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b(semiconduc-)265 4897 y(tor)27 b(surfaces)e(.)42 b(.)f(.)h(.)f(.)h(.)g (.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)107 b(26)-150 5079 y Fr(V)177 b(Laser-induced)32 b(desorption)645 b(27)-150 5262 y(VI)141 b(Conclusions)30 b(and)j(Outlo)s(ok)649 b(28)2657 503 y Fs(I.)30 b(INTR)n(ODUCTION)2125 721 y Fv(Understanding)35 b(reactions)f(on)i(surfaces)f(pla)n(ys)f(an)i(imp)r (or-)2042 820 y(tan)n(t)31 b(role)f(in)h(a)g(wide)g(range)e(of)i(tec)n (hnologically)f(relev)-5 b(an)n(t)30 b(ap-)2042 920 y(plications.)58 b(Among)35 b(those)g(are)f(the)h Fq(heter)l(o)l(genous)i(c)l(atalysis) 2042 1020 y Fv({)27 b(the)h(ma)5 b(jorit)n(y)27 b(of)h(reactions)e(in)i (the)g(c)n(hemical)g(industry)f(em-)2042 1119 y(plo)n(y)21 b(catalysts;)i Fq(crystal)j(gr)l(owth)p Fv(,)e(whic)n(h)e(determines,)h (e.g.,)g(the)2042 1219 y(qualit)n(y)30 b(of)g(semiconductor)g(devices;) h Fq(c)l(orr)l(osion)h Fv(and)f Fq(lubric)l(a-)2042 1318 y(tion)p Fv(,)36 b(whic)n(h)e(in\015uences)h(the)g(durabilit)n(y)e(of)i 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Fr(r)2774 2602 y Fl(n)2819 2590 y Fn(g)p Fv(\))p Fn(i)51 b Fv(=)f Fn(E)35 b(j)p Fv(\011\()p Fn(f)p Fr(R)3404 2602 y Fl(m)3466 2590 y Fo(;)14 b Fr(r)3542 2602 y Fl(n)3588 2590 y Fn(g)p Fv(\))p Fn(i)p Fo(:)261 b Fv(\(1\))2042 2773 y(In)40 b(this)g(equation)f Fr(R)2755 2785 y Fl(m)2857 2773 y Fv(are)g(the)h(ionic)f(co)r(ordinates)f(and)i Fr(r)4039 2785 y Fl(n)2042 2872 y Fv(the)30 b(electronic)f(co)r (ordinates.)43 b(It)30 b(is)g(w)n(ell-kno)n(wn)e(that)i(a)g(com-)2042 2972 y(plete)23 b(analytical)f(solution)h(of)g(the)g(Sc)n(hr\177)-42 b(odinger)21 b(equation)i(tak-)2042 3072 y(ing)f(in)n(to)g(accoun)n(t)g (b)r(oth)h(ionic)f(and)g(electronic)g(degrees)f(of)i(free-)2042 3171 y(dom)e(is)g(not)h(p)r(ossible)e(except)i(for)f(simple)g(cases.)34 b(One)21 b(common)2042 3271 y(approac)n(h)f(is)i(to)g(assume)g(that)g ({)g(due)g(to)h(the)f(large)f(mass)g(di\013er-)2042 3371 y(ence)j(b)r(et)n(w)n(een)h(electrons)e(and)i(the)f(n)n(uclei)h({)f (the)h(electrons)f(fol-)2042 3470 y(lo)n(w)f(the)h(motion)g(of)g(the)g (n)n(uclei)g(adiabatically)-7 b(.)35 b(This)23 b(is)h(the)h(fa-)2042 3570 y(mous)i(Born-Opp)r(enheimer)g(appro)n(ximation)f([70].)38 b(And)28 b(since)2042 3669 y(it)23 b(is)f(only)g(an)g(appro)n (ximation,)g(its)g(v)-5 b(alidit)n(y)22 b(has)g(to)h(b)r(e)f(c)n(hec)n (k)n(ed)2042 3769 y(carefully)-7 b(.)2125 3869 y(In)40 b(gas-surface)e(scattering)h(electronically)g(non-adiabatic)2042 3968 y(pro)r(cesses)j(are)g(indeed)i(o)r(ccuring.)84 b(They)44 b(are)e(directly)i(ob-)2042 4068 y(serv)-5 b(able)47 b(as)g(c)n(hemiluminescence)g(and)h(exo-electron)e(emis-)2042 4168 y(sion)g(\(see,)52 b(e.g.,)g(the)c(recen)n(t)e(review)h(of)g(T.)g (Greb)r(er)g([71]\).)2042 4267 y(Ho)n(w)n(ev)n(er,)k(the)e(prop)r(er)e (treatmen)n(t)h(of)h(electronically)e(non-)2042 4367 y(adiababic)29 b(e\013ects)i(in)g(gas-surface)e(dynamics)h(is)g(rather) g(com-)2042 4466 y(plex.)39 b(One)28 b(problem)f(that)i(go)r(es)e(with) i(the)g(complexit)n(y)f(of)g(the)2042 4566 y(non-adiabaticit)n(y)j(is)i (that)g(it)h(is)e(not)h(easy)f(to)h(judge)g(whether)2042 4666 y(the)23 b(dynamics)f(in)h(an)n(y)e(particular)h(system)g(is)g (indeed)h(electron-)2042 4765 y(ically)e(adiabatic)g(or)g(not.)35 b(The)22 b(usual)f(argumen)n(t)g(for)g(the)h(v)-5 b(alid-)2042 4865 y(it)n(y)22 b(of)g(the)g(Born-Opp)r(enheimer)f(appro)n(ximation)f (is)i(the)h(small-)2042 4965 y(ness)c(of)g(the)h(atomic)f(v)n(elo)r (cities)g(as)g(compared)g(to)g(the)h(electronic)2042 5064 y(v)n(elo)r(cities.)49 b(If)33 b(in)f(addition)g(the)g(adiabatic)f (energy)g(lev)n(els)g(are)2042 5164 y(w)n(ell-separated,)g(electronic)g (transitions)f(are)h(negligible)g(\(see,)2042 5263 y(e.g.,)39 b(Ref.)e([72]\).)64 b(F)-7 b(or)36 b(metals)g(the)i(situation)e(is)h (more)f(com-)2042 5363 y(plicated)28 b(due)g(to)g(the)g(quasi-con)n (tin)n(uum)f(of)g(electronic)h(states.)1946 5645 y(3)p eop %%Page: 4 4 4 3 bop -150 -83 a Fv(Since)35 b(the)g(e\013ectiv)n(e)f(p)r(oten)n (tials)h(and)f(the)h(coupling)f(b)r(et)n(w)n(een)-150 17 y(the)23 b(electronic)e(states)h(can)g(still)g(not)h(b)r(e)f (computed)h(rigorously)-7 b(,)-150 116 y(one)43 b(is)g(left)g(with)h (more)e(or)g(less)h(hand-w)n(a)n(ving)e(argumen)n(ts.)-150 216 y(Among)g(them)i(are)d(the)i(follo)n(wing:)64 b(\(i\))43 b(A)n(t)f(metal)g(surfaces)-150 315 y(electronic)37 b(excitations)f (are)h(v)n(ery)f(short-liv)n(ed.)64 b(Hence)38 b(elec-)-150 415 y(tronic)21 b(excitations)f(are)g(e\013ectiv)n(ely)h(quenc)n(hed.) 35 b(\(ii\))22 b(Molecular)-150 515 y(electronic)32 b(lev)n(els)g(b)r (ecome)h(rather)f(broad)f(up)r(on)i(the)h(in)n(terac-)-150 614 y(tion)27 b(with)g(surfaces.)36 b(Broad)25 b(lev)n(els)h(corresp)r (ond)f(to)i(short)f(life-)-150 714 y(times)20 b(of)f(excited)h(states)f (and)g(again,)h(this)g(leads)f(to)g(an)g(e\013ectiv)n(e)-150 814 y(quenc)n(hing)27 b(of)h(electronic)e(excitations.)-67 913 y(On)g(semiconductor)e(and)i(insulator)f(surfaces)f(the)j (situation)-150 1013 y(is)k(di\013eren)n(t)g(due)g(to)f(the)i(band)e (gap)g(whic)n(h)h(mak)n(es)f(the)h(treat-)-150 1112 y(men)n(t)g(of)g (electronically)f(excited)h(states)f(more)g(tractable.)46 b(A)n(t)-150 1212 y(the)41 b(end)f(of)g(this)g(review)g(I)g(will)g (presen)n(t)g(the)g(\014rst)g(descrip-)-150 1312 y(tion)30 b(of)g(electronically)e(non-adiabatic)h(pro)r(cesses)f(in)i(molecu-) -150 1411 y(lar)g(desorption)f(from)h(o)n(xide)f(surfaces)h(on)g(an)g Fq(ab)j(initio)e Fv(basis.)-150 1511 y(F)-7 b(or)38 b(metal)h (surfaces,)h(where)f(no)f(band)h(gap)f(exists,)j(a)d(more)-150 1611 y(practical)c(approac)n(h)g(has)h(still)h(to)f(b)r(e)h(applied)f (whic)n(h)g(is)h(just)-150 1710 y(to)31 b(p)r(erform)f(electronically)f (adiabatic)h(dynamical)g(studies)g(of)-150 1810 y(reactions)23 b(on)h(surfaces)f(as)h(w)n(ell)g(and)g(detailed)g(as)g(p)r(ossible)g (and)-150 1910 y(to)k(compare)g(the)g(results)g(of)h(these)f (high-qualit)n(y)g(calculations)-150 2009 y(with)34 b(exp)r(erimen)n (t.)55 b(As)34 b(long)f(as)g(the)h(consequences)f(of)g(these)-150 2109 y(sim)n(ulations)i(are)g(in)h(agreemen)n(t)e(with)i(exp)r(erimen)n (t,)i(there)e(is)-150 2208 y(apparen)n(tly)28 b(no)g(need)h(for)f(the)i (in)n(v)n(olv)n(emen)n(t)d(of)i(electronic)f(ex-)-150 2308 y(citations)g(in)g(the)h(describ)r(ed)f(pro)r(cesses.)37 b(F)-7 b(or)28 b(the)h(time)f(b)r(eing,)-150 2408 y(w)n(e)34 b(just)h(follo)n(w)f(this)g(practical)g(approac)n(h)e(and)i(assume)g (that)-150 2507 y(the)39 b(Born-Opp)r(enheimer)e(appro)n(ximation)g(is) h(justi\014ed.)71 b(W)-7 b(e)-150 2607 y(can)23 b(then)h(write)g(do)n (wn)f(the)h(electronic)f(Hamiltonian)h(in)f(whic)n(h)-150 2707 y(the)38 b(co)r(ordinates)f(of)g(the)i(n)n(uclei)e(just)i(en)n (ter)e(as)g(parameters.)-150 2806 y(This)28 b(Hamiltonian)f(has)g(the)h (form)-55 2989 y Fo(H)14 3001 y Fl(el)99 2989 y Fv(\()p Fn(f)p Fr(R)245 3001 y Fl(m)308 2989 y Fn(g)p Fv(\))f Fn(j)p Fo( )s Fv(\()p Fn(f)p Fr(r)602 3001 y Fl(n)647 2989 y Fn(g)p Fv(\))p Fn(i)51 b Fv(=)g Fo(E)32 b Fv(\()p Fn(f)p Fr(R)1159 3001 y Fl(m)1222 2989 y Fn(g)p Fv(\))27 b Fn(j)p Fo( )s Fv(\()p Fn(f)p Fr(r)1516 3001 y Fl(n)1562 2989 y Fn(g)p Fv(\))p Fn(i)p Fo(:)95 b Fv(\(2\))-150 3171 y(The)30 b(man)n(y-electron)d(ground)i(state)g(energy)g Fo(E)1382 3183 y Fm(0)1419 3171 y Fv(\()p Fn(f)p Fr(R)1565 3183 y Fl(m)1628 3171 y Fn(g)p Fv(\))g(then)-150 3271 y(de\014nes)i(the)g(p)r(oten)n(tial)f(for)g(the)h(motion)g(of)f(the)h (n)n(uclei.)46 b(Once)-150 3371 y(it)41 b(is)f(obtained,)j(it)d(can)g (b)r(e)g(plugged)g(in)n(to)g(the)g(Sc)n(hr\177)-42 b(odinger)-150 3470 y(equation)27 b(for)g(the)h(n)n(uclei,)-150 3581 y Fk( )-84 3644 y(X)-36 3821 y Fl(i)59 3667 y Fn(\000)p Fv(\026)-42 b Fo(h)172 3630 y Fm(2)p 59 3704 150 4 v 59 3780 a Fv(2)p Fo(M)182 3792 y Fl(i)219 3723 y Fn(r)288 3689 y Fm(2)288 3744 y Fj(R)344 3752 y Fi(i)421 3723 y Fv(+)45 b Fo(E)592 3735 y Fm(0)630 3723 y Fv(\()p Fn(f)p Fr(R)776 3735 y Fl(m)838 3723 y Fn(g)p Fv(\))912 3581 y Fk(!)1019 3723 y Fv(\010\()p Fn(f)p Fr(R)1225 3735 y Fl(m)1288 3723 y Fn(g)p Fv(\))23 b(=)50 b Fn(E)35 b Fv(\010\()p Fn(f)p Fr(R)1785 3735 y Fl(m)1847 3723 y Fn(g)p Fv(\))p Fo(;)1786 3950 y Fv(\(3\))-150 4132 y(where)c Fn(E)39 b Fv(is)32 b(no)n(w)f(the)h(energy)e(relev)-5 b(an)n(t)31 b(for)g(the)h(dynamics)f(of)-150 4232 y(the)i(n)n(uclei,)i (or,)e(alternativ)n(ely)-7 b(,)33 b(it)h(can)e(b)r(e)i(used)e(to)h (solv)n(e)f(the)-150 4332 y(classical)26 b(equations)h(of)g(motion,)190 4563 y Fo(M)271 4575 y Fl(i)351 4507 y Fo(@)400 4477 y Fm(2)p 336 4544 116 4 v 336 4620 a Fo(@)5 b(t)415 4596 y Fm(2)462 4563 y Fr(R)534 4575 y Fl(i)612 4563 y Fv(=)50 b Fn(\000)851 4507 y Fo(@)p 802 4544 148 4 v 802 4620 a(@)5 b Fr(R)923 4632 y Fl(i)959 4563 y Fo(E)1020 4575 y Fm(0)1058 4563 y Fv(\()p Fn(f)p Fr(R)1204 4575 y Fl(m)1266 4563 y Fn(g)p Fv(\))83 b Fo(:)340 b Fv(\(4\))-150 4781 y(F)-7 b(or)69 b(extended)g(systems)g(the)g(most)g(e\016cien)n(t)g (approac)n(h)-150 4881 y(to)52 b(determine)g(the)h(man)n(y-electron)d (ground)i(state)g(energy)-150 4980 y Fo(E)-89 4992 y Fm(0)-51 4980 y Fv(\()p Fn(f)p Fr(R)95 4992 y Fl(m)157 4980 y Fn(g)p Fv(\))26 b(from)g(\014rst)g(principles)f(is)h(densit)n(y) g(functional)g(the-)-150 5080 y(ory)d([73,74])g(in)h(com)n(bination)f (with)i(the)g(sup)r(ercell)f(concept.)35 b(In)-150 5180 y(this)f(approac)n(h)f(the)h(surface)g(is)g(mo)r(delled)g(b)n(y)g(a)g (p)r(erio)r(dic)g(ar-)-150 5279 y(ra)n(y)28 b(of)i(slabs)f(separated)f (b)n(y)i(v)-5 b(acuum)30 b(regions,)e(and)i(the)g(w)n(a)n(v)n(e)-150 5379 y(functions)d(are)f(expanded)g(in)h(a)f(suitable)h(basis)f(whic)n (h)h(is)f(often)2042 -83 y(based)c(on)h(plane)f(w)n(a)n(v)n(es)f(or)h (augmen)n(ted)g(plane)h(w)n(a)n(v)n(es.)33 b(Almost)2042 17 y(all)h(of)g(the)g Fq(ab)i(initio)g Fv(p)r(oten)n(tials)d(discussed) h(later)f(in)i(this)f(re-)2042 116 y(view)h(are)f(determined)i(in)g (this)f(w)n(a)n(y)-7 b(,)37 b(but)f(real-space)d([75,76])2042 216 y(and)24 b(Green)h(function)g(metho)r(ds)h([77{)n(79])e(ha)n(v)n(e) g(b)r(een)h(prop)r(osed)2042 315 y(as)e(w)n(ell.)35 b(And)25 b(also)e(quan)n(tum)h(c)n(hemical)f(metho)r(ds)h(are)f(used)h(in)2042 415 y(whic)n(h)d(the)h(in\014nite)h(substrate)e(is)g(mo)r(delled)h(b)n (y)f(a)g(\014nite)i(cluster)2042 515 y(\(see,)33 b(e.g.,)g(the)g(recen) n(t)f(review)f(of)h(Whitten)i(and)e(Y)-7 b(ang)32 b([80]\).)2042 614 y Fq(A)n(b)k(initio)g Fv(total)e(energy)g(calculations)g(are)f (brie\015y)i(discussed)2042 714 y(in)28 b(the)g(next)f(section.)2368 994 y Fs(B.)i Fu(A)n(b)f(initio)h Fs(total)i(energy)e(calculations)2125 1212 y Fv(In)c(this)g(review)f(I)h(will)h(fo)r(cus)f(on)f(the)i Fq(r)l(e)l(action)h(dynamics)i(on)2042 1312 y Fv(ab)23 b(initio)j Fq(p)l(otential)h(ener)l(gy)g(surfac)l(es)p Fv(,)e(not)e(on)h(the)g(determina-)2042 1411 y(tion)g(of)f(the)i(PESs.) 34 b(Still)25 b(I)f(will)g(in)n(tro)r(duce)f(some)g(basics)g(ab)r(out) 2042 1511 y(Densit)n(y)31 b(F)-7 b(unctional)31 b(Theory)f(\(DFT\).)i (F)-7 b(or)30 b(further)h(details)g(I)2042 1611 y(refer)20 b(to)h(more)f(extensiv)n(e)g(treatmen)n(ts)h(lik)n(e,)h(e.g.,)g(Refs.)f ([81,82].)2042 1710 y(DFT)38 b(is)g(based)f(up)r(on)h(the)g(Hohenb)r (erg-Kohn)f(theorem)g([73])2042 1810 y(whic)n(h)27 b(states)g(that)g (the)h(ground-state)d(total)i(energy)f(of)h(a)g(sys-)2042 1909 y(tem)22 b(of)h(in)n(teracting)e(electrons)g Fo(E)3106 1921 y Fm(tot)3218 1909 y Fv(can)h(b)r(e)g(obtained)g(b)n(y)g(min-)2042 2009 y(imizing)27 b(an)h(energy)e(functional)i Fo(E)5 b Fv([)p Fo(n)p Fv(],)2071 2192 y Fo(E)2132 2204 y Fm(tot)2272 2192 y Fv(=)51 b(min)14 b Fo(E)5 b Fv([)p Fo(n)p Fv(])51 b(=)f(min\()p Fo(T)12 b Fv([)p Fo(n)p Fv(])46 b(+)f Fo(U)9 b Fv([)p Fo(n)p Fv(])46 b(+)18 b Fo(E)3708 2157 y Fm(xc)3777 2192 y Fv([)p Fo(n)p Fv(]\))p Fo(:)50 b Fv(\(5\))2042 2374 y Fo(T)12 b Fv([)p Fo(n)p Fv(])28 b(and)i Fo(U)9 b Fv([)p Fo(n)p Fv(])29 b(are)f(the)i(functionals)f(of)h(the)g(non-in)n (teracting)2042 2474 y(man)n(y)38 b(electron)g(kinetic)i(and)e (electrostatic)g(energy)-7 b(,)41 b(resp)r(ec-)2042 2574 y(tiv)n(ely)-7 b(.)65 b(All)38 b(quan)n(tum)f(mec)n(hanical)f(man)n (y-b)r(o)r(dy)h(e\013ects)g(are)2042 2673 y(con)n(tained)43 b(in)i(the)f(so)g(far)f(unkno)n(wn)h(exc)n(hange-correlation)2042 2773 y(functional)28 b Fo(E)2498 2743 y Fm(xc)2567 2773 y Fv([)p Fo(n)p Fv(].)39 b(The)28 b(electron)g(densit)n(y)g Fo(n)p Fv(\()p Fr(r)p Fv(\))h(whic)n(h)f(min-)2042 2872 y(imizes)44 b(the)g(total)g(energy)f(can)g(b)r(e)i(found)f(b)n(y)f (solving)g(self-)2042 2972 y(consisten)n(tly)27 b(the)h(Kohn-Sham)e (equations)h([74])2042 3215 y Fo(H)7 b( )2172 3227 y Fl(i)2199 3215 y Fv(\()p Fr(r)p Fv(\))52 b(=)2469 3098 y Fk(\024)2523 3159 y Fn(\000)p Fv(\026)-42 b Fo(h)2635 3122 y Fm(2)p 2523 3196 150 4 v 2541 3272 a Fv(2)p Fo(m)2683 3215 y Fn(r)2752 3181 y Fm(2)2835 3215 y Fv(+)46 b Fo(V)3013 3181 y Fm(es)3073 3215 y Fv(\()p Fr(r)p Fv(\))h(+)e Fo(V)3400 3181 y Fm(xc)3469 3215 y Fv(\()p Fr(r)p Fv(\))3572 3098 y Fk(\025)3630 3215 y Fo( )3684 3227 y Fl(i)3712 3215 y Fv(\()p Fr(r)p Fv(\))52 b(=)e Fo(")4021 3227 y Fl(i)4048 3215 y Fo( )4102 3227 y Fl(i)4130 3215 y Fv(\()p Fr(r)p Fv(\))p Fo(;)3978 3414 y Fv(\(6\))2042 3597 y(where)43 b Fo(T)55 b Fv(is)44 b(the)g(single-particle)f(kinetic)h(energy)f(op)r (erator)2042 3696 y(and)d Fo(V)2283 3666 y Fm(es)2343 3696 y Fv(\()p Fr(r)p Fv(\))i(the)f(electrostatic)e(p)r(oten)n(tial.)76 b(The)41 b(exc)n(hange-)2042 3796 y(correlation)32 b(p)r(oten)n(tial)i Fo(V)2888 3766 y Fm(xc)2957 3796 y Fv(\()p Fr(r)p Fv(\))h(is)f(the)h (functional)f(deriv)-5 b(ativ)n(e)2042 3896 y(of)27 b(the)h(exc)n (hange-correlation)c(functional)k Fo(E)3506 3866 y Fm(xc)3574 3896 y Fv([)p Fo(n)p Fv(])2650 4126 y Fo(V)2717 4092 y Fm(xc)2786 4126 y Fv(\()p Fr(r)p Fv(\))51 b(=)3066 4070 y Fo(\016)s(E)3172 4040 y Fm(xc)3240 4070 y Fv([)p Fo(n)p Fv(])p 3066 4107 271 4 v 3156 4183 a Fo(\016)s(n)3346 4126 y(:)609 b Fv(\(7\))2042 4337 y(The)29 b(exc)n(hange-correlation)d (functional)k Fo(E)3445 4307 y Fm(xc)3514 4337 y Fv([)p Fo(n)p Fv(])f(can)h(b)r(e)g(writ-)2042 4436 y(ten)e(as)2436 4641 y Fo(E)2502 4606 y Fm(xc)2571 4641 y Fv([)p Fo(n)p Fv(])50 b(=)2833 4528 y Fk(Z)2930 4641 y Fo(d)2973 4606 y Fm(3)3010 4641 y Fr(r)28 b Fo(n)p Fv(\()p Fr(r)p Fv(\))g Fo(\017)3292 4606 y Fm(xc)3361 4641 y Fv([)p Fo(n)p Fv(]\()p Fr(r)p Fv(\))p Fo(;)395 b Fv(\(8\))2042 4866 y(where)30 b Fo(\017)2319 4836 y Fm(xc)2387 4866 y Fv([)p Fo(n)p Fv(])h(is)f(the)h(exc)n(hange-correlation)c(energy)i(p)r(er)h(par-)2042 4965 y(ticle.)38 b(This)27 b(exc)n(hange-correlation)d(energy)j(is)h (not)g(kno)n(wn)f(ex-)2042 5065 y(actly)f(except)g(for)g(some)f(sp)r (ecial)h(cases)g(lik)n(e)f(constan)n(t)h(electron)2042 5165 y(densit)n(y)-7 b(.)35 b(In)21 b(a)h(wide)f(range)f(of)i(bulk)g (and)f(surface)g(problems)g(the)2042 5264 y(so-called)38 b(lo)r(cal)h(densit)n(y)g(appro)n(ximation)f(\(LD)n(A\),)i(in)g(whic)n (h)2042 5364 y Fo(\017)2076 5334 y Fm(xc)2144 5364 y Fv([)p Fo(n)p Fv(])29 b(is)g(replaced)g(b)n(y)g(the)g(exc)n (hange-correlation)d(energy)i(for)1946 5645 y(4)p eop %%Page: 5 5 5 4 bop -150 -83 a Fv(the)24 b(homogeneous)e(electron)h(gas,)g(has)g(b) r(een)h(surprisingly)e(suc-)-150 17 y(cessful)34 b([82].)57 b(F)-7 b(or)34 b(disso)r(ciation)f(barriers)f(on)i(surfaces,)h(ho)n(w-) -150 116 y(ev)n(er,)26 b(LD)n(A)i(is)f(seriously)e(in)j(error.)34 b(In)28 b(the)f(generalized)f(gradi-)-150 216 y(en)n(t)19 b(appro)n(ximation)e(\(GGA\))k(also)d(the)h(gradien)n(t)f(of)h(the)h (densit)n(y)-150 315 y(is)34 b(included)h(in)g(the)g(exc)n (hange-correlation)30 b(functional.)58 b(Dif-)-150 415 y(feren)n(t)26 b(forms)f(for)g(the)h(GGA)g(functional)g(ha)n(v)n(e)e(b) r(een)i(prop)r(osed)-150 515 y(\(see,)40 b(e.g.,)f(Refs.)e([83{)o (86]\).)65 b(The)37 b(use)h(of)f(GGA)h(functionals)-150 614 y(leads)23 b(to)g(a)g(signi\014can)n(t)g(impro)n(v)n(emen)n(t)f(in) i(the)g(accuracy)e(of)h(cal-)-150 714 y(culated)35 b(barrier)e(heigh)n (ts)i([39,85].)57 b(Still)36 b(the)f(v)-5 b(alidit)n(y)35 b(of)g(the)-150 814 y(GGA)23 b(is)g(strongly)e(debated,)j(in)f (particular)e(in)i(the)g(H)1555 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1910 y(to)g(c)n(hec)n(k)g(the) g(accuracy)f(of)h(the)h(c)n(hosen)e(exc)n(hange-correlation)-150 2009 y(functional.)-67 2109 y(The)35 b(sup)r(ercell)f(approac)n(h)f (allo)n(ws)g(to)i(transfer)f(DFT)h(algo-)-150 2208 y(rithms,)h(that)e (ha)n(v)n(e)f(b)r(een)i(v)n(ery)e(successfully)h(applied)g(to)g(the) -150 2308 y(determination)k(of)g(bulk)g(prop)r(erties,)i(to)e(the)g (description)f(of)-150 2408 y(surface)c(problems.)54 b(Esp)r(ecially)33 b(the)h(seminal)g(pap)r(er)f(b)n(y)g(Car)-150 2507 y(and)38 b(P)n(arrinello)e([88])i(has)f(dra)n(wn)h(a)g(lot)g(of)g (atten)n(tion.)69 b(Due)-150 2607 y(to)33 b(the)h(v)-5 b(ariational)31 b(principle)j(of)f(densit)n(y)g(functional)g(theory) -150 2707 y(the)f(determination)f(of)g(the)h(electronic)e(ground)h (state)g(can)g(b)r(e)-150 2806 y(regarded)f(as)i(a)g(global)f (optimization)g(sc)n(heme)h(th)n(us)g(a)n(v)n(oiding)-150 2906 y(the)20 b(explicit)g(diagonalization)e(of)i(h)n(uge)f(matrices.) 34 b(Suc)n(h)19 b(an)h(ap-)-150 3005 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b(the)h(c)n(hoice)e(is)h(dictated)2042 2806 y(b)n(y)22 b(the)i(dynamics)e(algorithm)g(in)h(whic)n(h)g(the)g (represen)n(tation)e(is)2042 2906 y(used.)34 b(The)20 b(applications)f(ha)n(v)n(e)g(almost)g(en)n(tirely)g(b)r(een)i(dev)n (oted)2042 3005 y(to)34 b(the)h(in)n(teraction)f(of)g(a)g(diatomic)h (molecule)f(with)h(the)g(sur-)2042 3105 y(face.)g(The)23 b(angular)e(orien)n(tation)h(of)g(the)i(molecule)e(has)h(usually)2042 3205 y(b)r(een)j(expanded)g(in)g(spherical)f(harmonics)g(and)g(the)i (cen)n(ter-of-)2042 3304 y(mass)19 b(co)r(ordinates)f(parallel)h(to)g (the)h(surface)f(in)h(a)g(F)-7 b(ourier)18 b(series)2042 3404 y([47,50,61,93].)54 b(F)-7 b(or)34 b(the)h(PES)e(in)i(the)g(plane) f(of)h(the)g(molecu-)2042 3503 y(lar)d(distance)h(from)g(the)h(surface) e(and)h(the)h(in)n(teratomic)e(sepa-)2042 3603 y(ration)h(a)h(represen) n(tation)f(in)i(reaction)e(path)h(co)r(ordinate)g(has)2042 3703 y(b)r(een)k(emplo)n(y)n(ed)f([50,61,93,94],)f(but)j(also)d(t)n(w)n (o-b)r(o)r(dy)h(p)r(oten-)2042 3802 y(tials)d(ha)n(v)n(e)f(b)r(een)i (used)f([47].)57 b(Before)33 b(detailed)h Fq(ab)j(initio)f Fv(p)r(o-)2042 3902 y(ten)n(tials)24 b(b)r(ecame)h(a)n(v)-5 b(ailable,)24 b(the)h(LEPS)f(form)g(w)n(as)g(often)h(used)2042 4002 y(to)41 b(construct)f(a)g(global)g(PES)g([35].)76 b(This)41 b(parametrization)2042 4101 y(con)n(tains)33 b(only)i(a)f(small)g(n)n(um)n(b)r(er)h(of)f(adjustable)h(parameters) 2042 4201 y(whic)n(h)e(made)g(it)h(so)e(attractiv)n(e)g(for)h(mo)r(del) g(calculations,)h(but)2042 4300 y(whic)n(h)27 b(mak)n(es)f(it)i(at)f (the)h(same)f(time)h(relativ)n(ely)e(un\015exible.)37 b(A)2042 4400 y(mo)r(di\014ed)28 b(LEPS)f(p)r(oten)n(tial)h(has)f (still)h(b)r(een)h(successfully)e(used)2042 4500 y(to)33 b(\014t)h(an)f Fq(ab)j(initio)f Fv(PES)d(of)i(the)g(in)n(teraction)e (of)i(atomic)f(h)n(y-)2042 4599 y(drogen)26 b(with)i(the)g(the)g(h)n (ydrogenated)e(Si\(100\))h(surface)g([62].)2125 4699 y(As)k(an)g(alternativ)n(e)e(approac)n(h)g(to)i(\014t)h Fq(ab)h(initio)f Fv(energies,)f(a)2042 4799 y(genetic)20 b(programming)e(sc)n(heme)i(has)g(recen)n(tly)g(b)r(een)h(prop)r(osed,) 2042 4898 y(in)g(whic)n(h)g(b)r(oth)g(the)g(b)r(est)h(functional)f (form)f(and)h(the)g(b)r(est)g(set)g(of)2042 4998 y(parameters)i(are)i (searc)n(hed)f(for)h([95].)35 b(This)25 b(metho)r(d)h(has)f(so)g(far) 2042 5097 y(only)33 b(b)r(een)h(used)f(for)g(three-dimensional)f(p)r (oten)n(tials)h(so)g(that)2042 5197 y(its)20 b(capabilit)n(y)f(still)h (has)g(to)g(b)r(e)g(pro)n(v)n(en)e(for)i(higher-dimensional)2042 5297 y(problems.)1946 5645 y(5)p eop %%Page: 6 6 6 5 bop -67 -83 a Fq(A)n(b)39 b(initio)g Fv(total)e(energies)f(are)h (often)h(mainly)f(determined)-150 17 y(at)g(high-symmetry)g(p)r(oin)n (ts)g(of)h(the)f(surface)g(in)h(order)e(to)h(re-)-150 116 y(duce)30 b(the)h(computational)e(cost.)44 b(It)30 b(is)g(true)g(that)h(these)f(high-)-150 216 y(symmetry)25 b(p)r(oin)n(ts)h(usually)f(re\015ect)h(the)g(extrema)f(in)h(the)g(PES.) -150 315 y(Ho)n(w)n(ev)n(er,)e(due)i(to)g(this)g(limitation)g(the)h (\014tted)f(con)n(tinous)f(PES)-150 415 y(can)37 b(only)h(con)n(tain)f (terms)h(that)g(corresp)r(ond)e(to)i(these)g(high-)-150 515 y(symmetry)32 b(situations.)50 b(On)32 b(the)h(one)f(hand)g(this)h (often)f(sa)n(v)n(es)-150 614 y(computer)39 b(time)g(also)f(in)i(the)f (quan)n(tum)g(dynamics)g(b)r(ecause)-150 714 y(certain)20 b(additional)f(selection)h(rules)g(are)f(in)n(tro)r(duced)h(whic)n(h)g (re-)-150 814 y(duces)k(the)h(necessary)e(basis)h(set)h([47,50].)34 b(On)24 b(the)h(other)f(hand,)-150 913 y(of)19 b(course)e(this)i (represen)n(ts)e(an)h(appro)n(ximation.)32 b(The)19 b(question,)-150 1013 y(ho)n(w)24 b(serious)f(the)i(neglect)f(of)h(terms)f(with)h(lo)n (w)n(er)e(symmetry)h(is,)-150 1112 y(remains)19 b(op)r(en)h(un)n(til)g (these)g(terms)f(ha)n(v)n(e)g(b)r(een)h(determined)g(and)-150 1212 y(included)28 b(in)g(actual)f(dynamical)g(calculations.)-67 1312 y(If)42 b(more)g(than)g(just)g(the)h(molecular)d(degrees)h(of)h 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(e\016cien)n(ts)2042 5396 y Fo( )2096 5408 y Fl(n)2141 5396 y Fv(\()p Fo(s)p Fv(\))29 b(are)f(assumed)g(to)g(b)r(e)h(a)f (function)h(of)g(the)g(reaction)e(path)1946 5645 y(6)p eop %%Page: 7 7 7 6 bop -150 -83 a Fv(co)r(ordinate.)39 b(No)n(w)28 b(w)n(e)g(insert)h (the)g(expansion)e(of)i(\011)f(in)h(Eq.)f(10)-150 17 y(and)42 b(m)n(ultiply)h(the)g(Sc)n(hr\177)-42 b(odinger)41 b(equation)h(b)n(y)g Fn(h)p Fo(m)p Fn(j)p Fv(,)k(whic)n(h)-150 116 y(corresp)r(onds)29 b(to)i(p)r(erforming)f(a)h(m)n (ulti-dimensional)g(in)n(tegral.)-150 216 y(Since)c(the)g(basis)e (functions)i Fn(j)p Fo(n)p Fn(i)g Fv(are)f(assumed)g(to)g(b)r(e)h (indep)r(en-)-150 315 y(den)n(t)j(of)h Fo(s)p Fv(,)g(w)n(e)e(end)i(up)f (with)h(the)g(so-called)d(coupled-c)n(hannel)-150 415 y(equations,)-80 573 y Fk(X)-41 747 y Fl(n)53 534 y Fk(\032)116 652 y Fv(\()158 595 y Fn(\000)p Fv(\026)-42 b Fo(h)270 558 y Fm(2)p 158 632 150 4 v 187 708 a Fv(2)p Fo(\026)318 652 y(@)367 617 y Fm(2)362 672 y Fl(s)450 652 y Fn(\000)45 b Fo(E)5 b Fv(\))28 b Fo(\016)723 664 y Fl(m;n)866 652 y Fv(+)45 b Fn(h)p Fo(m)p Fn(j)1126 631 y Fv(~)1104 652 y Fo(H)7 b Fn(j)p Fo(n)p Fn(i)1285 534 y Fk(\033)1389 652 y Fo( )1443 664 y Fl(n)1489 652 y Fv(\()p Fo(s)p Fv(\))51 b(=)f(0)p Fo(:)1745 876 y Fv(\(12\))-150 1057 y(Instead)37 b(of)h(a)f(partial)f(di\013eren)n(tial)h(equation)g({)g (the)h(original)-150 1156 y(time-indep)r(enden)n(t)33 b(Sc)n(hr\177)-42 b(odinger)30 b(equation)i(Eq.)g(9)f({)h(w)n(e)g(no)n (w)-150 1256 y(ha)n(v)n(e)24 b(a)h(set)h(of)f(coupled)g(ordinary)f (di\013eren)n(tial)h(equation.)36 b(Still)-150 1355 y(a)e(straigh)n (tforw)n(ard)e(n)n(umerical)i(in)n(tegration)g(of)h(the)g(coupled-)-150 1455 y(c)n(hannel)21 b(equations)g(leads)h(to)f(instabilities,)i (except)f(for)g(in)g(sim-)-150 1555 y(ple)h(cases,)f(due)g(to)h(exp)r (onen)n(tially)e(increasing)g(so-called)g(closed)-150 1654 y(c)n(hannels.)59 b(Recen)n(tly)35 b(a)g(v)n(ery)f(stable)h(and)g (e\016cien)n(t)g(coupled-)-150 1754 y(c)n(hannel)g(algorithm)f(has)h(b) 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b(then)g(write)g(the)h (solution)e(of)h(the)h(Sc)n(hr\177)-42 b(odinger)29 b(equation)-150 3112 y(for)e(a)g(scattering)g(problem)g(in)h(a)f(matrix)g(notation)g (as)283 3293 y(\011\()p Fo(s)c Fn(!)g Fv(+)p Fn(1)p Fv(\))g(=)g Fo(e)878 3259 y Fh(\000)p Fl(iq)r(s)1067 3293 y Fn(\000)45 b Fo(e)1216 3259 y Fh(\000)p Fl(iq)r(s)1387 3293 y Fo(r)n(;)283 3417 y Fv(\011\()p Fo(s)23 b Fn(!)g(\0001)p Fv(\))g(=)g Fo(e)878 3383 y Fh(\000)p Fl(iq)r(s)1048 3417 y Fo(t:)644 b Fv(\(14\))-150 3598 y(Here)34 b Fo(q)j Fv(=)c Fo(q)262 3610 y Fl(m)325 3598 y Fo(\016)362 3610 y Fl(m;n)520 3598 y Fv(is)h(a)g(diagonal)f(matrix,)i Fo(r)i Fv(and)d Fo(t)g Fv(are)f(the)-150 3698 y(re\015ection)18 b(and)h(transmission)e (matrix,)j(resp)r(ectiv)n(ely)-7 b(.)34 b(No)n(w)18 b(one)-150 3797 y(mak)n(es)27 b(the)h(follo)n(wing)e(ansatz)h(for)g(the)h(w)n(a)n (v)n(e)e(function,)308 4013 y(\011\()p Fo(s)p Fv(\))50 b(=)h(\(1)18 b Fn(\000)g Fo(\032)p Fv(\()p Fo(s)p Fv(\)\))1101 3957 y(1)p 1047 3994 V 1047 4070 a Fo(\034)9 b 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y(equations)f(for)h(b)r(oth)g(matrices)f(can)h(b)r(e)g(deriv)n(ed) g([108{)n(111])-150 5297 y(whic)n(h)33 b(can)g(b)r(e)h(solv)n(ed)e(b)n (y)h(starting)f(from)h(the)h(kno)n(wn)e(initial)-150 5396 y(v)-5 b(alues)36 b(at)g Fo(s)i Fn(!)g(\0001)p Fv(;)j(at)36 b Fo(s)i Fn(!)g Fv(+)p Fn(1)e Fv(one)g(then)h(obtains)f(the)2042 -83 y(ph)n(ysical)30 b(re\015ection)h(and)g(transmission)f(matrices.)48 b(Th)n(us)31 b(the)2042 17 y(n)n(umerically)h(unstable)h(b)r(oundary)g (v)-5 b(alue)33 b(problem)g(has)g(b)r(een)2042 116 y(transformed)26 b(to)i(a)f(stable)g(initial)h(v)-5 b(alue)28 b(problem.)2125 216 y(In)23 b(the)g(time-dep)r(enden)n(t)g(or)f(w)n(a)n(v)n(e-pac)n(k)n (et)d(form)n(ulation,)k(the)2042 315 y(solution)k(of)g(the)h(time-dep)r (enden)n(t)h(Sc)n(hr\177)-42 b(odinger)26 b(equation)2472 530 y Fo(i)p Fv(\026)-42 b Fo(h)2601 474 y(@)p 2586 511 79 4 v 2586 587 a(@)5 b(t)2702 530 y Fv(\011\()p Fr(R)p Fo(;)14 b(t)p Fv(\))50 b(=)h Fo(H)34 b Fv(\011\()p Fr(R)p Fo(;)14 b(t)p Fv(\))430 b(\(17\))2042 729 y(can)27 b(formally)g(b)r(e)h (written)g(as)2400 905 y(\011\()p Fr(R)p Fo(;)14 b(t)p Fv(\))50 b(=)h Fo(e)2873 870 y Fh(\000)p Fl(iH)t(t=)p Fm(\026)-34 b Fl(h)3135 905 y Fv(\011\()p Fr(R)p Fo(;)14 b(t)23 b Fv(=)f(0\))p Fo(;)359 b Fv(\(18\))2042 1080 y(if)44 b(the)h(p)r(oten)n(tial)f(is)g(time-indep)r(enden)n(t.)87 b(The)44 b(most)g(com-)2042 1180 y(mon)51 b(metho)r(ds)h(to)f(represen) n(t)f(the)i(time-ev)n(olution)f(op)r(era-)2042 1279 y(tor)41 b(exp)o(\()p Fn(\000)p Fo(iH)7 b(t=)p Fv(\026)-42 b Fo(h)o Fv(\))42 b(in)f(the)h(gas-surface)d(dynamics)i(comm)n(u-)2042 1379 y(nit)n(y)31 b(are)g(the)h(split-op)r(erator)e([112,113])f(and)i (the)h(Cheb)n(yc)n(hev)2042 1479 y([114])g(metho)r(ds.)54 b(In)34 b(the)f(split-op)r(erator)f(metho)r(d,)j(the)f(time-)2042 1578 y(ev)n(olution)27 b(op)r(erator)e(for)i(small)h(time)g(steps)f (\001)p Fo(t)h Fv(is)g(written)f(as)2042 1757 y Fo(e)2081 1722 y Fh(\000)p Fl(iH)t Fm(\001)p Fl(t=)p Fm(\026)-34 b Fl(h)2421 1757 y Fv(=)50 b Fo(e)2575 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y(metho)r(ds)39 b(ha)n(v)n(e)e(b)r(een)i(m)n(uc)n(h)f(more)g (fashionable)f(than)i(time-)2042 3902 y(indep)r(enden)n(t)e(sc)n(hemes) e(in)h(the)g(gas-surface)d(dynamics)j(com-)2042 4002 y(m)n(unit)n(y)-7 b(.)70 b(Man)n(y)38 b(di\013eren)n(t)g(groups)f(ha)n (v)n(e)h(used)g(w)n(a)n(v)n(e-pac)n(k)n(et)2042 4101 y(co)r(des)k(to)g(study)h(the)g(disso)r(ciation)e(dynamics)h(on)g (surfaces,)2042 4201 y(up)27 b(to)h(recen)n(tly)e(almost)h(en)n(tirely) f(on)h(lo)n(w-dimensional)f(mo)r(del)2042 4301 y(p)r(oten)n(tials)j ([3{)o(5,10,13,14,16,116{)-6 b(118].)40 b(It)30 b(has)f(b)r(een)g (argued)2042 4400 y(that)j(w)n(a)n(v)n(e-pac)n(k)n(et)c(metho)r(ds)k(a) n(v)n(oid)e("the)i(problem)f(of)g(exces-)2042 4500 y(siv)n(ely)e(man)n (y)g(c)n(hannels")g([38].)43 b(But)31 b(actually)e(these)h(metho)r(ds) 2042 4599 y(su\013er)h(from)h(the)g(fact)g(that)g(the)g(w)n(a)n(v)n(e)e (function)j(and)e(the)i(p)r(o-)2042 4699 y(ten)n(tial)28 b(are)f(represen)n(ted)g(on)h(a)g(grid)g(whic)n(h)g(leads)g(to)g 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b(addition,)i(while)e(in)-150 216 y(the)26 b Fo(LO)r(R)q(E)19 b Fn(\000)14 b Fo(I)7 b(N)i(T)j(R)q(A)24 b Fv(sc)n(heme)h([108{)n(111])f(the)i(matrices)e(are)-150 315 y(successiv)n(ely)31 b(determined)h(along)f(the)h(reaction)f(path)i (and)f(do)-150 415 y(not)c(ha)n(v)n(e)f(to)g(b)r(e)i(stored,)e(in)h(w)n (a)n(v)n(e-pac)n(k)n(et)d(metho)r(ds)j(the)g(w)n(a)n(v)n(e)-150 515 y(function)e(has)f(alw)n(a)n(ys)f(to)i(b)r(e)g(stored)f(ev)n (erywhere)f(on)h(the)h(grid.)-150 614 y(The)i(sa)n(ving)e(in)i(storage) e(requiremen)n(ts)h(is)h(one)f(of)h(the)g(reasons)-150 714 y(that)i(the)g(\014rst)f(six-dimensional)f(quan)n(tum)h(dynamical)g (treat-)-150 814 y(men)n(t)j(of)g(h)n(ydrogen)f(disso)r(ciation)g(on)h (surfaces)e(w)n(as)h(indeed)i(a)-150 913 y(time-indep)r(enden)n(t)21 b(one)e(using)g(the)h Fo(LO)r(R)q(E)7 b Fn(\000)r Fo(I)g(N)i(T)j(R)q(A) 19 b Fv(sc)n(heme)-150 1013 y([50].)454 1293 y Fs(E.)29 b(Classical)i(dynamics)-67 1511 y Fv(Once)j(an)g(analytical)f(con)n (tinous)g(represen)n(tation)g(of)h(an)g Fq(ab)-150 1611 y(initio)j Fv(PES)f(is)g(a)n(v)-5 b(ailable,)37 b(it)g(is)f(also)f(p)r (ossible)h(to)g(determine)-150 1710 y(the)g(gradien)n(ts)e(of)h(the)h (p)r(oten)n(tial)g(analytically)-7 b(.)59 b(This)36 b(allo)n(ws)-150 1810 y(one)31 b(to)h(p)r(erform)f Fq(ab)j(initio)f Fv(molecular)e (dynamics)g(studies)h(b)n(y)-150 1909 y(in)n(tegrating)26 b(the)i(classical)e(equations)h(of)h(motion,)241 2141 y Fo(M)322 2153 y Fl(i)401 2084 y Fo(@)450 2054 y Fm(2)p 386 2122 116 4 v 386 2198 a Fo(@)5 b(t)465 2174 y Fm(2)512 2141 y Fr(R)584 2153 y Fl(i)662 2141 y Fv(=)51 b Fn(\000)902 2084 y Fo(@)p 853 2122 148 4 v 853 2198 a(@)5 b Fr(R)974 2210 y Fl(i)1010 2141 y Fo(V)19 b Fv(\()p Fn(f)p Fr(R)1223 2153 y Fl(j)1257 2141 y Fn(g)p Fv(\))p Fo(:)391 b Fv(\(21\))-150 2359 y(The)27 b(solution)f(of)h(the)g(equations)f(of)h(motion)g(can)f (b)r(e)i(obtained)-150 2459 y(b)n(y)35 b(standard)g(n)n(umerical)g(in)n (tegration)g(sc)n(hemes)g(lik)n(e)g(Runge-)-150 2558 y(Kutta,)61 b(Burlisc)n(h-Sto)r(er)53 b(or)h(predictor-corrector)d (metho)r(ds)-150 2658 y(\(see,)45 b(e.g.,)g(Ref.)d([115]\).)79 b(Stic)n(king)41 b(corresp)r(onds)f(to)h(a)h(pro-)-150 2758 y(cess)e(in)h(whic)n(h)g(statistically)f(distributed)i(particles)e (hit)h(the)-150 2857 y(surface.)50 b(This)32 b(means)g(that)h(the)g (determination)f(of)g(classical)-150 2957 y(stic)n(king)j (probabilities)f(requires)h(an)g(a)n(v)n(erage)d(o)n(v)n(er)i(t)n (ypically)-150 3056 y(thousands)d(of)i(tra)5 b(jectories.)48 b(The)32 b(initial)h(conditions)e(can)h(b)r(e)-150 3156 y(c)n(hosen)k(either)i(b)n(y)f(some)f(Mon)n(te-Carlo)g(sampling)g(or)h (b)n(y)g(an)-150 3256 y(equidistan)n(t)27 b(sampling.)-67 3355 y(Most)55 b Fq(ab)h(initio)g Fv(total-energy)e(programmes)f(based) i(on)-150 3455 y(plane-w)n(a)n(v)n(e)25 b(expansions)h(also)g(ev)-5 b(aluate)27 b(the)g(gradien)n(ts)f(of)h(the)-150 3555 y(p)r(oten)n(tial)47 b(via)f(the)i(Hellmann-F)-7 b(eynman)47 b(theorem)f([54,55].)-150 3654 y(With)34 b(these)g(forces)e(the)i (classical)e(equations)h(of)h(motion)f(can)-150 3754 y(directly)24 b(b)r(e)h(solv)n(ed.)35 b(This)24 b(\\traditional")f Fq(ab)k(initio)f Fv(molecular)-150 3853 y(dynamics)39 b(sc)n(heme)f(with)i(the)f(determination)g(of)g(the)g(forces)-150 3953 y(on)i(the)g(\015y)g(has)f(the)i(adv)-5 b(an)n(tage)39 b(that)j(it)f(do)r(es)g(not)g(require)-150 4053 y(the)31 b(\014tting)h(of)f(the)g Fq(ab)i(initio)g Fv(PES)d(to)h(an)n(y)f (analytical)g(or)g(n)n(u-)-150 4152 y(merical)j(represen)n(tation.)54 b(This)34 b(is)g(esp)r(ecially)g(adv)-5 b(an)n(tageous)-150 4252 y(if)35 b(surface)g(degrees)e(of)i(freedom)g(pla)n(y)f(an)h(imp)r (ortan)n(t)f(role)g(in)-150 4352 y(the)d(disso)r(ciation)f(pro)r(cess.) 44 b(On)31 b(the)g(other)f(hand,)h(ev)n(ery)e(step)-150 4451 y(of)k(the)h(n)n(umerical)e(in)n(tegration)g(of)h(the)g(equations) g(of)g(motion)-150 4551 y(requires)24 b(a)h(new)g Fq(ab)k(initio)d Fv(total-energy)e(calculation)g(whic)n(h)i(is)-150 4650 y(still)e(rather)e(time-consuming.)35 b(Hence)24 b(the)g(n)n(um)n(b)r (er)f(of)h(tra)5 b(jec-)-150 4750 y(tories)30 b(obtainable)g(in)h(suc)n (h)g(a)g(\\during)e(the)j(journey")e Fq(ab)j(ini-)-150 4850 y(tio)28 b Fv(molecular)d(dynamics)i(sim)n(ulation)f(is)h(limited) h(to)f(n)n(um)n(b)r(ers)-150 4949 y(w)n(ell)37 b(b)r(elo)n(w)g(100)e ([57{)o(60].)64 b(Suc)n(h)38 b(a)e(sim)n(ulation)h(only)f(mak)n(es)-150 5049 y(sense)d(if)i(one)e(can)h(extract)f(meaningful)h(information)f (from)h(a)-150 5149 y(lo)n(w)d(n)n(um)n(b)r(er)g(of)g(ev)n(en)n(ts.)47 b(F)-7 b(or)31 b(the)h(sim)n(ulation)f(of)g(adsorption)-150 5248 y(ev)n(en)n(ts)37 b(this)g(is)h(usually)e(not)i(the)g(case,)h(but) f(for)e(desorption,)-150 5348 y(where)26 b(the)i(particles)e(originate) g(from)g(a)h(small)g(p)r(ortion)f(of)h(the)2042 -83 y(phase)34 b(space,)i(\\on)e(the)h(\015y")f Fq(ab)j(initio)f Fv(molecular)e (dynamics)2042 17 y(sim)n(ulations)27 b(can)g(still)h(b)r(e)g(useful)g ([58].)2125 116 y(But)h(ev)n(en)g(if)h(an)f(analytical)f(represen)n (tation)g(of)h(the)h Fq(ab)i(ini-)2042 216 y(tio)40 b Fv(PES)e(is)i(a)n(v)-5 b(ailable,)41 b(there)e(is)g(still)h(some)f (computational)2042 315 y(e\013ort)19 b(to)g(determine)g(disso)r (ciation)g(probabilities.)33 b(It)19 b(is)h(a)e(wide-)2042 415 y(spread)g(b)r(eliev)n(e)g(that)i(classical)d(dynamical)h(metho)r (ds)i(are)d(m)n(uc)n(h)2042 515 y(less)40 b(time-consuming)h(than)g (quan)n(tum)g(ones.)76 b(This)41 b(is)g(cer-)2042 614 y(tainly)g(true)f(if)i(one)e(compares)f(the)j(computational)e(cost)g (of)2042 714 y(one)31 b(tra)5 b(jectory)30 b(to)h(a)g(quan)n(tum)h (calculation.)48 b(The)31 b(quan)n(tum)2042 814 y(calculations,)f(ho)n (w)n(ev)n(er,)g(tak)n(e)g(adv)-5 b(an)n(tage)30 b(of)g(the)i(delo)r (calized)2042 913 y(nature)j(of)h(the)h(w)n(a)n(v)n(e)d(functions.)62 b(A)37 b(b)r(eam)f(of)g(particles)f(ap-)2042 1013 y(proac)n(hing)22 b(the)j(surface)e(is)i(describ)r(ed)f(b)n(y)g(a)g(plane)g(w)n(a)n(v)n (e)e(in)j(the)2042 1112 y(gas)34 b(phase)g(that)i(includes)f(all)g (impact)g(p)r(oin)n(ts.)59 b(And)36 b(a)f(non-)2042 1212 y(rotating)c(molecule)i(is)f(represen)n(ted)g(b)n(y)g(an)h Fo(j)j Fv(=)31 b(0)i(rotational)2042 1312 y(state,)44 b(where)d Fo(j)46 b Fv(is)c(the)f(rotational)f(quan)n(tum)h(n)n(um)n(b) r(er)g(and)2042 1411 y(whic)n(h)h(con)n(tains)f(all)h(orien)n(tations)f (with)h(equal)g(probabilit)n(y)-7 b(.)2042 1511 y(Hence)36 b(the)h(a)n(v)n(eraging)c(o)n(v)n(er)h(initial)j(conditions)f(is)g (done)g(au-)2042 1611 y(tomatically)26 b(in)g(quan)n(tum)h(mec)n (hanics.)36 b(Consequen)n(tly)-7 b(,)26 b(quan-)2042 1710 y(tum)f(dynamical)f(sim)n(ulations)g(do)g(not)h(necessarily)e(ha)n (v)n(e)g(to)i(b)r(e)2042 1810 y(more)k(time-consuming)h(that)g (classical)e(calculations,)i(in)g(par-)2042 1910 y(ticular)f(if)h(one)f (considers)g(the)h(fact)g(that)f(in)h(w)n(a)n(v)n(e-pac)n(k)n(et)d (cal-)2042 2009 y(culations)33 b(the)h(disso)r(ciation)f(probabilit)n (y)g(for)g(a)g(whole)h(range)2042 2109 y(of)k(energies)f(is)i (calculated)f(in)g(one)h(run)f(or)f(that)i(in)g(a)f(time-)2042 2208 y(indep)r(enden)n(t)45 b(coupled-c)n(hannel)d(metho)r(d)j(the)f (stic)n(king)f(and)2042 2308 y(scattering)f(probabilites)g(of)i(all)f (op)r(en)g(c)n(hannels)f(are)h(deter-)2042 2408 y(mined)28 b(sim)n(ultaneously)-7 b(.)2125 2507 y(The)32 b(crucial)f(di\013erence) g(b)r(et)n(w)n(een)h(quan)n(tum)g(and)g(classical)2042 2607 y(dynamics)23 b(is)g(that)h(in)g(the)g(quan)n(tum)f(dynamics)g (the)h(a)n(v)n(eraging)2042 2707 y(is)38 b(done)g(coheren)n(tly)f (while)h(it)g(is)g(done)g(incoheren)n(tly)f(in)i(the)2042 2806 y(classical)30 b(dynamics.)47 b(F)-7 b(or)31 b(hea)n(vier)f (molecules)h(this)g(is)h(appar-)2042 2906 y(en)n(tly)i(not)g(imp)r (ortan)n(t,)i(but)e(for)g(h)n(ydrogen)f(disso)r(ciation)g(this)2042 3005 y(has)27 b(imp)r(ortan)n(t)g(consequences,)g(as)f(will)i(b)r(e)g (sho)n(wn)f(b)r(elo)n(w.)2122 3286 y Fs(I)r(I)r(I.)k(HYDR)n(OGEN)f (DISSOCIA)-7 b(TION)30 b(ON)g(MET)-7 b(AL)2831 3377 y(SURF)d(A)n(CES) 2125 3595 y Fv(After)22 b(in)n(tro)r(ducing)g(the)g(theoretical)f (concepts)h(necessary)e(to)2042 3694 y(p)r(erform)31 b Fq(ab)k(initio)e Fv(dynamics)f(calculations,)g(I)h(will)f(no)n(w)g (dis-)2042 3794 y(cuss)27 b(applications.)36 b(I)28 b(start)f(with)h (the)g(h)n(ydrogen)e(disso)r(ciation)2042 3894 y(on)h(metal)h (surfaces.)2125 3993 y(While)i(the)f(disso)r(ciation)g(of)g(h)n (ydrogen)e(at)j(simple)f(or)f(noble)2042 4093 y(metals)18 b(is)h(usually)f(hindered)h(b)n(y)f(a)g(substan)n(tial)g(energy)g (barrier,)2042 4193 y(transition)23 b(metal)i(surfaces)e(are)g(rather)g (reactiv)n(e,)h(i.e.,)h(already)2042 4292 y(at)30 b(lo)n(w)f(kinetic)h (energies)f(the)i(disso)r(ciativ)n(e)e(adsorption)f(prob-)2042 4392 y(abilit)n(y)33 b(is)g(often)g(larger)f(than)h(10)f(p)r(er)h(cen)n (t.)54 b(This)33 b(reactivit)n(y)2042 4491 y(has)22 b(b)r(een)g (attributed)h(to)f(the)h(lo)r(cal)f(densit)n(y)g(of)h(states)f (\(LDOS\))2042 4591 y(of)k(the)h(partly)e(\014lled)i Fo(d)p Fv(-band)f(at)g(the)h(F)-7 b(ermi)26 b(lev)n(el)g([119,120])d (or)2042 4691 y(close)32 b(to)g(the)h(F)-7 b(ermi)33 b(lev)n(el)f([121,122])e(of)i(the)h(transition)f(met-)2042 4790 y(als.)j(Recen)n(t)24 b(in)n(v)n(estigations)f(ha)n(v)n(e)g(sho)n (wn)h(that)g(the)h(reactivit)n(y)2042 4890 y(cannot)38 b(b)r(e)h(solely)f(understo)r(o)r(d)h(in)g(terms)f(of)h(the)g(LDOS)g (at)2042 4990 y(the)26 b(F)-7 b(ermi)27 b(lev)n(el,)f(but)h(rather)e(b) n(y)h(the)h(h)n(ybridization)e(b)r(et)n(w)n(een)2042 5089 y(molecular)31 b(and)h(metal)g(states)g(whic)n(h)g(in)n(v)n(olv)n (es)f(the)h(whole)g Fo(d)p Fv(-)2042 5189 y(band)27 b([45,123,124].) 2125 5288 y(In)41 b(noble)f(metals)g(the)h Fo(d)p Fv(-band)g(is)f (\014lled,)45 b(whic)n(h)40 b(leads)g(to)2042 5388 y(the)27 b(existence)f(of)g(a)g(signi\014can)n(t)f(barrier)g(to)n(w)n(ards)f (disso)r(ciativ)n(e)1946 5645 y(8)p eop %%Page: 9 9 9 8 bop -359 1579 a @beginspecial 72 @llx 72 @lly 540 @urx 720 @ury 2834 @rwi @setspecial %%BeginDocument: H2Cu_GGA.ps % All the next to write Angstroms /reencsmalldict 12 dict def /ReEncodeSmall { reencsmalldict begin /newcodesandnames exch def /newfontname exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch newfont 3 1 roll put} ifelse } { pop pop } ifelse } forall newfont /FontName newfontname put newcodesandnames aload pop newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat newfontname newfont definefont pop end } def %The Digital Multinational Character Set %(those characters differing from PostScript Language Reference Appendix A) %Some of the DEC-MCS characters are not in the standard fonts /DEC-MCS [ 8#201 /grave 8#202 /acute 8#203 /circumflex 8#204 /dieresis 8#206 /cedilla 8#207 /caron 8#210 /tilde 8#211 /macron 8#212 /breve 8#213 /dotaccent 8#214 /hungarumlaut 8#215 /ogonek 8#216 /dotlessi 8#244 /quotedblleft 8#252 /ordfeminine 8#260 /ring 8#244 /quotedblright 8#270 /emdash 8#272 /ordmasculine 8#300 /Agrave 8#301 /Aacute 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Lslash 8#321 /Ntilde 8#322 /Ograve 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /OE 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex 8#334 /Udieresis 8#335 /Ydieresis 8#337 /germandbls 8#340 /agrave 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute 8#356 /icircumflex 8#357 /idieresis 8#320 /lslash 8#361 /ntilde 8#362 /ograve 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /oe 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex 8#374 /udieresis 8#375 /ydieresis ] def /Courier /Courier-DEC DEC-MCS ReEncodeSmall /Times-Roman /Times-Roman-DEC DEC-MCS ReEncodeSmall % End of Angstrom business /StackW 1 array def /W {%def copy rel moves starting at [ from stack to StackW ] /StackW exch def % read from stack into StackW StackW aload pop % copy back to stack } bind def /R {%def Read from StackR in inverse order StackR length 2 sub -2 0 % loop parameters {dup StackR exch get neg % get x exch StackR exch 1 add get neg} % get y for } bind def /F {%def take color index, one abs move % and relative moves from stack % and fill SCI % set color index moveto % abs move in cm 0.001 0.001 scale % rel moves in 1/1000 cm count -2 2 { pop rlineto} for closepath fill /StackR StackW def % copy StackW to StackR 1000 1000 scale % back to cm } bind def /L {%def Polyline, similar to F SCI moveto 0.001 0.001 scale count -2 2 { pop rlineto } for stroke 1000 1000 scale } bind def /RS {%def restore save } bind def %CAG End of extra definitions /Mathdict 150 dict def Mathdict begin /Mlmarg 1.0 72 mul def /Mrmarg 1.0 72 mul def /Mbmarg 1.0 72 mul def /Mtmarg 1.0 72 mul def /Mwidth 8.5 72 mul def /Mheight 11 72 mul def /Mtransform { } bind def /Mnodistort true def /Mfixwid true def /Mfixdash false def /Mrot 0 def /Mpstart { MathPictureStart } bind def /Mpend { MathPictureEnd } bind def /Mscale { 0 1 0 1 5 -1 roll MathScale } bind def /ISOLatin1Encoding dup where { pop pop } { [ /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /minus /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /asciitilde /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /dotlessi /grave /acute /circumflex /tilde /macron /breve /dotaccent /dieresis /.notdef /ring /cedilla /.notdef /hungarumlaut /ogonek /caron /space /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] def } ifelse /MFontDict 50 dict def /MStrCat { exch dup length 2 index length add string dup 3 1 roll copy length exch dup 4 2 roll exch putinterval } def /MCreateEncoding { 1 index 255 string cvs (-) MStrCat 1 index MStrCat cvn exch (Encoding) MStrCat cvn dup where { exch get } { pop StandardEncoding } ifelse 3 1 roll dup MFontDict exch known not { 1 index findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding 3 index def currentdict end 1 index exch definefont pop MFontDict 1 index null put } if exch pop exch pop } def /ISOLatin1 { (ISOLatin1) MCreateEncoding } def /ISO8859 { (ISOLatin1) MCreateEncoding } def /Mcopyfont { dup maxlength dict exch { 1 index /FID eq { pop pop } { 2 index 3 1 roll put } ifelse } forall } def /Plain /Courier findfont Mcopyfont definefont pop /Bold /Courier-Bold findfont Mcopyfont definefont pop /Italic /Courier-Oblique findfont Mcopyfont definefont pop /MathPictureStart { gsave Mtransform Mlmarg Mbmarg translate Mwidth Mlmarg Mrmarg add sub /Mwidth exch def Mheight Mbmarg Mtmarg add sub /Mheight exch def /Mtmatrix matrix currentmatrix def /Mgmatrix matrix currentmatrix def } bind def /MathPictureEnd { grestore } bind def /MFill { 0 0 moveto Mwidth 0 lineto Mwidth Mheight lineto 0 Mheight lineto fill } bind def /MPlotRegion { 3 index Mwidth mul 2 index Mheight mul translate exch sub Mheight mul /Mheight exch def exch sub Mwidth mul /Mwidth exch def } bind def /MathSubStart { Momatrix Mgmatrix Mtmatrix Mwidth Mheight 7 -2 roll moveto Mtmatrix setmatrix currentpoint Mgmatrix setmatrix 9 -2 roll moveto Mtmatrix setmatrix currentpoint 2 copy translate /Mtmatrix matrix currentmatrix def 3 -1 roll exch sub /Mheight exch def sub /Mwidth exch def } bind def /MathSubEnd { /Mheight exch def /Mwidth exch def /Mtmatrix exch def dup setmatrix /Mgmatrix exch def /Momatrix exch def } bind def /Mdot { moveto 0 0 rlineto stroke } bind def /Mtetra { moveto lineto lineto lineto fill } bind def /Metetra { moveto lineto lineto lineto closepath gsave fill grestore 0 setgray stroke } bind def /Mistroke { flattenpath 0 0 0 { 4 2 roll pop pop } { 4 -1 roll 2 index sub dup mul 4 -1 roll 2 index sub dup mul add sqrt 4 -1 roll add 3 1 roll } { stop } { stop } pathforall pop pop currentpoint stroke moveto currentdash 3 -1 roll add setdash } bind def /Mfstroke { stroke currentdash pop 0 setdash } bind def /Mrotsboxa { gsave dup /Mrot exch def Mrotcheck Mtmatrix dup setmatrix 7 1 roll 4 index 4 index translate rotate 3 index -1 mul 3 index -1 mul translate /Mtmatrix matrix currentmatrix def grestore Msboxa 3 -1 roll /Mtmatrix exch def /Mrot 0 def } bind def /Msboxa { newpath 5 -1 roll Mvboxa pop Mboxout 6 -1 roll 5 -1 roll 4 -1 roll Msboxa1 5 -3 roll Msboxa1 Mboxrot [ 7 -2 roll 2 copy [ 3 1 roll 10 -1 roll 9 -1 roll ] 6 1 roll 5 -2 roll ] } bind def /Msboxa1 { sub 2 div dup 2 index 1 add mul 3 -1 roll -1 add 3 -1 roll mul } bind def /Mvboxa { Mfixwid { Mvboxa1 } { dup Mwidthcal 0 exch { add } forall exch Mvboxa1 4 index 7 -1 roll add 4 -1 roll pop 3 1 roll } ifelse } bind def /Mvboxa1 { gsave newpath [ true 3 -1 roll { Mbbox 5 -1 roll { 0 5 1 roll } { 7 -1 roll exch sub (m) stringwidth pop .3 mul sub 7 1 roll 6 -1 roll 4 -1 roll Mmin 3 -1 roll 5 index add 5 -1 roll 4 -1 roll Mmax 4 -1 roll } ifelse false } forall { stop } if counttomark 1 add 4 roll ] grestore } bind def /Mbbox { 1 dict begin 0 0 moveto /temp (T) def { gsave currentpoint newpath moveto temp 0 3 -1 roll put temp false charpath flattenpath currentpoint pathbbox grestore moveto lineto moveto} forall pathbbox newpath end } bind def /Mmin { 2 copy gt { exch } if pop } bind def /Mmax { 2 copy lt { exch } if pop } bind def /Mrotshowa { dup /Mrot exch def Mrotcheck Mtmatrix dup setmatrix 7 1 roll 4 index 4 index translate rotate 3 index -1 mul 3 index -1 mul translate /Mtmatrix matrix currentmatrix def Mgmatrix setmatrix Mshowa /Mtmatrix exch def /Mrot 0 def } bind def /Mshowa { 4 -2 roll moveto 2 index Mtmatrix setmatrix Mvboxa 7 1 roll Mboxout 6 -1 roll 5 -1 roll 4 -1 roll Mshowa1 4 1 roll Mshowa1 rmoveto currentpoint Mfixwid { Mshowax } { Mshoway } ifelse pop pop pop pop Mgmatrix setmatrix } bind def /Mshowax { 0 1 4 index length -1 add { 2 index 4 index 2 index get 3 index add moveto 4 index exch get Mfixdash { Mfixdashp } if show } for } bind def /Mfixdashp { dup length 1 gt 1 index true exch { 45 eq and } forall and { gsave (--) stringwidth pop (-) stringwidth pop sub 2 div 0 rmoveto dup length 1 sub { (-) show } repeat grestore } if } bind def /Mshoway { 3 index Mwidthcal 5 1 roll 0 1 4 index length -1 add { 2 index 4 index 2 index get 3 index add moveto 4 index exch get [ 6 index aload length 2 add -1 roll { pop Strform stringwidth pop neg exch add 0 rmoveto } exch kshow cleartomark } for pop } bind def /Mwidthcal { [ exch { Mwidthcal1 } forall ] [ exch dup Maxlen -1 add 0 1 3 -1 roll { [ exch 2 index { 1 index Mget exch } forall pop Maxget exch } for pop ] Mreva } bind def /Mreva { [ exch aload length -1 1 {1 roll} for ] } bind def /Mget { 1 index length -1 add 1 index ge { get } { pop pop 0 } ifelse } bind def /Maxlen { [ exch { length } forall Maxget } bind def /Maxget { counttomark -1 add 1 1 3 -1 roll { pop Mmax } for exch pop } bind def /Mwidthcal1 { [ exch { Strform stringwidth pop } forall ] } bind def /Strform { /tem (x) def tem 0 3 -1 roll put tem } bind def /Mshowa1 { 2 copy add 4 1 roll sub mul sub -2 div } bind def /MathScale { Mwidth Mheight Mlp translate scale /yscale exch def /ybias exch def /xscale exch def /xbias exch def /Momatrix xscale yscale matrix scale xbias ybias matrix translate matrix concatmatrix def /Mgmatrix matrix currentmatrix def } bind def /Mlp { 3 copy Mlpfirst { Mnodistort { Mmin dup } if 4 index 2 index 2 index Mlprun 11 index 11 -1 roll 10 -4 roll Mlp1 8 index 9 -5 roll Mlp1 4 -1 roll and { exit } if 3 -1 roll pop pop } loop exch 3 1 roll 7 -3 roll pop pop pop } bind def /Mlpfirst { 3 -1 roll dup length 2 copy -2 add get aload pop pop pop 4 -2 roll -1 add get aload pop pop pop 6 -1 roll 3 -1 roll 5 -1 roll sub div 4 1 roll exch sub div } bind def /Mlprun { 2 copy 4 index 0 get dup 4 1 roll Mlprun1 3 copy 8 -2 roll 9 -1 roll { 3 copy Mlprun1 3 copy 11 -3 roll /gt Mlpminmax 8 3 roll 11 -3 roll /lt Mlpminmax 8 3 roll } forall pop pop pop pop 3 1 roll pop pop aload pop 5 -1 roll aload pop exch 6 -1 roll Mlprun2 8 2 roll 4 -1 roll Mlprun2 6 2 roll 3 -1 roll Mlprun2 4 2 roll exch Mlprun2 6 2 roll } bind def /Mlprun1 { aload pop exch 6 -1 roll 5 -1 roll mul add 4 -2 roll mul 3 -1 roll add } bind def /Mlprun2 { 2 copy add 2 div 3 1 roll exch sub } bind def /Mlpminmax { cvx 2 index 6 index 2 index exec { 7 -3 roll 4 -1 roll } if 1 index 5 index 3 -1 roll exec { 4 1 roll pop 5 -1 roll aload pop pop 4 -1 roll aload pop [ 8 -2 roll pop 5 -2 roll pop 6 -2 roll pop 5 -1 roll ] 4 1 roll pop } { pop pop pop } ifelse } bind def /Mlp1 { 5 index 3 index sub 5 index 2 index mul 1 index le 1 index 0 le or dup not { 1 index 3 index div .99999 mul 8 -1 roll pop 7 1 roll } if 8 -1 roll 2 div 7 -2 roll pop sub 5 index 6 -3 roll pop pop mul sub exch } bind def /intop 0 def /inrht 0 def /inflag 0 def /outflag 0 def /xadrht 0 def /xadlft 0 def /yadtop 0 def /yadbot 0 def /Minner { outflag 1 eq { /outflag 0 def /intop 0 def /inrht 0 def } if 5 index gsave Mtmatrix setmatrix Mvboxa pop grestore 3 -1 roll pop dup intop gt { /intop exch def } { pop } ifelse dup inrht gt { /inrht exch def } { pop } ifelse pop /inflag 1 def } bind def /Mouter { /xadrht 0 def /xadlft 0 def /yadtop 0 def /yadbot 0 def inflag 1 eq { dup 0 lt { dup intop mul neg /yadtop exch def } if dup 0 gt { dup intop mul /yadbot exch def } if pop dup 0 lt { dup inrht mul neg /xadrht exch def } if dup 0 gt { dup inrht mul /xadlft exch def } if pop /outflag 1 def } { pop pop} ifelse /inflag 0 def /inrht 0 def /intop 0 def } bind def /Mboxout { outflag 1 eq { 4 -1 roll xadlft leadjust add sub 4 1 roll 3 -1 roll yadbot leadjust add sub 3 1 roll exch xadrht leadjust add add exch yadtop leadjust add add /outflag 0 def /xadlft 0 def /yadbot 0 def /xadrht 0 def /yadtop 0 def } if } bind def /leadjust { (m) stringwidth pop .5 mul } bind def /Mrotcheck { dup 90 eq { yadbot /yadbot xadrht def /xadrht yadtop def /yadtop xadlft def /xadlft exch def } if dup cos 1 index sin Checkaux dup cos 1 index sin neg exch Checkaux 3 1 roll pop pop } bind def /Checkaux { 4 index exch 4 index mul 3 1 roll mul add 4 1 roll } bind def /Mboxrot { Mrot 90 eq { brotaux 4 2 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GStateMaintainerDict GStateMaintainerDict begin userdict begin userdict begin /AltsysDict 245 dict def end AltsysDict begin /bdf{bind def}bind def /xdf{exch def}bdf /defed{where{pop true}{false}ifelse}bdf /ndf{1 index where{pop pop pop}{dup xcheck{bind}if def}ifelse}bdf /d{setdash}bdf /h{closepath}bdf /H{}bdf /J{setlinecap}bdf /j{setlinejoin}bdf /M{setmiterlimit}bdf /n{newpath}bdf /N{newpath}bdf /q{gsave}bdf /Q{grestore}bdf /w{setlinewidth}bdf /sepdef{ dup where not { AltsysSepDict } if 3 1 roll exch put }bdf /st{settransfer}bdf /colorimage defed /_rci xdf /_NXLevel2 defed { _NXLevel2 not { /colorimage where { userdict eq { /_rci false def } if } if } if } if /md defed{ md type /dicttype eq { /colorimage where { md eq { /_rci false def }if }if /settransfer where { md eq { /st systemdict /settransfer get def }if }if }if }if /setstrokeadjust defed { true setstrokeadjust /C{curveto}bdf /L{lineto}bdf /m{moveto}bdf } { /dr{transform .25 sub round .25 add exch .25 sub round .25 add exch itransform}bdf /C{dr curveto}bdf /L{dr lineto}bdf /m{dr moveto}bdf /setstrokeadjust{pop}bdf }ifelse /rectstroke defed /xt xdf xt {/yt save def} if /privrectpath { 4 -2 roll m dtransform round exch round exch idtransform 2 copy 0 lt exch 0 lt xor {dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto} {exch dup 0 rlineto exch 0 exch rlineto neg 0 rlineto} ifelse closepath }bdf /rectclip{newpath privrectpath clip newpath}def /rectfill{gsave newpath privrectpath fill grestore}def /rectstroke{gsave newpath privrectpath stroke grestore}def xt {yt restore} if /_fonthacksave false def /currentpacking defed { /_bfh {/_fonthacksave currentpacking def false setpacking} bdf /_efh {_fonthacksave setpacking} bdf } { /_bfh {} bdf /_efh {} bdf }ifelse /packedarray{array astore readonly}ndf /` { false setoverprint /-save0- save def 5 index concat pop storerect left bottom width height rectclip pop userdict begin /showpage {} def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath } bdf /currentpacking defed{true setpacking}if /min{2 copy gt{exch}if pop}bdf /max{2 copy lt{exch}if pop}bdf /xformfont { currentfont exch makefont setfont } bdf /fhnumcolors 1 statusdict begin /processcolors defed { pop processcolors } { /deviceinfo defed { deviceinfo /Colors known { pop deviceinfo /Colors get } if } if } ifelse end def /printerRes gsave matrix defaultmatrix setmatrix 72 72 dtransform abs exch abs max grestore def /graycalcs [ {Angle Frequency} {GrayAngle GrayFrequency} {0 Width Height matrix defaultmatrix idtransform dup mul exch dup mul add sqrt 72 exch div} {0 GrayWidth GrayHeight matrix defaultmatrix idtransform dup mul exch dup mul add sqrt 72 exch div} ] def /calcgraysteps { forcemaxsteps { maxsteps } { /currenthalftone defed {currenthalftone /dicttype eq}{false}ifelse { currenthalftone begin HalftoneType 4 le {graycalcs HalftoneType 1 sub get exec} { HalftoneType 5 eq { Default begin {graycalcs HalftoneType 1 sub get exec} end } {0 60} ifelse } ifelse end } { currentscreen pop exch } ifelse printerRes 300 max exch div exch 2 copy sin mul round dup mul 3 1 roll cos mul round dup mul add 1 add dup maxsteps gt {pop maxsteps} if } ifelse } bdf /nextrelease defed { /languagelevel defed not { /framebuffer defed { 0 40 string framebuffer 9 1 roll 8 {pop} repeat dup 516 eq exch 520 eq or { /fhnumcolors 3 def /currentscreen {60 0 {pop pop 1}}bdf /calcgraysteps {maxsteps} bdf }if }if }if }if fhnumcolors 1 ne { /calcgraysteps {maxsteps} bdf } if /currentpagedevice defed { currentpagedevice /PreRenderingEnhance known { currentpagedevice /PreRenderingEnhance get { /calcgraysteps { forcemaxsteps {maxsteps} {256 maxsteps min} ifelse } def } if } if } if /gradfrequency 144 def printerRes 1000 lt { /gradfrequency 72 def } if /adjnumsteps { dup dtransform abs exch abs max printerRes div gradfrequency mul round 5 max min }bdf /goodsep { spots exch get 4 get dup sepname eq exch (_vc_Registration) eq or }bdf /BeginGradation defed {/bb{BeginGradation}bdf} {/bb{}bdf} ifelse /EndGradation defed {/eb{EndGradation}bdf} {/eb{}bdf} ifelse /bottom -0 def /delta -0 def /frac -0 def /height -0 def /left -0 def /numsteps1 -0 def /radius -0 def /right -0 def /top -0 def /width -0 def /xt -0 def /yt -0 def /df currentflat def /tempstr 1 string def /clipflatness currentflat def /inverted? 0 currenttransfer exec .5 ge def /tc1 [0 0 0 1] def /tc2 [0 0 0 1] def /storerect{/top xdf /right xdf /bottom xdf /left xdf /width right left sub def /height top bottom sub def}bdf /concatprocs{ systemdict /packedarray known {dup type /packedarraytype eq 2 index type /packedarraytype eq or}{false}ifelse { /proc2 exch cvlit def /proc1 exch cvlit def proc1 aload pop proc2 aload pop proc1 length proc2 length add packedarray cvx } { /proc2 exch cvlit def /proc1 exch cvlit def /newproc proc1 length proc2 length add array def newproc 0 proc1 putinterval newproc proc1 length proc2 putinterval newproc cvx }ifelse }bdf /i{dup 0 eq {pop df dup} {dup} ifelse /clipflatness xdf setflat }bdf version cvr 38.0 le {/setrgbcolor{ currenttransfer exec 3 1 roll currenttransfer exec 3 1 roll currenttransfer exec 3 1 roll setrgbcolor}bdf}if /vms {/vmsv save def} bdf /vmr {vmsv restore} bdf /vmrs{vmsv restore /vmsv save def}bdf /eomode{ {/filler /eofill load def /clipper /eoclip load def} {/filler /fill load def /clipper /clip load def} ifelse }bdf /normtaper{}bdf /logtaper{9 mul 1 add log}bdf /CD{ /NF exch def { exch dup /FID ne 1 index/UniqueID ne and {exch NF 3 1 roll put} {pop pop} ifelse }forall NF }bdf /MN{ 1 index length /Len exch def dup length Len add string dup Len 4 -1 roll putinterval dup 0 4 -1 roll putinterval }bdf /RC{4 -1 roll /ourvec xdf 256 string cvs(|______)anchorsearch {1 index MN cvn/NewN exch def cvn findfont dup maxlength dict CD dup/FontName NewN put dup /Encoding ourvec put NewN exch definefont pop}{pop}ifelse}bdf /RF{ dup FontDirectory exch known {pop 3 -1 roll pop} {RC} ifelse }bdf /FF{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known {exch pop findfont 3 -1 roll pop} {pop dup findfont dup maxlength dict CD dup dup /Encoding exch /Encoding get 256 array copy 7 -1 roll {3 -1 roll dup 4 -2 roll put}forall put definefont} ifelse}bdf /RFJ{ dup FontDirectory exch known {pop 3 -1 roll pop FontDirectory /Ryumin-Light-83pv-RKSJ-H known {pop pop /Ryumin-Light-83pv-RKSJ-H dup}if } {RC} ifelse }bdf /FFJ{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known {exch pop findfont 3 -1 roll pop} {pop dup FontDirectory exch known not {FontDirectory /Ryumin-Light-83pv-RKSJ-H known {pop /Ryumin-Light-83pv-RKSJ-H}if }if dup findfont dup maxlength dict CD dup dup /Encoding exch /Encoding get 256 array copy 7 -1 roll {3 -1 roll dup 4 -2 roll put}forall put definefont} ifelse}bdf /fps{ currentflat exch dup 0 le{pop 1}if { dup setflat 3 index stopped {1.3 mul dup 3 index gt{pop setflat pop pop stop}if} {exit} ifelse }loop pop setflat pop pop }bdf /fp{100 currentflat fps}bdf /clipper{clip}bdf /W{/clipper load 100 clipflatness dup setflat fps}bdf userdict begin /BDFontDict 29 dict def end BDFontDict begin /bu{}def /bn{}def /setTxMode{av 70 ge{pop}if pop}def /gm{m}def /show{pop}def /gr{pop}def /fnt{pop pop pop}def /fs{pop}def /fz{pop}def /lin{pop pop}def /:M {pop pop} def /sf {pop} def /S {pop} def /@b {pop pop pop pop pop pop pop pop} def /_bdsave /save load def /_bdrestore /restore load def /save { dup /fontsave eq {null} {_bdsave} ifelse } def /restore { dup null eq { pop } { _bdrestore } ifelse } def /fontsave null def end /MacVec 256 array def MacVec 0 /Helvetica findfont /Encoding get 0 128 getinterval putinterval MacVec 127 /DEL put MacVec 16#27 /quotesingle put MacVec 16#60 /grave put /NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI /DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US MacVec 0 32 getinterval astore pop /Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute /agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave /ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute /ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis /dagger/degree/cent/sterling/section/bullet/paragraph/germandbls /registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash /infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation /product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash /questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft /guillemotright/ellipsis/nbspace/Agrave/Atilde/Otilde/OE/oe /endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge /ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl /daggerdbl/periodcentered/quotesinglbase/quotedblbase /perthousand/Acircumflex/Ecircumflex/Aacute /Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex /apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde /macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron MacVec 128 128 getinterval astore pop %. Error handling code - don't do this if printing to hi res imagesetter printerRes 1000 lt { userdict /agd_noerryet true put errordict /handleerror { $error begin /prt{dup type /stringtype ne{=string cvs}if show}def newerror { /newerror false store systemdict begin grestoreall initgraphics end userdict /agd_noerryet get { { userdict /agd_noerryet false put 30 90 moveto 30 122 lineto 570 122 lineto 570 90 lineto closepath 1 setgray fill 0 setgray 30 110 moveto /Helvetica findfont 14 scalefont setfont (POSTSCRIPT ERROR: ) prt errorname prt ( ) prt (OFFENDING COMMAND: ) prt /command load prt 30 95 moveto (VMSTATUS max: ) prt vmstatus dup prt ( avail: ) prt exch sub prt ( level: ) prt prt } stopped pop /md where { pop md type /dicttype eq { (ioerror) errorname ne{systemdict /showpage get exec}if } if } if } if }if end } put }if %. /overlapmark{ -4 xs div 0 rlineto 4 xs div 2 div -7 ys div 2 div rmoveto 0 7 ys div rlineto 4 xs div 0 rlineto 0 -7 ys div rlineto -4 xs div 0 rlineto .2 xs div setlinewidth 0 setseparationgray stroke }bdf /amsub{gsave setlinewidth 4 2 roll rmoveto rlineto stroke grestore}bdf /am{ newpath moveto 0 setseparationgray gsave currentpoint 5 xs div 0 360 arc .3 xs div setlinewidth stroke grestore gsave currentpoint 3 xs div 0 360 arc fill grestore 3 xs div 0 5 xs div 0 .3 ys div amsub -3 xs div 0 -5 xs div 0 .3 ys div amsub 0 3 ys div 0 5 ys div .3 xs div amsub 0 -3 ys div 0 -5 ys div .3 xs div amsub 1 setseparationgray -3 xs div 0 6 xs div 0 .3 ys div amsub 0 -3 ys div 0 6 ys div .3 xs div amsub }bdf /fhcbox { xt yt moveto 13.5 xs div 0 rlineto 0 13.5 ys div rlineto -13.5 xs div 0 rlineto 0 -13.5 ys div rlineto gsave fill grestore 0 setseparationgray stroke dup length 0 ne { 0 setseparationgray dup stringwidth pop neg 13.5 xs div add 2 div xt add yt 5 ys div add moveto show } {pop} ifelse xs div xt add /xt xdf }bdf /fhcb { 0.25 xs div 0.25 ys div add 2 div setlinewidth 2 copy 6.75 ys div sub /yt xdf 25.5 xs div sub /xt xdf 0 1 10 { 10 div setseparationgray -13.5 () fhcbox }for 6.75 ys div sub /yt xdf 12 xs div add /xt xdf /Helvetica findfont 5 ys div scalefont setfont 1 0 0 0 setcmykcolor 13.5 (C) fhcbox 0 1 0 0 setcmykcolor 13.5 (M) fhcbox 0 0 1 0 setcmykcolor 13.5 (Y) fhcbox 1 1 0 0 setcmykcolor 13.5 (CM) fhcbox 0 1 1 0 setcmykcolor 13.5 (MY) fhcbox 1 0 1 0 setcmykcolor 13.5 (CY) fhcbox 1 1 1 0 setcmykcolor 13.5 (CMY) fhcbox 0 0 0 1 setcmykcolor 13.5 (K) fhcbox }def /mybleed{bleed 0 eq{wdist 10 sub xs div}{bleed}ifelse}bdf /cm{mybleed neg 0 rmoveto -9 xs div 0 rlineto 9 xs div mybleed add mybleed neg rmoveto 0 -9 ys div rlineto .3 xs div setlinewidth 0 setseparationgray stroke}bdf /np {720 254 div}bdf /jpbleed{bleed 0 eq{np 3 mul}{bleed}ifelse}bdf /cmj{jpbleed neg 0 rmoveto -10 np mul 0 rlineto 10 np mul 0 rmoveto 0 10 np mul jpbleed add neg rlineto jpbleed 0 rmoveto 0 10 np mul rlineto 10 np mul jpbleed add neg 0 rlineto np 10 div setlinewidth 0 setseparationgray stroke}bdf /amsubj{gsave setlinewidth 4 2 roll moveto lineto stroke grestore}bdf /amj{ newpath gsave translate rotate 0 setseparationgray gsave 0 0 5 2 div np mul 0 360 arc np 10 div setlinewidth stroke grestore 0 0 10 np mul 0 np 10 div amsubj 0 0 -10 np mul 0 np 10 div amsubj 0 0 0 6 np mul np 10 div amsubj 0 0 0 -4 np mul np 10 div amsubj grestore }bdf /fhcbj { 0.25 xs div 0.25 ys div add 2 div setlinewidth 2 copy 6.75 ys div sub /yt xdf 50.5 xs div sub /xt xdf 0 1 10 { 10 div setseparationgray -13.5 () fhcbox }for 6.75 ys div sub /yt xdf 37 xs div add /xt xdf /Helvetica findfont 5 ys div scalefont setfont 1 0 0 0 setcmykcolor 13.5 (C) fhcbox 0 1 0 0 setcmykcolor 13.5 (M) fhcbox 0 0 1 0 setcmykcolor 13.5 (Y) fhcbox 1 1 0 0 setcmykcolor 13.5 (CM) fhcbox 0 1 1 0 setcmykcolor 13.5 (MY) fhcbox 1 0 1 0 setcmykcolor 13.5 (CY) fhcbox 1 1 1 0 setcmykcolor 13.5 (CMY) fhcbox 0 0 0 1 setcmykcolor 13.5 (K) fhcbox }def end %. AltsysDict AltsysDict begin _bfh _efh 0 dict dup begin end /f0 /Symbol FF def _bfh _efh MacVec 256 array copy /f1 /|______AvantGarde-Book dup RF findfont def _bfh _efh MacVec 256 array copy /f2 /|______Courier dup RF findfont def _bfh _efh MacVec 256 array copy /f3 /|______AvantGarde-BookOblique dup RF findfont def _bfh _efh MacVec 256 array copy /f4 /|______Times-Roman dup RF findfont def end %. AltsysDict end %. userdict end %. GStateMaintainerDict initializepage (stephen; page: 1 of 1)setjob 0 5 :T gS 0 -5 538 781 rC 0 0 :M 30000 30000 :M f0_12 sf (a)S -1 -1 -31999 -31999 1 1 -32000 -32000 @b -32000 -32000 :M 30000 30000 :M f3_12 sf (a)S -1 -1 -31999 -31999 1 1 -32000 -32000 @b -32000 -32000 :M 30000 30000 :M f2_12 sf (a)S -1 -1 -31999 -31999 1 1 -32000 -32000 @b -32000 -32000 :M 30000 30000 :M f4_12 sf (a)S -1 -1 -31999 -31999 1 1 -32000 -32000 @b -32000 -32000 :M 0 781 translate 1 -1 scale -29 -31 translate GStateMaintainerDict begin userdict begin %ALDPageBoundingBox: 1692 1602 2287.2756 2443.8898 AltsysDict /SeparationSave save put AltsysDict begin /onlyk4{false}ndf /ccmyk{dup 5 -1 roll sub 0 max exch}ndf /cmyk2gray{ 4 -1 roll 0.3 mul 4 -1 roll 0.59 mul 4 -1 roll 0.11 mul add add add 1 min neg 1 add }bdf /setcmykcolor{1 exch sub ccmyk ccmyk ccmyk pop setrgbcolor}ndf /maxcolor { max max max } ndf /maxspot { pop } ndf /setcmykcoloroverprint{4{dup -1 eq{pop 0}if 4 1 roll}repeat setcmykcolor}ndf /findcmykcustomcolor{5 packedarray}ndf /setcustomcolor{exch aload pop pop 4{4 index mul 4 1 roll}repeat setcmykcolor pop}ndf /setseparationgray{setgray}ndf /setoverprint{pop}ndf /currentoverprint false ndf /cmykbufs2gray{ 0 1 2 index length 1 sub { 4 index 1 index get 0.3 mul 4 index 2 index get 0.59 mul 4 index 3 index get 0.11 mul 4 index 4 index get add add add cvi 255 min 255 exch sub 2 index 3 1 roll put }for 4 1 roll pop pop pop }bdf /colorimage{ pop pop [ 5 -1 roll/exec cvx 6 -1 roll/exec cvx 7 -1 roll/exec cvx 8 -1 roll/exec cvx /cmykbufs2gray cvx ]cvx image } %. version 47.1 on Linotronic of Postscript defines colorimage incorrectly (rgb model only) version cvr 47.1 le statusdict /product get (Lino) anchorsearch{pop pop true}{pop false}ifelse and{userdict begin bdf end}{ndf}ifelse fhnumcolors 1 ne {/yt save def} if /customcolorimage{ aload pop (_vc_Registration) eq { pop pop pop pop separationimage } { /ik xdf /iy xdf /im xdf /ic xdf ic im iy ik cmyk2gray /xt xdf currenttransfer {dup 1.0 exch sub xt mul add}concatprocs st image } ifelse }ndf fhnumcolors 1 ne {yt restore} if fhnumcolors 3 ne {/yt save def} if /customcolorimage{ aload pop (_vc_Registration) eq { pop pop pop pop separationimage } { /ik xdf /iy xdf /im xdf /ic xdf 1.0 dup ic ik add min sub 1.0 dup im ik add min sub 1.0 dup iy ik add min sub /ic xdf /iy xdf /im xdf currentcolortransfer 4 1 roll {dup 1.0 exch sub ic mul add}concatprocs 4 1 roll {dup 1.0 exch sub iy mul add}concatprocs 4 1 roll {dup 1.0 exch sub im mul add}concatprocs 4 1 roll setcolortransfer {/dummy xdf dummy}concatprocs{dummy}{dummy}true 3 colorimage } ifelse }ndf fhnumcolors 3 ne {yt restore} if fhnumcolors 4 ne {/yt save def} if /customcolorimage{ aload pop (_vc_Registration) eq { pop pop pop pop separationimage } { /ik xdf /iy xdf /im xdf /ic xdf currentcolortransfer {1.0 exch sub ik mul ik sub 1 add}concatprocs 4 1 roll {1.0 exch sub iy mul iy sub 1 add}concatprocs 4 1 roll {1.0 exch sub im mul im sub 1 add}concatprocs 4 1 roll {1.0 exch sub ic mul ic sub 1 add}concatprocs 4 1 roll setcolortransfer {/dummy xdf dummy}concatprocs{dummy}{dummy}{dummy} true 4 colorimage } ifelse }ndf fhnumcolors 4 ne {yt restore} if /separationimage{image}ndf /newcmykcustomcolor{6 packedarray}ndf /inkoverprint false ndf /setinkoverprint{pop}ndf /setspotcolor { spots exch get dup 4 get (_vc_Registration) eq {pop 1 exch sub setseparationgray} {0 5 getinterval exch setcustomcolor} ifelse }ndf /currentcolortransfer{currenttransfer dup dup dup}ndf /setcolortransfer{st pop pop pop}ndf /fas{}ndf /sas{}ndf /fhsetspreadsize{pop}ndf /filler{fill}bdf /F{gsave {filler}fp grestore}bdf /f{closepath F}bdf /S{gsave {stroke}fp grestore}bdf /s{closepath S}bdf /bc4 [0 0 0 0] def /_lfp4 { /iosv inkoverprint def /cosv currentoverprint def /yt xdf /xt xdf /ang xdf storerect /taperfcn xdf /k2 xdf /y2 xdf /m2 xdf /c2 xdf /k1 xdf /y1 xdf /m1 xdf /c1 xdf c1 c2 sub abs m1 m2 sub abs y1 y2 sub abs k1 k2 sub abs maxcolor calcgraysteps mul abs round height abs adjnumsteps dup 2 lt {pop 1} if 1 sub /numsteps1 xdf currentflat mark currentflat clipflatness /delta top bottom sub numsteps1 1 add div def /right right left sub def /botsv top delta sub def { { W xt yt translate ang rotate xt neg yt neg translate dup setflat /bottom botsv def 0 1 numsteps1 { numsteps1 dup 0 eq {pop 0.5 } { div } ifelse taperfcn /frac xdf bc4 0 c2 c1 sub frac mul c1 add put bc4 1 m2 m1 sub frac mul m1 add put bc4 2 y2 y1 sub frac mul y1 add put bc4 3 k2 k1 sub frac mul k1 add put bc4 vc 1 index setflat { mark {newpath left bottom right delta rectfill}stopped {cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} {cleartomark exit}ifelse }loop /bottom bottom delta sub def }for } gsave stopped grestore {exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} {exit}ifelse }loop cleartomark setflat iosv setinkoverprint cosv setoverprint }bdf /bcs [0 0] def /_lfs4 { /iosv inkoverprint def /cosv currentoverprint def /yt xdf /xt xdf /ang xdf storerect /taperfcn xdf /tint2 xdf /tint1 xdf bcs exch 1 exch put tint1 tint2 sub abs bcs 1 get maxspot calcgraysteps mul abs round height abs adjnumsteps dup 2 lt {pop 2} if 1 sub /numsteps1 xdf currentflat mark currentflat clipflatness /delta top bottom sub numsteps1 1 add div def /right right left sub def /botsv top delta sub def { { W xt yt translate ang rotate xt neg yt neg translate dup setflat /bottom botsv def 0 1 numsteps1 { numsteps1 div taperfcn /frac xdf bcs 0 1.0 tint2 tint1 sub frac mul tint1 add sub put bcs vc 1 index setflat { mark {newpath left bottom right delta rectfill}stopped {cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} {cleartomark exit}ifelse }loop /bottom bottom delta sub def }for } gsave stopped grestore {exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} {exit}ifelse }loop cleartomark setflat iosv setinkoverprint cosv setoverprint }bdf /_rfs4 { /iosv inkoverprint def /cosv currentoverprint def /tint2 xdf /tint1 xdf bcs exch 1 exch put /radius xdf /yt xdf /xt xdf tint1 tint2 sub abs bcs 1 get maxspot calcgraysteps mul abs round radius abs adjnumsteps dup 2 lt {pop 2} if 1 sub /numsteps1 xdf radius numsteps1 div 2 div /halfstep xdf currentflat mark currentflat clipflatness { { dup setflat W 0 1 numsteps1 { dup /radindex xdf numsteps1 div /frac xdf bcs 0 tint2 tint1 sub frac mul tint1 add put bcs vc 1 index setflat { newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 { arc radindex numsteps1 ne { xt yt radindex 1 add numsteps1 div 1 exch sub radius mul halfstep add dup xt add yt moveto 360 0 arcn } if fill }stopped {cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} {cleartomark exit}ifelse }loop }for } gsave stopped grestore {exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} {exit}ifelse }loop cleartomark setflat iosv setinkoverprint cosv setoverprint }bdf /_rfp4 { /iosv inkoverprint def /cosv currentoverprint def /k2 xdf /y2 xdf /m2 xdf /c2 xdf /k1 xdf /y1 xdf /m1 xdf /c1 xdf /radius xdf /yt xdf /xt xdf c1 c2 sub abs m1 m2 sub abs y1 y2 sub abs k1 k2 sub abs maxcolor calcgraysteps mul abs round radius abs adjnumsteps dup 2 lt {pop 1} if 1 sub /numsteps1 xdf radius numsteps1 dup 0 eq {pop} {div} ifelse 2 div /halfstep xdf currentflat mark currentflat clipflatness { { dup setflat W 0 1 numsteps1 { dup /radindex xdf numsteps1 dup 0 eq {pop 0.5 } { div } ifelse /frac xdf bc4 0 c2 c1 sub frac mul c1 add put bc4 1 m2 m1 sub frac mul m1 add put bc4 2 y2 y1 sub frac mul y1 add put bc4 3 k2 k1 sub frac mul k1 add put bc4 vc 1 index setflat { newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 { arc radindex numsteps1 ne { xt yt radindex 1 add numsteps1 dup 0 eq {pop} {div} ifelse 1 exch sub radius mul halfstep add dup xt add yt moveto 360 0 arcn } if fill }stopped {cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} {cleartomark exit}ifelse }loop }for } gsave stopped grestore {exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} {exit}ifelse }loop cleartomark setflat iosv setinkoverprint cosv setoverprint }bdf /lfp4{_lfp4}ndf /lfs4{_lfs4}ndf /rfs4{_rfs4}ndf /rfp4{_rfp4}ndf /cvc [0 0 0 1] def /vc{ AltsysDict /cvc 2 index put aload length 4 eq {setcmykcolor} {setspotcolor} ifelse }bdf /origmtx matrix currentmatrix def /ImMatrix matrix currentmatrix def 0 setseparationgray /imgr {1692 1602 2287.2756 2443.8898 } def /bleed 0 def /clpr {1692 1602 2287 2443.8898 } def /xs 1 def /ys 1 def /botx 0 def /overlap 18 def /wdist 18 def 0 2 mul fhsetspreadsize 0 0 ne {/df 0 def /clipflatness 0 def} if /maxsteps 256 def /forcemaxsteps false def {} currenttransfer concatprocs st -1692 -1602 translate %. translate for this tile 0 xs div 0.0551 ys div translate %. center on paper /currentpacking defed{false setpacking}if /spots[ 1 0 0 0 (Process Cyan) false newcmykcustomcolor 0 1 0 0 (Process Magenta) false newcmykcustomcolor 0 0 1 0 (Process Yellow) false newcmykcustomcolor 0 0 0 1 (Process Black) false newcmykcustomcolor ]def /textopf false def /curtextmtx{}def /otw .25 def /msf{dup/curtextmtx xdf makefont setfont}bdf /makesetfont/msf load def /curtextheight{.707104 .707104 curtextmtx dtransform dup mul exch dup mul add sqrt}bdf /ta2{ tempstr 2 index gsave exec grestore cwidth cheight rmoveto 4 index eq{5 index 5 index rmoveto}if 2 index 2 index rmoveto }bdf /ta{exch systemdict/cshow known {{/cheight xdf/cwidth xdf tempstr 0 2 index put ta2}exch cshow} {{tempstr 0 2 index put tempstr stringwidth/cheight xdf/cwidth xdf ta2}forall} ifelse 6{pop}repeat}bdf /sts{/textopf currentoverprint def vc setoverprint /ts{awidthshow}def exec textopf setoverprint}bdf /stol{/xt currentlinewidth def setlinewidth vc newpath /ts{{false charpath stroke}ta}def exec xt setlinewidth}bdf /strk{/textopf currentoverprint def vc setoverprint /ts{{false charpath stroke}ta}def exec textopf setoverprint }bdf clpr storerect left bottom width height rectclip n [] 0 d 3.863708 M 1 w 0 j 0 J false 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2172.3803 2161.3507 L 2179.1303 2163.3507 L 2185.8803 2165.3507 L 2192.6303 2167.1007 L 2199.3803 2168.6007 L 2206.3803 2170.1007 L 2213.1303 2172.1007 L 2214.8803 2172.8507 L [8 4 ] 0 d S [] 0 d n 2051.2389 1921 m 1983 1921 L 1983 1907 L 2051.2389 1907 L 2051.2389 1921 L n q { f1 [14 0 0 14 0 0] makesetfont 1983 1909.800171 m 0 0 32 0 0 (Quantum) ts } true [0 0 0 1]sts Q 2224.6938 1679.9351 m 2154.1996 1679.9351 L 2154.1996 1661.9351 L 2224.6938 1661.9351 L 2224.6938 1679.9351 L n q Q 1905.3803 1892.6007 m 1905.0126 1899.7154 1905.1801 1903.7903 1906.1303 1910.8507 C 1907.6327 1922.0143 1912.6946 1933.4558 1914.1303 1938.6007 C 1929.1996 1992.6007 1928.6601 2024.4334 1964.3803 2062.3507 C 1981.1884 2080.1927 1993.441 2087.7771 2014.6303 2100.1007 C 2033.3042 2110.9614 2045.5525 2113.72 2065.1303 2122.8507 C 2084.8517 2132.0485 2095.4595 2138.3442 2115.3803 2147.1007 C 2153.5233 2163.8671 2215.8803 2183.3507 2215.8803 2183.3507 C 0.5 w false setoverprint [8 4 ] 0 d S [] 0 d n 1813.6303 1892.6007 m 1813.6303 2227.6007 L 2215.8803 2227.6007 L 2215.8803 1892.6007 L 1813.6303 1892.6007 L s n 1813.6303 1892.6007 m 1813.6303 1895.1007 L S n 1863.8803 1892.6007 m 1863.8803 1895.1007 L S n 1914.1303 1892.6007 m 1914.1303 1895.1007 L S n 1964.3803 1892.6007 m 1964.3803 1895.1007 L S n 2014.8803 1892.6007 m 2014.8803 1895.1007 L S n 2065.1303 1892.6007 m 2065.1303 1895.1007 L S n 2115.3803 1892.6007 m 2115.3803 1895.1007 L S n 2165.6303 1892.6007 m 2165.6303 1895.1007 L S n 2215.8803 1892.6007 m 2215.8803 1895.1007 L S n 1813.6303 2227.6007 m 1813.6303 2225.1007 L S n 1863.8803 2227.6007 m 1863.8803 2225.1007 L S n 1914.1303 2227.6007 m 1914.1303 2225.1007 L S n 1964.3803 2227.6007 m 1964.3803 2225.1007 L S n 2014.8803 2227.6007 m 2014.8803 2225.1007 L S n 2065.1303 2227.6007 m 2065.1303 2225.1007 L S n 2115.3803 2227.6007 m 2115.3803 2225.1007 L S n 2165.6303 2227.6007 m 2165.6303 2225.1007 L S n 2215.8803 2227.6007 m 2215.8803 2225.1007 L S n 1813.6303 1892.6007 m 1813.6303 1897.6007 L S n 1914.1303 1892.6007 m 1914.1303 1897.6007 L S n 2014.8803 1892.6007 m 2014.8803 1897.6007 L S n 2115.3803 1892.6007 m 2115.3803 1897.6007 L S n 2215.8803 1892.6007 m 2215.8803 1897.6007 L S n 1813.6303 2227.6007 m 1813.6303 2222.6007 L S n 1914.1303 2227.6007 m 1914.1303 2222.6007 L S n 2014.8803 2227.6007 m 2014.8803 2222.6007 L S n 2115.3803 2227.6007 m 2115.3803 2222.6007 L S n 2215.8803 2227.6007 m 2215.8803 2222.6007 L S n 1813.6303 1892.6007 m 1816.1303 1892.6007 L S n 1813.6303 1951.8507 m 1816.1303 1951.8507 L S n 1813.6303 1986.6007 m 1816.1303 1986.6007 L S n 1813.6303 2011.3507 m 1816.1303 2011.3507 L S n 1813.6303 2030.3507 m 1816.1303 2030.3507 L S n 1813.6303 2046.1007 m 1816.1303 2046.1007 L S n 1813.6303 2059.3507 m 1816.1303 2059.3507 L S n 1813.6303 2070.6007 m 1816.1303 2070.6007 L S n 1813.6303 2080.8507 m 1816.1303 2080.8507 L S n 1813.6303 2089.8507 m 1816.1303 2089.8507 L S n 1813.6303 2149.1007 m 1816.1303 2149.1007 L S n 1813.6303 2183.8507 m 1816.1303 2183.8507 L S n 1813.6303 2208.6007 m 1816.1303 2208.6007 L S n 1813.6303 2227.6007 m 1816.1303 2227.6007 L S n 2215.8803 1892.6007 m 2213.3803 1892.6007 L S n 2215.8803 1951.8507 m 2213.3803 1951.8507 L S n 2215.8803 1986.6007 m 2213.3803 1986.6007 L S n 2215.8803 2011.3507 m 2213.3803 2011.3507 L S n 2215.8803 2030.3507 m 2213.3803 2030.3507 L S n 2215.8803 2046.1007 m 2213.3803 2046.1007 L S n 2215.8803 2059.3507 m 2213.3803 2059.3507 L S n 2215.8803 2070.6007 m 2213.3803 2070.6007 L S n 2215.8803 2080.8507 m 2213.3803 2080.8507 L S n 2215.8803 2089.8507 m 2213.3803 2089.8507 L S n 2215.8803 2149.1007 m 2213.3803 2149.1007 L S n 2215.8803 2183.8507 m 2213.3803 2183.8507 L S n 2215.8803 2208.6007 m 2213.3803 2208.6007 L S n 2215.8803 2227.6007 m 2213.3803 2227.6007 L S n 1813.6303 1892.6007 m 1818.6303 1892.6007 L S n 1813.6303 2089.8507 m 1818.6303 2089.8507 L S n 2215.8803 1892.6007 m 2210.8803 1892.6007 L S n 2215.8803 2089.8507 m 2210.8803 2089.8507 L S n 1858.3803 1892.6007 m 1858.3803 1892.6007 1860.3392 1919.6725 1863.8803 1936.6007 C 1873.5015 1982.5947 1884.5081 2009.6237 1914.1303 2046.1007 C 1930.9632 2066.8289 1964.3803 2092.6007 1964.3803 2092.6007 C 2014.6303 2118.1007 L 2115.3803 2162.3507 L 2215.8803 2192.1007 L S n 1907.1303 1905.8507 m 1857.3803 1905.8507 L 1 w S n 1914.3803 1927.1007 m 1973.6303 1927.1007 L S n 1933.7326 1886.6437 m 1904.5383 1886.6437 L 1904.5383 1870.7547 L 1933.7326 1870.7547 L 1933.7326 1886.6437 L n q { f1 [15 0 0 15 0 0] makesetfont 1904.5383 1871.959793 m 0 0 32 0 0 (0.6) ts } false [0 0 0 1]sts Q 2035.4826 1886.6437 m 2006.2883 1886.6437 L 2006.2883 1870.7547 L 2035.4826 1870.7547 L 2035.4826 1886.6437 L n q { f1 [15 0 0 15 0 0] makesetfont 2006.2883 1871.959793 m 0 0 32 0 0 (0.7) ts } false [0 0 0 1]sts Q 2136.9826 1886.6437 m 2107.7883 1886.6437 L 2107.7883 1870.7547 L 2136.9826 1870.7547 L 2136.9826 1886.6437 L n q { f1 [15 0 0 15 0 0] makesetfont 2107.7883 1871.959793 m 0 0 32 0 0 (0.8) ts } false [0 0 0 1]sts Q 2233.4826 1886.6437 m 2204.2883 1886.6437 L 2204.2883 1870.7547 L 2233.4826 1870.7547 L 2233.4826 1886.6437 L n q { f1 [15 0 0 15 0 0] makesetfont 2204.2883 1871.959793 m 0 0 32 0 0 (0.9) ts } false [0 0 0 1]sts Q vmrs 1798.8079 1905.1437 m 1782.1233 1905.1437 L 1782.1233 1889.2547 L 1798.8079 1889.2547 L 1798.8079 1905.1437 L n q { f1 [15 0 0 15 0 0] makesetfont 1782.123291 1890.459793 m 0 0 32 0 0 (10) ts } false [0 0 0 1]sts Q 1806.8027 1909.5265 m 1798.8003 1909.5265 L 1798.8003 1899.9931 L 1806.8027 1899.9931 L 1806.8027 1909.5265 L n q { f1 [9 0 0 9 0 0] makesetfont 1798.800293 1900.716171 m 0 0 32 0 0 (-2) ts } false [0 0 0 1]sts Q 1798.8079 2096.3937 m 1782.1233 2096.3937 L 1782.1233 2080.5047 L 1798.8079 2080.5047 L 1798.8079 2096.3937 L n q { f1 [15 0 0 15 0 0] makesetfont 1782.123291 2081.709793 m 0 0 32 0 0 (10) ts } false [0 0 0 1]sts Q 1806.8027 2100.7765 m 1798.8003 2100.7765 L 1798.8003 2091.2431 L 1806.8027 2091.2431 L 1806.8027 2100.7765 L n q { f1 [9 0 0 9 0 0] makesetfont 1798.800293 2091.966171 m 0 0 32 0 0 (-1) ts } false [0 0 0 1]sts Q 2130.1055 1865.8044 m 1906.1996 1865.8044 L 1906.1996 1847.8044 L 2130.1055 1847.8044 L 2130.1055 1865.8044 L n q { f1 [18 0 0 18 0 0] makesetfont 1906.199631 1851.404572 m 0 0 32 0 0 (T) ts -0.539978 0 rmoveto } true [0 0 0 1]sts { f1 [18 0 0 18 0 0] makesetfont 0 0 32 0 0 (ranslational ener) ts 0.017853 0 rmoveto } true [0 0 0 1]sts { f1 [18 0 0 18 0 0] makesetfont 0 0 32 0 0 (gy \(eV\)) ts } true [0 0 0 1]sts Q 1753.7959 2160.3517 m 1753.7959 1952.6007 L 1771.7959 1952.6007 L 1771.7959 2160.3517 L 1753.7959 2160.3517 L n q { f1 [0 18 -18 0 0 0] makesetfont 1768.195724 1952.600739 m 0 0 32 0 0 (Dissociation pr) ts 0 -0.07196 rmoveto } true [0 0 0 1]sts { f1 [0 18 -18 0 0 0] makesetfont 0 0 32 0 0 (obability) ts } true [0 0 0 1]sts { f1 [14 0 0 14 0 0] makesetfont 1850 2069.003784 m 0 0 32 0 0 (Classical) ts } true [0 0 0 1]sts Q 2049.984 2195.4037 m 2026 2195.4037 L 2026 2177.4037 L 2049.984 2177.4037 L 2049.984 2195.4037 L n q { f1 [18 0 0 18 0 0] makesetfont 2026 2181.003906 m 0 0 32 0 0 (H) ts } true [0 0 0 1]sts { f1 [14 0 0 14 0 0] makesetfont 0 -5 rmoveto 0 0 32 0 0 (2) ts 0 5 rmoveto } true [0 0 0 1]sts Q 2151.984 2121.4037 m 2128 2121.4037 L 2128 2103.4037 L 2151.984 2103.4037 L 2151.984 2121.4037 L n q { f1 [18 0 0 18 0 0] makesetfont 2128 2107.003906 m 0 0 32 0 0 (D) ts } true [0 0 0 1]sts { f1 [14 0 0 14 0 0] makesetfont 0 -5 rmoveto 0 0 32 0 0 (2) ts 0 5 rmoveto } true [0 0 0 1]sts Q 2000.0432 2210.0044 m 1837.1996 2210.0044 L 1837.1996 2192.0044 L 2000.0432 2192.0044 L 2000.0432 2210.0044 L n q { f1 [18 0 0 18 0 0] makesetfont 1837.199631 2195.604645 m 0 0 32 0 0 (Nor) ts 0.503998 0 rmoveto } true [0 0 0 1]sts { f1 [18 0 0 18 0 0] makesetfont 0 0 32 0 0 (mal incidence) ts } true [0 0 0 1]sts Q 1878.9754 2180.6007 m 1837.1996 2180.6007 L 1837.1996 2162.6007 L 1878.9754 2162.6007 L 1878.9754 2180.6007 L n q { f3 [18 0 0 18 0 0] makesetfont 1837.199631 2166.200958 m 0 0 32 0 0 (J) ts } true [0 0 0 1]sts { f1 [18 0 0 18 0 0] makesetfont 0 0 32 0 0 ( = 0) ts } true [0 0 0 1]sts Q 2107 2141 m 2124 2122 L 0.5 w 3.863693 M false setoverprint S n 2046 2172 m 2074 2148 L S n 1879 2059 m 1886 2018 L S n 1888 2061 m 1923 1987 L S n 1925 1906 m 1982 1912 L S n 1949 1919 m 1979 1914 L S n vmrs 1844.2326 1886.6437 m 1815.0383 1886.6437 L 1815.0383 1870.7547 L 1844.2326 1870.7547 L 1844.2326 1886.6437 L n q { f1 [15 0 0 15 0 0] makesetfont 1815.0383 1871.959793 m 0 0 32 0 0 (0.5) ts } false [0 0 0 1]sts Q 2065.4391 2073.32 m 2048.5738 2073.32 L 2048.5738 2059.5298 L 2065.4391 2059.5298 L 2065.4391 2073.32 L n q Q vmr end AltsysDict /SeparationSave get restore end %. userdict end %. 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All rights reserved. mark /currentglobal { false } /setglobal { pop } /packedarray { array astore readonly } /setcmykcolor { 1 exch sub 4 -1 roll 1 exch sub 1 index mul 4 -1 roll 1 exch sub 2 index mul 4 -2 roll exch 1 exch sub mul setrgbcolor } /.copydict { dup 3 -1 roll { put dup } forall pop } /.dicttomark { counttomark 2 idiv dup dict begin { def } repeat pop currentdict end } /.knownget { 2 copy known { get true } { pop pop false } ifelse } counttomark 2 idiv { 1 index where { pop pop pop } { bind executeonly def } ifelse } repeat pop currentglobal true setglobal systemdict /pdfmark known not { userdict /pdfmark { cleartomark } bind put } if userdict /GS_PDF_ProcSet 119 dict dup begin /bdef { bind def } bind def /numargsdict 100 dict def /! { //numargsdict 3 index 3 -1 roll put def } bdef /~ { exch cvx 1 packedarray cvx exch ! } bdef /nodict 1 dict def nodict /self { //nodict } executeonly put nodict readonly pop /beginpage { //nodict 20 dict .copydict begin graphicsbeginpage textbeginpage } bdef /endpage { showpage end } bdef /graphicsbeginpage { 0 g 0 G } bdef /gput { exch currentdict //nodict eq { /self dup load end 5 dict begin def } if currentdict length currentdict maxlength ge { currentdict dup length 3 mul 2 idiv 1 add dict .copydict end begin } if def } bdef /q_ { gsave //nodict begin } bdef /q /q_ load 0 ! /Q_ { currentdict /self .knownget { exec //nodict eq { end grestore } if } if } bdef /Q /Q_ load 0 ! /d /setdash 2 ~ /i /setflat 1 ~ /j /setlinejoin 1 ~ /J /setlinecap 1 ~ /M /setmiterlimit 1 ~ /w /setlinewidth 1 ~ /fcput { /FillColorSpace gput /FillColor gput } bdef /scput { /StrokeColorSpace gput /StrokeColor gput } bdef /csdevgray [/DeviceGray] readonly def /csdevrgb [/DeviceRGB] readonly def /csdevcmyk [/DeviceCMYK] readonly def /CSdict 11 dict dup begin /DeviceGray { 0 exch } bdef /DeviceRGB { [0 0 0] cvx exch } bdef /DeviceCMYK { [0 0 0 1] cvx exch } bdef /Indexed { dup 1 get csset exch pop dup 2 index 1 get eq { pop } { exch 4 array copy dup 1 4 -1 roll put } ifelse 0 exch } bdef /setcolorrendering where { pop /CalGray { 1 get dup /Gamma .knownget { dup length 1 add dict .copydict dup /DecodeA 4 -1 roll /exp load 2 packedarray cvx put } if /CIEBasedA exch 2 array astore 0 exch } bdef /CalRGB { 1 get dup /Gamma known 1 index /Matrix known or { dup length 2 add dict .copydict dup /Matrix .knownget { 1 index /MatrixABC 3 -1 roll put } if dup /Gamma .knownget { [ exch { /exp load 2 packedarray cvx } forall ] 1 index /DecodeABC 3 -1 roll put } if } if /CIEBasedABC exch 2 array astore [0 0 0] cvx exch } bdef /CalCMYK { pop //csdevcmyk csset } bdef } { /CalGray { pop //csdevgray csset } bdef /CalRGB { pop //csdevrgb csset } bdef /CalCMYK { pop //csdevcmyk csset } bdef } ifelse end def /csset { dup dup type /nametype ne { 0 get } if //CSdict exch get exec } bdef /g { //csdevgray fcput } 1 ! /G { //csdevgray scput } 1 ! /rg { 3 array astore cvx //csdevrgb fcput } 3 ! /RG { 3 array astore cvx //csdevrgb scput } 3 ! /k { 4 array astore cvx //csdevcmyk fcput } 4 ! /K { 4 array astore cvx //csdevcmyk scput } 4 ! /cs { csset fcput } 1 ! /CS { csset scput } 1 ! /sc1 { /FillColor gput } 1 ! /SC1 { /StrokeColor gput } 1 ! /sc3 { /FillColor load astore pop } 3 ! /SC3 { /StrokeColor load astore pop } 3 ! /sc4 { /FillColor load astore pop } 4 ! /SC4 { /StrokeColor load astore pop } 4 ! /setfillcolor { FillColor FillColorSpace setgcolor } def /setstrokecolor { StrokeColor StrokeColorSpace setgcolor } def /CIdict mark /DeviceGray 1 /DeviceRGB 3 /DeviceCMYK 4 /CIEBaseA 1 /CIEBaseABC 3 /CIEBasedDEF 3 /CIEBaseDEFG 4 .dicttomark def /Cdict 11 dict dup begin /DeviceGray { pop setgray } bdef /DeviceRGB { pop setrgbcolor } bdef /DeviceCMYK { pop setcmykcolor } bdef /CIEBasedA { dup currentcolorspace eq { pop } { setcolorspace } ifelse setcolor } bdef /CIEBasedABC /CIEBasedA load def /CIEBasedDEF /CIEBasedA load def /CIEBasedDEFG /CIEBasedA load def /Indexed /setcolorspace where { pop /CIEBasedA load } { /setindexedcolor cvx } ifelse def end def /setindexedcolor { mark 3 -1 roll 2 index 3 get dup type /stringtype eq { //CIdict 4 index 1 get 0 get get dup 4 -1 roll mul exch getinterval { 255 div } forall } { exec } ifelse counttomark 2 add -2 roll pop 1 get setgcolor } bdef /setgcolor { 1 index null eq { pop pop } { dup 0 get //Cdict exch get exec } ifelse } bdef /fsexec { { currentpoint } stopped { $error /newerror false put cvx exec } { 3 -1 roll cvx exec moveto } ifelse } bdef /cmmatrix matrix def /cm { //cmmatrix astore concat } 6 ! /m /moveto 2 ~ /l /lineto 2 ~ /c /curveto 6 ~ /h /closepath 0 ~ /v { currentpoint 6 2 roll curveto } 4 ! /y { 2 copy curveto } 4 ! /re { 4 2 roll moveto exch dup 0 rlineto 0 3 -1 roll rlineto neg 0 rlineto closepath } 4 ! /S_ { setstrokecolor /stroke fsexec } bdef /S { S_ } 0 ! /f { setfillcolor /fill fsexec } 0 ! /f* { setfillcolor /eofill fsexec } 0 ! /n_ { newpath } bdef /n { n_ } 0 ! /s { closepath S_ } 0 ! /B_ { gsave setfillcolor fill grestore S_ } bdef /B /B_ load 0 ! /b { closepath B_ } 0 ! /B*_ { gsave setfillcolor eofill grestore S_ } bdef /B* /B*_ load 0 ! /b* { closepath B*_ } 0 ! /Wdict 4 dict dup begin /S_ { gsave setstrokecolor stroke grestore n_ } bdef /f { gsave setfillcolor fill grestore n_ } 0 ! /f* { gsave setfillcolor eofill grestore n_ } 0 ! /n_ { end clip newpath } bdef end readonly def /W { //Wdict begin } 0 ! /W*dict 4 dict dup begin /S_ { gsave setstrokecolor stroke grestore n_ } bdef /f { gsave setfillcolor fill grestore n_ } 0 ! /f* { gsave setfillcolor eofill grestore n_ } 0 ! /n_ { end eoclip newpath } bdef end readonly def /W* { //W*dict begin } 0 ! /Is { dup /DataSource get string /readstring cvx /currentfile cvx 3 index /FilterProc .knownget { dup dup 0 get /ASCIIHexDecode eq exch length 2 eq and { pop exch pop /readhexstring cvx exch } { exch exec exch exec } ifelse } if 3 1 roll /pop cvx 4 packedarray cvx } bdef /EI { } def /csimage { /setcolorspace where { pop dup /ColorSpace get csset setcolorspace pop image } { .colorspaceimage } ifelse } def /ID { Is dup 3 -1 roll dup /ImageMask get { setfillcolor dup /Interpolate .knownget not { false } if { dup /DataSource 4 -1 roll put /imagemask cvx exec } { { /Width /Height /Decode /ImageMatrix } { 1 index exch get exch } forall pop exch 0 get 0 ne exch 5 -1 roll imagemask } ifelse } { dup /ColorSpace get /DeviceGray eq 1 index /BitsPerComponent get 8 le and 1 index /Decode get dup 1 get 1 eq exch 0 get 0 eq and and 1 index /Interpolate .knownget not { false } if not and { { /Width /Height /BitsPerComponent /ImageMatrix } { 1 index exch get exch } forall pop 5 -1 roll image } { dup /DataSource 4 -1 roll put csimage } ifelse } ifelse dup type /filetype ne { dup 2 get /readhexstring eq { { dup 0 get exec read pop (>) 0 get eq { exit } if } loop } if pop } { pop } ifelse EI } 1 ! /IDx { Is 1 index /DataSource 3 -1 roll put csimage EI } 1 ! /textbeginpage { /TextSpacing 0 def /TextLeading 0 def /TextRenderingMode 0 def /TextRise 0 def /WordSpacing 0 def /TextHScaling 1.0 def /TextFont null def /Show { showfirst } def } bdef /settextmatrix { TextMatrix concat TextHScaling 1 ne { TextHScaling 1 scale } if TextRise 0 ne { 0 TextRise translate } if } bdef /settextstate { TextSaveMatrix setmatrix settextmatrix } bdef /BT { currentdict /TextMatrix .knownget { identmatrix pop } { matrix /TextMatrix gput } ifelse currentdict /TextOrigin .knownget { dup 0 0 put 1 0 put } { [0 0] cvx /TextOrigin gput } ifelse { showfirst } /Show gput currentdict /TextSaveMatrix .knownget not { matrix dup /TextSaveMatrix gput } if currentmatrix pop settextmatrix 0 0 moveto TextFont dup null eq { pop } { setfont } ifelse } bind 0 ! /ET { TextSaveMatrix setmatrix } bind 0 ! /Tc_ { /TextSpacing gput { showfirst } /Show gput } bdef /Tc { Tc_ } 1 ! /TL { /TextLeading gput } bind 1 ! /Tr { /TextRenderingMode gput { showfirst } /Show gput } bind 1 ! /Ts { /TextRise gput settextstate } bind 1 ! /Tw_ { /WordSpacing gput { showfirst } /Show gput } bdef /Tw { Tw_ } 1 ! /Tz { 100 div /TextHScaling gput settextstate } bind 1 ! /Tf { dup 1 eq { pop } { scalefont } ifelse dup setfont /TextFont gput } 2 ! /.copyfontdict { 1 index /FID known 1 index { 2 index /UniqueID known or 2 index /XUID known or } if { exch dup length 1 add dict exch { 1 index /FID eq 4 index { 2 index /UniqueID eq or 2 index /XUID eq or } if not { 3 copy put } if pop pop } forall exch } if pop } bdef /.updatefont { 2 index 4 1 roll dup null ne { 3 -1 roll true .copyfontdict dup /Metrics 4 -1 roll put exch } { pop } ifelse dup null ne 1 index 3 index /Encoding get ne and { exch false .copyfontdict dup /Encoding 4 -1 roll put } { pop } ifelse exch 1 index ne } bdef /Td_ { TextOrigin exch 4 -1 roll add 3 1 roll add 2 copy /TextOrigin load astore pop moveto } bdef /Td { Td_ } 2 ! /TD { dup neg /TextLeading gput Td_ } 2 ! /T*_ { 0 TextLeading neg Td_ } bdef /T* { T*_ } 0 ! /Tm { TextMatrix astore pop settextstate 0 0 /TextOrigin load astore pop 0 0 moveto } 6 ! /textrenderingprocs [ { tf } { tS } { tB } { tn } 4 copy ] readonly def /setshowstate { WordSpacing 0 eq TextSpacing 0 eq and { TextRenderingMode 0 eq { { setfillcolor show } } { { false charpath textrenderingprocs TextRenderingMode get exec } } ifelse } { TextRenderingMode 0 eq { WordSpacing 0 eq { { setfillcolor TextSpacing exch 0 exch ashow } } { TextSpacing 0 eq { { setfillcolor WordSpacing exch 0 exch 32 exch widthshow } } { { setfillcolor WordSpacing exch TextSpacing exch 0 32 4 2 roll 0 exch awidthshow } } ifelse } ifelse } { { WordSpacing TextSpacing 2 index 0 1 2 index length 1 sub { 2 copy 1 getinterval false charpath 4 copy get 32 eq { add } { exch pop } ifelse 0 rmoveto pop } for pop pop pop pop textrenderingprocs TextRenderingMode get exec } } ifelse } ifelse /Show gput } bdef /showfirst { setshowstate Show } def /Tj { Show } 1 ! /' { T*_ Show } 1 ! /" { exch Tc_ exch Tw_ T*_ Show } 3 ! /TJ { counttomark -1 1 { -1 roll dup type /stringtype eq { Show } { neg 1000 div 0 rmoveto } ifelse } for pop } ([) 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FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE7C7C>7 172 108 256 48 106 D E /Fe 1 64 df63 D E end TeXDict begin -10 -35 translate 40. 40. scale % to cm 0.4 5.6 translate 20 setlinewidth -2000 0 0 -2000 2000 0 0 2000 6.000 13.000 0 L 0.001 setlinewidth 6.0 13.0 .25 0 360 arc gsave fill grestore stroke 6.0 15.0 .25 0 360 arc gsave fill grestore stroke 8.0 13.0 .25 0 360 arc gsave fill grestore stroke 8.0 15.0 .25 0 360 arc gsave fill grestore stroke 7.0 14.0 .25 0 360 arc gsave fill grestore stroke 20 setlinewidth 120 -120 6.50 13.50 0 L 20 setlinewidth -120 120 6.50 13.50 0 L 0.01 setlinewidth 1.000000 1.000000 1.000000 setrgbcolor 6.375 13.625 .15 0 360 arc gsave fill grestore stroke 0.000000 0.000000 0.000000 setrgbcolor 6.375 13.625 .15 0 360 arc stroke 1.000000 1.000000 1.000000 setrgbcolor 6.625 13.375 .15 0 360 arc gsave fill grestore stroke 0.000000 0.000000 0.000000 setrgbcolor 6.625 13.375 .15 0 360 arc stroke -0.4 -5.6 translate .025 .025 scale % to cm 1 0 bop -220 5859 a @beginspecial 54 @llx 56 @lly 513 @urx 810 @ury 4535 @rwi @setspecial %+ prolog.ps -- Prolog for IMSL/IDL generated PostScript files %+ Copyright (c) 1988-1991 Research Systems, Inc. All Rights Reserved. %v 2 save /$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C {currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 {[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 {[400 200] 0 setdash} bdef /ISOLATIN { currentfont dup length dict begin { 1 index /FID ne {def} {pop pop} ifelse } forall /Encoding ISOLatin1Encoding def currentfont currentdict definefont setfont end } bind def end save $IDL_DICT begin 54 56 translate 0.0283465 dup scale /Helvetica findfont 564.444 scalefont setfont 0.9275 0.9275 scale 0.000 K gsave 9654 25507 translate 0 0 M 1.875 dup scale -313.267 0 N /Times-Roman findfont 564.444 scalefont setfont () show grestore /Times-Roman findfont 564.444 scalefont setfont 50 setlinewidth L0 ISOLATIN 4440 2820 M 10428 0 R D 4440 2820 M 0 447 R D gsave 4440 1762 translate 0 0 M 1.5 dup scale -70.5556 0 N ( ) show grestore 6178 2820 M 0 447 R D gsave 6178 1762 translate 0 0 M 1.5 dup scale -141.111 0 N (1) show grestore 7916 2820 M 0 447 R D gsave 7916 1762 translate 0 0 M 1.5 dup scale -70.5556 0 N ( ) show grestore 9654 2820 M 0 447 R D gsave 9654 1762 translate 0 0 M 1.5 dup scale -141.111 0 N (2) show grestore 11392 2820 M 0 447 R D gsave 11392 1762 translate 0 0 M 1.5 dup scale -70.5556 0 N ( ) show grestore 13130 2820 M 0 447 R D gsave 13130 1762 translate 0 0 M 1.5 dup scale -141.111 0 N (3) show grestore 14868 2820 M 0 447 R D gsave 14868 1762 translate 0 0 M 1.5 dup scale -70.5556 0 N ( ) show grestore 4787 2820 M 0 223 R D 5135 2820 M 0 223 R D 5482 2820 M 0 223 R D 5830 2820 M 0 223 R D 6525 2820 M 0 223 R D 6873 2820 M 0 223 R D 7220 2820 M 0 223 R D 7568 2820 M 0 223 R D 8263 2820 M 0 223 R D 8611 2820 M 0 223 R D 8958 2820 M 0 223 R D 9306 2820 M 0 223 R D 10001 2820 M 0 223 R D 10349 2820 M 0 223 R D 10696 2820 M 0 223 R D 11044 2820 M 0 223 R D 11739 2820 M 0 223 R D 12087 2820 M 0 223 R D 12434 2820 M 0 223 R D 12782 2820 M 0 223 R D 13477 2820 M 0 223 R D 13825 2820 M 0 223 R D 14172 2820 M 0 223 R D 14520 2820 M 0 223 R D gsave 9654 846 translate 0 0 M 1.5 dup scale -824.055 0 N /Times-BoldItalic findfont 564.444 scalefont setfont (d) show X -101.79 M /Times-Roman findfont 248.356 scalefont setfont (H-H) show X 0 M /Times-Roman findfont 564.444 scalefont setfont ISOLATIN ( \(\305\)) show grestore 4440 25190 M 10428 0 R D 4440 25190 M 0 -448 R D 6178 25190 M 0 -448 R D 7916 25190 M 0 -448 R D 9654 25190 M 0 -448 R D 11392 25190 M 0 -448 R D 13130 25190 M 0 -448 R D 14868 25190 M 0 -448 R D 4787 25190 M 0 -224 R D 5135 25190 M 0 -224 R D 5482 25190 M 0 -224 R D 5830 25190 M 0 -224 R D 6525 25190 M 0 -224 R D 6873 25190 M 0 -224 R D 7220 25190 M 0 -224 R D 7568 25190 M 0 -224 R D 8263 25190 M 0 -224 R D 8611 25190 M 0 -224 R D 8958 25190 M 0 -224 R D 9306 25190 M 0 -224 R D 10001 25190 M 0 -224 R D 10349 25190 M 0 -224 R D 10696 25190 M 0 -224 R D 11044 25190 M 0 -224 R D 11739 25190 M 0 -224 R D 12087 25190 M 0 -224 R D 12434 25190 M 0 -224 R D 12782 25190 M 0 -224 R D 13477 25190 M 0 -224 R D 13825 25190 M 0 -224 R D 14172 25190 M 0 -224 R D 14520 25190 M 0 -224 R D 4440 2820 M 0 22370 R D 4440 4540 M 208 0 R D gsave 4218 4258 translate 0 0 M 1.5 dup scale -282.222 0 N (0) show grestore 4440 7982 M 208 0 R D gsave 4218 7700 translate 0 0 M 1.5 dup scale -141.111 0 N ( ) show grestore 4440 11424 M 208 0 R D gsave 4218 11142 translate 0 0 M 1.5 dup scale -282.222 0 N (1) show grestore 4440 14865 M 208 0 R D gsave 4218 14583 translate 0 0 M 1.5 dup scale -141.111 0 N ( ) show grestore 4440 18307 M 208 0 R D gsave 4218 18025 translate 0 0 M 1.5 dup scale -282.222 0 N (2) show grestore 4440 21748 M 208 0 R D gsave 4218 21466 translate 0 0 M 1.5 dup scale -141.111 0 N ( ) show grestore 4440 25190 M 208 0 R D gsave 4218 24696 translate 0 0 M 1.5 dup scale -282.222 0 N (3) show grestore 4440 3164 M 104 0 R D 4440 3852 M 104 0 R D 4440 5229 M 104 0 R D 4440 5917 M 104 0 R D 4440 6605 M 104 0 R D 4440 7294 M 104 0 R D 4440 8670 M 104 0 R D 4440 9359 M 104 0 R D 4440 10047 M 104 0 R D 4440 10735 M 104 0 R D 4440 12112 M 104 0 R D 4440 12800 M 104 0 R D 4440 13488 M 104 0 R D 4440 14177 M 104 0 R D 4440 15553 M 104 0 R D 4440 16242 M 104 0 R D 4440 16930 M 104 0 R D 4440 17618 M 104 0 R D 4440 18995 M 104 0 R D 4440 19683 M 104 0 R D 4440 20372 M 104 0 R D 4440 21060 M 104 0 R D 4440 22436 M 104 0 R D 4440 23125 M 104 0 R D 4440 23813 M 104 0 R D 4440 24501 M 104 0 R D gsave 3129 14005 translate 0 0 M 90 rotate 1.5 dup scale -634.718 0 N /Times-BoldItalic findfont 564.444 scalefont setfont (Z) show /Times-Roman findfont 564.444 scalefont setfont ISOLATIN ( \(\305\)) show grestore 14868 2820 M 0 22370 R D 14868 4540 M -209 0 R D 14868 7982 M -209 0 R D 14868 11424 M -209 0 R D 14868 14865 M -209 0 R D 14868 18307 M -209 0 R D 14868 21748 M -209 0 R D 14868 25190 M -209 0 R D 14868 3164 M -105 0 R D 14868 3852 M -105 0 R D 14868 5229 M -105 0 R D 14868 5917 M -105 0 R D 14868 6605 M -105 0 R D 14868 7294 M -105 0 R D 14868 8670 M -105 0 R D 14868 9359 M -105 0 R D 14868 10047 M -105 0 R D 14868 10735 M -105 0 R D 14868 12112 M -105 0 R D 14868 12800 M -105 0 R D 14868 13488 M -105 0 R D 14868 14177 M -105 0 R D 14868 15553 M -105 0 R D 14868 16242 M -105 0 R D 14868 16930 M -105 0 R D 14868 17618 M -105 0 R D 14868 18995 M -105 0 R D 14868 19683 M -105 0 R D 14868 20372 M -105 0 R D 14868 21060 M -105 0 R D 14868 22436 M -105 0 R D 14868 23125 M -105 0 R D 14868 23813 M -105 0 R D 14868 24501 M -105 0 R D gsave 7079 5000 translate 0 0 M -76.8091 rotate 1.125 dup scale -493.889 0 N () show grestore L2 7453 2820 M -5 23 R -28 124 R -26 125 R -21 128 R -19 128 R -16 130 R -14 130 R -12 131 R -12 131 R D 6793 6054 M -46 108 R -47 108 R -47 108 R -48 106 R -49 106 R -49 106 R -49 104 R -51 104 R -50 103 R -51 103 R -52 102 R -52 102 R -51 102 R -52 102 R -52 102 R -51 102 R -51 102 R -52 103 R -50 103 R -51 103 R -50 104 R -49 105 R -50 105 R -48 106 R -49 106 R -48 107 R -47 107 R -47 108 R -48 107 R -47 108 R -45 110 R -42 113 R -38 117 R -32 121 R -30 124 R -27 125 R -25 126 R -23 127 R -23 127 R -24 127 R -26 126 R -24 126 R -24 127 R -26 125 R -29 124 R -31 122 R -31 123 R -30 123 R -31 123 R -29 123 R -28 124 R -27 126 R -19 128 R -14 131 R -9 132 R -6 132 R -3 133 R -2 132 R -2 133 R -2 133 R -3 132 R -5 133 R -8 131 R -13 131 R -14 131 R -12 131 R -13 131 R -11 131 R -10 132 R -9 131 R -9 132 R -7 132 R -8 132 R -8 132 R -10 132 R -10 131 R -12 131 R -5 46 R D gsave 4531 19294 translate 0 0 M 86.9022 rotate 1.125 dup scale -493.889 0 N () show grestore 4440 17945 M 3 57 R 5 113 R D 4574 20469 M 20 128 R 20 129 R 19 128 R 18 129 R 16 130 R 15 130 R 17 130 R 17 129 R 15 131 R 13 130 R 12 131 R 10 132 R 10 131 R 7 132 R 6 132 R 5 133 R 3 132 R 2 132 R 2 133 R 2 132 R 1 133 R 1 132 R 1 132 R 1 133 R 0 132 R 1 133 R 0 132 R 0 133 R 0 132 R 0 133 R 0 132 R -1 133 R 0 132 R 0 133 R -1 132 R 0 120 R D 4893 25190 M 1 -121 R 0 -132 R 1 -133 R 0 -132 R 1 -133 R 0 -132 R 0 -133 R 1 -132 R 0 -133 R -1 -132 R 0 -133 R -1 -132 R -1 -133 R -1 -132 R -1 -133 R -1 -132 R -2 -133 R -2 -132 R -3 -133 R -3 -132 R -5 -133 R -7 -132 R -7 -132 R -10 -131 R -12 -131 R -13 -131 R -11 -131 R -12 -131 R -15 -131 R -15 -130 R -16 -130 R -18 -129 R -18 -129 R -20 -129 R -19 -128 R -16 -130 R -18 -130 R -17 -129 R -17 -130 R -16 -130 R -15 -130 R -13 -131 R -9 -131 R -5 -133 R -4 -132 R 0 -132 R 2 -133 R 1 -132 R 0 -133 R -1 -132 R -2 -133 R -3 -132 R -4 -133 R -5 -132 R -5 -132 R -6 -132 R -6 -133 R -7 -132 R -6 -132 R -7 -132 R -7 -132 R -6 -132 R -5 -132 R -5 -133 R -4 -132 R -3 -132 R -1 -133 R 1 -132 R 2 -133 R 4 -132 R 7 -132 R 9 -132 R 10 -131 R 13 -131 R 13 -131 R 11 -131 R 10 -132 R 9 -132 R 9 -131 R 7 -132 R 7 -132 R 7 -132 R 7 -132 R 9 -132 R 10 -132 R 11 -131 R 12 -131 R 13 -131 R 13 -131 R 10 -131 R 8 -132 R 5 -132 R 3 -133 R 4 -132 R 3 -133 R 4 -132 R 5 -132 R 9 -132 R 12 -131 R 16 -130 R 21 -128 R 26 -125 R 29 -124 R 30 -123 R 31 -123 R 31 -122 R 29 -124 R 29 -123 R 29 -124 R 27 -125 R 25 -126 R 24 -126 R 26 -126 R 27 -125 R 26 -125 R 26 -126 R 28 -124 R 31 -122 R 34 -121 R 37 -117 R 43 -113 R 45 -110 R 46 -108 R 47 -108 R 47 -108 R 48 -107 R 48 -106 R 48 -107 R 49 -105 R 49 -105 R 50 -104 R 50 -104 R 51 -103 R 51 -103 R 52 -102 R 51 -101 R 52 -102 R 53 -101 R 52 -101 R 52 -101 R 52 -102 R 51 -102 R 51 -102 R 51 -103 R 50 -104 R 50 -105 R 49 -105 R 48 -106 R 48 -107 R 47 -108 R 46 -109 R 46 -109 R 45 -109 R 45 -111 R 44 -110 R 44 -112 R 41 -114 R 39 -116 R 35 -120 R 30 -122 R 30 -124 R 26 -125 R 24 -127 R 19 -129 R 18 -129 R 18 -129 R 16 -130 R 14 -130 R 14 -131 R 14 -131 R 13 -130 R 14 -131 R 15 -130 R 19 -129 R 22 -127 R 26 -126 R 28 -124 R 27 -125 R 27 -125 R 4 -25 R D 7741 2820 M -4 26 R -24 127 R -25 126 R -27 125 R -29 123 R -29 125 R -25 126 R -20 128 R -18 129 R -17 130 R -16 130 R -16 130 R -15 130 R -17 130 R -18 129 R -17 130 R -18 129 R -21 128 R -25 126 R -26 125 R -28 125 R -31 122 R -35 120 R -38 117 R -40 115 R -42 113 R -43 112 R -44 111 R -45 111 R -45 110 R -45 110 R -47 108 R -47 108 R -48 107 R -48 105 R -50 105 R -50 105 R -50 103 R -51 102 R -52 102 R -52 102 R -52 101 R -53 101 R -52 101 R -52 101 R -53 101 R -52 101 R -51 102 R -51 102 R -51 104 R -50 103 R -50 105 R -49 105 R -49 106 R -47 107 R -48 107 R -47 108 R -47 108 R -46 108 R -46 110 R -41 114 R -39 116 R -36 119 R -32 122 R -30 123 R -30 123 R -29 124 R -28 124 R -25 126 R -26 126 R -28 124 R -30 124 R -28 124 R -28 124 R -30 123 R -32 122 R -30 123 R -29 124 R -27 125 R -24 126 R -19 129 R -12 131 R -11 132 R -8 132 R -6 132 R -4 132 R -4 133 R -4 132 R -6 132 R -8 132 R -10 132 R -13 131 R -13 131 R -12 131 R -11 131 R -9 132 R -8 132 R -5 132 R -6 132 R -5 133 R -5 132 R -6 132 R -7 132 R -10 132 R -11 131 R -11 132 R -12 131 R -11 131 R -9 132 R -6 132 R -5 132 R -2 133 R -1 133 R 1 132 R 2 133 R 3 132 R 5 133 R 5 132 R 6 132 R 6 132 R 6 132 R 7 133 R 6 132 R 7 132 R 5 132 R 6 132 R 4 133 R 4 132 R 4 133 R 2 132 R 1 133 R 1 132 R -1 133 R -2 132 R 0 133 R 3 133 R 6 132 R 9 132 R 11 131 R 14 131 R 16 129 R 18 130 R 18 129 R 17 130 R 17 129 R 17 130 R 16 130 R 19 128 R 19 129 R 17 130 R 15 130 R 14 131 R 13 131 R 12 131 R 10 131 R 8 132 R 9 132 R 9 132 R 7 132 R 5 132 R 4 133 R 3 132 R 2 133 R 2 132 R 2 133 R 2 132 R 1 133 R 1 132 R 1 133 R 0 133 R 0 132 R 0 133 R 0 132 R -1 133 R 0 133 R -1 132 R -1 133 R 0 132 R -1 133 R -1 121 R D 5132 25190 M 1 -122 R 1 -132 R 2 -133 R 1 -132 R 1 -133 R 1 -133 R 1 -132 R 0 -133 R 1 -132 R 0 -133 R 0 -133 R -1 -132 R -1 -133 R -2 -133 R -1 -132 R -3 -133 R -2 -132 R -3 -133 R -4 -132 R -4 -133 R -5 -132 R -7 -132 R -11 -132 R -10 -131 R -7 -132 R -10 -132 R -11 -132 R -12 -131 R -14 -130 R -14 -131 R -17 -130 R -20 -128 R -21 -128 R -16 -130 R -16 -130 R -17 -130 R -17 -129 R -18 -130 R -18 -129 R -17 -130 R -14 -130 R -12 -132 R -9 -131 R -7 -133 R -3 -132 R 0 -133 R 0 -132 R 1 -133 R -1 -133 R -2 -132 R -3 -133 R -4 -132 R -4 -133 R -5 -132 R -5 -132 R -6 -133 R -6 -132 R -6 -132 R -7 -132 R -6 -133 R -6 -132 R -6 -132 R -5 -132 R -4 -133 R -3 -132 R -3 -133 R 0 -133 R 1 -132 R 2 -133 R 4 -132 R 7 -133 R 8 -132 R 9 -131 R 11 -132 R 11 -131 R 9 -132 R 8 -132 R 5 -132 R 4 -133 R 3 -132 R 3 -133 R 4 -132 R 3 -133 R 5 -132 R 8 -132 R 10 -132 R 12 -131 R 12 -131 R 12 -131 R 10 -132 R 8 -132 R 7 -132 R 5 -132 R 6 -133 R 7 -132 R 7 -132 R 9 -132 R 12 -131 R 18 -129 R 21 -128 R 24 -127 R 28 -124 R 30 -124 R 29 -123 R 31 -123 R 31 -122 R 29 -124 R 28 -125 R 28 -124 R 30 -123 R 29 -124 R 28 -124 R 31 -123 R 32 -121 R 34 -121 R 35 -120 R 37 -118 R 40 -115 R 43 -112 R 45 -110 R 45 -110 R 47 -108 R 47 -108 R 47 -107 R 48 -107 R 49 -106 R 49 -105 R 50 -104 R 51 -104 R 51 -102 R 51 -102 R 52 -102 R 53 -101 R 52 -101 R 52 -101 R 53 -100 R 53 -101 R 52 -101 R 52 -102 R 51 -102 R 51 -103 R 51 -104 R 49 -104 R 49 -106 R 48 -106 R 47 -108 R 47 -109 R 45 -109 R 45 -111 R 43 -112 R 44 -111 R 43 -112 R 43 -113 R 40 -115 R 39 -116 R 36 -119 R 35 -119 R 31 -123 R 28 -124 R 25 -126 R 25 -127 R 23 -127 R 20 -128 R 18 -130 R 17 -129 R 18 -129 R 19 -130 R 18 -129 R 18 -129 R 20 -128 R 22 -128 R 24 -127 R 27 -125 R 29 -124 R 28 -124 R 27 -125 R 24 -127 R 24 -126 R 21 -128 R 4 -28 R D gsave 7679 4319 translate 0 0 M -79.4112 rotate 1.125 dup scale -493.889 0 N () show grestore L3 8040 2820 M -3 24 R -19 125 R -20 124 R -21 123 R D gsave 4980 17218 translate 0 0 M 88.3524 rotate 1.125 dup scale -493.889 0 N (0.0) show grestore 7556 5483 M -26 124 R -30 123 R -33 121 R -34 120 R -37 117 R -39 116 R -41 114 R -41 114 R -42 113 R -42 113 R -43 111 R -44 111 R -45 111 R -45 108 R -47 108 R -47 108 R -49 105 R -49 105 R -50 104 R -51 102 R -51 102 R -52 101 R -53 100 R -52 101 R -53 99 R -53 100 R -52 101 R -53 101 R -52 101 R -51 102 R -50 103 R -51 103 R -49 104 R -49 106 R -48 105 R -48 108 R -46 107 R -47 108 R -45 109 R -46 110 R -44 111 R -42 112 R -40 115 R -37 117 R -36 119 R -36 119 R -33 120 R -31 122 R -31 122 R -32 121 R -31 123 R -29 123 R -29 123 R -31 122 R -30 123 R -30 123 R -29 124 R -26 125 R -25 126 R -22 127 R -17 129 R -12 131 R -10 132 R -9 131 R -8 132 R -7 131 R -7 132 R -8 132 R -9 131 R -11 131 R -11 131 R -10 131 R -10 132 R -7 132 R -4 132 R -2 132 R -1 132 R 0 133 R 1 132 R -1 132 R -1 133 R -3 132 R -6 132 R -7 131 R -8 132 R -8 132 R -7 131 R -5 132 R -4 133 R D gsave 6628 13571 translate 0 0 M -56.7286 rotate 1.125 dup scale -493.889 0 N (0.0) show grestore 4966 18403 M 7 133 R 5 132 R 5 133 R 3 132 R 3 133 R 2 132 R 5 133 R 8 132 R 12 131 R 13 131 R 15 130 R 15 131 R 16 130 R 18 129 R 28 124 R 31 124 R 24 126 R 20 129 R 17 130 R 25 126 R 27 124 R 21 128 R 17 132 R 16 135 R 13 126 R 8 113 R 5 136 R 4 73 R 3 -159 R 4 -117 R 7 -120 R 8 -135 R 9 -136 R 9 -132 R 8 -130 R 8 -132 R 6 -133 R 5 -133 R 4 -132 R 5 -132 R 7 -133 R 8 -132 R 10 -131 R 13 -131 R 15 -131 R 9 -132 R 8 -131 R 10 -132 R 10 -132 R 10 -131 R 11 -132 R 11 -131 R 12 -131 R 13 -131 R 15 -131 R 18 -129 R 13 -131 R 12 -131 R 14 -131 R 15 -130 R 16 -130 R 18 -130 R 18 -129 R 20 -129 R 21 -128 R 17 -129 R 17 -130 R 18 -130 R 18 -129 R 18 -129 R 17 -130 R 18 -129 R 22 -128 R 23 -127 R 25 -127 R 27 -125 R 29 -124 R 29 -123 R 31 -123 R 36 -119 R 42 -113 R 38 -117 R 38 -118 R 42 -112 R 42 -115 R D 7292 13034 M 79 -30 R 79 -24 R 80 -23 R 79 -24 R 79 -29 R 77 -38 R 76 -46 R 76 -47 R 76 -45 R 77 -41 R 77 -38 R 78 -36 R 78 -36 R 78 -34 R 78 -35 R 77 -37 R 77 -40 R 77 -40 R 77 -43 R 76 -43 R 76 -45 R 76 -46 R 75 -48 R 75 -50 R 75 -49 R 76 -47 R 75 -46 R 77 -43 R 76 -42 R 77 -41 R 78 -38 R 78 -35 R 78 -32 R 79 -30 R 79 -26 R 80 -24 R 79 -20 R 80 -19 R 81 -15 R 80 -13 R 80 -12 R 81 -8 R 81 -7 R 81 -6 R 80 -3 R 81 -3 R 81 -1 R 81 -1 R 80 -1 R 81 1 R 81 0 R 81 0 R 81 0 R 80 0 R 81 -1 R 81 -2 R 81 -2 R 81 -3 R 80 -4 R 81 -5 R 81 -5 R 80 -6 R 81 -6 R 81 -6 R 81 -5 R 80 -1 R 81 3 R 81 6 R 81 3 R 80 1 R 81 1 R 81 1 R 81 2 R 81 2 R 80 2 R 81 3 R 81 3 R 81 4 R 80 4 R 81 4 R 81 4 R 81 4 R 81 5 R 80 4 R 81 5 R 81 4 R 80 5 R 81 4 R 81 4 R 81 4 R 81 4 R 80 4 R 81 3 R 81 3 R 81 2 R 33 0 R D L2 14868 11860 M -33 -1 R -81 -3 R -81 -4 R -81 -4 R -81 -4 R -80 -4 R -81 -5 R -81 -5 R -81 -5 R -80 -4 R -81 -5 R -81 -5 R -81 -4 R -81 -5 R -80 -4 R -81 -5 R -81 -3 R -81 -4 R -80 -4 R -81 -3 R -81 -2 R -81 -3 R -81 -2 R -80 -1 R -81 -1 R -81 -1 R -81 -1 R -81 -2 R -81 -3 R -80 -1 R -81 2 R -81 7 R -81 6 R -80 6 R -81 6 R -81 5 R -81 4 R -80 4 R -81 3 R -81 2 R -81 2 R -81 1 R -80 0 R -81 0 R -81 0 R -81 0 R -81 0 R -81 0 R -80 1 R -81 2 R -81 3 R -81 5 R -80 6 R -81 8 R -81 10 R -80 12 R -80 15 R -81 18 R -80 18 R -79 23 R -80 25 R -79 28 R -78 31 R -78 34 R -78 37 R -77 39 R -77 43 R -76 45 R -76 44 R -75 48 R -75 49 R -75 51 R -74 52 R -75 50 R -76 48 R -75 47 R -76 45 R -76 44 R -77 43 R -77 41 R -77 40 R -77 38 R -77 39 R -77 41 R -77 42 R -76 46 R -75 50 R -75 49 R -77 41 R -78 30 R -80 21 R -80 18 R -81 17 R -80 19 R -79 22 R -79 30 R -77 39 R -77 42 R -73 56 R -70 68 R -66 77 R -59 90 R -53 100 R -48 107 R -46 109 R -47 108 R -46 110 R -45 110 R -45 110 R -44 111 R -43 113 R -40 115 R -37 119 R -37 117 R -36 119 R -31 123 R -33 121 R -35 120 R -30 123 R -28 124 R -27 125 R -28 125 R -27 125 R -25 126 R -22 128 R -22 128 R -22 127 R -20 129 R -19 129 R -18 129 R -18 130 R -16 130 R -17 129 R -17 130 R -17 130 R -16 130 R -17 130 R -15 130 R -16 130 R -14 131 R -13 131 R -12 131 R -12 131 R -10 132 R -10 132 R -10 131 R -9 132 R -11 132 R -11 131 R -10 132 R -8 132 R -6 132 R -4 133 R -2 133 R 0 132 R 0 133 R -1 133 R -1 132 R -3 133 R -3 133 R -4 132 R -5 132 R -6 133 R -10 132 R -11 131 R -8 132 R -5 133 R -2 132 R -1 133 R 0 133 R 0 132 R 0 133 R -2 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R 49 -106 R 49 -106 R 52 -101 R 58 -93 R 64 -82 R 69 -69 R 73 -59 R 76 -42 R 79 -34 R 79 -26 R 80 -20 R 80 -14 R 81 -13 R 80 -14 R 81 -15 R 79 -22 R 78 -36 R 76 -48 R 74 -53 R 75 -50 R 75 -47 R 77 -43 R 76 -42 R 77 -43 R 76 -44 R 77 -45 R 75 -45 R 76 -47 R 76 -48 R 75 -50 R 74 -51 R 74 -54 R 74 -52 R 75 -51 R 75 -49 R 76 -46 R 76 -46 R 76 -44 R 77 -41 R 78 -38 R 78 -35 R 78 -31 R 79 -30 R 80 -25 R 79 -24 R 80 -22 R 80 -18 R 80 -15 R 81 -13 R 80 -11 R 81 -9 R 81 -7 R 81 -5 R 81 -3 R 80 -3 R 81 -1 R 81 -1 R 81 0 R 81 0 R 81 0 R 81 -1 R 81 0 R 80 -1 R 81 -2 R 81 -2 R 81 -3 R 81 -4 R 81 -4 R 80 -8 R 81 -10 R 81 -9 R 80 -6 R 81 -3 R 81 -2 R 81 1 R 81 2 R 81 1 R 81 0 R 81 0 R 80 1 R 81 1 R 81 2 R 81 2 R 81 3 R 81 3 R 81 3 R 80 4 R 81 4 R 81 4 R 81 4 R 81 5 R 81 5 R 80 4 R 81 5 R 81 5 R 81 6 R 81 5 R 80 5 R 81 5 R 81 4 R 81 5 R 81 4 R 80 4 R 34 1 R D 14868 12337 M -34 -2 R -81 -5 R -80 -5 R -81 -5 R -81 -5 R -81 -5 R -81 -6 R -81 -5 R -81 -5 R -81 -6 R -81 -5 R -81 -5 R -81 -5 R -80 -4 R -81 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130 R -17 130 R -15 131 R -15 130 R -16 131 R -16 130 R -14 131 R -14 131 R -14 131 R -13 131 R -14 131 R -12 132 R -13 131 R -13 131 R -13 131 R -12 132 R -12 132 R -10 131 R -9 133 R -8 132 R -7 132 R -5 133 R -4 133 R -4 133 R -3 132 R -2 133 R -2 133 R -2 133 R -1 133 R -3 133 R -2 133 R -3 133 R -4 133 R -5 132 R -6 133 R -7 132 R -9 133 R -11 131 R -9 132 R -6 133 R -4 133 R -3 133 R -3 133 R -4 132 R -4 133 R -3 133 R -2 133 R -2 133 R -1 133 R 0 133 R 1 133 R 3 133 R 3 132 R 4 133 R 4 133 R 5 133 R 4 133 R 4 132 R 1 133 R 0 133 R -3 124 R D gsave 5852 23581 translate 0 0 M -89.2086 rotate 1.125 dup scale -493.889 0 N (0.4) show grestore 5919 25190 M 2 -47 R 4 -125 R 2 -125 R 2 -125 R D gsave 9296 12956 translate 0 0 M -31.2517 rotate 1.125 dup scale -493.889 0 N (0.4) show grestore 5955 22398 M 8 -132 R 8 -132 R 9 -132 R 7 -132 R 6 -132 R 4 -133 R 4 -132 R 4 -133 R 2 -133 R 3 -132 R 2 -133 R 3 -132 R 3 -133 R 3 -133 R 4 -132 R 5 -133 R 6 -132 R 7 -132 R 7 -132 R 9 -132 R 10 -132 R 11 -131 R 12 -132 R 12 -131 R 13 -131 R 14 -130 R 14 -131 R 13 -131 R 14 -131 R 13 -130 R 13 -131 R 13 -131 R 13 -131 R 13 -131 R 14 -131 R 15 -130 R 13 -131 R 15 -131 R 15 -130 R 16 -130 R 17 -130 R 18 -129 R 20 -129 R 19 -129 R 20 -128 R 22 -128 R 22 -128 R 24 -126 R 26 -126 R 26 -125 R 27 -126 R 29 -124 R 31 -122 R 33 -121 R 35 -120 R 38 -117 R 43 -113 R 46 -108 R 49 -105 R 54 -100 R 58 -93 R 57 -92 R 59 -91 R 62 -86 R 64 -81 R 63 -84 R 67 -74 R 73 -58 R 76 -44 R 79 -30 R 80 -20 R 80 -16 R 80 -11 R 81 -10 R 80 -11 R 81 -16 R 79 -24 R 78 -35 R 76 -47 R 74 -54 R 74 -53 R 74 -52 R 75 -49 R 75 -49 R D 10019 12690 M 79 -27 R 79 -23 R 79 -21 R 80 -19 R 80 -15 R 80 -13 R 80 -11 R 80 -9 R 81 -7 R 80 -6 R 80 -4 R 81 -3 R 80 -2 R 81 -2 R 80 -1 R 81 -1 R 80 -1 R 80 0 R 81 -3 R 80 -4 R 81 -3 R 80 -6 R 80 -14 R 80 -18 R 79 -18 R 81 -6 R 80 1 R 80 2 R 81 1 R 80 3 R 81 5 R 80 1 R 81 -2 R 80 -2 R 80 0 R 81 0 R 80 0 R 81 2 R 80 1 R 80 2 R 81 3 R 80 3 R 81 3 R 80 4 R 80 4 R 81 4 R 80 4 R 81 5 R 80 5 R 80 5 R 81 5 R 80 5 R 80 6 R 81 5 R 80 6 R 81 5 R 80 6 R 80 5 R 81 6 R 80 5 R 33 2 R D L0 14868 11342 M -34 0 R -81 -1 R -81 -2 R -80 -2 R -81 -3 R -81 -3 R -81 -3 R -81 -4 R -81 -4 R -81 -4 R -81 -3 R -81 -5 R -81 -4 R -81 -4 R -81 -4 R -81 -4 R -80 -4 R -81 -4 R -81 -3 R -81 -4 R -81 -3 R -81 -2 R -81 -3 R -81 -2 R -81 -1 R -81 0 R -81 -1 R -81 -4 R -81 -7 R -81 -6 R -80 -1 R -81 4 R -81 5 R -81 6 R -81 7 R -81 7 R -81 5 R -81 5 R -81 4 R -80 3 R -81 3 R -81 1 R -81 1 R -81 0 R -81 0 R -81 0 R -81 0 R -81 1 R -81 0 R -81 1 R -81 3 R -81 3 R -81 4 R -81 6 R -80 8 R -81 9 R -81 12 R -80 14 R -81 16 R -80 19 R -80 21 R -79 24 R -80 27 R -79 30 R -78 32 R -78 36 R -78 38 R -77 39 R -77 41 R -77 43 R -76 45 R -76 46 R -76 46 R -76 45 R -76 44 R -77 42 R -77 41 R -78 39 R -77 38 R -78 36 R -78 34 R -79 32 R -79 31 R -78 30 R -79 30 R -79 32 R -78 33 R -78 36 R -77 41 R -77 44 R -76 44 R -77 43 R -78 36 R -78 31 R -79 31 R -79 31 R -78 37 R -76 43 R -77 40 R -75 52 R -72 62 R -68 71 R -63 84 R -62 87 R -56 94 R -51 104 R -47 108 R -45 111 R -42 113 R -41 115 R -43 113 R -43 112 R -45 111 R -49 106 R -46 109 R -46 109 R -50 106 R -47 107 R -47 109 R -44 111 R -40 116 R -35 120 R -27 126 R -22 128 R -21 128 R -19 129 R -14 131 R -14 132 R -26 126 R -30 123 R -29 124 R -26 126 R -22 128 R -21 128 R -30 123 R -34 122 R -28 124 R -24 128 R -37 115 R -86 36 R -71 -61 R -63 -88 R -36 -110 R -6 -141 R -10 -135 R -15 -128 R -13 -130 R -10 -132 R -7 -134 R -6 -132 R -4 -133 R -3 -132 R 0 -133 R 1 -133 R 2 -133 R 1 -133 R 1 -133 R -2 -133 R -5 -133 R -6 -132 R -8 -133 R -7 -132 R -7 -132 R -4 -133 R -1 -133 R 2 -133 R 5 -133 R 8 -132 R 10 -132 R 10 -132 R 9 -132 R 9 -132 R 8 -132 R 8 -133 R 9 -132 R 10 -132 R 11 -131 R 15 -131 R 18 -130 R 20 -128 R 24 -127 R 28 -125 R 28 -125 R 29 -124 R 31 -123 R 31 -123 R 31 -122 R 31 -123 R 33 -121 R 34 -121 R 34 -121 R 35 -120 R 37 -118 R 39 -116 R 40 -116 R 41 -115 R 43 -113 R 44 -111 R 44 -112 R 45 -110 R 46 -110 R 46 -109 R 47 -108 R 48 -107 R 49 -106 R 50 -105 R 50 -104 R 51 -103 R 52 -102 R 52 -102 R 52 -101 R 53 -101 R 53 -101 R 52 -101 R 52 -102 R 52 -103 R 51 -102 R 51 -104 R 50 -105 R 47 -107 R 49 -107 R 47 -108 R 46 -109 R 45 -110 R 45 -111 R 45 -111 R 44 -111 R 43 -113 R 42 -113 R 42 -114 R 40 -116 R 40 -116 R 38 -117 R 36 -119 R 35 -120 R 33 -121 R 31 -123 R 27 -125 R 25 -126 R 26 -126 R 24 -127 R 23 -128 R 22 -128 R 21 -128 R 21 -129 R 22 -127 R 25 -127 R 24 -127 R 26 -126 R 27 -125 R 29 -125 R 28 -124 R 28 -125 R 25 -126 R 24 -127 R 23 -128 R 22 -128 R 20 -128 R 19 -130 R 18 -129 R 4 -29 R D 8364 2820 M -4 28 R -18 129 R -18 129 R -18 129 R -20 129 R -20 128 R -22 128 R -23 127 R -24 126 R -25 126 R -27 125 R -29 124 R -28 123 R -28 125 R -27 125 R -26 125 R -26 126 R -24 126 R -23 127 R -23 127 R -25 126 R -25 126 R -26 126 R -25 125 R -28 125 R -30 123 R -32 121 R -33 121 R -35 120 R -36 118 R -38 117 R -38 117 R -39 116 R -41 114 R -42 114 R -43 112 R -43 112 R -44 111 R -44 111 R -44 111 R -45 110 R -44 111 R -44 111 R -46 108 R -46 110 R -46 109 R -48 105 R -48 107 R -49 105 R -51 103 R -50 104 R -52 101 R -52 101 R -52 102 R -52 101 R -50 104 R -51 103 R -50 104 R -47 107 R -47 109 R -47 107 R -46 108 R -46 110 R -45 110 R -45 110 R -43 111 R -46 109 R -45 110 R -40 115 R -41 115 R -40 115 R -36 118 R -36 119 R -34 120 R -34 120 R -31 122 R -31 123 R -30 123 R -29 123 R -26 125 R -25 126 R -24 127 R -23 127 R -19 129 R -16 130 R -13 131 R -11 131 R -8 132 R -8 132 R -7 131 R -8 132 R -6 133 R -5 132 R -2 132 R 2 133 R 7 132 R 13 131 R 19 129 R 23 126 R 26 127 R 28 126 R 29 117 R 28 114 R 20 143 R 76 -70 R 66 -42 R 45 -107 R 47 -117 R 44 -108 R 31 -124 R 38 -117 R 47 -107 R 49 -106 R 49 -104 R 51 -104 R 51 -102 R 52 -101 R 49 -106 R 50 -104 R 50 -103 R 44 -112 R 44 -111 R 47 -108 R 48 -106 R 52 -100 R 57 -96 R 58 -91 R 61 -88 R 64 -81 R 68 -70 R 71 -64 R 70 -65 R 75 -48 R 77 -43 R 77 -39 R 77 -36 R 78 -35 R 78 -36 R 76 -43 R 76 -43 R 78 -38 R 78 -34 R 78 -30 R 79 -28 R 79 -26 R 80 -24 R 79 -24 R 79 -24 R 80 -25 R 79 -26 R 79 -28 R 78 -29 R 79 -31 R 78 -33 R 78 -35 R 77 -37 R 77 -39 R 77 -43 R 76 -42 R 77 -42 R 77 -40 R 77 -39 R 77 -38 R 78 -35 R 78 -34 R 78 -34 R 78 -30 R 79 -28 R 79 -25 R 80 -23 R 80 -20 R 80 -18 R 80 -15 R 80 -13 R 80 -11 R 81 -9 R 81 -8 R 80 -5 R 81 -5 R 80 -3 R 81 -2 R 81 -1 R 80 -1 R 81 0 R 81 -1 R 81 0 R 80 0 R 81 -1 R 81 -1 R 80 -2 R 81 -2 R 81 -4 R 80 -5 R 81 -5 R 80 -7 R 81 -7 R 80 -9 R 81 -8 R 81 -4 R 80 -3 R 81 -2 R 81 4 R 80 8 R 81 8 R 80 4 R 81 -1 R 81 0 R 80 1 R 81 2 R 81 3 R 80 2 R 81 3 R 81 4 R 80 3 R 81 4 R 81 3 R 80 4 R 81 4 R 81 4 R 80 4 R 81 3 R 81 4 R 80 3 R 81 3 R 81 3 R 80 2 R 81 3 R 81 1 R 80 2 R 81 1 R 81 0 R 33 0 R D gsave 13736 10020 translate 0 0 M 0.304089 rotate 1.125 dup scale -587.869 0 N (-0.5) show grestore 14868 10127 M -23 2 R -70 4 R -71 3 R -70 3 R -71 2 R D gsave 8317 5814 translate 0 0 M -77.6519 rotate 1.125 dup scale -587.869 0 N (-0.5) show grestore 12908 10122 M -80 0 R -80 -1 R -81 1 R -80 -1 R -81 -10 R -80 -11 R -80 -2 R -81 1 R -80 -1 R -81 1 R -80 1 R -81 4 R -80 11 R -80 13 R -80 12 R -80 10 R -80 8 R -81 7 R -80 5 R -80 4 R -81 2 R -80 1 R -81 0 R -80 0 R -81 -1 R -80 -2 R -81 -2 R -80 -2 R -81 -2 R -80 -1 R -80 -1 R -81 -1 R -80 0 R -81 1 R -80 1 R -81 3 R -80 3 R -80 4 R -81 7 R -80 7 R -80 9 R -81 9 R -80 11 R -80 11 R -80 12 R -80 12 R -80 13 R -80 12 R -81 12 R -80 11 R -80 10 R -80 9 R -81 8 R -80 5 R -80 4 R -81 0 R -80 -4 R -81 -8 R -80 -14 R -79 -22 R -78 -31 R -77 -41 R -73 -55 R -67 -72 R -55 -97 R -45 -111 R -35 -119 R -17 -130 R -2 -134 R 8 -131 R 16 -130 R 23 -126 R 24 -127 R 22 -126 R 26 -125 R 26 -126 R 23 -126 R 22 -127 R 22 -127 R 21 -128 R 22 -127 R 24 -126 R 27 -124 R 29 -124 R 28 -124 R 27 -124 R 29 -123 R 29 -124 R D 8652 4553 M 23 -122 R 24 -122 R 24 -122 R 22 -124 R 23 -122 R 23 -123 R 21 -123 R 21 -124 R 21 -123 R 21 -124 R 23 -123 R 24 -122 R 26 -120 R 28 -120 R 4 -19 R D 8546 2820 M -4 28 R -21 129 R -19 129 R -19 129 R -18 130 R -19 129 R -19 129 R -20 129 R -22 128 R -24 127 R -23 127 R -26 126 R -27 126 R -29 124 R -28 125 R -28 124 R -28 125 R -28 125 R -28 124 R -27 126 R -25 126 R -26 127 R -26 125 R -28 125 R -28 125 R -27 125 R -30 124 R -31 123 R -33 121 R -33 121 R -34 121 R -36 120 R -36 119 R -37 117 R -39 117 R -39 117 R -40 115 R -41 115 R -40 116 R -41 114 R -41 115 R -39 117 R -40 115 R -40 116 R -39 117 R -38 116 R -42 115 R -43 112 R -45 111 R -47 108 R -49 106 R -49 105 R -52 102 R -52 103 R -50 104 R -51 103 R -51 103 R -50 106 R -46 109 R -44 112 R -43 113 R -42 113 R -41 115 R -42 113 R -42 115 R -40 114 R -45 112 R -40 115 R -42 114 R -53 100 R -63 85 R -52 100 R -40 118 R -38 117 R -35 120 R -32 123 R -30 123 R -23 127 R -10 132 R -7 133 R -10 132 R -14 131 R -18 130 R -24 126 R -30 124 R -31 123 R -21 129 R -13 127 R -6 133 R 8 146 R 53 65 R 84 -54 R 58 -98 R 49 -105 R 62 -86 R 70 -70 R 59 -88 R 72 -63 R 77 -55 R 67 -75 R 47 -108 R 42 -116 R 50 -103 R 64 -82 R 65 -79 R 68 -73 R 68 -71 R 66 -78 R 62 -85 R 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R 27 -125 R 28 -124 R 28 -125 R 28 -124 R 29 -123 R 31 -122 R 33 -121 R 33 -121 R 5 -20 R D 8746 2820 M -4 25 R -22 127 R -22 128 R -20 128 R -20 128 R -19 129 R -19 128 R -18 129 R -20 128 R -21 128 R -23 127 R -24 126 R -25 126 R -26 125 R -26 126 R -26 125 R -26 125 R -27 125 R -28 123 R -29 124 R -30 123 R -29 123 R -29 124 R -27 125 R -28 124 R -29 123 R -29 123 R -29 124 R -29 123 R -31 122 R -32 122 R -32 122 R -32 121 R -33 121 R -33 121 R -34 119 R -36 119 R -35 119 R -34 120 R -36 118 R -35 120 R -32 121 R -34 120 R -32 121 R -30 123 R -32 122 R -33 120 R -35 119 R -38 118 R -38 116 R -37 117 R -41 115 R -39 115 R -36 119 R -41 113 R -37 118 R -32 122 R -36 118 R -32 119 R -23 128 R -19 135 R -6 134 R 22 121 R 50 105 R 56 100 R 65 74 R 75 50 R 75 47 R 77 38 R 79 31 R 79 27 R 79 23 R 80 20 R 80 17 R 80 12 R 80 8 R 81 5 R 81 0 R 80 -7 R 80 -11 R 80 -23 R 79 -26 R 79 -25 R 79 -26 R 79 -26 R 79 -26 R 79 -25 R 79 -26 R 79 -26 R 79 -25 R 79 -25 R 80 -25 R 79 -26 R 79 -24 R 79 -22 R 80 -21 R 80 -19 R 79 -18 R 80 -15 R 81 -13 R 80 -12 R 80 -10 R 81 -9 R 80 -7 R 81 -6 R 80 -5 R 81 -3 R 80 -3 R 81 -1 R 80 -1 R 81 0 R 81 0 R 80 1 R 81 0 R 80 0 R 81 0 R 81 -1 R 80 -1 R 81 -3 R 80 -3 R 81 -5 R 80 -6 R 81 -8 R 80 -9 R 80 -11 R 81 -10 R 80 -10 R 81 -7 R 80 -1 R 81 0 R 80 -3 R 81 1 R 80 10 R 81 9 R 80 5 R 81 1 R 80 0 R 81 0 R 81 0 R 80 -1 R 81 2 R 80 2 R 81 3 R 80 3 R 81 4 R 81 3 R 80 3 R 81 3 R 80 3 R 81 3 R 80 2 R 81 3 R 81 2 R 80 1 R 81 2 R 80 1 R 81 0 R 80 0 R 81 -1 R 81 -1 R 80 -2 R 81 -2 R 33 -2 R D 14868 9366 M -33 4 R -81 8 R -80 8 R -81 7 R -81 6 R -80 6 R -81 5 R -81 4 R -80 4 R -81 3 R -81 2 R -81 2 R -80 1 R -81 1 R -81 0 R -80 0 R -81 -1 R -81 -1 R -81 -1 R -80 1 R -81 2 R -81 2 R -81 3 R -80 3 R -81 1 R -81 1 R -80 -1 R -81 1 R -81 1 R -81 -5 R -80 -7 R -81 -3 R -81 -1 R -80 -1 R -81 -2 R -81 -1 R -81 -1 R -80 -1 R -81 2 R -81 8 R -80 12 R -80 11 R -81 10 R -81 7 R -80 5 R -81 2 R -81 1 R -80 -2 R -81 -4 R -81 -6 R -80 -7 R -81 -8 R -81 -10 R -80 -10 R -80 -12 R -81 -12 R -80 -13 R -81 -12 R -80 -13 R -80 -12 R -81 -13 R -80 -13 R -80 -13 R -81 -15 R -80 -17 R -80 -18 R -79 -20 R -80 -25 R -78 -29 R -78 -34 R -78 -39 R -76 -45 R -74 -51 R -73 -58 R -68 -72 R -62 -85 R -58 -93 R -51 -102 R -38 -116 R -28 -127 R -23 -128 R -18 -129 R -9 -131 R -5 -132 R -4 -133 R 0 -133 R 10 -132 R 14 -130 R 14 -131 R 17 -129 R 21 -128 R 21 -128 R 22 -128 R 23 -127 R 21 -128 R 19 -129 R 19 -129 R 19 -128 R 19 -129 R 19 -129 R 20 -129 R 21 -127 R 23 -127 R 23 -128 R 23 -126 R 24 -127 R 26 -126 R 28 -124 R 27 -125 R 28 -124 R 28 -124 R 29 -124 R 30 -123 R 30 -124 R 29 -123 R 31 -123 R 31 -122 R 32 -122 R 32 -121 R 34 -121 R 34 -120 R 36 -119 R 39 -115 R 46 -109 R 1 -4 R D 10133 2820 M -14 12 R -70 65 R -68 72 R -65 77 R -61 88 R -54 99 R -47 107 R -40 115 R -36 119 R -36 118 R -36 118 R -36 119 R -34 120 R -33 120 R -33 121 R -31 122 R -30 123 R -28 125 R -27 124 R -27 125 R -26 125 R -26 125 R -25 126 R -25 125 R -25 126 R -25 126 R -23 127 R -22 127 R -20 129 R -18 128 R -17 130 R -15 130 R -15 130 R -12 131 R -9 131 R -5 132 R -4 133 R 1 132 R 4 132 R 7 132 R 14 130 R 22 128 R 30 123 R 35 119 R 42 113 R 53 101 R 57 93 R 62 86 R 67 72 R 70 66 R 72 61 R 74 53 R 76 44 R 77 38 R 78 35 R 78 31 R 78 29 R 79 26 R 80 25 R 79 23 R 79 22 R 80 21 R 80 19 R 80 17 R 80 17 R 80 15 R 80 13 R 80 12 R 80 9 R 81 7 R 80 5 R 81 2 R 81 -1 R 80 -2 R 81 -4 R 80 -7 R 81 -7 R 80 -2 R 81 3 R 80 3 R 81 2 R 80 3 R 81 2 R 81 2 R 80 2 R 81 2 R 80 3 R 81 3 R 80 1 R 81 0 R 81 0 R 80 0 R 81 -1 R 80 -2 R 81 -3 R 80 -4 R 81 -4 R 81 -4 R 80 -4 R 81 -2 R 80 -1 R 81 -2 R 80 -1 R 81 -2 R 80 -3 R 81 -4 R 81 -4 R 80 -4 R 81 -6 R 80 -6 R 81 -6 R 80 -8 R 81 -7 R 80 -9 R 80 -8 R 81 -10 R 80 -10 R 33 -5 R D gsave 13730 7855 translate 0 0 M -9.8476 rotate 1.125 dup scale -587.869 0 N (-1.0) show grestore 14868 7648 M -22 15 R -69 42 R -70 37 R -72 30 R -72 26 R D 12917 8060 M -81 3 R -80 1 R -81 1 R -80 0 R -81 0 R -80 0 R -81 -2 R -80 -3 R -81 -3 R -80 -5 R -81 -5 R -80 -6 R -81 -8 R -80 -9 R -80 -10 R -81 -12 R -80 -12 R -80 -14 R -80 -18 R -79 -26 R -77 -36 R -77 -42 R -76 -42 R -77 -40 R -77 -36 R -77 -42 R -75 -46 R -74 -51 R -74 -55 R -72 -57 R -70 -66 R -66 -76 R -64 -81 R -62 -85 R -54 -97 R -48 -107 R -45 -109 R -37 -118 R -29 -124 R -21 -128 R -18 -129 R -13 -130 R -9 -132 R -4 -132 R -1 -132 R 3 -132 R 6 -132 R 10 -132 R 15 -130 R 18 -128 R 19 -129 R 25 -126 R 30 -123 R 34 -119 R 36 -119 R 39 -116 R 44 -110 R 46 -109 R 49 -106 R 51 -101 R 55 -98 R 63 -81 R 68 -71 R 68 -70 R 69 -71 R 70 -64 R 71 -63 R 71 -62 R 72 -57 R 74 -54 R 74 -54 R 74 -49 R 75 -48 R 76 -45 R 76 -43 R 77 -41 R 77 -36 R 79 -32 R 78 -28 R 79 -25 R 80 -23 R 79 -20 R 80 -18 R 80 -15 R 80 -12 R 81 -10 R 80 -7 R 81 -4 R 80 -1 R 81 2 R 80 4 R 81 8 R 80 10 R 80 13 R 80 15 R 80 18 R 79 21 R 80 23 R 79 26 R 78 29 R 78 32 R 78 37 R 77 39 R 76 42 R 76 44 R 76 45 R 75 47 R 75 50 R 73 56 R 72 57 R 72 59 R 72 60 R 71 63 R 68 70 R 68 71 R 68 71 R 67 73 R 64 81 R 63 82 R 16 20 R D 14868 3328 M -18 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-115 R 42 -112 R 42 -113 R 44 -111 R 50 -103 R 62 -86 R 66 -76 R 69 -70 R 71 -63 R 73 -56 R 73 -56 R 72 -57 R 73 -59 R 73 -56 R 73 -56 R 73 -55 R 73 -55 R 2 -2 R D 11508 3851 M -75 52 R -72 58 R -72 61 R -73 57 R -73 56 R -69 68 R -63 82 R -61 88 R -58 92 R -51 103 R -50 106 R -44 110 R -35 119 R -34 121 R -29 123 R -20 129 R -12 131 R -6 133 R 2 133 R 10 132 R 18 129 R 26 125 R 33 121 R 37 118 R 47 108 R 54 100 R 58 93 R 65 78 R 58 91 R 55 97 R 62 85 R 60 92 R 65 74 R 75 51 R 77 41 R 79 24 R 81 11 R 81 3 R 80 -2 R 81 -3 R 81 -1 R 81 2 R 80 7 R 81 12 R 80 14 R 80 12 R 81 8 R 81 2 R 80 1 R 81 4 R 81 3 R 80 -6 R 81 -10 R 80 -12 R 80 -18 R 80 -18 R 80 -14 R 81 -7 R 81 -1 R 81 2 R 80 3 R 81 2 R 81 -4 R 80 -13 R 79 -24 R 80 -26 R 78 -33 R 77 -37 R 77 -41 R 76 -46 R 75 -50 R 73 -56 R 70 -65 R 63 -82 R 63 -87 R 56 -93 R 44 -112 R 40 -115 R 33 -121 R 20 -128 R 11 -133 R 2 -132 R -5 -133 R -12 -131 R -20 -129 R -28 -124 R -32 -122 R -33 -121 R -42 -113 R -47 -108 R -49 -106 R -56 -95 R -58 -93 R -58 -91 R -65 -80 R -65 -79 R -65 -79 R -68 -72 R -71 -63 R -71 -63 R -71 -62 R -72 -58 R -75 -51 R -75 -47 R -76 -46 R -76 -44 R -77 -42 R -77 -39 R -78 -36 R -78 -31 R -79 -29 R -79 -26 R -80 -21 R -80 -15 R -81 -10 R -80 -6 R -81 -1 R -81 2 R -80 4 R -81 9 R -80 14 R -80 20 R -79 26 R -79 29 R -79 31 R -77 36 R -77 39 R -77 41 R -76 44 R -76 46 R -75 48 R D 12032 4706 M -67 76 R -34 114 R -25 131 R -10 123 R 26 133 R 34 112 R 67 76 R 71 69 R 67 70 R 71 65 R 74 51 R 78 32 R 80 24 R 80 16 R 80 -11 R 81 -18 R 80 -10 R 79 -24 R 77 -46 R 72 -59 R 68 -72 R 65 -79 R 67 -74 R 58 -88 R 29 -128 R 4 -144 R -19 -136 R -44 -109 R -64 -79 R -68 -72 R -70 -66 R -74 -53 R -78 -36 R -80 -22 R -80 -12 R -81 -6 R -81 -1 R -80 5 R -81 11 R -80 18 R -78 32 R -74 54 R -71 64 R -69 69 R D 8360 16930 M D %%-22 137 R -63 124 R -98 98 R -124 63 R -137 22 R D %CAG gsave 0 0 translate 5000 4000 M 1.5 dup scale 0 0 N /Times-Bold findfont 764.444 scalefont setfont (a\)) show grestore 4440 25190 M %CAG showpage end restore %CAG restore @endspecial 3870 156 a gsave currentpoint currentpoint translate 90 rotate neg exch neg exch translate 3870 145 a 3866 x @beginspecial 20 @llx 20 @lly 570 @urx 770 @ury 3401 @rwi @setspecial % 26 714 translate -90 rotate .7 .7 scale /Boxd { /yc2 exch def /xc2 exch def /yc1 exch def /xc1 exch def newpath xc1 yc1 moveto xc2 yc1 lineto xc2 yc2 lineto xc1 yc2 lineto closepath } bind def /Logo { /yy exch def /xx exch def /Times-Roman findfont 9 scalefont setfont /lwi (BALSAC plot) stringwidth pop 4 add def newpath xx yy moveto 90 rotate lwi 0 rlineto 0 10 rlineto lwi neg 0 rlineto -90 rotate closepath 1 setgray fill 0 setgray xx 2 sub yy 2 add moveto 90 rotate (BALSAC plot) show -90 rotate 2 xx sub -2 yy sub moveto } bind def /COcir { setrgbcolor 0.25 setlinewidth newpath 0 360 arc closepath stroke } bind def /CFcir { setrgbcolor 0.25 setlinewidth newpath 0 360 arc closepath gsave fill grestore Rol Gol Bol setrgbcolor stroke } bind def /CBall { /incol exch nos1 mul def /radius exch def /y0 exch def /x0 exch def x0 y0 translate phi rotate 0 radius Cel /shift0 ey radius mul def /i 0 def 1. ez div 1. scale /radiz radius ez mul def nosh {/incol incol 1 add def alp i get shift0 mul bet i get radiz mul Cel /i i 1 add def} repeat ez 1. scale 0 0 radius Rol Gol Bol COcir phi neg rotate x0 neg y0 neg translate} bind def /Cel { /rady exch def /yy0 exch def 0 yy0 translate newpath cRA incol get cGA incol get cBA incol get setrgbcolor 0 0 rady 0 360 arc closepath fill 0 yy0 neg translate } bind def /Lite { /phi exch def /ez exch def /ey exch def } bind def /Coldef { /qgam exch def /qmax exch def /qmin exch def /clB exch def /clG exch def /clR exch def /qint clR clG clB add add 3 div def qint 0 eq { /qint 1 def /pint 1 def } { /pint 1 1 qint sub div def } ifelse /aaR clR qint sub pint mul def /bbR 1 clR sub pint mul def /aaG clG qint sub pint mul def /bbG 1 clG sub pint mul def /aaB clB qint sub pint mul def /bbB 1 clB sub pint mul def /dqq qmax qmin sub def /qq qmin dqq sub def /kk 0 def nos1 { /qq qmin kk nosh div qgam exp dqq mul add def qq qint lt {cRA ii clR qq mul qint div put cGA ii clG qq mul qint div put cBA ii clB qq mul qint div put } {cRA ii aaR bbR qq mul add put cGA ii aaG bbG qq mul add put cBA ii aaB bbB qq mul add put } ifelse /ii ii 1 add def /kk kk 1 add def} repeat} bind def /nosh 25 def /ncol 3 def /nos1 nosh 1 add def /cRA nos1 ncol mul array def /cGA nos1 ncol mul array def /cBA nos1 ncol mul array def /ii 0 def .971 .971 .971 .250 .885 1.000 Coldef .795 .795 .795 .400 .900 1.000 Coldef .891 .891 .891 .765 .990 1.000 Coldef /alp nosh array def /bet nosh array def /i 0 def /j 0 def nosh { alp i j nosh div put bet i 1 j nosh div dup mul sub abs sqrt put /i i 1 add def /j j 1 add def } repeat % 20 20 570 770 Boxd .759 .765 .868 setrgbcolor fill % 20 20 570 770 Boxd 0 setgray stroke 20 20 570 770 Boxd clip % 53 45 {dup mul exch dup mul add 1. exch sub } setscreen /Rol .000 def /Gol .000 def /Bol .000 def /Rbd .000 def /Gbd .000 def /Bbd .000 def .7660 .6428 125.00 Lite 348.86 360.00 30.50 0 CBall % 1 348.86 421.00 30.50 0 CBall % 2 348.86 482.00 30.50 0 CBall % 3 368.87 485.59 32.30 0 CBall % 6 368.87 421.00 32.30 0 CBall % 5 368.87 356.41 32.30 0 CBall % 4 370.04 387.64 9.10 1 CBall % 22 370.04 454.36 9.10 1 CBall % 17 346.93 400.51 9.15 1 CBall % 21 346.93 441.49 9.15 1 CBall % 16 299.86 431.70 9.26 1 CBall % 15 299.86 410.30 9.26 1 CBall % 20 391.39 352.36 34.32 0 CBall % 7 391.39 489.64 34.32 0 CBall % 9 391.39 421.00 34.32 0 CBall % 8 251.64 430.45 9.38 1 CBall % 14 251.64 411.55 9.38 1 CBall % 19 202.22 430.19 9.49 1 CBall % 13 202.22 411.81 9.49 1 CBall % 18 416.92 494.23 36.61 0 CBall % 12 416.92 421.00 36.61 0 CBall % 11 416.92 347.77 36.61 0 CBall % 10 /#copies 1 def showpage @endspecial 3870 2991 a currentpoint grestore moveto 3870 2991 a Black 2072 1881 14 780 v 2079 1881 a Fe(?)p Black 1682 971 a Fd( )-65 b(\000)1992 988 y Fc(d)2150 971 y Fd(\000)g(!)1458 989 y(")1475 1098 y(j)1475 1217 y(j)1434 1464 y Fc(Z)1475 1662 y Fd(j)1475 1780 y(j)1458 1889 y(#)p Black 2020 1101 a Fb(.)2020 1104 y(.)2020 1108 y(.)2020 1111 y(.)2020 1114 y(.)2020 1117 y(.)2020 1121 y(.)2020 1124 y(.)2020 1127 y(.)2020 1131 y(.)2019 1134 y(.)2019 1137 y(.)2019 1141 y(.)2019 1144 y(.)2019 1147 y(.)2019 1150 y(.)2019 1154 y(.)2019 1157 y(.)2019 1160 y(.)2019 1164 y(.)2019 1167 y(.)2019 1170 y(.)2019 1174 y(.)2019 1177 y(.)2019 1180 y(.)2019 1184 y(.)2019 1187 y(.)2018 1190 y(.)2018 1194 y(.)2018 1197 y(.)2018 1200 y(.)2018 1204 y(.)2018 1207 y(.)2018 1210 y(.)2018 1213 y(.)2018 1217 y(.)2018 1220 y(.)2018 1223 y(.)2018 1227 y(.)2018 1230 y(.)2018 1233 y(.)2018 1237 y(.)2017 1240 y(.)2017 1243 y(.)2017 1247 y(.)2017 1250 y(.)2017 1253 y(.)2017 1257 y(.)2017 1260 y(.)2017 1263 y(.)2017 1267 y(.)2017 1270 y(.)2017 1273 y(.)2017 1277 y(.)2017 1280 y(.)2017 1283 y(.)2016 1287 y(.)2016 1290 y(.)2016 1293 y(.)2016 1297 y(.)2016 1300 y(.)2016 1303 y(.)2016 1307 y(.)2016 1310 y(.)2016 1313 y(.)2016 1317 y(.)2016 1320 y(.)2016 1323 y(.)2016 1327 y(.)2015 1330 y(.)2015 1333 y(.)2015 1337 y(.)2015 1340 y(.)2015 1343 y(.)2015 1347 y(.)2015 1350 y(.)2015 1353 y(.)2015 1357 y(.)2015 1360 y(.)2015 1363 y(.)2015 1367 y(.)2015 1370 y(.)2014 1373 y(.)2014 1377 y(.)2014 1380 y(.)2014 1383 y(.)2014 1387 y(.)2014 1390 y(.)2014 1393 y(.)2014 1397 y(.)2014 1400 y(.)2014 1403 y(.)2014 1407 y(.)2014 1410 y(.)2013 1413 y(.)2013 1417 y(.)2013 1420 y(.)2013 1423 y(.)2013 1427 y(.)2013 1430 y(.)2013 1433 y(.)2013 1437 y(.)2013 1440 y(.)2013 1443 y(.)2013 1447 y(.)2012 1450 y(.)2012 1453 y(.)2012 1457 y(.)2012 1460 y(.)2012 1463 y(.)2012 1467 y(.)2012 1470 y(.)2012 1473 y(.)2012 1477 y(.)2012 1480 y(.)2012 1483 y(.)2011 1487 y(.)2011 1490 y(.)2011 1493 y(.)2011 1497 y(.)2011 1500 y(.)2011 1503 y(.)2011 1506 y(.)2011 1510 y(.)2011 1513 y(.)2011 1516 y(.)2011 1520 y(.)2010 1523 y(.)2010 1526 y(.)2010 1530 y(.)2010 1533 y(.)2010 1536 y(.)2010 1540 y(.)2010 1543 y(.)2010 1546 y(.)2010 1550 y(.)2010 1553 y(.)2009 1556 y(.)2009 1559 y(.)2009 1563 y(.)2009 1566 y(.)2009 1569 y(.)2009 1573 y(.)2009 1576 y(.)2009 1579 y(.)2009 1582 y(.)2009 1586 y(.)2008 1589 y(.)2008 1592 y(.)2008 1596 y(.)2008 1599 y(.)2008 1602 y(.)2007 1606 y(.)2007 1609 y(.)2007 1612 y(.)2006 1615 y(.)2006 1619 y(.)2006 1622 y(.)2005 1625 y(.)2005 1629 y(.)2004 1632 y(.)2004 1635 y(.)2003 1639 y(.)2003 1642 y(.)2003 1645 y(.)2002 1648 y(.)2002 1652 y(.)2001 1655 y(.)2001 1658 y(.)2000 1662 y(.)2000 1665 y(.)1999 1668 y(.)1999 1671 y(.)1998 1675 y(.)1998 1678 y(.)1997 1681 y(.)1997 1685 y(.)1996 1688 y(.)1996 1691 y(.)1995 1694 y(.)1995 1698 y(.)1994 1701 y(.)1994 1704 y(.)1993 1707 y(.)1992 1711 y(.)1992 1714 y(.)1991 1717 y(.)1991 1721 y(.)1990 1724 y(.)1989 1727 y(.)1989 1730 y(.)1988 1734 y(.)1988 1737 y(.)1987 1740 y(.)1986 1743 y(.)1986 1747 y(.)1985 1750 y(.)1984 1753 y(.)1984 1756 y(.)1983 1760 y(.)1982 1763 y(.)1982 1766 y(.)1981 1769 y(.)1980 1773 y(.)1980 1776 y(.)1979 1779 y(.)1978 1782 y(.)1977 1786 y(.)1977 1789 y(.)1976 1792 y(.)1975 1795 y(.)1974 1799 y(.)1974 1802 y(.)1973 1805 y(.)1972 1808 y(.)1971 1811 y(.)1970 1815 y(.)1970 1818 y(.)1969 1821 y(.)1968 1824 y(.)1967 1828 y(.)1966 1831 y(.)1966 1833 y(.)1964 1836 y(.)1963 1839 y(.)1961 1842 y(.)1960 1845 y(.)1958 1849 y(.)1957 1852 y(.)1955 1855 y(.)1954 1858 y(.)1952 1861 y(.)1950 1864 y(.)1949 1867 y(.)1947 1870 y(.)1946 1873 y(.)1944 1876 y(.)1943 1879 y(.)1941 1882 y(.)1940 1885 y(.)1938 1888 y(.)1937 1891 y(.)1935 1894 y(.)1934 1897 y(.)1932 1900 y(.)1931 1903 y(.)1929 1906 y(.)1928 1909 y(.)1926 1913 y(.)1925 1916 y(.)1923 1919 y(.)1922 1922 y(.)1920 1925 y(.)1918 1928 y(.)-33 b(.)1919 1925 y(.)1920 1921 y(.)1921 1918 y(.)1921 1915 y(.)1922 1912 y(.)1923 1908 y(.)1924 1905 y(.)1924 1902 y(.)1925 1899 y(.)1926 1895 y(.)1926 1892 y(.)1927 1889 y(.)1928 1886 y(.)1929 1882 y(.)1929 1879 y(.)1930 1876 y(.)1931 1873 y(.)1931 1869 y(.)1932 1866 y(.)1933 1863 y(.)1934 1860 y(.)1934 1856 y(.)1935 1853 y(.)1936 1850 y(.)1936 1847 y(.)1937 1843 y(.)1938 1840 y(.)1939 1837 y(.)1939 1834 y(.)1918 1928 y(.)1921 1925 y(.)1923 1923 y(.)1925 1920 y(.)1927 1918 y(.)1929 1915 y(.)1931 1913 y(.)1934 1910 y(.)1936 1908 y(.)1938 1905 y(.)1940 1903 y(.)1942 1900 y(.)1944 1898 y(.)1947 1895 y(.)1949 1892 y(.)1951 1890 y(.)1953 1887 y(.)1955 1885 y(.)1957 1882 y(.)1960 1880 y(.)1962 1877 y(.)1964 1875 y(.)1966 1872 y(.)1968 1870 y(.)1970 1867 y(.)1972 1865 y(.)1975 1862 y(.)1977 1860 y(.)1979 1857 y(.)1981 1855 y(.)2110 1101 y(.)2110 1104 y(.)2110 1108 y(.)2110 1111 y(.)2110 1114 y(.)2110 1117 y(.)2110 1121 y(.)2110 1124 y(.)2110 1127 y(.)2110 1131 y(.)2110 1134 y(.)2110 1137 y(.)2110 1141 y(.)2111 1144 y(.)2111 1147 y(.)2111 1150 y(.)2111 1154 y(.)2111 1157 y(.)2111 1160 y(.)2111 1164 y(.)2111 1167 y(.)2111 1170 y(.)2111 1174 y(.)2111 1177 y(.)2111 1180 y(.)2111 1184 y(.)2111 1187 y(.)2111 1190 y(.)2111 1194 y(.)2111 1197 y(.)2112 1200 y(.)2112 1204 y(.)2112 1207 y(.)2112 1210 y(.)2112 1213 y(.)2112 1217 y(.)2112 1220 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1998.02.11:1613 /m {moveto} bind def /l {lineto} bind def /RJ { stringwidth neg exch neg exch rmoveto } bind def /CS { stringwidth 2 div neg exch 2 div neg exch rmoveto } bind def /RedAr 256 array def /GreAr 256 array def /BluAr 256 array def /SCR { % Set Color Representation % Stack: Red, Green, Blue, Index /ind exch def BluAr ind 3 2 roll put GreAr ind 3 2 roll put RedAr ind 3 2 roll put } bind def /SCI { % Set Color Index % Stack: index /ind exch def /red RedAr ind get def /gre GreAr ind get def /blu BluAr ind get def red gre blu setrgbcolor} bind def /FSD {findfont exch scalefont def} bind def /S1 0.40 /Courier-Bold FSD /S2 0.60 /Courier-Bold FSD /S3 0.80 /Courier-Bold FSD /F1 {0.40 S1} bind def /F2 {0.60 S2} bind def /F3 {0.80 S3} bind def /BOX { % Clear Background % Stack: dx, dy gsave % saving currentpoint 0 -0.05 rmoveto 0.76 mul 0.05 add % modify rectangle dup neg 3 1 roll 0 exch rlineto 0 rlineto 0 exch rlineto closepath 1.0 setgray fill grestore} bind def /T { % Text % Stack: rel. x pos, string, height, x, y moveto setfont exch dup stringwidth pop dup 5 -1 roll mul neg 0 rmoveto 3 2 roll BOX 0 SCI show} bind def /StackW 1 array def /W {%def copy rel moves starting at [ from stack to StackW ] /StackW exch def % read from stack into StackW StackW aload pop % copy back to stack } bind def /R {%def Read from StackR in inverse order StackR length 2 sub -2 0 % loop parameters {dup StackR exch get neg % get x exch StackR exch 1 add get neg} % get y for } bind def /F {%def take color index, one abs move % and relative moves from stack % and fill SCI % set color index moveto % abs move in cm 0.001 0.001 scale % rel moves in 1/1000 cm count -2 2 { pop rlineto} for closepath fill /StackR StackW def % copy StackW to StackR 1000 1000 scale % back to cm } bind def /L {%def Polyline, similar to F SCI moveto 0.001 0.001 scale count -2 2 { pop rlineto } for stroke 1000 1000 scale } bind def /RS {%def restore save } bind def 0.0000 0.0000 0.0000 0 SCR 0.0000 0.0000 0.0000 1 SCR 0.0000 0.0000 0.0000 2 SCR 0.0000 0.0000 0.0000 3 SCR 0.0000 0.0000 0.0000 4 SCR 0.0000 0.0000 0.0000 5 SCR 0.0000 0.0000 0.0000 6 SCR 0.0000 0.0000 0.0000 7 SCR 0.0000 0.0000 0.0000 8 SCR 0.0000 0.0000 0.0000 9 SCR 0.0000 0.0000 0.0000 10 SCR 0.0000 0.0000 0.0000 11 SCR 0.0000 0.0000 0.0000 12 SCR 0.0000 0.0000 0.0000 13 SCR 0.0000 0.0000 0.0000 14 SCR 0.0000 0.0000 0.0000 15 SCR 0.0000 0.0000 0.0000 16 SCR 0.0000 0.0000 0.0000 17 SCR 0.0000 0.0000 0.0000 18 SCR 0.0000 0.0000 0.0000 19 SCR 0.0000 0.0000 0.0000 20 SCR 0.0000 0.0000 0.0000 21 SCR 0.0000 0.0000 0.0000 22 SCR 0.0000 0.0000 0.0000 23 SCR 0.0000 0.0000 0.0000 24 SCR 0.0000 0.0000 0.0000 25 SCR 0.0000 0.0000 0.0000 26 SCR 0.0000 0.0000 0.0000 27 SCR 0.0000 0.0000 0.0000 28 SCR 0.0000 0.0000 0.0000 29 SCR 0.0000 0.0000 0.0000 30 SCR 0.0000 0.0000 0.0000 31 SCR 0.0000 0.0000 0.0000 32 SCR /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{ /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{ /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0] N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{ 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]} if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{ cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false} ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M} B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{ 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 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FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE7C7C>7 172 108 256 48 106 D E /Fe 1 64 df63 D E end TeXDict begin -10 -35 translate 40. 40. scale % to cm 0.4 5.6 translate 20 setlinewidth -2000 0 0 -2000 2000 0 0 2000 6.000 13.000 0 L 0.001 setlinewidth 6.0 13.0 .25 0 360 arc gsave fill grestore stroke 6.0 15.0 .25 0 360 arc gsave fill grestore stroke 8.0 13.0 .25 0 360 arc gsave fill grestore stroke 8.0 15.0 .25 0 360 arc gsave fill grestore stroke 7.0 14.0 .25 0 360 arc gsave fill grestore stroke 0.01 setlinewidth 1.000000 1.000000 1.000000 setrgbcolor 6.825 14.0 .15 0 360 arc gsave fill grestore stroke 0.000000 0.000000 0.000000 setrgbcolor 6.825 14.0 .15 0 360 arc stroke 1.000000 1.000000 1.000000 setrgbcolor 7.175 14.0 .15 0 360 arc gsave fill grestore stroke 0.000000 0.000000 0.000000 setrgbcolor 7.175 14.0 .15 0 360 arc stroke 1.3 -5.6 translate .025 .025 scale % to cm 1 0 bop -220 5859 a @beginspecial 54 @llx 56 @lly 513 @urx 810 @ury 4535 @rwi @setspecial %+ prolog.ps -- Prolog for IMSL/IDL generated PostScript files %+ Copyright (c) 1988-1991 Research Systems, Inc. All Rights Reserved. %v 2 save /$IDL_DICT 40 dict def $IDL_DICT begin /bdef { bind def } bind def /C {currentpoint newpath moveto} bdef /CP {currentpoint} bdef /D {currentpoint stroke moveto} bdef /F {closepath fill} bdef /K { setgray } bdef /M {moveto} bdef /N {rmoveto} bdef /P {lineto} bdef /R {rlineto} bdef /S {gsave show grestore} bdef /X {currentpoint pop} bdef /Z {gsave currentpoint lineto 20 setlinewidth 1 setlinecap stroke grestore} bdef /L0 {[] 0 setdash} bdef /L1 {[40 100] 0 setdash} bdef /L2 {[200 200] 0 setdash} bdef /L3 {[200 100 50 100] 0 setdash} bdef /L4 {[300 100 50 100 50 100 50 100] 0 setdash} bdef /L5 {[400 200] 0 setdash} bdef /ISOLATIN { currentfont dup length dict begin { 1 index /FID ne {def} {pop pop} ifelse } forall /Encoding ISOLatin1Encoding def currentfont currentdict definefont setfont end } bind def end save $IDL_DICT begin 54 56 translate 0.0283465 dup scale /Helvetica findfont 564.444 scalefont setfont 0.9275 0.9275 scale 0.000 K gsave 7054 25507 translate 0 0 M 1.875 dup scale -383.822 0 N /Times-Roman findfont 564.444 scalefont setfont () show grestore /Times-Roman findfont 564.444 scalefont setfont 40 setlinewidth L0 ISOLATIN 4440 2820 M 5228 0 R D 4440 2820 M 0 447 R D gsave 4440 1762 translate 0 0 M 1.5 dup scale -70.5556 0 N ( ) show grestore 6182 2820 M 0 447 R D gsave 6182 1762 translate 0 0 M 1.5 dup scale -141.111 0 N (1) show grestore 7925 2820 M 0 447 R D gsave 7925 1762 translate 0 0 M 1.5 dup scale -70.5556 0 N ( ) show grestore 9668 2820 M 0 447 R D gsave 9668 1762 translate 0 0 M 1.5 dup scale -141.111 0 N (2) show grestore 4788 2820 M 0 223 R D 5137 2820 M 0 223 R D 5485 2820 M 0 223 R D 5834 2820 M 0 223 R D 6531 2820 M 0 223 R D 6879 2820 M 0 223 R D 7228 2820 M 0 223 R D 7576 2820 M 0 223 R D 8273 2820 M 0 223 R D 8622 2820 M 0 223 R D 8970 2820 M 0 223 R D 9319 2820 M 0 223 R D gsave 7054 846 translate 0 0 M 1.5 dup scale -824.055 0 N /Times-BoldItalic findfont 564.444 scalefont setfont (d) show X -101.79 M /Times-Roman findfont 248.356 scalefont setfont (H-H) show X 0 M /Times-Roman findfont 564.444 scalefont setfont ISOLATIN ( \(\305\)) show grestore 4440 25190 M 5228 0 R D 4440 25190 M 0 -448 R D 6182 25190 M 0 -448 R D 7925 25190 M 0 -448 R D 9668 25190 M 0 -448 R D 4788 25190 M 0 -224 R D 5137 25190 M 0 -224 R D 5485 25190 M 0 -224 R D 5834 25190 M 0 -224 R D 6531 25190 M 0 -224 R D 6879 25190 M 0 -224 R D 7228 25190 M 0 -224 R D 7576 25190 M 0 -224 R D 8273 25190 M 0 -224 R D 8622 25190 M 0 -224 R D 8970 25190 M 0 -224 R D 9319 25190 M 0 -224 R D 4440 2820 M 0 22370 R D 4440 4540 M 104 0 R D gsave 4218 4258 translate 0 0 M 1.5 dup scale -282.222 0 N (0) show grestore 4440 7982 M 104 0 R D gsave 4218 7700 translate 0 0 M 1.5 dup scale -141.111 0 N ( ) show grestore 4440 11424 M 104 0 R D gsave 4218 11142 translate 0 0 M 1.5 dup scale -282.222 0 N (1) show grestore 4440 14865 M 104 0 R D gsave 4218 14583 translate 0 0 M 1.5 dup scale -141.111 0 N ( ) show grestore 4440 18307 M 104 0 R D gsave 4218 18025 translate 0 0 M 1.5 dup scale -282.222 0 N (2) show grestore 4440 21748 M 104 0 R D gsave 4218 21466 translate 0 0 M 1.5 dup scale -141.111 0 N ( ) show grestore 4440 25190 M 104 0 R D gsave 4218 24696 translate 0 0 M 1.5 dup scale -282.222 0 N (3) show grestore 4440 3164 M 52 0 R D 4440 3852 M 52 0 R D 4440 5229 M 52 0 R D 4440 5917 M 52 0 R D 4440 6605 M 52 0 R D 4440 7294 M 52 0 R D 4440 8670 M 52 0 R D 4440 9359 M 52 0 R D 4440 10047 M 52 0 R D 4440 10735 M 52 0 R D 4440 12112 M 52 0 R D 4440 12800 M 52 0 R D 4440 13488 M 52 0 R D 4440 14177 M 52 0 R D 4440 15553 M 52 0 R D 4440 16242 M 52 0 R D 4440 16930 M 52 0 R D 4440 17618 M 52 0 R D 4440 18995 M 52 0 R D 4440 19683 M 52 0 R D 4440 20372 M 52 0 R D 4440 21060 M 52 0 R D 4440 22436 M 52 0 R D 4440 23125 M 52 0 R D 4440 23813 M 52 0 R D 4440 24501 M 52 0 R D gsave 3129 14005 translate 0 0 M 90 rotate 1.5 dup scale -634.718 0 N /Times-BoldItalic findfont 564.444 scalefont setfont (Z) show /Times-Roman findfont 564.444 scalefont setfont ISOLATIN ( \(\305\)) show grestore 9668 2820 M 0 22370 R D 9668 4540 M -105 0 R D 9668 7982 M -105 0 R D 9668 11424 M -105 0 R D 9668 14865 M -105 0 R D 9668 18307 M -105 0 R D 9668 21748 M -105 0 R D 9668 25190 M -105 0 R D 9668 3164 M -53 0 R D 9668 3852 M -53 0 R D 9668 5229 M -53 0 R D 9668 5917 M -53 0 R D 9668 6605 M -53 0 R D 9668 7294 M -53 0 R D 9668 8670 M -53 0 R D 9668 9359 M -53 0 R D 9668 10047 M -53 0 R D 9668 10735 M -53 0 R D 9668 12112 M -53 0 R D 9668 12800 M -53 0 R D 9668 13488 M -53 0 R D 9668 14177 M -53 0 R D 9668 15553 M -53 0 R D 9668 16242 M -53 0 R D 9668 16930 M -53 0 R D 9668 17618 M -53 0 R D 9668 18995 M -53 0 R D 9668 19683 M -53 0 R D 9668 20372 M -53 0 R D 9668 21060 M -53 0 R D 9668 22436 M -53 0 R D 9668 23125 M -53 0 R D 9668 23813 M -53 0 R D 9668 24501 M -53 0 R D gsave 8833 11892 translate 0 0 M -41.271 rotate 1.125 dup scale -493.889 0 N () show grestore L2 9668 11087 M -12 16 R -44 59 R -44 59 R -45 59 R D gsave 4545 19883 translate 0 0 M -88.9222 rotate 1.125 dup scale -493.889 0 N () show grestore 8169 12445 M -53 30 R -53 36 R -53 35 R -53 35 R -53 33 R -53 33 R -53 32 R -53 31 R -54 30 R -53 29 R -53 32 R -53 33 R -54 32 R -53 32 R -53 30 R -54 30 R -53 29 R -54 29 R -53 28 R -54 28 R -53 30 R -54 31 R -53 30 R -53 30 R -54 30 R -53 29 R -54 29 R -53 29 R -54 28 R -53 29 R -54 32 R -53 32 R -53 33 R -53 32 R -53 33 R -53 33 R -53 33 R -53 33 R -54 30 R -53 29 R -54 26 R -54 22 R -54 19 R -55 17 R -54 15 R -55 16 R -54 17 R -54 19 R -54 22 R -54 28 R -53 34 R -52 43 R -50 54 R -47 66 R -46 73 R -43 82 R -40 92 R -37 97 R -37 99 R -35 101 R -35 101 R -35 102 R -35 104 R -33 104 R -34 104 R -33 106 R -34 105 R -32 108 R -30 111 R -29 112 R -29 113 R -24 119 R -20 123 R -17 127 R -16 126 R -13 129 R -8 131 R -6 133 R -3 132 R -1 132 R 1 133 R 2 132 R 3 133 R 4 132 R 5 132 R 4 132 R 5 132 R 4 132 R 4 133 R D 4547 21627 M -5 131 R -6 130 R -6 131 R -7 130 R -7 130 R -8 130 R -8 130 R -7 130 R -7 130 R -4 132 R 1 131 R 7 131 R 9 129 R 10 129 R 13 127 R 16 126 R 17 125 R 17 125 R 17 125 R 17 124 R 17 125 R 16 125 R 16 126 R 15 126 R 14 127 R 11 128 R 10 130 R 8 100 R D 4790 25190 M -8 -114 R -9 -130 R -11 -130 R -13 -129 R -14 -128 R -16 -127 R -15 -128 R -15 -127 R -17 -126 R -16 -127 R -16 -127 R -15 -127 R -14 -128 R -12 -129 R -11 -131 R -7 -131 R -4 -133 R 1 -132 R 4 -132 R 8 -132 R 7 -131 R 7 -132 R 7 -131 R 6 -132 R 5 -132 R 5 -132 R 4 -132 R 4 -133 R 3 -132 R 3 -132 R 2 -133 R 3 -132 R 2 -133 R 1 -132 R 2 -133 R 2 -132 R 2 -133 R 2 -132 R 3 -133 R 2 -132 R 3 -132 R 3 -133 R 4 -132 R 3 -132 R 4 -133 R 4 -132 R 4 -132 R 3 -132 R 2 -133 R 2 -132 R 0 -133 R -1 -133 R -2 -132 R -3 -133 R -3 -132 R -4 -132 R -4 -132 R -4 -133 R -4 -132 R -3 -132 R -3 -133 R -1 -132 R 1 -133 R 2 -132 R 5 -132 R 7 -132 R 10 -131 R 15 -127 R 17 -126 R 19 -124 R 23 -120 R 26 -117 R 27 -115 R 31 -109 R 31 -110 R 33 -106 R 34 -105 R 33 -104 R 35 -104 R 34 -102 R 36 -102 R 35 -100 R 37 -100 R 36 -98 R 40 -93 R 41 -87 R 44 -79 R 47 -67 R 50 -56 R 52 -46 R 52 -39 R 53 -31 R 54 -24 R 54 -21 R 55 -17 R 54 -15 R 55 -13 R 54 -14 R 55 -15 R 54 -18 R 54 -21 R 54 -24 R 54 -28 R 53 -31 R 53 -32 R 53 -32 R 54 -31 R 53 -32 R 54 -28 R 53 -27 R 54 -27 R 53 -28 R 54 -27 R 54 -27 R 53 -28 R 54 -28 R 53 -29 R 54 -29 R 54 -28 R 53 -26 R 54 -26 R 54 -27 R 53 -28 R 54 -28 R 53 -29 R 54 -30 R 53 -31 R 53 -31 R 53 -33 R 54 -29 R 54 -29 R 53 -30 R 53 -31 R 53 -32 R 54 -33 R 52 -34 R 53 -35 R 53 -37 R 53 -32 R 53 -32 R 54 -33 R 53 -34 R 52 -35 R 53 -36 R 53 -37 R 52 -39 R 53 -37 R 53 -34 R 53 -35 R 52 -36 R 53 -37 R 53 -38 R 52 -40 R 52 -41 R 52 -39 R 53 -36 R 53 -39 R 52 -41 R 51 -46 R 51 -51 R 49 -57 R 50 -54 R 50 -57 R 48 -62 R 48 -65 R 47 -68 R 48 -63 R 48 -66 R 48 -66 R 42 -60 R D 9668 11635 M -38 58 R -48 67 R -47 66 R -49 63 R -47 68 R -48 65 R -49 61 R -50 55 R -51 52 R -49 56 R -51 50 R -52 46 R -52 42 R -52 40 R -53 37 R -53 40 R -51 44 R -53 42 R -52 41 R -53 38 R -52 38 R -53 36 R -53 34 R -53 41 R -52 41 R -52 39 R -53 37 R -53 36 R -53 35 R -53 33 R -54 31 R -53 37 R -52 38 R -53 35 R -54 34 R -53 33 R -53 31 R -54 29 R -54 29 R -53 27 R -54 30 R -53 32 R -54 30 R -53 29 R -54 27 R -54 27 R -54 25 R -54 25 R -54 24 R -54 23 R -54 22 R -55 24 R -53 27 R -54 25 R -54 25 R -54 25 R -54 24 R -54 25 R -54 24 R -54 24 R -54 25 R -54 25 R -54 25 R -54 27 R -54 30 R -53 29 R -54 26 R -55 22 R -54 19 R -55 16 R -54 13 R -55 12 R -55 12 R -54 12 R -55 14 R -55 18 R -54 21 R -54 28 R -52 39 R -51 49 R -50 58 R -47 68 R -45 77 R -41 87 R -39 94 R -38 98 R -36 100 R -36 101 R -35 101 R -35 103 R -34 104 R -34 104 R -33 108 R -31 109 R -31 110 R -26 117 R -26 117 R -23 121 R -18 125 R -18 126 R -13 129 R -9 132 R -6 132 R -5 132 R -2 133 R 0 133 R 1 133 R 2 133 R 3 132 R 3 133 R 4 133 R 3 132 R 4 133 R 2 133 R 2 133 R 1 133 R 1 132 R -1 133 R -2 133 R -3 133 R -3 133 R -4 132 R -3 133 R -3 133 R -3 132 R -2 133 R -2 133 R -2 133 R -1 133 R -1 133 R -1 133 R 0 133 R 0 132 R 0 133 R -1 133 R 0 133 R 0 133 R -1 133 R -2 133 R -2 133 R -2 133 R -4 132 R -4 133 R -5 132 R -6 132 R -5 133 R -6 132 R -7 132 R -5 132 R -1 133 R 2 133 R 6 132 R 9 132 R 12 129 R 13 130 R 13 128 R 15 128 R 15 128 R 15 128 R 15 128 R 15 128 R 14 129 R 11 129 R 11 131 R 12 130 R 10 130 R 6 119 R D gsave 4862 22858 translate 0 0 M 88.1062 rotate 1.125 dup scale -493.889 0 N () show grestore 4984 25190 M -4 -101 R -7 -129 R -9 -130 R -10 -129 R -11 -127 R D gsave 7905 13529 translate 0 0 M -30.6564 rotate 1.125 dup scale -493.889 0 N (0.2) show grestore 4838 21119 M -2 -131 R -2 -132 R -2 -131 R -1 -131 R -2 -132 R -1 -131 R -1 -132 R 0 -131 R 0 -132 R 1 -131 R 2 -132 R 1 -131 R 3 -131 R 2 -132 R 3 -131 R 3 -131 R 3 -131 R 1 -132 R 1 -131 R 0 -132 R -2 -131 R -1 -132 R -3 -131 R -2 -131 R -3 -132 R -3 -131 R -3 -131 R -2 -132 R -2 -131 R 0 -131 R 1 -132 R 3 -131 R 4 -132 R 8 -130 R 13 -128 R 13 -127 R 16 -126 R 20 -122 R 22 -120 R 26 -116 R 29 -112 R 29 -111 R 33 -105 R 33 -104 R 34 -103 R 35 -100 R 35 -101 R 36 -98 R 36 -98 R 38 -95 R 39 -90 R 43 -82 R 45 -75 R 47 -66 R 50 -53 R 51 -39 R 53 -32 R 54 -25 R 53 -19 R 54 -14 R 55 -11 R 54 -9 R 54 -9 R 54 -9 R 55 -10 R 54 -12 R 54 -16 R 53 -18 R 54 -22 R 54 -23 R 53 -20 R 54 -20 R 54 -20 R 54 -18 R 54 -19 R 53 -17 R 54 -18 R 54 -17 R 54 -17 R 54 -20 R 54 -2 R 54 19 R 52 -37 R 52 -42 R 53 -23 R 54 -22 R 54 -16 R D 8619 13114 M 51 -41 R 51 -37 R 51 -39 R 51 -41 R 51 -44 R 50 -46 R 49 -52 R 50 -45 R 51 -40 R 51 -42 R 50 -46 R 50 -50 R 48 -56 R 48 -61 R 49 -51 R 48 -58 R 47 -63 R 45 -68 R 46 -69 R 47 -62 R 46 -67 R 19 -30 R D 9668 12236 M -21 38 R -45 74 R -48 68 R -48 64 R -46 72 R -46 72 R -48 62 R -50 56 R -51 52 R -47 65 R -50 55 R -51 51 R -51 49 R -52 46 R -51 46 R -51 52 R -51 49 R -51 45 R -52 43 R -52 42 R -53 36 R -50 51 R -51 52 R -50 52 R -51 54 R -53 35 R -53 28 R -54 23 R -49 61 R -51 52 R -52 37 R -53 39 R -52 42 R -53 34 R -55 12 R -52 41 R -50 53 R -52 43 R -53 35 R -54 28 R -53 26 R -54 27 R -54 25 R -54 13 R -55 1 R -55 7 R -55 9 R -55 11 R -54 16 R -54 19 R -54 19 R -54 50 R -50 25 R -46 -74 R -52 -41 R -56 14 R -54 19 R -55 14 R -54 10 R -55 9 R -55 9 R -55 12 R -54 15 R -54 17 R -55 18 R -54 17 R -55 15 R -54 13 R -55 9 R -55 8 R -55 6 R -55 6 R -54 6 R -55 7 R -55 11 R -54 14 R -55 20 R -53 29 R -52 41 R -51 51 R -49 59 R -47 70 R -44 80 R -40 90 R -39 94 R -37 98 R -36 100 R -36 99 R -36 102 R -33 104 R -34 106 R -32 107 R -29 113 R -27 115 R -27 116 R -22 122 R -17 126 R -15 128 R -13 129 R -9 131 R -7 132 R -4 132 R -2 133 R 0 133 R 1 132 R 2 133 R 2 132 R 3 133 R 3 132 R 3 133 R 2 133 R 2 132 R 1 133 R 0 133 R 0 132 R -1 133 R -3 132 R -2 133 R -3 133 R -3 132 R -2 133 R -1 132 R -1 133 R 0 133 R 1 132 R 1 133 R 2 133 R 2 132 R 3 133 R 3 132 R 4 133 R 3 132 R 4 133 R 3 132 R 3 133 R 3 132 R 2 133 R 2 132 R 0 133 R 0 133 R -2 132 R -2 133 R -4 132 R -4 133 R -6 132 R -4 132 R -1 133 R 2 133 R 5 132 R 7 131 R 9 131 R 11 130 R 11 130 R 13 129 R 14 129 R 13 129 R 12 129 R 11 130 R 12 129 R 12 130 R 10 131 R 8 131 R 7 132 R 4 117 R D 5126 25190 M -3 -120 R -6 -132 R -7 -132 R -9 -132 R -9 -130 R -12 -131 R -12 -129 R -12 -130 R -11 -130 R -12 -130 R -12 -130 R -11 -130 R -11 -130 R -10 -131 R -6 -132 R -4 -133 R -1 -133 R 0 -133 R 4 -133 R 4 -132 R 3 -133 R 2 -133 R 0 -133 R 0 -133 R -2 -133 R -2 -133 R -4 -132 R -4 -133 R -5 -132 R -5 -133 R -6 -132 R -5 -132 R -6 -132 R -5 -133 R -5 -132 R -5 -133 R -3 -132 R -4 -133 R -2 -133 R -2 -133 R 0 -133 R 0 -133 R 1 -133 R 1 -133 R 2 -133 R 3 -132 R 2 -133 R 2 -133 R 1 -133 R 0 -133 R 0 -133 R -2 -133 R -2 -133 R -2 -133 R -3 -132 R -3 -133 R -2 -133 R -2 -133 R -2 -133 R 0 -133 R 2 -133 R 3 -132 R 4 -133 R 9 -131 R 11 -131 R 13 -129 R 17 -127 R 22 -122 R 22 -121 R 27 -117 R 29 -112 R 30 -112 R 33 -106 R 34 -104 R 35 -103 R 36 -100 R 38 -98 R 37 -98 R 39 -92 R 42 -87 R 44 -81 R 46 -70 R 51 -54 R 51 -44 R 53 -35 R 54 -26 R 55 -19 R 55 -12 R 55 -8 R 54 -5 R 55 -2 R 55 -3 R 55 -4 R 55 -5 R 55 -5 R 55 -10 R 55 -10 R 55 -14 R 54 -11 R 55 -7 R 55 6 R 55 17 R 53 30 R 54 30 R 54 26 R 54 20 R 54 24 R 53 37 R 51 51 R 43 79 R 14 129 R -11 143 R -20 125 R -17 125 R -19 124 R -28 115 R -25 119 R -33 105 R -35 103 R -32 109 R -36 100 R -33 107 R -34 103 R -36 102 R -34 103 R -34 105 R -35 103 R -33 106 R -31 111 R -29 112 R -28 114 R -25 119 R -25 119 R -26 117 R -26 117 R -26 116 R -28 115 R -28 114 R -29 114 R -29 113 R -29 112 R -28 115 R -28 115 R -26 117 R -24 120 R -25 118 R -23 120 R -23 122 R -23 120 R -22 122 R -20 124 R -20 124 R -20 124 R -19 125 R -17 126 R -16 127 R -15 128 R -15 128 R -16 128 R -13 128 R -12 130 R -12 130 R -13 129 R -13 130 R -12 129 R -12 130 R -11 130 R -12 130 R -11 130 R -12 130 R -11 130 R -12 130 R -9 131 R -8 132 R -7 132 R -6 132 R -6 132 R -5 133 R -4 132 R -3 133 R -2 133 R -1 133 R -1 133 R 0 133 R 0 133 R 0 133 R 0 133 R 0 133 R 0 132 R 0 133 R -1 133 R -1 133 R -3 133 R -4 124 R D 5627 25190 M 0 -120 R 0 -132 R -1 -133 R 0 -132 R -1 -133 R 0 -132 R 0 -133 R 0 -132 R 1 -133 R 1 -132 R 1 -133 R 3 -132 R 4 -132 R 4 -132 R 6 -132 R 7 -131 R 7 -132 R 8 -131 R 9 -131 R 9 -130 R 10 -130 R 10 -131 R 9 -131 R 9 -130 R 10 -130 R 11 -130 R 11 -130 R 11 -130 R 10 -130 R 11 -130 R 11 -129 R 13 -130 R 13 -128 R 14 -128 R 14 -128 R 14 -129 R 14 -127 R 17 -126 R 18 -126 R 17 -125 R 18 -125 R 20 -124 R 20 -123 R 21 -123 R 21 -122 R 23 -120 R 22 -122 R 23 -120 R 24 -119 R 24 -119 R 26 -117 R 28 -114 R 28 -114 R 29 -113 R 28 -113 R 28 -113 R 28 -115 R 27 -114 R 27 -116 R 26 -116 R 27 -116 R 25 -118 R 25 -118 R 28 -113 R 31 -111 R 31 -109 R 33 -105 R 35 -102 R 35 -101 R 36 -102 R 35 -100 R 37 -99 R 34 -103 R 37 -98 R 40 -92 R 35 -101 R 37 -97 R 40 -92 R 31 -110 R 35 -102 R 39 -92 R 33 -107 R 41 -83 R 53 -45 R 51 -44 R 51 -50 R 50 -55 R 51 -46 R 52 -45 R 51 -48 R 52 -44 R 47 -63 R 47 -71 R 51 -48 R 52 -40 R 53 -33 R 53 -30 R 55 -22 R 49 -54 R 49 -58 R 52 -41 R 53 -36 R 53 -31 R 54 -26 R 54 -24 R 54 -16 R 55 -17 R 53 -34 R 53 -30 R 54 -23 R 54 -19 R 55 -14 R 54 -13 R 55 -12 R 54 -12 R 55 -12 R 55 -11 R 54 -10 R 55 -8 R 55 -6 R 54 -7 R 55 -11 R 54 -14 R 55 -17 R 54 -20 R 54 -22 R 53 -30 R 54 -27 R 54 -25 R 30 -12 R D gsave 8884 14223 translate 0 0 M -23.7681 rotate 1.125 dup scale -493.889 0 N (0.2) show grestore 9668 14088 M -49 16 R D 8201 14728 M -54 32 R -53 33 R -53 36 R -53 37 R -53 30 R -53 38 R -52 44 R -51 50 R -50 53 R -51 53 R -52 41 R -53 33 R -53 39 R -52 43 R -51 50 R -49 58 R -48 65 R -46 72 R -45 79 R -41 87 R -42 88 R -45 74 R -42 88 R -39 94 R -42 84 R -41 89 R -38 96 R -38 98 R -37 97 R -36 101 R -37 99 R -36 101 R -35 102 R -33 107 R -31 109 R -30 111 R -27 116 R -26 117 R -27 117 R -27 116 R -26 116 R -27 116 R -28 115 R -28 115 R -28 114 R -28 114 R -28 114 R -28 115 R -28 115 R -25 118 R -25 119 R -23 120 R -23 121 R -23 121 R -22 122 R -21 123 R -20 124 R -21 123 R -18 125 R -18 126 R -18 126 R -17 126 R -15 128 R -14 129 R -14 129 R -14 128 R -13 130 R -11 130 R -12 130 R -10 130 R -10 131 R -10 131 R -10 131 R -9 131 R -8 131 R -9 132 R -9 131 R -9 131 R -8 132 R -9 131 R -9 131 R -8 132 R -8 131 R -7 132 R -6 133 R -5 132 R -4 133 R -3 132 R -3 133 R -2 133 R -1 133 R 0 133 R 0 133 R 0 133 R 1 133 R 1 133 R 0 133 R 1 133 R 0 125 R D 5481 25190 M 1 -124 R 2 -133 R 3 -133 R 4 -132 R 4 -133 R 5 -132 R 5 -132 R 3 -133 R 2 -133 R 2 -133 R 1 -133 R 0 -132 R 1 -133 R 1 -133 R 2 -133 R 2 -133 R 3 -133 R 4 -132 R 4 -133 R 5 -132 R 4 -132 R 5 -133 R 6 -132 R 7 -132 R 10 -130 R 15 -128 R 18 -126 R 18 -126 R 15 -128 R 13 -129 R 13 -129 R 13 -129 R 13 -129 R 13 -129 R 13 -129 R 14 -129 R 13 -129 R 14 -129 R 14 -128 R 15 -128 R 17 -126 R 17 -127 R 17 -126 R 18 -126 R 21 -123 R 21 -122 R 22 -122 R 23 -120 R 26 -118 R 25 -118 R 26 -117 R 29 -113 R 28 -115 R 29 -113 R 29 -112 R 29 -113 R 29 -113 R 28 -114 R 27 -116 R 26 -117 R 26 -118 R 24 -119 R 24 -120 R 26 -116 R 29 -114 R 29 -112 R 32 -109 R 33 -105 R 33 -107 R 34 -105 R 35 -102 R 31 -110 R 31 -109 R 34 -105 R 29 -112 R 26 -117 R 29 -113 R 17 -125 R 8 -137 R 1 -141 R -14 -126 R -38 -95 R -45 -75 R -50 -55 R -51 -52 R -50 -51 R -54 -35 R -54 -19 R -55 -3 R -55 -2 R -55 -5 R -55 0 R -55 -2 R -55 -3 R -54 4 R -55 -2 R -55 -3 R -55 1 R -55 4 R -55 9 R -55 15 R -54 21 R -53 33 R -52 47 R -49 59 R -47 68 R -45 77 R -41 87 R -39 95 R -38 95 R -37 99 R -36 101 R -35 102 R -33 105 R -31 111 R -31 110 R -26 117 R -24 120 R -22 121 R -19 125 R -14 129 R -10 131 R -9 131 R -6 132 R -4 132 R -1 133 R 0 133 R 1 133 R 2 133 R 2 133 R 3 132 R 2 133 R 3 133 R 1 133 R 2 133 R 0 133 R 0 132 R -1 133 R -1 133 R -2 133 R -2 133 R -1 133 R -1 133 R 1 132 R 1 133 R 2 133 R 2 133 R 4 133 R 5 132 R 5 132 R 7 132 R 7 132 R 8 131 R 8 132 R 9 131 R 8 131 R 8 132 R 7 132 R 9 131 R 8 131 R 6 132 R 5 133 R 4 132 R 3 133 R 0 133 R 0 133 R -2 133 R -2 132 R 1 133 R 2 133 R 6 132 R 7 132 R 8 132 R 9 131 R 10 130 R 13 130 R 13 129 R 12 129 R 11 131 R 9 131 R 8 131 R 11 131 R 9 131 R 6 132 R 5 132 R 3 117 R D 5858 25190 M 0 -119 R -1 -132 R -1 -132 R 0 -133 R -1 -132 R 0 -132 R 1 -133 R 0 -132 R 2 -133 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dx, dy gsave % saving currentpoint 0 -0.05 rmoveto 0.76 mul 0.05 add % modify rectangle dup neg 3 1 roll 0 exch rlineto 0 rlineto 0 exch rlineto closepath 1.0 setgray fill grestore} bind def /T { % Text % Stack: rel. x pos, string, height, x, y moveto setfont exch dup stringwidth pop dup 5 -1 roll mul neg 0 rmoveto 3 2 roll BOX 0 SCI show} bind def /StackW 1 array def /W {%def copy rel moves starting at [ from stack to StackW ] /StackW exch def % read from stack into StackW StackW aload pop % copy back to stack } bind def /R {%def Read from StackR in inverse order StackR length 2 sub -2 0 % loop parameters {dup StackR exch get neg % get x exch StackR exch 1 add get neg} % get y for } bind def /F {%def take color index, one abs move % and relative moves from stack % and fill SCI % set color index moveto % abs move in cm 0.001 0.001 scale % rel moves in 1/1000 cm count -2 2 { pop rlineto} for closepath fill /StackR StackW def % copy StackW to StackR 1000 1000 scale % back to cm } bind def /L {%def Polyline, similar to F SCI moveto 0.001 0.001 scale count -2 2 { pop rlineto } for stroke 1000 1000 scale } bind def /LNEW {%def Polyline, similar to F moveto 0.001 0.001 scale count -2 2 { pop rlineto } for stroke 1000 1000 scale } bind def /RS {%def restore save } bind def 0.0000 0.0000 0.0000 0 SCR 0.0000 0.0000 0.0000 1 SCR 0.0000 0.0000 0.0000 2 SCR 0.0000 0.0000 0.0000 3 SCR 0.0000 0.0000 0.0000 4 SCR 0.0000 0.0000 0.0000 5 SCR 0.0000 0.0000 0.0000 6 SCR 0.0000 0.0000 0.0000 7 SCR 0.0000 0.0000 0.0000 8 SCR 0.0000 0.0000 0.0000 9 SCR 0.0000 0.0000 0.0000 10 SCR 0.0000 0.0000 0.0000 11 SCR 0.0000 0.0000 0.0000 12 SCR 0.0000 0.0000 0.0000 13 SCR 0.0000 0.0000 0.0000 14 SCR 0.0000 0.0000 0.0000 15 SCR 0.0000 0.0000 0.0000 16 SCR 0.0000 0.0000 0.0000 17 SCR 0.0000 0.0000 0.0000 18 SCR 0.0000 0.0000 0.0000 19 SCR 0.0000 0.0000 0.0000 20 SCR 0.0000 0.0000 0.0000 21 SCR 0.0000 0.0000 0.0000 22 SCR 0.0000 0.0000 0.0000 23 SCR 0.0000 0.0000 0.0000 24 SCR 0.0000 0.0000 0.0000 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xx yy moveto 90 rotate lwi 0 rlineto 0 10 rlineto lwi neg 0 rlineto -90 rotate closepath 1 setgray fill 0 setgray xx 2 sub yy 2 add moveto 90 rotate (BALSAC plot) show -90 rotate 2 xx sub -2 yy sub moveto } bind def /COcir { setrgbcolor 0.25 setlinewidth newpath 0 360 arc closepath stroke } bind def /CFcir { setrgbcolor 0.25 setlinewidth newpath 0 360 arc closepath gsave fill grestore Rol Gol Bol setrgbcolor stroke } bind def /CLine { setlinewidth setrgbcolor newpath moveto lineto 1 setlinejoin 1 setlinecap stroke } bind def /COLine { /lwi exch def /clB exch def /clG exch def /clR exch def newpath moveto lineto 1 setlinejoin 0 setlinecap gsave lwi 3 add setlinewidth 1 setgray stroke grestore lwi setlinewidth clR clG clB setrgbcolor stroke } bind def /CDLine { /lwi exch def /clB exch def /clG exch def /clR exch def /y3 exch def /x3 exch def newpath moveto lineto x3 y3 lineto 1 setlinejoin 0 setlinecap lwi 0 ge {gsave lwi 3 add setlinewidth 1 setgray stroke grestore} {/lwi lwi neg def} ifelse lwi setlinewidth clR clG clB setrgbcolor stroke } bind def /CBall { /incol exch nos1 mul def /radius exch def /y0 exch def /x0 exch def x0 y0 translate phi rotate 0 radius Cel /shift0 ey radius mul def /i 0 def 1. ez div 1. scale /radiz radius ez mul def nosh {/incol incol 1 add def alp i get shift0 mul bet i get radiz mul Cel /i i 1 add def} repeat ez 1. scale 0 0 radius Rol Gol Bol COcir phi neg rotate x0 neg y0 neg translate} bind def /Cel { /rady exch def /yy0 exch def 0 yy0 translate newpath cRA incol get cGA incol get cBA incol get setrgbcolor 0 0 rady 0 360 arc closepath fill 0 yy0 neg translate } bind def /Lite { /phi exch def /ez exch def /ey exch def } bind def /CBond { /clBi exch def /clGi exch def /clRi exch def /qq exch def /r2 exch def /r1 exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def qq 0 gt {/qq1 1 qq div def} if x1 x2 ne y1 y2 ne or { /wr y2 y1 sub x2 x1 sub atan def newpath 0.25 setlinewidth clRi clGi clBi setrgbcolor x1 y1 translate wr rotate qq 0 gt {qq 1 scale 0 0 r1 90 270 arc qq1 1 scale } {0 r1 moveto 0 r1 neg lineto } ifelse wr neg rotate x2 x1 sub y2 y1 sub translate wr rotate 0 r2 neg lineto qq 0 lt {qq 1 scale 0 0 r2 270 90 arcn qq1 1 scale } { 0 r2 lineto } ifelse wr neg rotate x2 neg y2 neg translate closepath gsave fill grestore Rbd Gbd Bbd setrgbcolor stroke } if } bind def /Coldef { /qgam exch def /qmax exch def /qmin exch def /clB exch def /clG exch def /clR exch def /qint clR clG clB add add 3 div def qint 0 eq { /qint 1 def /pint 1 def } { /pint 1 1 qint sub div def } ifelse /aaR clR qint sub pint mul def /bbR 1 clR sub pint mul def /aaG clG qint sub pint mul def /bbG 1 clG sub pint mul def /aaB clB qint sub pint mul def /bbB 1 clB sub pint mul def /dqq qmax qmin sub def /qq qmin dqq sub def /kk 0 def nos1 { /qq qmin kk nosh div qgam exp dqq mul add def qq qint lt {cRA ii clR qq mul qint div put cGA ii clG qq mul qint div put cBA ii clB qq mul qint div put } {cRA ii aaR bbR qq mul add put cGA ii aaG bbG qq mul add put cBA ii aaB bbB qq mul add put } ifelse /ii ii 1 add def /kk kk 1 add def} repeat} bind def /nosh 50 def /ncol 2 def /nos1 nosh 1 add def /cRA nos1 ncol mul array def /cGA nos1 ncol mul array def /cBA nos1 ncol mul array def /ii 0 def .101 .101 .101 .450 .880 1.000 Coldef .567 .567 .567 .300 .830 1.720 Coldef /alp nosh array def /bet nosh array def /i 0 def /j 0 def nosh { alp i j nosh div put bet i 1 j nosh div dup mul sub abs sqrt put /i i 1 add def /j j 1 add def } repeat % 20 20 570 770 Boxd .000 .000 .000 setrgbcolor fill % 20 20 570 770 Boxd 0 setgray stroke 20 20 570 770 Boxd clip % 53 45 {dup mul exch dup mul add 1. exch sub } setscreen /Rol .000 def /Gol .000 def /Bol .000 def /Rbd .000 def /Gbd .000 def /Bbd .000 def .7660 .6428 125.00 Lite 346.99 524.48 11.53 0 CBall % 20 353.44 515.36 377.12 481.87 2.841 2.841 .0000 .846 .846 .846 CBond 341.13 525.95 316.52 532.11 2.841 3.104 .8034 .846 .846 .846 CBond 383.57 472.75 11.53 0 CBall % 23 377.12 463.63 353.44 430.13 2.841 2.841 .0000 .846 .846 .846 CBond 346.99 421.01 11.53 0 CBall % 18 353.44 411.89 377.12 378.40 2.841 2.841 .0000 .846 .846 .846 CBond 341.09 421.00 316.61 420.97 2.841 3.104 .8036 .846 .846 .846 CBond 231.42 456.87 11.53 0 CBall % 3 235.16 446.34 248.99 407.46 2.841 2.841 .0000 .846 .846 .846 CBond 237.44 459.66 264.55 472.21 2.841 3.104 .7628 .846 .846 .846 CBond 383.57 369.27 11.53 0 CBall % 24 377.12 360.15 353.44 326.66 2.841 2.841 .0000 .846 .846 .846 CBond 252.74 396.94 11.53 0 CBall % 4 255.72 392.04 267.86 372.11 2.841 3.104 .8454 .846 .846 .846 CBond 346.99 317.54 11.53 0 CBall % 19 341.15 316.02 316.60 309.62 2.841 3.104 .8044 .846 .846 .846 CBond 271.12 366.77 12.59 0 CBall % 8 278.25 376.67 303.03 411.06 3.104 3.104 .0009 .846 .846 .846 CBond 277.88 356.61 303.47 318.12 3.104 3.104 .0020 .846 .846 .846 CBond 264.36 369.28 237.83 379.14 3.104 3.421 .8192 .846 .846 .846 CBond 271.14 475.26 12.59 0 CBall % 7 277.91 485.41 303.36 523.56 3.104 3.104 .0002 .846 .846 .846 CBond 278.26 465.35 303.04 430.88 3.104 3.104 .0002 .846 .846 .846 CBond 264.38 472.74 237.83 462.89 3.104 3.421 .8189 .846 .846 .846 CBond 310.13 533.71 12.59 0 CBall % 14 317.70 535.59 349.65 543.51 3.104 3.421 .8040 .846 .846 .846 CBond 310.16 420.97 12.59 0 CBall % 12 317.82 420.97 349.55 421.00 3.104 3.421 .8042 .846 .846 .846 CBond 310.23 307.96 12.59 0 CBall % 13 317.80 306.13 349.65 298.46 3.104 3.421 .8043 .846 .846 .846 CBond 357.99 545.58 13.88 0 CBall % 17 365.76 534.60 394.27 494.28 3.421 3.421 .0000 .846 .846 .846 CBond 350.12 548.04 322.83 556.57 3.421 3.809 .8038 .846 .846 .846 CBond 402.04 483.30 13.88 0 CBall % 21 394.27 472.32 365.76 431.99 3.421 3.421 .0000 .846 .846 .846 CBond 357.99 421.01 13.88 0 CBall % 15 365.76 410.03 394.27 369.71 3.421 3.421 .0000 .846 .846 .846 CBond 349.99 421.00 322.96 420.97 3.421 3.809 .8041 .846 .846 .846 CBond 230.38 460.12 13.88 0 CBall % 1 230.38 446.68 230.38 395.35 3.421 3.421 .0000 .846 .846 .846 CBond 236.84 465.07 258.97 482.00 3.421 3.810 .8191 .846 .846 .846 CBond 217.43 464.81 188.52 475.28 1.710 1.710 .0000 .299 .299 .299 CBond 183.96 476.93 5.13 1 CBall % 25 402.04 358.73 13.88 0 CBall % 22 394.27 347.75 365.76 307.43 3.421 3.421 .0000 .846 .846 .846 CBond 230.38 381.90 13.88 0 CBall % 2 236.84 376.95 258.97 359.95 3.421 3.810 .8189 .846 .846 .846 CBond 217.43 377.21 188.52 366.75 1.710 1.710 .0000 .299 .299 .299 CBond 357.99 296.45 13.88 0 CBall % 16 350.12 293.91 322.81 285.11 3.421 3.809 .8037 .846 .846 .846 CBond 183.96 365.10 5.13 1 CBall % 26 314.05 282.29 15.45 0 CBall % 10 305.76 294.76 274.44 341.95 3.809 3.810 .0015 .846 .846 .846 CBond 314.06 559.31 15.45 0 CBall % 11 305.75 546.85 274.48 499.96 3.809 3.810 .0014 .846 .846 .846 CBond 314.05 420.96 15.45 0 CBall % 9 305.30 433.12 274.91 475.34 3.809 3.810 .0005 .846 .846 .846 CBond 305.30 408.80 274.91 366.59 3.809 3.810 .0005 .846 .846 .846 CBond 266.17 487.50 15.46 0 CBall % 5 266.16 354.43 15.46 0 CBall % 6 /#copies 1 def showpage @endspecial 1157 2145 a Fa(a\))1127 b(b\))1170 b(c\))1063 1200 y @beginspecial 50 @vscale 50 @hscale -90 @angle 103 @voffset -101 @hoffset @setspecial /Boxd { /yc2 exch def /xc2 exch def /yc1 exch def /xc1 exch def newpath xc1 yc1 moveto xc2 yc1 lineto xc2 yc2 lineto xc1 yc2 lineto closepath } bind def /Logo { /yy exch def /xx exch def /Times-Roman findfont 9 scalefont setfont /lwi (BALSAC plot) stringwidth pop 4 add def newpath xx yy moveto 90 rotate lwi 0 rlineto 0 10 rlineto lwi neg 0 rlineto -90 rotate closepath 1 setgray fill 0 setgray xx 2 sub yy 2 add moveto 90 rotate (BALSAC plot) show -90 rotate 2 xx sub -2 yy sub moveto } bind def /COcir { setrgbcolor 0.25 setlinewidth newpath 0 360 arc closepath stroke } bind def /CFcir { setrgbcolor 0.25 setlinewidth newpath 0 360 arc closepath gsave fill grestore Rol Gol Bol setrgbcolor stroke } bind def /CLine { setlinewidth setrgbcolor newpath moveto lineto 1 setlinejoin 1 setlinecap stroke } bind def /COLine { /lwi exch def /clB exch def /clG exch def /clR exch def newpath moveto lineto 1 setlinejoin 0 setlinecap gsave lwi 3 add setlinewidth 1 setgray stroke grestore lwi setlinewidth clR clG clB setrgbcolor stroke } bind def /CDLine { /lwi exch def /clB exch def /clG exch def /clR exch def /y3 exch def /x3 exch def newpath moveto lineto x3 y3 lineto 1 setlinejoin 0 setlinecap lwi 0 ge {gsave lwi 3 add setlinewidth 1 setgray stroke grestore} {/lwi lwi neg def} ifelse lwi setlinewidth clR clG clB setrgbcolor stroke } bind def /CBall { /incol exch nos1 mul def /radius exch def /y0 exch def /x0 exch def x0 y0 translate phi rotate 0 radius Cel /shift0 ey radius mul def /i 0 def 1. ez div 1. scale /radiz radius ez mul def nosh {/incol incol 1 add def alp i get shift0 mul bet i get radiz mul Cel /i i 1 add def} repeat ez 1. scale 0 0 radius Rol Gol Bol COcir phi neg rotate x0 neg y0 neg translate} bind def /Cel { /rady exch def /yy0 exch def 0 yy0 translate newpath cRA incol get cGA incol get cBA incol get setrgbcolor 0 0 rady 0 360 arc closepath fill 0 yy0 neg translate } bind def /Lite { /phi exch def /ez exch def /ey exch def } bind def /CBond { /clBi exch def /clGi exch def /clRi exch def /qq exch def /r2 exch def /r1 exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def qq 0 gt {/qq1 1 qq div def} if x1 x2 ne y1 y2 ne or { /wr y2 y1 sub x2 x1 sub atan def newpath 0.25 setlinewidth clRi clGi clBi setrgbcolor x1 y1 translate wr rotate qq 0 gt {qq 1 scale 0 0 r1 90 270 arc qq1 1 scale } {0 r1 moveto 0 r1 neg lineto } ifelse wr neg rotate x2 x1 sub y2 y1 sub translate wr rotate 0 r2 neg lineto qq 0 lt {qq 1 scale 0 0 r2 270 90 arcn qq1 1 scale } { 0 r2 lineto } ifelse wr neg rotate x2 neg y2 neg translate closepath gsave fill grestore Rbd Gbd Bbd setrgbcolor stroke } if } bind def /Coldef { /qgam exch def /qmax exch def /qmin exch def /clB exch def /clG exch def /clR exch def /qint clR clG clB add add 3 div def qint 0 eq { /qint 1 def /pint 1 def } { /pint 1 1 qint sub div def } ifelse /aaR clR qint sub pint mul def /bbR 1 clR sub pint mul def /aaG clG qint sub pint mul def /bbG 1 clG sub pint mul def /aaB clB qint sub pint mul def /bbB 1 clB sub pint mul def /dqq qmax qmin sub def /qq qmin dqq sub def /kk 0 def nos1 { /qq qmin kk nosh div qgam exp dqq mul add def qq qint lt {cRA ii clR qq mul qint div put cGA ii clG qq mul qint div put cBA ii clB qq mul qint div put } {cRA ii aaR bbR qq mul add put cGA ii aaG bbG qq mul add put cBA ii aaB bbB qq mul add put } ifelse /ii ii 1 add def /kk kk 1 add def} repeat} bind def /nosh 50 def /ncol 5 def /nos1 nosh 1 add def /cRA nos1 ncol mul array def /cGA nos1 ncol mul array def /cBA nos1 ncol mul array def /ii 0 def .101 .101 .101 .450 .880 1.000 Coldef .567 .567 .567 .300 .830 1.720 Coldef .374 .374 .374 .240 .825 1.160 Coldef .348 .348 .348 .310 .840 1.000 Coldef .602 .602 .602 .550 .875 1.000 Coldef /alp nosh array def /bet nosh array def /i 0 def /j 0 def nosh { alp i j nosh div put bet i 1 j nosh div dup mul sub abs sqrt put /i i 1 add def /j j 1 add def } repeat % 20 20 570 770 Boxd .000 .000 .000 setrgbcolor fill % 20 20 570 770 Boxd 0 setgray stroke 20 20 570 770 Boxd clip % 53 45 {dup mul exch dup mul add 1. exch sub } setscreen /Rol .000 def /Gol .000 def /Bol .000 def /Rbd .000 def /Gbd .000 def /Bbd .000 def .7660 .6428 125.00 Lite 255.18 454.48 10.75 1 CBall % 7 258.42 444.58 270.66 407.24 2.650 2.650 .0000 .299 .299 .299 CBond 260.93 457.28 285.74 469.38 2.650 2.866 .7597 .299 .299 .299 CBond 273.91 397.34 10.75 1 CBall % 8 276.66 393.27 289.04 374.93 2.650 2.903 .8786 .299 .299 .299 CBond 362.48 517.71 10.77 0 CBall % 28 368.51 509.18 390.64 477.88 2.656 2.656 .0000 .846 .846 .846 CBond 357.56 519.03 338.22 524.25 2.656 2.883 .8273 .846 .846 .846 CBond 396.67 469.36 10.77 0 CBall % 31 390.64 460.83 368.51 429.53 2.656 2.656 .0000 .846 .846 .846 CBond 362.48 421.00 10.77 0 CBall % 26 368.51 412.47 390.64 381.17 2.656 2.656 .0000 .846 .846 .846 CBond 357.52 421.04 338.26 421.21 2.656 2.883 .8270 .846 .846 .846 CBond 254.46 454.51 10.77 0 CBall % 5 257.96 444.68 270.89 408.34 2.656 2.656 .0000 .846 .846 .846 CBond 260.62 457.14 286.58 468.21 2.656 2.863 .7353 .846 .846 .846 CBond 396.67 372.64 10.77 0 CBall % 32 390.64 364.12 368.51 332.82 2.656 2.656 .0000 .846 .846 .846 CBond 274.39 398.50 10.77 0 CBall % 6 277.20 394.13 289.23 375.45 2.656 2.896 .8626 .846 .846 .846 CBond 362.48 324.29 10.77 0 CBall % 27 357.08 323.00 334.80 317.67 2.656 2.883 .7984 .846 .846 .846 CBond 293.22 471.04 11.62 0 CBall % 13 300.22 462.26 325.83 430.10 2.863 2.883 .0655 .846 .846 .846 CBond 299.82 480.13 326.24 516.53 2.863 2.883 .0633 .846 .846 .846 CBond 288.86 468.46 272.16 458.59 2.863 3.155 .8838 .846 .846 .846 CBond 291.97 472.42 11.63 1 CBall % 15 288.80 468.18 277.16 452.61 2.866 3.147 .8655 .299 .299 .299 CBond 332.88 421.26 11.70 0 CBall % 20 325.79 412.43 299.41 379.55 2.883 2.896 .0414 .846 .846 .846 CBond 339.81 421.22 367.96 421.05 2.883 3.155 .8289 .846 .846 .846 CBond 332.88 525.69 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1 add def} repeat} bind def /nosh 50 def /ncol 2 def /nos1 nosh 1 add def /cRA nos1 ncol mul array def /cGA nos1 ncol mul array def /cBA nos1 ncol mul array def /ii 0 def .101 .101 .101 .450 .880 1.000 Coldef .567 .567 .567 .300 .830 1.720 Coldef /alp nosh array def /bet nosh array def /i 0 def /j 0 def nosh { alp i j nosh div put bet i 1 j nosh div dup mul sub abs sqrt put /i i 1 add def /j j 1 add def } repeat % 20 20 570 770 Boxd .000 .000 .000 setrgbcolor fill % 20 20 570 770 Boxd 0 setgray stroke 20 20 570 770 Boxd clip % 53 45 {dup mul exch dup mul add 1. exch sub } setscreen /Rol .000 def /Gol .000 def /Bol .000 def /Rbd .000 def /Gbd .000 def /Bbd .000 def .7660 .6428 125.00 Lite 361.04 518.66 10.88 0 CBall % 20 367.13 510.05 389.48 478.45 2.682 2.682 .0000 .846 .846 .846 CBond 356.04 520.01 336.16 525.38 2.682 2.915 .8263 .846 .846 .846 CBond 395.57 469.84 10.88 0 CBall % 23 389.48 461.23 367.13 429.62 2.682 2.682 .0000 .846 .846 .846 CBond 361.04 421.01 10.88 0 CBall % 18 367.13 412.40 389.48 380.79 2.682 2.682 .0000 .846 .846 .846 CBond 356.00 421.00 336.23 420.98 2.682 2.915 .8265 .846 .846 .846 CBond 253.23 453.60 10.88 0 CBall % 3 256.60 443.60 269.13 406.39 2.682 2.682 .0000 .846 .846 .846 CBond 259.06 456.50 283.87 468.85 2.682 2.900 .7559 .846 .846 .846 CBond 395.57 372.18 10.88 0 CBall % 24 389.48 363.57 367.13 331.97 2.682 2.682 .0000 .846 .846 .846 CBond 272.50 396.40 10.88 0 CBall % 4 275.26 392.16 287.11 373.99 2.682 2.930 .8736 .846 .846 .846 CBond 361.04 323.36 10.88 0 CBall % 19 355.63 321.99 333.20 316.33 2.682 2.915 .8021 .846 .846 .846 CBond 290.18 471.99 11.77 0 CBall % 7 296.95 481.15 323.92 517.64 2.900 2.915 .0451 .846 .846 .846 CBond 297.27 463.07 323.63 429.93 2.900 2.915 .0470 .846 .846 .846 CBond 286.35 468.19 272.01 453.98 2.900 3.192 .8679 .846 .846 .846 CBond 330.72 526.85 11.83 0 CBall % 14 337.69 528.52 366.35 535.41 2.915 3.192 .8254 .846 .846 .846 CBond 330.75 420.97 11.83 0 CBall % 12 323.67 411.97 297.25 378.40 2.915 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pop /Times-Bold makeISOEncoded pop /Times-Italic makeISOEncoded pop /Times-BoldItalic makeISOEncoded pop /Helvetica makeISOEncoded pop /Helvetica-Bold makeISOEncoded pop /Helvetica-Oblique makeISOEncoded pop /Helvetica-BoldOblique makeISOEncoded pop 2500 0 translate 90 rotate 0.000000 0.000000 0.000000 setrgbcolor 1 setlinewidth /Times-Italic-ISOLatin1 findfont 60 scalefont setfont [] 0 setdash 9 setlinewidth 522 409 m 522 2090 l 2727 2090 l 2727 409 l 522 409 l stroke 1 setlinewidth [] 0 setdash 6 setlinewidth 522 409 m 522 429 l 742 409 m 742 429 l 963 409 m 963 429 l 1183 409 m 1183 429 l 1404 409 m 1404 429 l 1624 409 m 1624 429 l 1845 409 m 1845 429 l 2066 409 m 2066 429 l 2286 409 m 2286 429 l 2506 409 m 2506 429 l 2727 409 m 2727 429 l 522 2090 m 522 2070 l 742 2090 m 742 2070 l 963 2090 m 963 2070 l 1183 2090 m 1183 2070 l 1404 2090 m 1404 2070 l 1624 2090 m 1624 2070 l 1845 2090 m 1845 2070 l 2066 2090 m 2066 2070 l 2286 2090 m 2286 2070 l 2506 2090 m 2506 2070 l 2727 2090 m 2727 2070 l stroke 9 setlinewidth 522 409 m 522 439 l 963 409 m 963 439 l 1404 409 m 1404 439 l 1845 409 m 1845 439 l 2286 409 m 2286 439 l 2727 409 m 2727 439 l 522 2090 m 522 2060 l 963 2090 m 963 2060 l 1404 2090 m 1404 2060 l 1845 2090 m 1845 2060 l 2286 2090 m 2286 2060 l 2727 2090 m 2727 2060 l /Times-Italic-ISOLatin1 findfont 91 scalefont setfont /Helvetica-ISOLatin1 findfont 91 scalefont setfont stroke 1 setlinewidth 522 333 m gsave 522 333 translate 0 rotate 0 -30 m (-2) CS (-2) show grestore newpath 963 333 m gsave 963 333 translate 0 rotate 0 -30 m (-1) CS (-1) show grestore newpath 1404 333 m gsave 1404 333 translate 0 rotate 0 -30 m (0) CS (0) show grestore newpath 1845 333 m gsave 1845 333 translate 0 rotate 0 -30 m (1) CS (1) show grestore newpath 2286 333 m gsave 2286 333 translate 0 rotate 0 -30 m (2) CS (2) show grestore newpath 2727 333 m gsave 2727 333 translate 0 rotate 0 -30 m (3) CS (3) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont 1624 181 m gsave 1624 181 translate 0 rotate 0 0 m (x-coordinate \(E\)) CS (x-coordinate \(Å\)) show grestore newpath 6 setlinewidth 522 409 m 541 409 l 522 619 m 541 619 l 522 829 m 541 829 l 522 1040 m 541 1040 l 522 1249 m 541 1249 l 522 1459 m 541 1459 l 522 1669 m 541 1669 l 522 1880 m 541 1880 l 522 2090 m 541 2090 l 2727 409 m 2708 409 l 2727 619 m 2708 619 l 2727 829 m 2708 829 l 2727 1040 m 2708 1040 l 2727 1249 m 2708 1249 l 2727 1459 m 2708 1459 l 2727 1669 m 2708 1669 l 2727 1880 m 2708 1880 l 2727 2090 m 2708 2090 l stroke 9 setlinewidth 522 409 m 551 409 l 522 829 m 551 829 l 522 1249 m 551 1249 l 522 1669 m 551 1669 l 522 2090 m 551 2090 l 2727 409 m 2698 409 l 2727 829 m 2698 829 l 2727 1249 m 2698 1249 l 2727 1669 m 2698 1669 l 2727 2090 m 2698 2090 l /Helvetica-ISOLatin1 findfont 91 scalefont setfont stroke 1 setlinewidth 463 409 m gsave 463 409 translate 0 rotate 0 -30 m (-1) RJ (-1) show grestore newpath 463 829 m gsave 463 829 translate 0 rotate 0 -30 m (0) RJ (0) show grestore newpath 463 1249 m gsave 463 1249 translate 0 rotate 0 -30 m (1) RJ (1) show grestore newpath 463 1669 m gsave 463 1669 translate 0 rotate 0 -30 m (2) RJ (2) show grestore newpath 463 2090 m gsave 463 2090 translate 0 rotate 0 -30 m (3) RJ (3) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont 282 1249 m gsave 282 1249 translate 90 rotate 0 0 m (z-coordinate \(E\)) CS (z-coordinate \(Å\)) show grestore newpath 6 setlinewidth 1929 643 m 1928 647 l 1927 651 l 1926 656 l 1924 660 l 1923 665 l 1921 670 l 1919 675 l 1918 680 l 1916 685 l 1915 689 l 1913 694 l 1912 699 l 1911 703 l 1910 707 l 1909 711 l 1909 714 l 1908 716 l 1907 718 l 1907 720 l 1906 721 l 1905 721 l 1905 720 l 1906 719 l 1906 718 l 1907 717 l 1908 715 l 1909 713 l 1910 711 l 1911 708 l 1912 705 l 1914 701 l 1915 698 l 1917 694 l 1918 691 l 1919 687 l 1921 683 l 1922 679 l 1923 675 l 1924 671 l 1925 666 l 1926 662 l 1927 657 l 1928 653 l 1929 648 l 1930 644 l 1931 639 l 1932 635 l 1934 631 l 1936 626 l 1937 622 l 1939 619 l 1941 615 l 1942 611 l 1944 607 l 1945 603 l 1946 599 l 1948 596 l 1949 593 l 1949 590 l 1950 587 l 1951 585 l 1951 583 l 1952 581 l 1952 580 l 1952 579 l 1952 578 l 1952 577 l 1952 576 l 1952 577 l 1952 578 l 1951 579 l 1951 580 l 1951 581 l 1950 583 l 1949 584 l 1949 586 l 1948 588 l 1947 591 l 1946 593 l 1945 596 l 1945 600 l 1944 603 l 1943 608 l 1942 612 l 1941 617 l 1940 622 l 1940 628 l 1939 634 l 1939 640 l 1938 646 l 1938 653 l 1938 659 l 1937 665 l 1937 671 l 1937 676 l 1937 682 l 1938 687 l 1938 692 l 1939 697 l 1940 702 l 1942 707 l 1943 712 l 1945 716 l 1947 720 l 1948 724 l 1950 728 l 1952 731 l 1954 733 l 1957 735 l 1959 737 l 1961 738 l 1963 739 l 1966 739 l 1968 739 l 1970 739 l 1972 738 l 1974 737 l 1976 735 l 1978 734 l 1980 732 l 1981 730 l 1983 727 l 1984 725 l 1986 722 l 1987 720 l 1989 717 l 1990 714 l 1992 711 l 1993 708 l 1995 705 l 1996 701 l 1997 697 l 1997 694 l 1998 690 l 1998 687 l 1998 684 l 1998 680 l 1998 678 l 1997 675 l 1997 673 l 1996 671 l 1996 670 l 1995 669 l 1994 669 l 1993 669 l 1991 670 l 1990 672 l 1988 673 l 1985 676 l 1983 678 l 1980 682 l 1976 685 l 1973 689 l 1969 693 l 1965 698 l 1961 702 l 1957 707 l 1952 711 l 1948 716 l 1944 720 l 1940 724 l 1935 728 l 1931 733 l 1926 737 l 1922 741 l 1918 745 l 1914 749 l 1909 753 l 1905 757 l 1902 761 l 1898 764 l 1895 767 l 1892 769 l 1890 770 l 1888 770 l 1886 770 l 1884 770 l 1883 769 l 1882 768 l 1881 767 l 1880 766 l 1880 764 l 1881 762 l 1881 759 l 1883 756 l 1884 752 l 1887 747 l 1889 741 l 1892 735 l 1896 728 l 1899 721 l 1903 714 l 1907 707 l 1911 700 l 1915 692 l 1919 685 l 1923 678 l 1927 671 l 1931 664 l 1935 657 l 1939 650 l 1943 643 l 1947 636 l 1951 629 l 1955 622 l 1959 616 l 1962 610 l 1965 604 l 1968 599 l 1970 594 l 1972 590 l 1974 586 l 1975 582 l 1977 578 l 1977 575 l 1978 572 l 1979 569 l 1979 566 l 1979 564 l 1979 562 l 1979 561 l 1979 560 l 1978 560 l 1978 561 l 1977 562 l 1977 563 l 1976 565 l 1975 567 l 1974 570 l 1973 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638 l 1843 634 l 1842 629 l 1841 625 l 1840 621 l 1838 617 l 1837 613 l 1836 609 l 1835 606 l 1833 602 l 1832 599 l 1831 596 l 1830 593 l 1830 590 l 1829 587 l 1829 585 l 1829 583 l 1829 582 l 1829 580 l 1830 579 l 1830 578 l 1830 577 l 1831 577 l 1831 576 l 1832 575 l 1833 575 l 1834 575 l 1835 576 l 1836 576 l 1837 577 l 1838 578 l 1839 580 l 1840 581 l 1841 583 l 1842 584 l 1843 586 l 1844 589 l 1845 591 l 1847 594 l 1848 597 l 1849 600 l 1851 603 l 1852 606 l 1854 610 l 1855 613 l 1856 617 l 1858 621 l 1859 624 l 1860 628 l 1861 632 l 1862 637 l 1864 641 l 1865 646 l 1867 651 l 1869 656 l 1871 661 l 1873 666 l 1875 671 l 1877 676 l 1880 680 l 1882 685 l 1885 690 l 1887 695 l 1890 700 l 1892 705 l 1895 709 l 1897 714 l 1900 718 l 1903 722 l 1906 726 l 1910 730 l 1913 734 l 1917 737 l 1921 740 l 1925 742 l 1929 744 l 1933 746 l 1937 747 l 1942 748 l 1946 749 l 1951 750 l 1955 751 l 1959 752 l 1964 753 l 1968 754 l 1972 754 l 1976 754 l 1979 754 l 1983 753 l 1987 752 l 1990 751 l 1994 750 l 1998 749 l 2001 748 l 2005 747 l 2009 746 l 2012 745 l 2016 744 l 2019 743 l 2023 742 l 2026 740 l 2029 738 l 2032 736 l 2034 734 l 2037 732 l 2039 730 l 2040 728 l 2042 726 l 2043 724 l 2044 722 l 2045 721 l 2045 720 l 2046 719 l 2046 717 l 2046 716 l 2046 715 l 2046 713 l 2045 711 l 2044 709 l 2043 707 l 2042 705 l 2041 702 l 2039 700 l 2037 698 l 2034 696 l 2032 694 l 2029 692 l 2026 690 l 2023 689 l 2020 687 l 2017 685 l 2013 683 l 2010 680 l 2006 677 l 2003 675 l 1999 672 l 1995 669 l 1991 667 l 1988 664 l 1984 662 l 1980 660 l 1976 659 l 1973 657 l 1969 656 l 1966 655 l 1962 654 l 1959 653 l 1955 652 l 1952 650 l 1949 649 l 1946 647 l 1943 645 l 1940 643 l 1938 641 l 1936 639 l 1934 637 l 1932 635 l 1931 633 l 1931 631 l 1930 630 l 1930 628 l 1930 627 l 1931 626 l 1932 625 l 1933 624 l 1934 623 l 1936 622 l 1937 621 l 1939 621 l 1941 620 l 1942 619 l 1944 619 l 1946 619 l 1948 618 l 1949 618 l 1951 618 l 1953 619 l 1954 619 l 1956 621 l 1957 622 l 1959 624 l 1960 626 l 1961 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711 l 1964 709 l 1963 708 l 1961 706 l 1960 705 l 1958 704 l 1957 703 l 1955 702 l 1953 701 l 1952 700 l 1950 698 l 1949 697 l 1947 695 l 1946 693 l 1945 691 l 1944 689 l 1943 688 l 1942 686 l 1942 685 l 1941 684 l 1941 683 l 1941 682 l 1940 681 l 1940 680 l 1939 681 l 1939 682 l 1939 683 l 1939 684 l 1939 685 l 1939 687 l 1940 688 l 1940 690 l 1941 692 l 1941 693 l 1942 694 l 1943 696 l 1944 697 l 1945 698 l 1947 700 l 1948 702 l 1950 704 l 1952 706 l 1954 708 l 1956 710 l 1958 711 l 1960 713 l 1962 714 l 1964 715 l 1966 716 l 1967 716 l 1969 716 l 1970 716 l 1972 716 l 1973 716 l 1974 716 l 1975 717 l 1975 718 l 1976 719 l 1977 720 l 1977 722 l 1978 724 l 1978 726 l 1979 728 l 1979 729 l 1979 730 l 1979 731 l 1978 731 l 1978 732 l 1978 733 l 1979 734 l 1979 735 l 1978 736 l 1978 737 l 1978 738 l 1977 738 l 1976 738 l 1975 738 l 1974 737 l 1973 737 l 1971 737 l 1970 737 l 1968 737 l 1967 738 l 1965 739 l 1964 739 l 1962 740 l 1960 740 l 1958 740 l 1956 740 l 1954 739 l 1952 738 l 1949 737 l 1947 736 l 1945 735 l 1942 734 l 1940 734 l 1938 733 l 1936 733 l 1934 732 l 1932 731 l 1930 730 l 1928 728 l 1926 726 l 1924 724 l 1922 721 l 1920 718 l 1919 715 l 1917 713 l 1916 710 l 1914 708 l 1913 706 l 1912 705 l 1912 703 l 1911 702 l 1911 701 l 1911 700 l stroke 1911 700 m 1911 700 m 1911 698 l 1911 697 l 1911 695 l 1911 693 l 1911 691 l 1911 688 l 1912 685 l 1912 682 l 1913 678 l 1914 675 l 1915 671 l 1916 668 l 1918 664 l 1919 661 l 1921 657 l 1923 654 l 1925 650 l 1927 646 l 1929 642 l 1931 638 l 1933 634 l 1935 630 l 1937 626 l 1939 621 l 1941 617 l 1943 613 l 1945 609 l 1947 604 l 1949 600 l 1951 596 l 1952 591 l 1954 587 l 1955 583 l 1957 579 l 1958 575 l 1959 571 l 1960 567 l 1961 563 l 1961 559 l 1962 555 l 1962 552 l 1962 548 l 1962 545 l 1962 542 l 1962 539 l 1961 536 l stroke 1 setlinewidth 6 setlinewidth 822 927 m 822 926 l 822 925 l 823 924 l 823 923 l 823 922 l 824 921 l 824 919 l 825 917 l 825 915 l 826 913 l 826 911 l 827 909 l 827 907 l 828 905 l 829 902 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1565 1344 l 1554 1351 l 1550 1358 l 1555 1364 l 1568 1369 l 1583 1374 l 1597 1377 l 1610 1380 l 1623 1382 l 1635 1383 l 1647 1384 l 1659 1385 l 1671 1386 l 1681 1388 l 1688 1391 l 1691 1394 l 1691 1399 l 1688 1405 l 1683 1411 l 1679 1417 l 1676 1423 l 1677 1428 l 1681 1434 l 1689 1439 l 1702 1443 l 1719 1448 l 1741 1454 l 1764 1460 l 1783 1467 l 1794 1475 l 1796 1483 l 1791 1491 l 1788 1501 l 1790 1511 l 1798 1523 l 1815 1536 l 1839 1551 l 1868 1566 l 1895 1582 l 1915 1597 l 1922 1610 l 1922 1622 l 1920 1634 l 1924 1648 l 1935 1663 l 1955 1680 l 1982 1698 l 2013 1718 l 2041 1736 l 2059 1753 l 2065 1766 l 2064 1778 l 2065 1790 l 2072 1804 l 2087 1820 l 2111 1839 l 2141 1860 l stroke /Helvetica-ISOLatin1 findfont 105 scalefont setfont 1961 536 35 0 360 arc gsave fill grestore stroke 939 922 35 0 360 arc gsave fill grestore stroke /Helvetica-ISOLatin1 findfont 107 scalefont setfont 2462 1963 m 2141 1860 l /Helvetica-ISOLatin1 findfont 92 scalefont setfont stroke 2462 1963 30 0 360 arc gsave fill grestore stroke 2141 1860 30 0 360 arc gsave fill grestore stroke /Helvetica-ISOLatin1 findfont 107 scalefont setfont /Helvetica-ISOLatin1 findfont 89 scalefont setfont 996 799 m gsave 996 799 translate 0 rotate 0 -29 m (Si) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont /Helvetica-ISOLatin1 findfont 89 scalefont setfont 1625 633 m gsave 1625 633 translate 0 rotate 0 -29 m (Si) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont /Helvetica-ISOLatin1 findfont 89 scalefont setfont 1377 1302 m gsave 1377 1302 translate 0 rotate 0 -29 m (D) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont /Helvetica-ISOLatin1 findfont 89 scalefont setfont 2237 1227 m gsave 2237 1227 translate 0 rotate 0 -29 m (D) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont /Helvetica-ISOLatin1 findfont 108 scalefont setfont 2461 672 m gsave 2461 672 translate 0 rotate 0 -36 m ( ) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont showpage @endspecial 1072 x @beginspecial 75 @vscale 75 @hscale -90 @angle 145 @voffset -50 @hoffset @setspecial /m {moveto} bind def /l {lineto} bind def /RJ { stringwidth neg exch neg exch rmoveto } bind def /CS { stringwidth 2 div neg exch 2 div neg exch rmoveto } bind def 0.25 0.25 scale 1 setlinecap mark /ISOLatin1Encoding 8#000 1 8#054 {StandardEncoding exch get} for /minus 8#056 1 8#217 {StandardEncoding exch get} for /dotlessi 8#301 1 8#317 {StandardEncoding exch get} for /space /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis /ISOLatin1Encoding where not {256 array astore def} if cleartomark /makeISOEncoded { findfont /curfont exch def /newfont curfont maxlength dict def /ISOLatin1 (-ISOLatin1) def /curfontname curfont /FontName get dup length string cvs def /newfontname curfontname length ISOLatin1 length add string dup 0 curfontname putinterval dup curfontname length ISOLatin1 putinterval def curfont { exch dup /FID ne { dup /Encoding eq { exch pop ISOLatin1Encoding exch } if dup /FontName eq { exch pop newfontname exch } if exch newfont 3 1 roll put } { pop pop } ifelse } forall newfontname newfont definefont } def /Times-Roman makeISOEncoded pop /Times-Bold makeISOEncoded pop /Times-Italic makeISOEncoded pop /Times-BoldItalic makeISOEncoded pop /Helvetica makeISOEncoded pop /Helvetica-Bold makeISOEncoded pop /Helvetica-Oblique makeISOEncoded pop /Helvetica-BoldOblique makeISOEncoded pop 2500 0 translate 90 rotate /Times-Italic-ISOLatin1 findfont 78 scalefont setfont [] 0 setdash 9 setlinewidth 522 530 m 522 2210 l 2727 2210 l 2727 530 l 522 530 l stroke 1 setlinewidth [] 0 setdash 9 setlinewidth 522 530 m 522 549 l 674 530 m 674 549 l 826 530 m 826 549 l 978 530 m 978 549 l 1130 530 m 1130 549 l 1282 530 m 1282 549 l 1434 530 m 1434 549 l 1586 530 m 1586 549 l 1739 530 m 1739 549 l 1891 530 m 1891 549 l 2043 530 m 2043 549 l 2195 530 m 2195 549 l 2347 530 m 2347 549 l 2499 530 m 2499 549 l 2651 530 m 2651 549 l 522 2210 m 522 2191 l 674 2210 m 674 2191 l 826 2210 m 826 2191 l 978 2210 m 978 2191 l 1130 2210 m 1130 2191 l 1282 2210 m 1282 2191 l 1434 2210 m 1434 2191 l 1586 2210 m 1586 2191 l 1739 2210 m 1739 2191 l 1891 2210 m 1891 2191 l 2043 2210 m 2043 2191 l 2195 2210 m 2195 2191 l 2347 2210 m 2347 2191 l 2499 2210 m 2499 2191 l 2651 2210 m 2651 2191 l stroke 522 530 m 522 560 l 826 530 m 826 560 l 1130 530 m 1130 560 l 1434 530 m 1434 560 l 1739 530 m 1739 560 l 2043 530 m 2043 560 l 2347 530 m 2347 560 l 2651 530 m 2651 560 l 522 2210 m 522 2180 l 826 2210 m 826 2180 l 1130 2210 m 1130 2180 l 1434 2210 m 1434 2180 l 1739 2210 m 1739 2180 l 2043 2210 m 2043 2180 l 2347 2210 m 2347 2180 l 2651 2210 m 2651 2180 l /Times-Italic-ISOLatin1 findfont 90 scalefont setfont /Helvetica-ISOLatin1 findfont 90 scalefont setfont stroke 1 setlinewidth 522 455 m gsave 522 455 translate 0 rotate 0 -30 m (920) CS (920) show grestore newpath 826 455 m gsave 826 455 translate 0 rotate 0 -30 m (940) CS (940) show grestore newpath 1130 455 m gsave 1130 455 translate 0 rotate 0 -30 m (960) CS (960) show grestore newpath 1434 455 m gsave 1434 455 translate 0 rotate 0 -30 m (980) CS (980) show grestore newpath 1739 455 m gsave 1739 455 translate 0 rotate 0 -30 m (1000) CS (1000) show grestore newpath 2043 455 m gsave 2043 455 translate 0 rotate 0 -30 m (1020) CS (1020) show grestore newpath 2347 455 m gsave 2347 455 translate 0 rotate 0 -30 m (1040) CS (1040) show grestore newpath 2651 455 m gsave 2651 455 translate 0 rotate 0 -30 m (1060) CS (1060) show grestore newpath /Helvetica-ISOLatin1 findfont 108 scalefont setfont 1624 305 m gsave 1624 305 translate 0 rotate 0 0 m (Time \(fs\)) CS (Time \(fs\)) show grestore newpath 9 setlinewidth 522 530 m 541 530 l 522 614 m 541 614 l 522 698 m 541 698 l 522 782 m 541 782 l 522 865 m 541 865 l 522 950 m 541 950 l 522 1034 m 541 1034 l 522 1118 m 541 1118 l 522 1202 m 541 1202 l 522 1286 m 541 1286 l 522 1370 m 541 1370 l 522 1454 m 541 1454 l 522 1538 m 541 1538 l 522 1622 m 541 1622 l 522 1705 m 541 1705 l 522 1789 m 541 1789 l 522 1874 m 541 1874 l 522 1957 m 541 1957 l 522 2042 m 541 2042 l 522 2126 m 541 2126 l 2727 530 m 2708 530 l 2727 614 m 2708 614 l 2727 698 m 2708 698 l 2727 782 m 2708 782 l 2727 865 m 2708 865 l 2727 950 m 2708 950 l 2727 1034 m 2708 1034 l 2727 1118 m 2708 1118 l 2727 1202 m 2708 1202 l 2727 1286 m 2708 1286 l 2727 1370 m 2708 1370 l 2727 1454 m 2708 1454 l 2727 1538 m 2708 1538 l 2727 1622 m 2708 1622 l 2727 1705 m 2708 1705 l 2727 1789 m 2708 1789 l 2727 1874 m 2708 1874 l 2727 1957 m 2708 1957 l 2727 2042 m 2708 2042 l 2727 2126 m 2708 2126 l stroke 522 530 m 552 530 l 522 698 m 552 698 l 522 865 m 552 865 l 522 1034 m 552 1034 l 522 1202 m 552 1202 l 2727 530 m 2697 530 l 2727 698 m 2697 698 l 2727 865 m 2697 865 l 2727 1034 m 2697 1034 l 2727 1202 m 2697 1202 l /Helvetica-ISOLatin1 findfont 90 scalefont setfont stroke 1 setlinewidth 464 530 m gsave 464 530 translate 0 rotate 0 -30 m (0.0) RJ (0.0) show grestore newpath 464 698 m gsave 464 698 translate 0 rotate 0 -30 m (0.1) RJ (0.1) show grestore newpath 464 865 m gsave 464 865 translate 0 rotate 0 -30 m (0.2) RJ (0.2) show grestore newpath 464 1034 m gsave 464 1034 translate 0 rotate 0 -30 m (0.3) RJ (0.3) show grestore newpath 464 1202 m gsave 464 1202 translate 0 rotate 0 -30 m (0.4) RJ (0.4) show grestore newpath /Helvetica-ISOLatin1 findfont 108 scalefont setfont 272 1370 m gsave 272 1370 translate 90 rotate 0 0 m (Energy \(eV\)) CS (Energy \(eV\)) show grestore newpath 9 setlinewidth 522 631 m 528 641 l 546 670 l 565 700 l 583 727 l 601 711 l 619 625 l 638 546 l 657 537 l 676 591 l 694 627 l 712 620 l 730 594 l 749 568 l 767 544 l 785 530 l 803 544 l 822 587 l 840 637 l 860 659 l 878 614 l 896 545 l 914 532 l 933 554 l 951 559 l 969 550 l 987 543 l 1006 538 l 1024 534 l 1044 530 l 1062 531 l 1080 540 l 1098 561 l 1117 592 l 1135 605 l 1153 556 l 1171 531 l 1190 580 l 1208 617 l 1226 583 l 1246 535 l 1264 535 l 1282 550 l 1301 546 l 1319 535 l 1337 530 l 1355 530 l 1374 530 l 1392 536 l 1410 582 l 1430 667 l 1448 714 l 1466 680 l 1485 615 l 1503 562 l 1521 532 l 1539 538 l 1558 582 l 1576 650 l 1594 725 l 1612 749 l 1632 672 l 1650 578 l 1669 532 l 1687 541 l 1705 600 l 1723 679 l 1742 743 l 1760 760 l 1778 767 l 1796 766 l 1815 747 l 1834 700 l 1853 626 l 1871 554 l 1889 530 l 1907 566 l 1926 618 l 1944 639 l 1962 620 l 1980 580 l 1999 542 l 2018 530 l 2037 562 l 2055 650 l 2073 783 l 2091 889 l 2110 831 l 2128 608 l 2146 545 l 2164 734 l 2183 836 l 2201 730 l 2221 581 l 2239 531 l 2257 630 l 2275 817 l 2294 901 l 2312 708 l 2330 530 l 2348 708 l 2367 890 l 2385 788 l 2405 596 l 2423 532 l 2441 654 l 2459 857 l 2478 881 l 2496 629 l 2514 553 l 2532 801 l 2551 889 l 2569 717 l 2587 550 l 2607 562 l 2625 743 l 2643 900 l stroke 1 setlinewidth 9 setlinewidth [40 20 12 20] 0 setdash 522 559 m 528 571 l 546 635 l 565 679 l 583 680 l 601 649 l 619 616 l 638 633 l 657 671 l 676 678 l 694 647 l 712 587 l 730 540 l 749 540 l 767 627 l 785 777 l 803 867 l 822 818 l 840 694 l 860 609 l 878 592 l 896 662 l 914 786 l 933 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show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont /Helvetica-ISOLatin1 findfont 89 scalefont setfont 2263 1467 m gsave 2263 1467 translate 0 rotate 0 -29 m (D) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont showpage @endspecial 1072 x @beginspecial 75 @vscale 83 @hscale -90 @angle 145 @voffset -50 @hoffset @setspecial /m {moveto} bind def /l {lineto} bind def /RJ { stringwidth neg exch neg exch rmoveto } bind def /CS { stringwidth 2 div neg exch 2 div neg exch rmoveto } bind def 0.25 0.25 scale 1 setlinecap mark /ISOLatin1Encoding 8#000 1 8#054 {StandardEncoding exch get} for /minus 8#056 1 8#217 {StandardEncoding exch get} for /dotlessi 8#301 1 8#317 {StandardEncoding exch get} for /space /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla 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24 23 bop -150 -83 a Fv(tion)29 b(p)r(ositions.)39 b(Instead,)29 b(the)g(molecular)e(dynamics)i(calcula-)-150 17 y(tions)34 b(w)n(ere)g(initialized)g(with)h(the)g(h)n(ydrogen)e(atoms)h(close)g (to)-150 116 y(the)20 b(transition)f(state)g(with)h(initial)g(v)n(elo)r (cit)n(y)f(distributions)g(that)-150 216 y(corresp)r(ond)32 b(to)i(the)h(surface)e(temp)r(eratures)g(used)h(in)h(the)f(ex-)-150 315 y(p)r(erimen)n(ts.)i(In)25 b(the)g(sup)r(ercell)g(calculations,)f (additionally)g(the)-150 415 y(time-rev)n(ersed)f(tra)5 b(jectories)23 b(starting)h(at)h(the)g(transition)g(state)-150 515 y(w)n(ere)i(determined)h(in)g(order)e(to)i(mak)n(e)f(sure)g(that)h (all)g(tra)5 b(jecto-)-150 614 y(ries)18 b(corresp)r(ond)f(indeed)i(to) g(desorption)f(and)g(not)h(to)f(scattering)-150 714 y(ev)n(en)n(ts)27 b([58].)-67 814 y(In)34 b(the)h(DFT-GGA)g(calculations)e(additional)h (tra)5 b(jectories)-150 913 y(w)n(ere)28 b(determined)h(with)g(the)h (Si)f(lattice)g(initially)g(at)f(rest,)h(i.e.,)-150 1013 y(at)20 b(a)g(surface)g(temp)r(erature)g(of)h Fo(T)882 1025 y Fl(s)940 1013 y Fv(=)h(0)e(K.)g(Snapshots)g(of)h(suc)n(h)f(a) -150 1112 y(calculated)h(tra)5 b(jectory)21 b(are)g(sho)n(wn)g(in)h (Fig.)g(16b\).)34 b(The)22 b(dark)f(Si)-150 1212 y(atoms)k(corresp)r (ond)f(to)i(the)g(relaxation)e(of)i(the)g(Si)g(lattice)g(after)-150 1312 y(the)20 b(desorption)f(ev)n(en)n(t.)34 b(Appro)n(ximately)18 b(0.1)h(eV)h(of)g(the)g(p)r(oten-)-150 1411 y(tial)25 b(energy)g(at)g(the)g(transition)g(state)g(is)g(transferred)f(to)i (vibra-)-150 1511 y(tions)21 b(of)g(the)h(Si)g(lattice)f(whic)n(h)g(is) g(a)g(rather)f(large)g(amoun)n(t)h(com-)-150 1611 y(pared)e(to)g(h)n (ydrogen/metal)e(systems.)34 b(A)n(t)19 b(the)h(transition)f(state)-150 1710 y(the)37 b(in)n(teratomic)g(h)n(ydrogen)e(distance)i(is)g(ab)r (out)g(40\045)f(larger)-150 1810 y(than)28 b(the)g(gas-phase)e(b)r(ond) i(length;)h(consequen)n(tly)e(molecular)-150 1910 y(vibrations)35 b(are)f(excited)i(during)g(the)g(desorption,)h(as)e(is)h(w)n(ell)-150 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Fq(ab)i(initio)f Fv(molecular)e(dynam-)2042 4500 y(ics)36 b(calculations)f(the)h(dynamics)g(of)g(the)h(h)n(ydrogen) d(n)n(uclei)i(is)2042 4599 y(treated)44 b(fully)i(classically)-7 b(,)48 b(there)d(are)f(no)g(zero-p)r(oin)n(t)g(ener-)2042 4699 y(gies)d(considered.)77 b(Since)42 b(the)g(H)3148 4711 y Fm(2)3227 4699 y Fv(zero-p)r(oin)n(t)e(energy)g(is)i(so)2042 4799 y(large)d(\(three)j(times)f(larger)e(than)i(the)g(thermal)g (energies)f(in)2042 4898 y(the)25 b(exp)r(erimen)n(t\))g(it)g(mak)n(es) f(no)g(sense)g(comparing)g(a)g(v)-5 b(alue)24 b(de-)2042 4998 y(riv)n(ed)34 b(from)h(a)f(quan)n(tum)h(mec)n(hanical)f(analysis)g (with)i(a)e(clas-)2042 5098 y(sically)f(obtained)h(v)-5 b(alue.)57 b(Therefore)34 b(I)g(ha)n(v)n(e)f(put)i(in)g(T)-7 b(ab.)34 b(I)r(I)2042 5197 y(for)e(the)i(exp)r(erimen)n(tal)e(mean)h (vibrational)e(energy)h(the)h(v)-5 b(alue)2042 5297 y Fn(h)p Fo(E)2135 5309 y Fl(v)r(ib)2227 5297 y Fn(i)2259 5267 y Fl(exp)2390 5297 y Fv(=)23 b Fo(k)2521 5309 y Fl(B)2578 5297 y Fo(T)2627 5309 y Fl(v)r(ib)2719 5297 y Fv(,)i(where)f Fo(T)3053 5309 y Fl(v)r(ib)3168 5297 y Fv(=)f(1700)g(K)h(w)n(as)f(tak)n(en)i(from)2042 5396 y(the)19 b(measured)f(p)r(opulation)h([215].)33 b(This)19 b(pro)r(cedure)f(is)g(also)g(not)1926 5645 y(24)p eop %%Page: 25 25 25 24 bop -150 -63 4235 4 v -150 -43 V 548 65 4 92 v 946 37 a Fa(h)p Fe(E)1033 45 y Fd(tot)1115 37 y Fa(i)p 1244 65 V 489 w(h)p Fe(E)1721 46 y Fd(k)q(in)1819 37 y Fa(i)p 1940 65 V 487 w(h)p Fe(E)2423 46 y Fd(v)r(ib)2509 37 y Fa(i)p 2635 65 V 491 w(h)p Fe(E)3117 45 y Fd(r)r(ot)3206 37 y Fa(i)p 3331 65 V 561 w(h)p Fe(\022)3863 46 y Fd(f)3903 37 y Fa(i)p -150 68 4235 4 v -150 132 a Ft(D)-91 140 y Ff(2)-57 132 y Ft(,)26 b(MH,)g(DFT-GGA)p 548 159 4 92 v 329 w(0)p Fe(:)p Ft(70)19 b Fa(\006)d Ft(0)p Fe(:)p Ft(18)p 1244 159 V 331 w(0)p Fe(:)p Ft(55)i Fa(\006)f Ft(0)p Fe(:)p Ft(14)p 1940 159 V 331 w(0)p Fe(:)p Ft(12)h Fa(\006)f Ft(0)p Fe(:)p Ft(09)p 2635 159 V 330 w(0)p Fe(:)p Ft(03)i Fa(\006)e Ft(0)p Fe(:)p Ft(05)p 3331 159 V 330 w(39)p Fe(:)p Ft(6)3780 100 y Fc(\016)3835 132 y Fa(\006)g Ft(10)p Fe(:)p Ft(1)4047 100 y Fc(\016)-150 223 y Ft(H)-92 231 y Ff(2)-58 223 y Ft(,)26 b(MH,)g(CASSCF)p 548 251 V 394 w(0)p Fe(:)p Ft(72)19 b Fa(\006)d Ft(0)p Fe(:)p Ft(20)p 1244 251 V 369 w(0)p Fe(:)p Ft(6)i Fa(\006)f Ft(0)p Fe(:)p Ft(1)p 1940 251 V 369 w(0)p Fe(:)p Ft(09)h Fa(\006)f Ft(0)p Fe(:)p Ft(08)p 2635 251 V 330 w(0)p Fe(:)p Ft(03)i Fa(\006)e Ft(0)p Fe(:)p Ft(02)p 3331 251 V 409 w(56)3800 192 y Fc(\016)3854 223 y Fa(\006)g Ft(7)3969 192 y Fc(\016)-150 315 y Ft(H)-92 323 y Ff(2)-58 315 y Ft(,)26 b(ID,)f(CASSCF)p 548 342 V 436 w(0)p Fe(:)p Ft(94)19 b Fa(\006)d Ft(0)p Fe(:)p Ft(20)p 1244 342 V 369 w(0)p Fe(:)p Ft(7)i Fa(\006)f Ft(0)p Fe(:)p Ft(1)p 1940 342 V 407 w(0)p Fe(:)p Ft(2)h Fa(\006)f Ft(0)p Fe(:)p Ft(1)p 2635 342 V 368 w(0)p Fe(:)p Ft(04)i Fa(\006)e Ft(0)p Fe(:)p Ft(03)p 3331 342 V 390 w(43)3781 283 y Fc(\016)3835 315 y Fa(\006)g Ft(17)3988 283 y Fc(\016)-150 406 y Ft(D)-91 414 y Ff(2)-57 406 y Ft(,)26 b(Exp)r(erimen)n(t)p 548 433 V 479 w(0)p Fe(:)p Ft(34)19 b Fa(\006)d Ft(0)p Fe(:)p Ft(05)p 1244 433 V 331 w(0)p Fe(:)p Ft(17)i Fa(\006)f Ft(0)p Fe(:)p Ft(03)p 1940 433 V 331 w(0)p Fe(:)p Ft(15)h Fa(\006)f Ft(0)p Fe(:)p Ft(03)p 2635 433 V 330 w(0)p Fe(:)p Ft(03)i Fa(\006)e Ft(0)p Fe(:)p Ft(01)p 3331 433 V 390 w(28)3781 374 y Fc(\016)3835 406 y Fa(\000)g Ft(31)3988 374 y Fc(\016)p -150 453 4235 4 v -150 473 V -73 637 a Ft(T)-6 b(ABLE)27 b(I)r(I.)47 b(Mean)32 b(energy)h(distribution)f (and)g(\014nal)h(desorption)f(angle)i(of)f(h)n(ydrogen)f(molecules)g (desorbing)h(from)g(a)f(Si\(100\))i(surface.)-150 729 y(The)c(results)h(of)f(the)g(DFT-GGA)g(calculations)i(are)e(a)n(v)n (eraged)h(o)n(v)n(er)e(34)i(desorption)f(tra)t(jectories)j(corresp)r (onding)e(to)f(D)3484 737 y Ff(2)3548 729 y Ft(desorption)g(from)-150 820 y(the)c(monoh)n(ydride)e(\(MH\))i(phase)h(at)f(a)h(surface)g(temp)r (erature)e(of)i Fe(T)1862 828 y Fd(s)1917 820 y Ft(=)22 b(920)28 b(K)e(\()p Fe(k)2297 828 y Fd(B)2349 820 y Fe(T)2394 828 y Fd(s)2449 820 y Ft(=)c(0)p Fe(:)p Ft(079)29 b(eV\))c([58].)38 b(The)26 b(cluster)h(calculations)h(at)e(the)-150 911 y(CASSCF)k(lev)n(el)h(for)g(H)544 919 y Ff(2)609 911 y Ft(desorption)f(from)g(a)h(MH)f(and)g(an)h(isolated)g(dih)n(ydride)f (\(ID\))f(are)i(a)n(v)n(eraged)g(o)n(v)n(er)f(ten)g(tra)t(jectories)i (for)g(eac)n(h)e(case)-150 1002 y(at)g(a)f(surface)i(temp)r(erature)d (of)i Fe(T)855 1010 y Fd(s)916 1002 y Ft(=)d(780)j(K)f(\()p Fe(k)1306 1010 y Fd(B)1359 1002 y Fe(T)1404 1010 y Fd(s)1464 1002 y Ft(=)f(0)p Fe(:)p Ft(067)j(eV\))e([59].)47 b(The)29 b(exp)r(erimen)n(tal)g(results)h(are)g(collected)g(from)f(Ref.)h([56].) 47 b(The)-150 1094 y(translational)32 b(energy)f(has)f(b)r(een)h(b)r (een)f(determined)f(in)h(a)h(laser-induced)f(desorption)h(exp)r(erimen) n(t)e(where)i(the)f(surface)i(temp)r(erature)d(w)n(as)-150 1185 y(estimated)d(to)g(b)r(e)g Fe(T)445 1193 y Fd(s)499 1185 y Ft(=)c(920)27 b(K)f([190])h(while)g(the)f(vibrational)h(and)e (rotational)j(energy)e(ha)n(v)n(e)f(b)r(een)h(measured)f(at)h(a)g (surface)h(temp)r(erature)e(of)-150 1276 y Fe(T)-105 1284 y Fd(s)-51 1276 y Ft(=)c(780)h(K)d([215].)35 b(The)20 b(mean)f(vibrational)i(energy)f(corresp)r(onds)g(to)g(the)g(classical)j (v)l(alue)c(using)h(the)g(vibrational)h(temp)r(erature)e(measured)g(in) -150 1368 y(the)i(exp)r(erimen)n(t)f(\(see)i(text\).)32 b(The)22 b(exp)r(erimen)n(tal)e(mean)h(desorption)g(angles)i(are)f (deriv)n(ed)f(from)g(Ref.)h([216],)i(where)e(the)f(angular)h (distribution)-150 1459 y(in)k(desorption)g(has)g(b)r(een)f(measured)g (for)h(t)n(w)n(o)h(di\013eren)n(t)e(h)n(ydrogen)g(co)n(v)n(erages.)-150 1739 y Fv(ideal,)31 b(but)h(certainly)e(closer)f(to)i(a)f(classical)f (analysis.)45 b(A)31 b(real)-150 1839 y(quan)n(titativ)n(e)25 b(comparison)f(b)r(et)n(w)n(een)i(exp)r(erimen)n(t)g(and)f(theory)-150 1939 y(can)38 b(only)h(b)r(e)g(done)f(for)h(a)f(quan)n(tum)h(treatmen)n (t)f(of)h(the)g(h)n(y-)-150 2038 y(drogen)c(vibrational)g(dynamics.)62 b(In)36 b(the)h(three-dimensional)-150 2138 y(quan)n(tum)30 b(dynamical)g(studies,)h(e.g,)g(the)g(correct)e(exp)r(erimen-)-150 2237 y(tal)k(p)r(opulation)f(of)h(vibrationally)e(excited)i(states)g (in)g(desorp-)-150 2337 y(tion)28 b(is)f(repro)r(duced)g ([191,192,213].)32 b(These)27 b(problems)g(do)g(not)-150 2437 y(arise)i(for)g(the)i(mean)f(translational)e(and)i(rotational)f (energies.)-150 2536 y(Since)d(these)g(mo)r(des)f(are)g(free)h(in)g (the)g(gas-phase,)e(there)i(are)f(no)-150 2636 y(zero-p)r(oin)n(t)h (energies)h(asso)r(ciated)f(with)i(them.)-67 2736 y(F)-7 b(urthermore,)26 b(in)i(Ref.)g([59])e(a)h(mean)g(exp)r(erimen)n(tal)g (kinetic)-150 2835 y(energy)33 b(of)h(0.34)f(eV)h(for)g(H)734 2847 y Fm(2)806 2835 y Fv(desorption)f(w)n(as)g(deriv)n(ed)g(whic)n(h) -150 2935 y(w)n(as)42 b(said)g(to)g(b)r(e)h(scaled)f(from)h(the)g(exp)r (erimen)n(tal)f(v)-5 b(alue)42 b(of)-150 3034 y(0.17)c(eV)i(for)g(D)379 3046 y Fm(2)416 3034 y Fv(.)74 b(This)40 b(scaling)e(seems)i(v)n(ery)e 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b(an)g(isotop)r(e)g(e\013ect)g (due)g(to)g(quan)n(tum)g(mec)n(hanical)f(e\013ects)-150 4031 y(or)26 b(due)h(to)g(energy)f(transfer)g(to)h(the)g(silicon)g (lattice.)36 b(Ho)n(w)n(ev)n(er,)-150 4130 y(the)27 b(sign)g(and)g (magnitude)g(of)g(this)g(isotop)r(e)g(e\013ect)g(is)g(not)g(clear)-150 4230 y Fq(a)f(priori)p Fv(;)g(it)d(has)f(to)h(b)r(e)g(determined)f(b)n (y)h(detailed)f(calculations.)-150 4330 y(Certainly)27 b(it)i(do)r(es)f(not)g(follo)n(w)g(suc)n(h)f(a)h(simple)g(scaling)g(la) n(w)f(as)-150 4429 y(assumed)g(in)h(Ref.)g([59].)-67 4529 y(Comparing)36 b(the)i(theoretical)f(and)h(exp)r(erimen)n(tal)f (data)g(in)-150 4628 y(T)-7 b(ab.)23 b(I)r(I,)h(it)f(should)g (furthermore)f(b)r(e)h(noted)g(that)g(the)g(rep)r(orted)-150 4728 y(theoretical)31 b(v)-5 b(alues)32 b(do)g(not)g(really)f(corresp)r (ond)g(to)g(an)n(y)h(ther-)-150 4828 y(mal)39 b(a)n(v)n(erage.)68 b(F)-7 b(or)39 b(that)g(purp)r(ose)f(the)i(n)n(um)n(b)r(er)e(of)h(34)g (and)-150 4927 y(10)29 b(calculated)g(tra)5 b(jectories,)28 b(resp)r(ectiv)n(ely)-7 b(,)30 b(is)f(m)n(uc)n(h)h(to)r(o)f(lo)n(w.) -150 5027 y(Hence)e(the)g(theoretical)f(results)g(ha)n(v)n(e)f(to)i(b)r (e)g(in)n(terpreted)f(cau-)-150 5127 y(tiously)-7 b(.)41 b(Still)30 b(they)f(should)g(b)r(e)h(able)e(to)h(indicate)g(the)h (general)-150 5226 y(trends)f(in)h(the)h(energy)d(distribution)i(of)g (desorbing)e(molecules)-150 5326 y(since)34 b(in)g(thermal)g (desorption)f(the)i(molecules)e(mainly)h(origi-)2042 1739 y(nate)20 b(from)g(a)g(small)g(fraction)g(of)g(the)h (con\014guration)d(space)i(close)2042 1839 y(to)28 b(the)g(transition)f (state)h(\(the)g(so-called)f(k)n(eyhole)f(e\013ect)j([26]\).)2042 1939 y(As)35 b(for)f(the)i(mean)f(desorption)f(angle,)i(note)f(that)g (this)g(v)-5 b(alue)2042 2038 y(corresp)r(ond)28 b(to)h(an)g(a)n(v)n (erage)e(o)n(v)n(er)h(all)h(azim)n(uthal)g(angles)g(with)2042 2138 y(0)23 b Fn(\024)h Fo(\022)2235 2150 y Fl(f)2302 2138 y Fo(<)g Fv(90)2475 2108 y Fh(\016)2512 2138 y Fv(.)39 b(Hence)28 b(ev)n(en)g(if)g(the)h(angular)d(distribution)j(for)2042 2237 y(\014xed)36 b(azim)n(uth)f(is)h(p)r(eak)n(ed)g(in)g(the)g (direction)f(normal)g(to)h(the)2042 2337 y(surface,)27 b Fn(h)p Fo(\022)2416 2349 y Fl(f)2459 2337 y Fn(i)h Fv(will)g(still)g(b)r(e)g(larger)d(than)j(zero.)2125 2437 y(It)h(is)g(ob)n(vious)e(that)j(all)e(sim)n(ulations)g(repro)r (duce)g(the)h(vibra-)2042 2536 y(tional)41 b(heating,)46 b(i.e.)80 b Fn(h)p Fo(E)2907 2548 y Fl(v)r(ib)2999 2536 y Fn(i)24 b Fo(>)e(k)3185 2548 y Fl(B)3243 2536 y Fo(T)3292 2548 y Fl(s)3327 2536 y Fv(,)46 b(and)41 b(the)i(rotational)2042 2636 y(co)r(oling,)h(i.e.)78 b Fn(h)p Fo(E)2643 2648 y Fl(r)r(ot)2738 2636 y Fn(i)23 b Fo(<)g(k)2924 2648 y Fl(B)2981 2636 y Fo(T)3030 2648 y Fl(s)3065 2636 y Fv(.)78 b(The)41 b(\014nal)h(desorption)e(an-)2042 2736 y(gles)21 b(are)h(sligh)n(tly)f(larger)g(than)h(the)h(exp)r(erimen)n (tal)e(result)h([216].)2042 2835 y(The)41 b(mean)g(kinetic)h(energy)-7 b(,)44 b(ho)n(w)n(ev)n(er,)f(is)e(m)n(uc)n(h)g(larger)f(for)2042 2935 y(all)g Fq(ab)i(initio)g Fv(molecular)d(dynamics)h(calculations)f (than)i(the)2042 3034 y(exp)r(erimen)n(tal)i(v)-5 b(alue)43 b(for)g(D)2990 3046 y Fm(2)3072 3034 y Fv(of)g Fn(h)p Fo(E)3275 3046 y Fl(k)q(in)3381 3034 y Fn(i)3413 3004 y Fl(exp)3571 3034 y Fv(=)49 b(0)p Fo(:)p Fv(17)43 b(eV)4020 3013 y Fo(>)4020 3059 y Fn(\030)2042 3134 y Fv(2)p Fo(k)2127 3146 y Fl(B)2184 3134 y Fo(T)2233 3146 y Fl(s)2301 3134 y Fv([190].)52 b(In)33 b(the)g(cluster)g(calculations,)g(molecules)g (des-)2042 3234 y(orbing)f(from)h(the)h(isolated)f(dih)n(ydride)g(are)g (ev)n(en)g(faster)g(than)2042 3333 y(molecules)22 b(desorbing)f(from)h (the)g(monoh)n(ydride.)34 b(It)23 b(is)f(remark-)2042 3433 y(able)27 b(that)g(the)h(results)f(of)g(the)g(sup)r(ercell)g(and)g (the)h(cluster)f(cal-)2042 3533 y(culations)32 b(are)h(rather)f (similiar)g(for)h(the)g(mean)g(\014nal)g(energies)2042 3632 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F}?}b/selectcolorrendering{@/ColorRendering resourcestatus{! !/ColorRendering}{!/DefaultColorRendering/ColorRendering}? findresource setcolorrendering}b}e /bullets{{/bullet}repeat}b/ANSIEncoding[/grave/acute/circumflex/tilde/macron /breve/dotaccent/dieresis/ring/cedilla/hungarumlaut/ogonek/caron/dotlessi 18 bullets StandardEncoding 32 95 getinterval aload ! 3 bullets/quotesinglbase /florin/quotedblbase/ellipsis/dagger/daggerdbl/circumflex/perthousand/Scaron /guilsinglleft/OE 4 bullets/quoteleft/quoteright/quotedblleft/quotedblright /bullet/endash/emdash/tilde/trademark/scaron/guilsinglright/oe 2 bullets /Ydieresis/space/exclamdown/cent/sterling/currency/yen/brokenbar/section /dieresis/copyright/ordfeminine/guillemotleft/logicalnot/hyphen/registered /macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph /periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter /onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis /Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute /Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls /agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve /oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex /udieresis/yacute/thorn/ydieresis]| ANSIEncoding @ 39/quotesingle put 96/grave put/ANSIEncodingOld ANSIEncoding 256 array copy | ANSIEncodingOld @[138 153 154 169 172 174 177 178 179 181 185 188 189 190 208 215 221 222 240 247 253 254]{/bullet put @}forall 166/bar put 176/ring put /TextInit{TextInitialised? not{/Pscript_Windows_Font & |/TextInitialised? 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F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{rF}{3 copyfont}? ` /OrigFontType ~ |/OrigFontName ~ | & E 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM makefont Pscript_Windows_Font 3 1 $ put}b/xF{scalefont Pscript_Windows_Font 3 1 $ put}b/xMF{mFM astore makefont Pscript_Windows_Font 3 1 $ put}b/xF2/scalefont , |/xMF2{mFM astore makefont}b/sLT{: Lw -M currentpoint snap M 0 - 0 Lc K ;}b/sSU{N/uW ~ |/yUP ~ |/xUP ~ |}b/sU{xUP yUP uW sLT}b/sST{N/sW ~ |/ySP ~ |/xSP ~ |}b/sT{xSP ySP sW sLT}b/sR{: + R 0 0 M}b /sRxy{: matrix astore concat 0 0 M}b/eR/; , | /mBF{@ 4 copyfont `/FontName ~ |/OrigFontType ~ |/OrigFontName ~ | 0 FontMatrix idtransform ! &/PaintType known{PaintType 0 eq{/PaintType 2 | /StrokeWidth ~ |}{PaintType 1 eq PaintType 2 eq or PaintType 3 eq or & /StrokeWidth known and{StrokeWidth add/StrokeWidth ~ |}{!}?}?}{!}? @ & E definefont Pscript_Windows_Font 3 1 $ put}b/xBF{Pscript_Windows_Font ` 1 ^ /FontName get 1 ^ scalefont 3 1 $ scalefont 2 copy ~ | ~ ! | E}b/xMBF{mFM astore Pscript_Windows_Font ` 1 ^/FontName get 1 ^ makefont 3 1 $ makefont 2 copy ~ | ~ ! | E}b/xBF2{/sB0 ~ mBF/sB1 sB0 3 -1 $ xBF sB1}b/xMBF2{/sB0 ~ mBF mFM astore/sB1 sB0 3 -1 $ xMBF sB1}b/sB{: Pscript_Windows_Font currentfont get Ji @ S ; S}b/asB{: Pscript_Windows_Font currentfont get Ji 3 copy A ; A}b/wsB{ : Pscript_Windows_Font currentfont get Ji 4 copy W ; W}b/awsB{: Pscript_Windows_Font currentfont get Ji 6 copy D ; D}b/sBT3{: @ S ; 1 1 -M S}b /asBT3{: 3 copy A ; 1 1 -M A}b/wsBT3{: 4 copy W ; 1 1 -M W}b/awsBT3{: 6 copy D ; 1 1 -M D}b/mIF{iMat 4 3 -1 $ put 2 copyfont `/OrigFontType ~ |/OrigFontName ~ | @ & E definefont iMat makefont Pscript_Windows_Font 3 1 $ put}b /SavedCTM null |/CTMsave{/SavedCTM SavedCTM currentmatrix |}b/CTMrestore{ SavedCTM setmatrix}b/mp null |/ADO_mxRot null |/GDIHMatrix null | /GDIHPatternDict 22 dict | GDIHPatternDict `/PatternType 1 |/PaintType 2 | /Reps L2?{1}{5}? |/XStep 8 Reps mul |/YStep XStep |/BBox[0 0 XStep YStep]| /TilingType 1 |/PaintProc{` 1 Lw[]0 setdash PaintData , exec E}b/FGnd null | /BGnd null |/HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b /HS_BDiagonal{biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep XStep YStep gt{XStep}{YStep}? |/horiz{Reps{0 4 M XStep 0 - 0 8 +}repeat 0 -8 Reps mul + K}b/vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag {Reps{0 0 M MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps mul + 0 YStep M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M MaxXYStep @ neg - 0 8 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E /makehatch{GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix GDIHPatternDict matrix mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0/HS_Horizontal makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal makehatch}b/h3{ /h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5/HS_DiagCross makehatch}b/GDIBWPatternDict 17 dict @ `/PatternType 1 |/PaintType L2?{1}{2}? |/RepsV L2?{1}{6}? |/RepsH L2?{1}{5}? |/BBox[0 0 RepsH 1]|/TilingType 1 | /XStep 1 |/YStep 1 |/Height 8 RepsV mul |/Width 8 |/mx[Width 0 0 Height neg 0 Height]|/FGnd null |/BGnd null |/SetBGndFGnd L2?{{BGnd null ne{BGnd aload ! sgco BBox aload ! 2 ^ sub ~ 3 ^ sub ~ rf}if FGnd null ne{FGnd aload ! sgco}if} }{{}}? b/PaintProc{` SetBGndFGnd RepsH{Width Height F mx PaintData imagemask Width 0 +}repeat E}b E |/GDIBWPatternMx null |/pfprep{save 4 1 $ /PatternOfTheDay 4 1 $ GDIBWPatternDict `/PaintData ~ |/BGnd ~ |/FGnd ~ | E CTMsave GDIBWPatternMx setmatrix GDIBWPatternDict matrix mp CTMrestore ~ !}b /hrf null |/prf{pfprep ~ 6 1 $ 5 hrf restore}b/GraphInit{GDIHMatrix null eq{ /SavedCTM matrix | : ADO_mxRot concat 0 0 snap + : 0.48 @ GDIHPatternDict ` YStep mul ~ XStep mul ~ dsnap YStep V ~ XStep V ~ E +S/GDIHMatrix matrix currentmatrix readonly | ; : 0.24 -0.24 +S GDIBWPatternDict ` Width Height E dsnap +S/GDIBWPatternMx matrix currentmatrix readonly | ; ;}if}b/cirp{360 0 An C}b/ellp{CTMsave + +S 0.5 0 M 0 0 0.5 360 0 An C CTMrestore}b/rrp{/rad ~ |/y2 ~ |/x2 ~ |/y1 ~ |/x1 ~ | x2 x1 add 2 V y1 M x1 y1 x1 y2 rad arct x1 y2 x2 y2 rad arct x2 y2 x2 y1 rad arct x2 y1 x1 y1 rad arct C}b/RRp{CTMsave + +S/dyS ~ |/dxS ~ | dxS 2 V 0 M 0 0 0 dyS 0.5 arct 0 dyS dxS dyS 0.5 arct dxS dyS dxS 0 0.5 arct dxS 0 0 0 0.5 arct C CTMrestore}b L2? not g{/arct{arcto ! ! ! !}b/GDIpattfill{@ ` BGnd null ne PaintType 2 eq and{: BGnd aload ! sgco fEOFill{O}{L}? ; FGnd aload ! U/fGray 2 ^ put{2}{4}? -1 $}if E @ patterncalc : 4 ^/PaintType get 2 eq{fGray{6 -1 $ sg}{8 -3 $ sco}? }if fEOFill{eoclip}{clip}? N patternfill ; N}b/hrf{/fGray 1 ^ 6 eq | -4 $ N rp C/fEOFill F | GDIpattfill}b/hfMain{/fEOFill ~ |/fGray ~ | GDIpattfill}b/hf{T hfMain}b/hfW{F hfMain}b/hs{currentpoint strokepath M hfW}b/pfMain{/fEOFill ~ | pfprep GDIpattfill restore N}b/pf{T pfMain}b/pfW{F pfMain}b/ps{currentpoint strokepath M pfW}b/mpstr 1 string |/mp{~ @ length 12 add dict copy ` /PatternCTM matrix currentmatrix |/PatternMatrix ~ |/PatWidth XStep mpstr length mul |/PatHeight YStep |/FontType 3 |/Encoding 256 array | 3 string 0 1 255{Encoding ~ @ 3 ^ cvs cvn put}for !/FontMatrix matrix |/FontBBox BBox | /BuildChar{! @ ` XStep 0 FontBBox aload ! setcachedevice/PaintProc , E : exec ;}b & E ~ @ 3 -1 $ definefont}b/patterncalc{` : PatternCTM setmatrix PatternMatrix concat BBox aload ! ! ! + pathbbox ; PatHeight V ceiling 4 1 $ PatWidth V ceiling 4 1 $ PatHeight V floor 4 1 $ PatWidth V floor 4 1 $ 2 ^ sub cvi abs ~ 3 ^ sub cvi abs ~ 4 2 $ PatHeight mul ~ PatWidth mul ~ E}b /patternfill{5 -1 $ @ ` Ji PatternCTM setmatrix PatternMatrix concat 0 2 ^ 2 ^ M 0 1 mpstr length 1 sub{1 ^ mpstr 3 1 $ put}for ! 2 ^{currentpoint 5 ^{mpstr S}repeat YStep add M}repeat ! ! ! ! E}b}e L2? g{/mp/makepattern , |/hrf{6 eq setAorABC setpattern rectfill}b/hf{ setAorABC setpattern O}b/hfW{setAorABC setpattern L}b/hs{setAorABC setpattern K}b/pf{pfprep setpattern O restore N}b/pfW{pfprep setpattern L restore N}b/ps{ pfprep setpattern K restore N}b}e /iw 0 |/ih 0 |/im_save 0 |/s 0 |/polarity 0 |/smoothflag 0 |/mystring 0 |/bpc 0 |/setup1asciiproc{[currentfile mystring/readhexstring cvx/! cvx]cvx bind}b /setup1binaryproc{[currentfile mystring/readstring cvx/! cvx]cvx bind}b /setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}b /setup2binaryproc{currentfile/RunLengthDecode filter}b/mycolorspace{colspABC}| /myimagedict{/myimagedict 10 dict | myimagedict @ `/ImageType 1 | /MultipleDataSource F | E}b/imageprocarray[/setup1binaryproc/setup1asciiproc /setup2binaryproc/setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc ]|/L2Polarity{{[1 0]}{[0 1]}?}b/Q{/im_save save | imageprocarray ~ get/s ~ , | L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~ string |/bpc ~ |/ih ~ |/iw ~ |}b/X{/im_save save | imageprocarray ~ get/s ~ , | L2Polarity/polarity ~ |/smoothflag ~ | snap +/dx 2 ^ |/dy 1 ^ | +S/mystring ~ string |/bpc ~ |/ih ~ |/iw ~ |}b/Z{im_save restore}b/Y{sgco myimagedict @ ` /Width iw |/Height ih |/Decode polarity |/ImageMatrix[iw 0 0 ih 0 0]| /DataSource s |/BitsPerComponent 1 |/Interpolate smoothflag | E imagemask}b L2? not g{/setup2asciiproc{[/Level2ImagesError , aload ! T FatalErrorIf}b /setup2binaryproc/setup2asciiproc , |/L2Polarity{}|/Y{sgco iw ih polarity[iw 0 0 ih 0 0]s imagemask}b}e L2? not g{/testsystemdict{where{systemdict eq{T}{F}?}{F}?}b/c 1 |/colorimage where{! T}{F}?{/c 0 statusdict `/processcolors where{! ! processcolors}{ /deviceinfo where{! deviceinfo/Colors known{!{deviceinfo/Colors get}}if}if}? E | c 0 ne{/colorimage testsystemdict/setcolortransfer testsystemdict /currentcolortransfer testsystemdict/currentcmykcolor testsystemdict and and and not{/c 0 |}if}if}if c @ 1 ne ~ @ 3 ne ~ 4 ne and and{/c 0 |}if c 1 eq g{ /expandbw{expandfactor mul round cvi bwclut ~ get 255 V}b/doclutimage{!/bwclut ~ | bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/expandfactor ~ |[/expandbw ,/exec , @ currenttransfer ~]cvx bind settransfer iw ih bpc[iw 0 0 ih 0 0]s image}b}e c @ 3 eq ~ 4 eq or g{/nullproc{{}}|/concatutil{/exec , 7 -1 $/exec ,}b/defsubclut{ 1 add getinterval |}b/spconcattransfer{/Dclut ~ |/Cclut ~ |/Bclut ~ |/Aclut ~ |/ncompute ~ , | currentcolortransfer[{Aclut ncompute}concatutil]cvx[{Bclut ncompute}concatutil]cvx[{Cclut ncompute}concatutil]cvx[{Dclut ncompute} concatutil]cvx setcolortransfer}b/setuprgbcluts{/bit3x rgbclut length 3 sub | /bit1x bit3x 3 idiv |/rclut rgbclut |/gclut rclut 1 bit3x defsubclut/bclut rclut 2 bit3x defsubclut}b}e c 3 eq g{/3compute{~ bit3x mul round cvi get 255 V}b/doclutimage{/rgbclut ~ | ! setuprgbcluts/3compute rclut gclut bclut @ spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @]cvx nullproc nullproc T 3 colorimage}b}e c 4 eq g{/ftoint{1 ~ sub 255 mul round cvi}b/stuffclut{ cmykindex 3 -1 $ put}b/4compute{~ bit4x mul round cvi get 255 V}b /invalidcolortable? T |/computecmykclut{setuprgbcluts/bit4x rgbclut length 3 idiv 4 mul 4 sub |/cmykclut bit4x 4 add string |/cclut cmykclut |/mclut cclut 1 bit4x defsubclut/yclut cclut 2 bit4x defsubclut/kclut cclut 3 bit4x defsubclut/cmykindex 0 | 0 1 bit1x{@/cmykindex ~ bit1x ~ sub 4 mul | 3 mul @ rclut ~ get 255 V ~ @ gclut ~ get 255 V ~ bclut ~ get 255 V setrgbcolor currentcmykcolor ftoint kclut stuffclut ftoint yclut stuffclut ftoint mclut stuffclut ftoint cclut stuffclut}for}b/doclutimage{/rgbclut ~ | ! invalidcolortable?{computecmykclut}if/4compute cclut mclut yclut kclut spconcattransfer iw ih bpc[iw 0 0 ih 0 0][s/exec ,/@ , @ @]cvx nullproc nullproc nullproc T 4 colorimage}b}e c 0 eq g{/a{3 mul 3 getinterval putinterval ~ 3 add ~ 3 copy}b/8lookup/a , |/4lookup{/byte 1 ^ | -4 bitshift a byte 15 and a}b/2lookup{/byte 1 ^ | -6 bitshift a byte -4 bitshift 3 and a byte -2 bitshift 3 and a byte 3 and a}b/colorexpand{mystringexp 0 rgbclut 3 copy 7 -1 $/mylookup , forall ! ! ! ! !}b/createexpandstr{/mystringexp ~ mystring length mul string |}b/doclutimage{/rgbclut ~ | !/mylookup bpc 8 eq{3 createexpandstr/8lookup}{bpc 4 eq{6 createexpandstr/4lookup}{12 createexpandstr/2lookup}?}? , | iw ih bpc[iw 0 0 ih 0 0][s/exec ,/colorexpand ,/exec ,]cvx F 3 colorimage}b}e/colorimage where{! T}{F}? g{/do24image{iw ih 8 [iw 0 0 ih 0 0]s F 3 colorimage}b}DefIf_El{/rgbtogray{/str ~ |/len str length |/smlen len 3 idiv |/rstr str |/gstr str 1 len 1 sub getinterval |/bstr str 2 len 2 sub getinterval | str @ 0 1 smlen 1 sub{@ 3 mul rstr 1 ^ get 0.3 mul gstr 2 ^ get 0.59 mul add bstr 3 -1 $ get 0.11 mul add round cvi put @}for ! 0 smlen getinterval}b/do24image{iw ih 8[iw 0 0 ih 0 0][s/exec ,/rgbtogray ,/exec ,]cvx bind image}b}e/doNimage{bpc 24 eq{do24image}{iw ih bpc[iw 0 0 ih 0 0]s image}?}b}e L2? g{/doclutimage{/rgbclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[ /Indexed colspABC hival rgbclut]setcolorspace myimagedict @ `/Width iw | /Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s | /BitsPerComponent bpc |/Interpolate smoothflag | E image}b/doCMYKclutimage{ /CMYKclut ~ | ! bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ |[/Indexed/DeviceCMYK hival CMYKclut]setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 hival]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc | /Interpolate smoothflag | E image}b/doNimage{bpc 24 eq{colspABC}{colspA}? setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode bpc 24 eq{[0 1 0 1 0 1]}{[0 1]}? |/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent bpc 24 eq{8}{bpc}? |/Interpolate smoothflag | E image}b/doCMYKimage{ /DeviceCMYK setcolorspace myimagedict @ `/Width iw |/Height ih |/Decode[0 1 0 1 0 1 0 1]|/ImageMatrix[iw 0 0 ih 0 0]|/DataSource s |/BitsPerComponent 8 | /Interpolate smoothflag | E image}b}e /GreNewFont{10 dict @ 3 1 $ | @ ` 4 1 $/FontType 3 |/FontMatrix ~ |/FontBBox ~ |/Encoding 256 array | 0 1 255{Encoding ~/.notdef put}for/CharProcs 257 dict | CharProcs/.notdef{}put/Metrics 257 dict | Metrics/.notdef 3 -1 $ put/BuildChar {/char ~ |/fontdict ~ |/charname fontdict/Encoding get char get | fontdict /Metrics get charname get aload ! setcachedevice fontdict ` Encoding char get CharProcs ~ get E exec}| E definefont !}|/AddChar{` Encoding 3 1 $ put CharProcs 3 1 $ put Metrics 3 1 $ put E}| /FEbuf 2 string |/FEglyph 3 string |/FE{(G00)FEglyph copy ! 1 ~{@ 16 lt{ /offset 2 store}{/offset 1 store}? @ 16 FEbuf cvrs FEglyph ~ offset ~ putinterval 1 ^ ~ FEglyph cvn put}for}bind |/Type1Hdr{11 dict `/FontName ~ | /PaintType ~ |/FontType 1 |/FontMatrix[1 3 ^ V 0 0 1 6 ^ V 0 0]| !/Encoding 256 array 0 1 255{1 ^ ~/.notdef put}for 3 ^ 3 ^ FE | ! !/FontBBox{0 0 0 0}| & E currentfile eexec}bind | /pp 1 string |/ss 1 string |/rledecodebinary{/DC 0 |/BC 0 |{DC mystring length ge{exit}if currentfile ss readstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss readstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{ mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/rledecodeascii{/DC 0 | /BC 0 |{DC mystring length ge{exit}if currentfile ss readhexstring ! 0 get/BC ~ | BC 127 le{/BC BC 1 add | DC 1 DC BC add 1 sub{mystring ~ currentfile ss readhexstring ! 0 get put}for}{/BC 257 BC sub | currentfile ss readhexstring ! 0 get/pp ~ | DC 1 DC BC add 1 sub{mystring ~ pp put}for}?/DC DC BC add |}loop mystring}b/setup1asciidecodeproc{[/rledecodeascii cvx]cvx bind}b /setup1binarydecodeproc{[/rledecodebinary cvx]cvx bind}b userdict/Pscript_Win_Compat 13 dict dup begin/bd{bind def}bind def/ld{load def }bd/CB{pop pop pop pop}bind def/B{pop pop pop pop}bind def/$x matrix def/SS{ /pagesave save def}bind def/RS{/pagesave where{pop pagesave restore}{$x matrix invertmatrix concat}ifelse}bind def/ANSIVec[0/grave 1/acute 2/circumflex 3 /tilde 4/macron 5/breve 6/dotaccent 7/dieresis 8/ring 9/cedilla 10 /hungarumlaut 11/ogonek 12/caron 13/dotlessi 39/quotesingle 96/grave 124/bar 130/quotesinglbase 131/florin 132/quotedblbase 133/ellipsis 134/dagger 135 /daggerdbl 136/circumflex 137/perthousand 138/Scaron 139/guilsinglleft 140/OE 145/quoteleft 146/quoteright 147/quotedblleft 148/quotedblright 149/bullet 150 /endash 151/emdash 152/tilde 153/trademark 154/scaron 155/guilsinglright 156 /oe 159/Ydieresis 160/space 161/exclamdown 164/currency 165/yen 166/brokenbar 167/section 168/dieresis 169/copyright 170/ordfeminine 171/guillemotleft 172 /logicalnot 173/hyphen 174/registered 175/macron 176/degree 177/plusminus 178 /twosuperior 179/threesuperior 180/acute 181/mu 182/paragraph 183 /periodcentered 184/cedilla 185/onesuperior 186/ordmasculine 187 /guillemotright 188/onequarter 189/onehalf 190/threequarters 191/questiondown 192/Agrave 193/Aacute 194/Acircumflex 195/Atilde 196/Adieresis 197/Aring 198 /AE 199/Ccedilla 200/Egrave 201/Eacute 202/Ecircumflex 203/Edieresis 204 /Igrave 205/Iacute 206/Icircumflex 207/Idieresis 208/Eth 209/Ntilde 210/Ograve 211/Oacute 212/Ocircumflex 213/Otilde 214/Odieresis 215/multiply 216/Oslash 217/Ugrave 218/Uacute 219/Ucircumflex 220/Udieresis 221/Yacute 222/Thorn 223 /germandbls 224/agrave 225/aacute 226/acircumflex 227/atilde 228/adieresis 229 /aring 230/ae 231/ccedilla 232/egrave 233/eacute 234/ecircumflex 235/edieresis 236/igrave 237/iacute 238/icircumflex 239/idieresis 240/eth 241/ntilde 242 /ograve 243/oacute 244/ocircumflex 245/otilde 246/odieresis 247/divide 248 /oslash 249/ugrave 250/uacute 251/ucircumflex 252/udieresis 253/yacute 254 /thorn 255/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{ pop pop}ifelse}forall/initialize{currentdict exch begin begin}bind def /terminate{/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate load def/resume/initialize load def/M/moveto load def end put/Courier findfont 10 scalefont setfont end /ProcSet defineresource pop Pscript_Win_Compat dup /initialize get exec [ 1.000 0 0 1.000 0 0 ] false /Pscript_Win_Driver /ProcSet findresource dup /initialize get exec /mysetup [ 0.240 0 0 -0.240 18.000 818.880 ] | userdict begin /pagesave save def end mysetup concat colspRefresh : 1.000 1.000 1.000 sco 0 0 0 0 rf ; : 1 1 2328 3316 rc : 1469 1210 147 53 rc 0 0 0 sco %%IncludeFont: Helvetica (F0) cvn 0.915 (Helvetica) cvn /Type1 T (Helvetica) cvn mF (F0_39_47) cvn F0 39 0 0 47 0 0 xMF F0_39_47 Ji 1518 1210 M 2.158 0 ( )A ; : 1482 1210 147 53 rc 0 0 0 sco F0_39_47 Ji 1531 1210 M 2.158 0 (/)A ; : 1495 1210 147 53 rc 0 0 0 sco F0_39_47 Ji 1544 1210 M 2.158 0 ( )A ; : 1508 1210 147 53 rc 0 0 0 sco F0_39_47 Ji 1557 1210 M 4.316 0 (d)A ; : 1535 1210 147 53 rc 0 0 0 sco F0_39_47 Ji 1584 1210 M 4.316 0 (e)A ; : 1562 1210 147 53 rc 0 0 0 sco F0_39_47 Ji 1611 1210 M 4.316 0 (g)A ; : 641 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 690 1326 M 5.842 0 (R)A ; : 676 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 725 1326 M 2.158 0 ( )A ; : 689 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 738 1326 M 2.158 0 (/)A ; : 702 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 751 1326 M 2.158 0 ( )A ; : 715 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 764 1326 M 4.316 0 (a)A ; : 742 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 791 1326 M 2.158 0 (.)A ; : 755 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 804 1326 M 4.316 0 (u)A ; : 782 1326 147 53 rc 0 0 0 sco F0_39_47 Ji 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b(,)25 b(J.)g(Chem.)41 2109 y(Ph)n(ys.)h Fs(107)g Ft(\(1997\))h(3309.)-112 2200 y([54])35 b(H.)73 b(Hellmann,)85 b Fu(Einf)q(\177)-40 b(uhrung)72 b(in)f(die)g(Quantenchemie)41 2291 y Ft(\(Deuiek)n(e,)25 b(Leipzig,)i(1937\))g(p.)f(285.)-112 2383 y([55])35 b(R.P)-6 b(.)26 b(F)-6 b(eynman,)24 b(Ph)n(ys.)h(Rev.)g Fs(56)h Ft(\(1939\))h(340.)-112 2474 y([56])35 b(K.W.)26 b(Kolasinski,)h(In)n (t.)e(J.)i(Mo)r(d.)f(Ph)n(ys.)g(B)p Fs(9)g Ft(\(1995\))h(2753.)-112 2565 y([57])35 b(A.)24 b(De)h(Vita,)g(I.)531 2546 y(\025)528 2565 y(Stic)n(h,)g(M.J.)h(Gillan,)g(M.C.)g(P)n(a)n(yne,)f(and)f(L.J.)41 2657 y(Clark)n(e,)j(Ph)n(ys.)e(Rev.)g(Lett.)h Fs(71)g Ft(\(1993\))h(1276.)-112 2748 y([58])35 b(A.)28 b(Gross,)i(M.)f(Bo)r(c) n(kstedte,)h(and)d(M.)i(Sc)n(he\017er,)g(Ph)n(ys.)f(Rev.)41 2839 y(Lett.)e Fs(79)g Ft(\(1997\))h(701.)-112 2931 y([59])35 b(A.J.R.)e(da)f(Silv)l(a,)h(M.R.)g(Radek)n(e,)g(and)f(E.A.)g(Carter,)j (Surf.)41 3022 y(Sci.)26 b Fs(381)g Ft(\(1997\))h(L628.)-112 3113 y([60])35 b(M.R.)21 b(Radek)n(e)e(and)h(E.A.)h(Carter,)h(Ann)n(u.) d(Rev.)h(Ph)n(ys.)g(Chem.)41 3205 y Fs(48)26 b Ft(\(1997\))h(243.)-112 3296 y([61])35 b(M.)i(Ka)n(y)-6 b(,)38 b(G.R.)f(Darling,)j(S.)d(Hollo)n (w)n(a)n(y)-6 b(,)39 b(J.A.)e(White,)j(and)41 3387 y(D.M.)26 b(Bird,)h(Chem.)e(Ph)n(ys.)g(Lett.)h Fs(245)h Ft(\(1995\))f(311.)-112 3479 y([62])35 b(P)-6 b(.)26 b(Kratzer,)g(Chem.)f(Ph)n(ys.)h(Lett.)g Fs(288)g Ft(\(1998\))h(396.)-112 3570 y([63])35 b(A.)f(Eic)n(hler)g (and)f(J.)h(Hafner,)j(Ph)n(ys.)c(Rev.)g(Lett.)h Fs(79)g Ft(\(1997\))41 3661 y(4481.)-112 3753 y([64])h(P)-6 b(.A.)37 b(Gra)n(vil,)k(D.M.)c(Bird,)k(and)36 b(J.A.)i(White,)i(Ph)n(ys.)d(Rev.) 41 3844 y(Lett.)26 b Fs(77)g Ft(\(1996\))h(3933.)-112 3935 y([65])35 b(D.M.)26 b(Bird)g(and)g(P)-6 b(.A.)25 b(Gra)n(vil,)i(Surf.)f(Sci.)g Fs(377)g Ft(\(1997\))h(555.)-112 4027 y([66])35 b(A.)j(Eic)n(hler,)j(Dissertation,)i(T)-6 b(ec)n(hnical)38 b(Univ)n(ersit)n(y)f(Vienna)41 4118 y(\(1998\).)-112 4209 y([67])e(C.)22 b(Stamp\015)e(and)i(M.)g(Sc)n (he\017er,)g(Ph)n(ys.)g(Rev.)f(Lett.)h Fs(78)g Ft(\(1997\))41 4301 y(1500.)-112 4392 y([68])35 b(T.)26 b(Kl)r(\177)-41 b(uner,)26 b(J.)f(F)-6 b(reitag,)27 b(H.-J.)e(F)-6 b(reund,)24 b(and)h(V.)f(Staemmler,)41 4483 y(J.)i(Mol.)h(Catal.)h(A)d Fs(119)h Ft(\(1997\))h(155.)-112 4575 y([69])35 b(T.)27 b(Kl)r(\177)-41 b(uner,)26 b(H.-J.)h(F)-6 b(reund,)25 b(V.)g(Staemmler)g(and)g(R.)h(Koslo\013,)41 4666 y(Ph)n(ys.)g(Rev.)f (Lett.)h Fs(80)g Ft(\(1998\))g(5208.)-112 4757 y([70])35 b(M.)27 b(Born)g(and)e(J.R.)i(Opp)r(enheimer,)e(Ann.)g(Ph)n(ys.)h Fs(84)h Ft(\(1927\))41 4848 y(457.)-112 4940 y([71])35 b(T.)26 b(Greb)r(er,)h(Surf.)f(Sci.)g(Rep.)f Fs(28)h Ft(\(1997\))h(1.)-112 5031 y([72])35 b(M.)j(Born)g(and)g(K.)f(Huang,)k Fu(Dynamic)l(al)d(the)l(ory)j(of)d(crystal)41 5122 y(lattic)l(es)27 b Ft(\(Clarendon)f(Press,)h(Oxford,)f(1954\),)h(p.)f(406.)-112 5214 y([73])35 b(P)-6 b(.)39 b(Hohen)n(b)r(erg)f(and)g(W.)h(Kohn,)i(Ph) n(ys.)e(Rev.)f Fs(136)h Ft(\(1964\))41 5305 y(B864.)-112 5396 y([74])c(W.)21 b(Kohn)f(and)h(L.J.)h(Sham,)f(Ph)n(ys.)g(Rev.)f Fs(140)i Ft(\(1965\))g(A1133.)2080 -83 y([75])35 b(E.L.)26 b(Briggs,)i(D.J.)e(Sulliv)l(an,)g(and)f(J.)h(Bernholc,)h(Ph)n(ys.)f (Rev.)2233 8 y(B)g Fs(54)g Ft(\(1996\))h(14362.)2080 100 y([76])35 b(A.)25 b(Gross)i(and)f(H.)f(T)-6 b(eic)n(hler,)27 b(Phil.)f(Mag.)h(B)f Fs(64)g Ft(\(1991\))h(413.)2080 191 y([77])35 b(M.)48 b(Sc)n(he\017er,)53 b(Ch.)48 b(Droste,)54 b(A.)47 b(Fleszar,)55 b(F.)48 b(M\023)-38 b(aca,)55 b(G.)2233 282 y(W)-6 b(ac)n(h)n(utk)l(a,)24 b(and)i(G.)g(Barzel,)h(Ph)n(ysica)f (B)g Fs(172)h Ft(\(1991\))f(143.)2080 374 y([78])35 b(P)-6 b(.J.)26 b(F)-6 b(eib)r(elman,)26 b(Ph)n(ys.)f(Rev.)h(B)g Fs(46)g Ft(\(1992\))h(15416.)2080 465 y([79])35 b(M.I.)d(T)-6 b(rioni,)33 b(G.P)-6 b(.)32 b(Brivio,)i(S.)d(Crampin,)h(and)f(J.E.)h (Ingles-)2233 556 y(\014eld,)26 b(Ph)n(ys.)f(Rev.)g(B)h Fs(53)g Ft(\(1996\))h(8052.)2080 648 y([80])35 b(J.L.)22 b(Whitten)f(and)g(H.)g(Y)-6 b(ang,)22 b(Surf.)f(Sci.)h(Rep.)f Fs(24)g Ft(\(1996\))i(55.)2080 739 y([81])35 b(R.M.)40 b(Dreizler)h(and)e(E.K.U.)h(Gross,)45 b Fu(Density)c(F)-6 b(unctional)2233 830 y(The)l(ory)p Ft(,)27 b(\(Springer,)f(Berlin)g (1990\).)2080 922 y([82])35 b(M.C.)h(P)n(a)n(yne,)h(M.P)-6 b(.)35 b(T)-6 b(eter,)38 b(D.C.)d(Allan,)j(T.A.)d(Arias)g(and)2233 1013 y(J.D.)26 b(Joannop)r(oulos,)i(Rev.)d(Mo)r(d.)i(Ph)n(ys.)e Fs(64)h Ft(\(1992\))h(1045.)2080 1104 y([83])35 b(A.D.)25 b(Bec)n(k)n(e,)h(Ph)n(ys.)g(Rev.)f(A)g Fs(38)h Ft(\(1988\))h(3098.)2080 1196 y([84])35 b(C.)18 b(Lee,)i(W.)e(Y)-6 b(ang,)19 b(and)e(R.G.)h(P)n (arr,)i(Ph)n(ys.)e(Rev.)f(B)h Fs(37)g Ft(\(1988\))2233 1287 y(785.)2080 1378 y([85])35 b(J.P)-6 b(.)49 b(P)n(erdew)g(J.A.)f (Chev)l(ary)-6 b(,)53 b(S.H.)48 b(V)-6 b(osk)n(o,)54 b(K.A.)48 b(Jac)n(k-)2233 1469 y(son,)60 b(M.R.)53 b(P)n(ederson,)61 b(D.J.)53 b(Singh,)60 b(and)52 b(C.)i(Fiolhias,)2233 1561 y(Ph)n(ys.)25 b(Rev.)h(B)g Fs(46)g Ft(\(1992\))g(6671.)2080 1652 y([86])35 b(J.P)-6 b(.)33 b(P)n(erdew,)h(K.)e(Burk)n(e,)i(and)d (M.)i(Enzerho\013,)h(Ph)n(ys.)e(Rev.)2233 1743 y(Lett.)26 b Fs(77)g Ft(\(1996\))h(3865.)2080 1835 y([87])35 b(P)-6 b(.)28 b(Nac)n(h)n(tigall,)h(K.D.)f(Jordan,)h(A.)f(Smith,)f(and)g(H.)h (J\023)-38 b(onsson,)2233 1926 y(J.)26 b(Chem.)f(Ph)n(ys.)h Fs(104)g Ft(\(1996\))h(148.)2080 2017 y([88])35 b(R.)c(Car)h(and)f(M.)h (P)n(arrinello,)j(Ph)n(ys.)c(Rev.)g(Lett.)g Fs(55)h Ft(\(1985\))2233 2109 y(2471.)2080 2200 y([89])j(P)i(Bendt)f(and)h(A.)g(Zunger,)i(Ph)n (ys.)e(Rev.)g(Lett.)g Fs(50)g Ft(\(1983\))2233 2291 y(1684.)2080 2383 y([90])e(B.I.)f(Dunlap)f(and)g(N.)h(R\177)-38 b(osc)n(h,)36 b(Adv.)c(Quan)n(tum)g(Chem.)h Fs(21)2233 2474 y Ft(\(1990\))27 b(317.)2080 2565 y([91])35 b(D.J.)26 b(Doren,)g(Adv.)f(Chem.)g(Ph)n (ys.)h Fs(95)g Ft(\(1996\))g(1.)2080 2657 y([92])35 b(O.)k(P)n(ankrato) n(v)g(and)g(M.)h(Sc)n(he\017er,)j(Ph)n(ys.)c(Rev.)g(Lett.)h Fs(75)2233 2748 y Ft(\(1995\))27 b(701.)2080 2839 y([93])35 b(A.)j(Gross,)44 b(B.)39 b(Hammer,)h(M.)f(Sc)n(he\017er,)j(and)c(W.)h (Brenig,)2233 2931 y(Ph)n(ys.)25 b(Rev.)h(Lett.)f Fs(73)h Ft(\(1994\))h(3121.)2080 3022 y([94])35 b(A.D.)42 b(Kinnersley)-6 b(,)45 b(G.R.)e(Darling,)k(S.)42 b(Hollo)n(w)n(a)n(y)-6 b(,)47 b(and)41 b(B.)2233 3113 y(Hammer,)24 b(Surf.)i(Sci.)g Fs(364)g Ft(\(1996\))h(219.)2080 3205 y([95])35 b(D.E.)20 b(Mak)l(aro)n(v)f(and)h(H.)f(Metiu,)i(J.)f(Chem.)f(Ph)n(ys.)h Fs(108)g Ft(\(1998\))2233 3296 y(590.)2080 3387 y([96])35 b(T.B.)50 b(Blank.)f(S.D.)f(Bro)n(wn,)55 b(A.W.)48 b(Calhoun,)55 b(and)48 b(D.J.)2233 3479 y(Doren,)26 b(J.)g(Chem.)f(Ph)n(ys.)h Fs(103)g Ft(\(1995\))h(4129.)2080 3570 y([97])35 b(K.T.)28 b(No,)h(B.H.)f(Chang,)h(S.Y.)f(Kim,)g(M.S.)g(Jhon,)h(and)e(H.A.)2233 3661 y(Sc)n(heraga,)f(Chem.)g(Ph)n(ys.)f(Lett.)h Fs(271)g Ft(\(1997\))h(152.)2080 3753 y([98])35 b(S.)25 b(Lorenz,)g(A.)g(Gross,) i(and)d(M.)i(Sc)n(he\017er,)f(APS)f(Bulletin)i Fs(43)2233 3844 y Ft(\(1998\))h(235.)2080 3935 y([99])35 b(M.J.)c(Mehl)g(and)e (D.A.)h(P)n(apaconstan)n(top)r(oulos,)k(Ph)n(ys.)c(Rev.)2233 4027 y(B)c Fs(54)g Ft(\(1996\))h(4519.)2042 4118 y([100])35 b(G.M.)h(Goringe,)j(D.R.)34 b(Bo)n(wler,)40 b(and)34 b(E.)i(Hern\023)-38 b(andez,)36 b(Rep.)2233 4209 y(Prog.)27 b(Ph)n(ys.)e Fs(60)h Ft(\(1997\))h(1447.)2042 4301 y([101])35 b(A.)29 b(Gross,)i(M.)f(Sc)n(he\017er,)f(M.J.)i(Mehl,)f(and)f(D.A.)g(P) n(apacon-)2233 4392 y(stan)n(top)r(oulos,)e(in)f(preparation.)2042 4483 y([102])35 b(J.C.)22 b(Slater)e(and)g(G.F.)h(Koster,)h(Ph)n(ys.)e (Rev.)g Fs(94)h Ft(\(1954\))g(1498.)2042 4575 y([103])35 b(A.)25 b(Gross,)j(C.M.)f(W)-6 b(ei,)26 b(and)f(M.)h(Sc)n(he\017er,)g (submitted.)2042 4666 y([104])35 b(R.G.)f(Newton,)i Fu(Sc)l(attering)g (The)l(ory)g(of)f(Waves)g(and)g(Parti-)2233 4757 y(cles,)27 b(Se)l(c)l(ond)i(Edition)d Ft(\(Springer,)g(New)f(Y)-6 b(ork,)26 b(1982\).)2042 4848 y([105])35 b(G.L.)26 b(Hofac)n(k)n(er,)h (Z.)f(Naturforsc)n(h.)g Fs(18a)g Ft(\(1963\))h(607.)2042 4940 y([106])35 b(R.A.)25 b(Marcus,)i(J.)f(Chem.)g(Ph)n(ys.)f Fs(41)h Ft(\(1964\))h(2614.)2042 5031 y([107])35 b(W.)26 b(Brenig)g(and)g(H.)f(Kasai,)i(Surf.)f(Sci.)g Fs(213)g Ft(\(1989\))h(170.)2042 5122 y([108])35 b(W.)55 b(Brenig,)64 b(T.)55 b(Brunner,)63 b(A.)55 b(Gross,)64 b(and)54 b(R.)h(Russ,)2233 5214 y(Z.)26 b(Ph)n(ys.)f(B)h Fs(93)g Ft(\(1993\))h(91.)2042 5305 y([109])35 b(Y.)25 b(Chiba)h(and)g(W.)g(Brenig,)h(Surf.)e(Sci.)h Fs(306)h Ft(\(1994\))g(406.)2042 5396 y([110])35 b(W.)26 b(Brenig)g(and)g(R.)f(Russ,)h(Surf.)g(Sci.)g Fs(315)g Ft(\(1994\))h(195.)1926 5645 y Fv(30)p eop %%Page: 31 31 31 30 bop -150 -83 a Ft([111])35 b(W.)21 b(Brenig,)h(A.)f(Gross,)i(and) d(R.)g(Russ,)i(Z.)e(Ph)n(ys.)g(B)h Fs(97)g Ft(\(1995\))41 8 y(311.)-150 100 y([112])35 b(J.A.)26 b(Flec)n(k,)g(J.R.)g(Morris,)h (and)d(M.D.)i(F)-6 b(eit,)26 b(Appl.)f(Ph)n(ys.)g Fs(10)41 191 y Ft(\(1976\))i(129.)-150 282 y([113])35 b(M.D.)22 b(F)-6 b(eit,)23 b(J.A.)f(Flec)n(k,)h(and)e(A.)g(Steiger,)i(J.)g (Comput.)d(Ph)n(ys.)41 374 y Fs(47)26 b Ft(\(1982\))h(412.)-150 465 y([114])35 b(H.)29 b(T)-6 b(al-Ezer)31 b(and)e(R.)h(Koslo\013,)h (J.)g(Chem.)e(Ph)n(ys.)g Fs(81)h Ft(\(1984\))41 556 y(3967.)-150 648 y([115])35 b(W.H.)c(Press,)j(B.P)-6 b(.)32 b(Flannery)-6 b(,)33 b(S.A.)e(T)-6 b(euk)n(olsky)g(,)31 b(and)g(W.T.)41 739 y(V)-6 b(etterling,)47 b Fu(Numeric)l(al)d(R)l(e)l(cip)l(es)p Ft(,)49 b(Cam)n(bridge)42 b(Univ)n(ersit)n(y)41 830 y(Press,)27 b(Cam)n(bridge,)f(1989.)-150 922 y([116])35 b(J.E.)27 b(M)r(\177)-41 b(uller,)28 b(Ph)n(ys.)d(Rev.)h(Lett.)f Fs(59)h Ft(\(1987\))h(2943.)-150 1013 y([117])35 b(A.C.)26 b(Lun)n(tz)f(and)g(J.)i(Harris,)f(Surf.)g(Sci.)g Fs(258)h Ft(\(1991\))f(397.)-150 1104 y([118])35 b(P)-6 b(.)26 b(Kratzer)g(and)f(W.)h(Brenig,)h(Surf.)f(Sci.)g Fs(254)g Ft(\(1991\))h(275.)-150 1196 y([119])35 b(P)-6 b(.J.)26 b(F)-6 b(eib)r(elman)25 b(and)g(D.R.)h(Hamann,)e(Ph)n(ys.)h(Rev.)g (Lett.)h Fs(52)41 1287 y Ft(\(1984\))h(61.)-150 1378 y([120])35 b(J.)29 b(Harris)h(and)e(S.)g(Andersen,)h(Ph)n(ys.)f(Rev.)g (Lett.)h Fs(55)g Ft(\(1985\))41 1469 y(1583.)-150 1561 y([121])35 b(S.)j(Wilk)n(e,)j(M.H.)e(Cohen,)j(and)37 b(M.)i(Sc)n(he\017er,)i(Ph)n(ys.)d(Rev.)41 1652 y(Lett.)26 b Fs(77)g Ft(\(1996\))h(1560.)-150 1743 y([122])35 b(S.)26 b(Wilk)n(e,)g(Appl.)f(Ph)n(ys.)g(A)h Fs(63)g Ft(\(1996\))h(583.)-150 1835 y([123])35 b(B.)26 b(Hammer)e(and)h(J.K.)i(N\034rsk)n(o)n(v,)e (Nature)h Fs(376)g Ft(\(1995\))h(238.)-150 1926 y([124])35 b(B.)19 b(Hammer)e(and)h(J.K.)h(N\034rsk)n(o)n(v,)h(Surf.)e(Sci.)h Fs(343)g Ft(\(1995\))h(211.)-150 2017 y([125])35 b(C.T.)51 b(Rettner,)j(D.J.)c(Auerbac)n(h,)k(and)48 b(H.A.)h(Mic)n(helsen,)41 2109 y(Ph)n(ys.)26 b(Rev.)f(Lett.)h Fs(68)g Ft(\(1992\))g(1164.)-150 2200 y([126])35 b(C.T.)h(Rettner,)f(H.A.)f(Mic)n(helsen,)k(and)33 b(D.J.)i(Auerbac)n(h,)h(J.)41 2291 y(Chem.)25 b(Ph)n(ys.)h Fs(102)g Ft(\(1995\))h(4625.)-150 2383 y([127])35 b(B.E.)30 b(Ha)n(yden)d(and)i(C.L.A.)g(Lamon)n(t,)g(Ph)n(ys.)g(Rev.)f(Lett.)h Fs(63)41 2474 y Ft(\(1989\))e(1823.)-150 2565 y([128])35 b(G.)i(Anger,)h(A.)e(Winkler,)j(and)d(K.D.)f(Rendulic,)k(Surf.)d(Sci.) 41 2657 y Fs(220)26 b Ft(\(1989\))h(1.)-150 2748 y([129])35 b(K.D.)44 b(Rendulic)g(and)f(A.)h(Winkler,)49 b(Surf.)44 b(Sci.)h Fs(299/300)41 2839 y Ft(\(1994\))27 b(261.)-150 2931 y([130])35 b(P)-6 b(.)35 b(Kratzer,)i(B.)f(Hammer,)f(and)f(J.K.)i (N\034rsk)n(o)n(v,)g(Surf.)f(Sci.)41 3022 y Fs(359)26 b Ft(\(1996\))h(45.)-150 3113 y([131])35 b(G.)e(Wiesenekk)n(er,)h(G.J.) f(Kro)r(es,)i(E.J.)f(Baerends,)h(and)d(R.C.)41 3205 y(Mo)n(wrey)-6 b(,)26 b(J.)h(Chem.)e(Ph)n(ys.)h Fs(102)g Ft(\(1995\))h(3873.)-150 3296 y([132])35 b(M.)42 b(St\177)-38 b(adele,)46 b(J.A.)c(Ma)t(jewski,) 48 b(P)-6 b(.V)g(ogl,)46 b(and)41 b(A.)h(G\177)-38 b(orling,)41 3387 y(Ph)n(ys.)26 b(Rev.)f(Lett.)h Fs(79)g Ft(\(1997\))g(2089.)-150 3479 y([133])35 b(J.R.)h(Chelik)n(o)n(wsky)-6 b(,)39 b(M.)d(Sc)n(hl)r(\177)-41 b(uter,)39 b(S.G.)d(Louie,)j(and)c(M.L.)41 3570 y(Cohen,)26 b(Solid)g(State)g(Comm)n(un.)e Fs(17)i Ft(\(1975\))h(1103.)-150 3661 y([134])35 b(H.A.)26 b(Mic)n(helsen)h (and)e(D.J.)i(Auerbac)n(h,)e(J.)i(Chem.)e(Ph)n(ys.)h Fs(94)41 3753 y Ft(\(1991\))h(7502.)-150 3844 y([135])35 b(A.)j(Eic)n(hler,)k(G.)d(Kresse,)j(and)c(J.)g(Hafner,)k(Surf.)c(Sci.)h Fs(397)41 3935 y Ft(\(1998\))27 b(116.)-150 4027 y([136])35 b(J.C.)22 b(P)n(olan)n(yi)e(and)g(W.H.)g(W)-6 b(ong,)22 b(J.)f(Chem.)f(Ph)n(ys.)g Fs(51)g Ft(\(1969\))41 4118 y(1439.)-150 4209 y([137])35 b(A.)45 b(Gross)i(and)e(M.)h(Sc)n (he\017er,)51 b(Chem.)45 b(Ph)n(ys.)g(Lett.)h Fs(256)41 4301 y Ft(\(1996\))27 b(417.)-150 4392 y([138])35 b(M.J.)41 b(Murph)n(y)e(and)g(A.)h(Ho)r(dgson,)k(J.)d(Chem.)e(Ph)n(ys.)h Fs(108)41 4483 y Ft(\(1998\))27 b(4199.)-150 4575 y([139])35 b(J.)24 b(Dai)f(and)f(J.C.)i(Ligh)n(t,)g(J.)f(Chem.)g(Ph)n(ys.)f Fs(107)h Ft(\(1997\))h(1676.)-150 4666 y([140])35 b(D.)27 b(W)-6 b(etzig,)27 b(M.)h(Rutk)n(o)n(wski,)e(R.)h(Da)n(vid,)g(and)f(H.) h(Zac)n(harias,)41 4757 y(Europh)n(ys.)e(Lett.)h Fs(36)g Ft(\(1996\))h(31.)-150 4848 y([141])35 b(S.J.)20 b(Gulding,)h(A.M.)e(W) -6 b(o)r(dtk)n(e,)20 b(H.)f(Hou,)h(C.T.)h(Rettner,)f(H.A.)41 4940 y(Mic)n(helsen,)47 b(and)41 b(D.J.)i(Auerbac)n(h,)i(J.)d(Chem.)f (Ph)n(ys.)h Fs(105)41 5031 y Ft(\(1996\))27 b(9702.)-150 5122 y([142])35 b(H.)24 b(Hou,)g(S.J.)g(Gulding,)h(C.T.)g(Rettner,)f (A.M.)g(W)-6 b(o)r(dtk)n(e,)24 b(and)41 5214 y(D.J.)i(Auerbac)n(h,)g (Science)f Fs(277)i Ft(\(1997\))g(80.)-150 5305 y([143])35 b(C.)23 b(Cottrell,)i(R.N.)d(Carter,)i(A.)e(Nesbitt,)h(P)-6 b(.)23 b(Samson,)f(and)g(A.)41 5396 y(Ho)r(dgson,)27 b(J.)f(Chem.)f(Ph)n(ys.)h Fs(106)g Ft(\(1997\))h(4714.)2042 -83 y([144])35 b(M.J.)42 b(Murph)n(y)d(and)i(A.)f(Ho)r(dgson,)45 b(Ph)n(ys.)c(Rev.)f(Lett.)h Fs(78)2233 8 y Ft(\(1997\))27 b(4458.)2042 100 y([145])35 b(K.D.)h(Rendulic,)i(G.)f(Anger,)h(and)e (A.)g(Winkler,)j(Surf.)d(Sci.)2233 191 y Fs(208)26 b Ft(\(1989\))h(404.)2042 282 y([146])35 b(C.T.)k(Rettner)f(and)f(D.J.)i (Auerbac)n(h,)h(Chem.)e(Ph)n(ys.)g(Lett.)2233 374 y Fs(253)26 b Ft(\(1996\))h(236.)2042 465 y([147])35 b(Ch.)28 b(Resc)n(h,)g(H.F.)g (Berger,)h(K.D.)f(Rendulic,)g(and)f(E.)h(Bertel,)2233 556 y(Surf.)e(Sci.)g Fs(316)g Ft(\(1994\))h(L1105.)2042 648 y([148])35 b(H.F.)24 b(Berger,)h(Ch.)f(Resc)n(h,)g(E.)g(Gr\177)-38 b(osslinger,)26 b(G.)e(Eilmsteiner,)2233 739 y(A.)31 b(Winkler,)j(and)d(K.D.)g(Rendulic,)i(Surf.)f(Sci.)g Fs(275)g Ft(\(1992\))2233 830 y(L627.)2042 922 y([149])j(D.A.)19 b(Butler,)j(B.E.)f(Ha)n(yden,)f(and)f(J.D.)i(Jones,)h(Chem.)d(Ph)n(ys.) 2233 1013 y(Lett.)26 b Fs(217)g Ft(\(1994\))h(423.)2042 1104 y([150])35 b(P)-6 b(.)36 b(Alnot,)i(A.)e(Cassuto,)k(and)35 b(D.A.)h(King,)i(Surf.)e(Sci.)g Fs(215)2233 1196 y Ft(\(1989\))27 b(29.)2042 1287 y([151])35 b(D.A.)29 b(Butler)g(and)g(B.E.)h(Ha)n (yden,)g(Chem.)e(Ph)n(ys.)h(Lett.)g Fs(232)2233 1378 y Ft(\(1995\))e(542.)2042 1469 y([152])35 b(St.J.)20 b(Dixon-W)-6 b(arren,)20 b(A.T.)h(P)n(asteur,)h(and)d(D.A.)h(King,)h (Surf.)2233 1561 y(Rev.)k(and)g(Lett.)h Fs(1)g Ft(\(1994\))h(593.)2042 1652 y([153])35 b(D.A.)e(King,)j(CR)n(C)e(Crit.)h(Rev.)e(Solid)h(State) f(Mater.)i(Sci.)f Fs(7)2233 1743 y Ft(\(1978\))27 b(167.)2042 1835 y([154])35 b(A.)29 b(Gross)i(and)e(M.)g(Sc)n(he\017er,)i(Ph)n(ys.) e(Rev.)g(Lett.)g Fs(77)h Ft(\(1996\))2233 1926 y(405.)2042 2017 y([155])35 b(A.)45 b(Gross)i(and)e(M.)h(Sc)n(he\017er,)k(Chem.)c (Ph)n(ys.)f(Lett.)g Fs(263)2233 2109 y Ft(\(1996\))27 b(567.)2042 2200 y([156])35 b(S.)d(Hollo)n(w)n(a)n(y)-6 b(,)35 b(M.)e(Ka)n(y)-6 b(,)33 b(and)f(G.R.)h(Darling,)i(F)-6 b(arada)n(y)32 b(Dis-)2233 2291 y(cuss.)26 b(Chem.)f(So)r(c.)i Fs(105)f Ft(\(1996\))h(209.)2042 2383 y([157])35 b(C.T.)d(Rettner)e (and)g(D.J.)h(Auerbac)n(h,)g(Ph)n(ys.)g(Rev.)f(Lett.)h Fs(77)2233 2474 y Ft(\(1996\))c(404.)2042 2565 y([158])35 b(C.T.)50 b(Rettner,)55 b(H.A.)48 b(Mic)n(helsen,)56 b(and)49 b(D.J.)h(Auerbac)n(h,)2233 2657 y(Chem.)25 b(Ph)n(ys.)h Fs(175)g Ft(\(1993\))h(157.)2042 2748 y([159])35 b(A.)c(Gross)i(and)d (M.)i(Sc)n(he\017er,)h(J.)f(V)-6 b(ac.)31 b(Sci.)h(T)-6 b(ec)n(hnol.)32 b(A)f Fs(15)2233 2839 y Ft(\(1997\))c(1624.)2042 2931 y([160])35 b(A.)19 b(Gross,)j(S.)d(Wilk)n(e,)i(and)e(M.)h(Sc)n (he\017er,)h(Surf.)e(Sci.)h Fs(357/358)2233 3022 y Ft(\(1996\))27 b(614.)2042 3113 y([161])35 b(M.)25 b(Beutl,)h(M.)f(Riedler,)h(and)e (K.D.)h(Rendulic,)g(Chem.)f(Ph)n(ys.)2233 3205 y(Lett.)i Fs(247)g Ft(\(1995\))h(249.)2042 3296 y([162])35 b(M.)29 b(Gostein)h(and)e(G.O.)h(Sitz,)h(J.)f(Chem.)f(Ph)n(ys.)h Fs(106)g Ft(\(1997\))2233 3387 y(7378.)2042 3479 y([163])35 b(M.)25 b(Beutl,)h(M.)f(Riedler,)h(and)e(K.D.)h(Rendulic,)g(Chem.)f(Ph) n(ys.)2233 3570 y(Lett.)i Fs(256)g Ft(\(1996\))h(33.)2042 3661 y([164])35 b(L.)25 b(Sc)n(hr\177)-38 b(oter,)26 b(R.)f(Da)n(vid,)g(and)g(H.)g(Zac)n(harias,)i(Surf.)f(Sci.)f Fs(258)2233 3753 y Ft(\(1991\))i(259.)2042 3844 y([165])35 b(L.)f(Sc)n(hr\177)-38 b(oter,)37 b(R.)d(Da)n(vid,)i(and)e(H.)g(Zac)n (harias,)k(J.)d(V)-6 b(ac.)35 b(Sci.)2233 3935 y(T)-6 b(ec)n(hnol.)26 b(A)f Fs(A)h Ft(\(1991\))g(1712.)2042 4027 y([166])35 b(S.)25 b(Andersson)f(and)g(J.)i(Harris,)g(Ph)n(ys.)e (Rev.)h(Lett.)g Fs(48)g Ft(\(1982\))2233 4118 y(545.)2042 4209 y([167])35 b(M.)f(Beutl,)i(K.D.)d(Rendulic,)i(and)e(G.R.)g (Castro,)k(Surf.)d(Sci.)2233 4301 y Fs(385)26 b Ft(\(1997\))h(97.)2042 4392 y([168])35 b(C.H.)28 b(Greene)f(and)g(R.N.)g(Zare,)h(J.)g(Chem.)e (Ph)n(ys.)h Fs(78)h Ft(\(1983\))2233 4483 y(6741.)2042 4575 y([169])35 b(D.)27 b(W)-6 b(etzig,)28 b(R.)f(Dopheide,)h(M.)g (Rutk)n(o)n(wski,)f(R.)g(Da)n(vid,)g(and)2233 4666 y(H.)e(Zac)n (harias,)j(Ph)n(ys.)d(Rev.)g(Lett.)h Fs(76)g Ft(\(1996\))h(463.)2042 4757 y([170])35 b(A.)e(Gross)i(and)f(M.)g(Sc)n(he\017er,)i(Prog.)f (Surf.)f(Sci.)g Fs(53)g Ft(\(1996\))2233 4848 y(187.)2042 4940 y([171])h(H.)25 b(Zac)n(harias,)j(priv)l(ate)d(comm)n(unication.) 2042 5031 y([172])35 b(A.)25 b(Eic)n(hler,)i(J.)f(Hafner,)h(A.)e (Gross,)i(and)e(M.)i(Sc)n(he\017er,)e(to)h(b)r(e)2233 5122 y(published.)2042 5214 y([173])35 b(K.)25 b(Christmann,)h(Surf.)g (Sci.)g(Rep.)f Fs(9)h Ft(\(1988\))h(1.)2042 5305 y([174])35 b(R.A.)51 b(Olsen,)58 b(P)-6 b(.H.T.)52 b(Philipsen,)59 b(E.J.)53 b(Baerends,)59 b(G.J.)2233 5396 y(Kro)r(es,)37 b(and)d(O.M.)h(L\034vvik,)i(J.)e(Chem.)f(Ph)n(ys.)g Fs(106)h Ft(\(1997\))1926 5645 y Fv(31)p eop %%Page: 32 32 32 31 bop 41 -83 a Ft(9286.)-150 8 y([175])35 b(R.A.)60 b(Olsen,)69 b(G.J.)61 b(Kro)r(es,)70 b(O.M.)60 b(L\034vvik,)68 b(and)60 b(E.J.)41 100 y(Baerends,)27 b(J.)f(Chem.)f(Ph)n(ys.)h Fs(107)g Ft(\(1997\))h(10652.)-150 191 y([176])35 b(G.E.)21 b(Gdo)n(wski,)h(R.H.)e(Stulen,)h(and)e(T.E.)j(F)-6 b(elter,)21 b(J.)g(V)-6 b(ac.)20 b(Sci.)41 282 y(T)-6 b(ec)n(hnol.)26 b(A)f Fs(5)h Ft(\(1987\))h(1103.)-150 374 y([177])35 b(F.)22 b(Besen)n(bac)n(her,)g(I.)f(Chork)n(endor\013,)h(B.S.)g (Clausen,)h(B.)f(Ham-)41 465 y(mer,)45 b(A.M.)e(Molen)n(bro)r(ek,)k (J.K.)42 b(N\034rsk)n(o)n(v,)k(and)41 b(I.)h(Stens-)41 556 y(gaard,)27 b(Science)f Fs(279)g Ft(\(1998\))h(1913.)-150 648 y([178])35 b(M.L.)27 b(Burk)n(e)e(and)g(R.J.)i(Madix,)f(Surf.)g (Sci.)g Fs(237)g Ft(\(1990\))h(1.)-150 739 y([179])35 b(G.)30 b(Comsa,)h(R.)e(Da)n(vid,)h(and)f(B.-J.)i(Sc)n(h)n(umac)n(her,) d(Surf.)i(Sci.)41 830 y Fs(95)c Ft(\(1980\))h(L210.)-150 922 y([180])35 b(A.)26 b(Gross,)h(to)f(b)r(e)f(published.)-150 1013 y([181])35 b(H.)55 b(Zac)n(harias,)65 b(priv)l(ate)54 b(comm)n(unication;)70 b(L.)55 b(Sc)n(hr\177)-38 b(oter,)41 1104 y(Ph.D.)26 b(thesis,)g(Univ)n(ersit\177)-38 b(at)26 b(Essen,)h(1991.)-150 1196 y([182])35 b(K.)19 b(Sinniah,)h(M.G.)g (Sherman,)f(L.B.)h(Lewis,)i(W.H.)d(W)-6 b(ein)n(b)r(erg,)41 1287 y(J.T.)24 b(Y)-6 b(ates,)23 b(and)f(K.C.)h(Janda,)h(Ph)n(ys.)e (Rev.)g(Lett.)g Fs(62)h Ft(\(1989\))41 1378 y(567.)-150 1469 y([183])35 b(U.)21 b(H\177)-38 b(ofer,)22 b(L.)f(Li,)i(and)d(T.F.) i(Heinz,)g(Ph)n(ys.)f(Rev.)f(B)h Fs(45)g Ft(\(1992\))41 1561 y(9485.)-150 1652 y([184])35 b(M.C.)24 b(Flo)n(w)n(ers,)h(N.B.H.)e (Jonathan,)h(Y.)e(Liu,)i(and)e(A.)h(Morris,)41 1743 y(J.)j(Chem.)g(Ph)n (ys.)f Fs(99)h Ft(\(1993\))h(7038.)-150 1835 y([185])35 b(J.W.)27 b(Sharp)e(and)g(G.)h(Eres,)h(Surf.)f(Sci.)g Fs(320)g Ft(\(1994\))h(169.)-150 1926 y([186])35 b(M.)25 b(Liehr,)g(C.M.)h(Greenlief,)g(M.)f(O\013en)n(b)r(erg,)f(and)g(S.R.)g (Kasi,)41 2017 y(J.)i(V)-6 b(ac.)26 b(Sci.)g(T)-6 b(ec)n(hnol.)26 b Fs(A8)g Ft(\(1990\))h(2960.)-150 2109 y([187])35 b(K.W.)e (Kolasinski,)k(W.)c(Nessler,)j(K.-H.)c(Bornsc)n(heuer,)k(and)41 2200 y(E.)26 b(Hasselbrink,)g(J.)h(Chem.)e(Ph)n(ys.)h Fs(101)g Ft(\(1994\))h(7082.)-150 2291 y([188])35 b(P)-6 b(.)21 b(Bratu)f(and)g(U.)g(H\177)-38 b(ofer,)23 b(Ph)n(ys.)d(Rev.)g (Lett.)g Fs(74)h Ft(\(1995\))g(1625.)-150 2383 y([189])35 b(P)-6 b(.)22 b(Bratu,)i(K.L.)e(Kompa)g(and)g(U.)g(H\177)-38 b(ofer,)23 b(Chem.)f(Ph)n(ys.)g(Lett.)41 2474 y Fs(251)k Ft(\(1996\))h(1.)-150 2565 y([190])35 b(K.W.)19 b(Kolasinski,)i(W.)e (Nessler,)i(A.)e(de)f(Meijere,)k(and)c(E.)h(Has-)41 2657 y(selbrink,)26 b(Ph)n(ys.)g(Rev.)f(Lett.)h Fs(72)g Ft(\(1994\))g(1356.) -150 2748 y([191])35 b(P)-6 b(.)24 b(Bratu,)h(W.)f(Brenig,)i(A.)d (Gross,)j(M.)f(Hartmann,)e(U.)h(H\177)-38 b(ofer)41 2839 y(P)-6 b(.)26 b(Kratzer,)g(and)f(R.)h(Russ,)f(Ph)n(ys.)h(Rev.)f(B)h Fs(54)g Ft(\(1996\))g(5978.)-150 2931 y([192])35 b(W.)23 b(Brenig,)h(A.)f(Gross,)h(U.)f(H\177)-38 b(ofer,)24 b(and)e(R.)h(Russ,) g(ph)n(ys.)f(stat.)41 3022 y(sol.)27 b(\(a\))f Fs(159)g Ft(\(1996\))h(75.)-150 3113 y([193])35 b(C.J.)d(W)-6 b(u,)32 b(I.V.)f(Iono)n(v)l(a,)h(and)e(E.A.)h(Carter,)j(Surf.)d(Sci.)g Fs(295)41 3205 y Ft(\(1993\))c(64.)-150 3296 y([194])35 b(Z.)27 b(Jing,)i(G.)e(Luco)n(vsky)-6 b(,)26 b(and)h(J.L.)h(Whitten,)f (Surf.)g(Sci.)h Fs(296)41 3387 y Ft(\(1993\))f(L33.)-150 3479 y([195])35 b(P)-6 b(.)19 b(Nac)n(h)n(tigall,)j(K.D.)d(Jordan,)i (and)e(C.)h(Sosa,)h(J.)f(Chem.)e(Ph)n(ys.)41 3570 y Fs(101)26 b Ft(\(1994\))h(8073.)-150 3661 y([196])35 b(P)-6 b(.)39 b(Nac)n(h)n(tigall)g(and)g(K.D.)f(Jordan,)43 b(J.)c(Chem.)f(Ph)n(ys.)h Fs(102)41 3753 y Ft(\(1995\))27 b(8249.)-150 3844 y([197])35 b(Z.)c(Jing)h(and)e(J.L.)i(Whitten,)f(J.)h(Chem.)e(Ph)n(ys.)h Fs(102)g Ft(\(1995\))41 3935 y(3867.)-150 4027 y([198])k(M.R.)i(Radek)n (e)f(and)h(E.A.)g(Carter,)k(Surf.)c(Sci.)g Fs(355)g Ft(\(1996\))41 4118 y(L289.)-150 4209 y([199])e(M.R.)26 b(Radek)n(e)f(and)g(E.A.)h (Carter,)g(Ph)n(ys.)g(Rev.)e(B)i Fs(54)g Ft(\(1996\))41 4301 y(11803.)-150 4392 y([200])35 b(M.R.)26 b(Radek)n(e)f(and)g(E.A.)h (Carter,)g(Ph)n(ys.)g(Rev.)e(B)i Fs(55)g Ft(\(1997\))41 4483 y(4649.)-150 4575 y([201])35 b(Z.)22 b(Jing)h(and)e(J.L.)i (Whitten,)f(Ph)n(ys.)g(Rev.)f(B)h Fs(46)g Ft(\(1992\))h(9544.)-150 4666 y([202])35 b(J.)46 b(Dabro)n(wski)g(and)f(M.)h(Sc)n(he\017er,)k (Appl.)45 b(Surf.)g(Sci.)h Fs(56)41 4757 y Ft(\(1992\))27 b(15.)-150 4848 y([203])35 b(J.E.)27 b(Northrup,)e(Ph)n(ys.)g(Rev.)h(B) g Fs(47)g Ft(\(1993\))g(10032.)-150 4940 y([204])35 b(R.A.)25 b(W)-6 b(olk)n(o)n(w,)27 b(Ph)n(ys.)e(Rev.)g(Lett.)h Fs(68)g Ft(\(1992\))h(2636.)-150 5031 y([205])35 b(E.L.)27 b(Bullo)r(c)n(k,)h(R.)f(Gunnella,)g(L.)g(P)n(atthey)-6 b(,)26 b(T.)h(Abuk)l(a)n(w)n(a,)f(S.)41 5122 y(Kono,)34 b(C.R.)f(Natoli,)h(and)e(L.S.O.)g(Johansson,)j(Ph)n(ys.)d(Rev.)41 5214 y(Lett.)26 b Fs(74)g Ft(\(1995\))h(2756.)-150 5305 y([206])35 b(A.R.)30 b(Smith,)g(F.K.)g(Men,)i(K.-J.)f(Chao,)h(and)e (C.K.)h(Shih,)g(J.)41 5396 y(V)-6 b(ac.)26 b(Sci.)g(T)-6 b(ec)n(hnol.)26 b(B)g Fs(14)g Ft(\(1996\))h(914.)2042 -83 y([207])35 b(C.)23 b(Y)-6 b(ang,)23 b(S.Y.)f(Lee,)i(and)e(H.C.)h (Kang,)h(J.)f(Chem.)f(Ph)n(ys.)g Fs(107)2233 8 y Ft(\(1997\))27 b(3295.)2042 100 y([208])35 b(P)-6 b(.)20 b(Kratzer,)h(B.)f(Hammer,)g (and)f(J.K.)h(N\034rsk)n(o)n(v,)h(Chem.)e(Ph)n(ys.)2233 191 y(Lett.)26 b Fs(229)g Ft(\(1994\))h(645.)2042 282 y([209])35 b(P)-6 b(.)30 b(Kratzer,)j(B.)e(Hammer,)f(and)g(J.K)h (N\034rsk)n(o)n(v,)g(Ph)n(ys.)g(Rev.)2233 374 y(B)26 b Fs(51)g Ft(\(1996\))h(13432.)2042 465 y([210])35 b(E.)27 b(P)n(ehlk)n(e)f(and)g(M.)h(Sc)n(he\017er,)g(Ph)n(ys.)f(Rev.)g(Lett.)h Fs(74)g Ft(\(1995\))2233 556 y(952.)2042 648 y([211])35 b(A.)40 b(Vittadini)g(and)f(A.)h(Selloni,)45 b(Chem.)39 b(Ph)n(ys.)h(Lett.)g Fs(235)2233 739 y Ft(\(1995\))27 b(334.)2042 830 y([212])35 b(S.)25 b(P)n(ai)i(and)e(D.)h(Doren,)g(J.)g (Chem.)f(Ph)n(ys.)h Fs(103)g Ft(\(1995\))h(1232.)2042 922 y([213])35 b(P)-6 b(.)40 b(Kratzer,)k(R.)c(Russ,)j(and)d(W.)g (Brenig,)k(Surf.)c(Sci.)g Fs(345)2233 1013 y Ft(\(1996\))27 b(125.)2042 1104 y([214])35 b(A.C.)25 b(Lun)n(tz)f(and)h(P)-6 b(.)24 b(Kratzer,)i(J.)g(Chem.)e(Ph)n(ys.)g Fs(104)i Ft(\(1996\))2233 1196 y(3075.)2042 1287 y([215])35 b(K.W.)27 b(Kolasinski,)i(S.F.)f(Shane,)f(and)g(R.N.)f(Zare,)j(J.)f(Chem.)2233 1378 y(Ph)n(ys.)d Fs(96)h Ft(\(1992\))h(3995.)2042 1469 y([216])35 b(Y.-S.)29 b(P)n(ark,)i(J.-Y.)e(Kim,)h(and)f(J.)h(Lee,)h(J.) f(Chem.)f(Ph)n(ys.)h Fs(98)2233 1561 y Ft(\(1993\))d(757.)2042 1652 y([217])35 b(M.C.)46 b(Flo)n(w)n(ers,)52 b(N.B.H.)46 b(Jonathan,)51 b(A.)45 b(Morris,)51 b(and)45 b(S.)2233 1743 y(W)-6 b(righ)n(t,)25 b(J.)i(Chem.)e(Ph)n(ys.)h Fs(108)g Ft(\(1998\))h(3342.)2042 1835 y([218])35 b(M.B.)24 b(Rasc)n(hk)n(e)e(and)g(U.)g(H\177)-38 b(ofer,)24 b(Surf.)f(Sci.)g (Lett.,)g(submitted;)2233 1926 y(P)-6 b(.)27 b(Kratzer,)g(E.)g(P)n (ehlk)n(e,)g(M.)g(Sc)n(he\017er,)g(M.B.)h(Rasc)n(hk)n(e,)e(and)2233 2017 y(U.)f(H\177)-38 b(ofer,)27 b(submitted.)2042 2109 y([219])35 b(P)-6 b(.L.)20 b(Silv)n(estrelli,)i(A.)e(Ala)n(vi,)h(M.)f (P)n(arrinello,)j(and)c(D.)g(F)-6 b(renk)n(el,)2233 2200 y(Ph)n(ys.)25 b(Rev.)h(Lett.)f Fs(77)h Ft(\(1996\))h(3149.)2042 2291 y([220])35 b(L.)19 b(Ga)n(violi,)j(M.G.)e(Betti,)g(and)f(C.)g (Mariani,)j(Ph)n(ys.)d(Rev.)f(Lett.)2233 2383 y Fs(77)26 b Ft(\(1996\))h(3869.)2042 2474 y([221])35 b(E.W.)k(Kuip)r(ers,)i(A.)d (V)-6 b(ardi,)42 b(A.)c(Danon,)j(and)d(A.)g(Amira)n(v,)2233 2565 y(Ph)n(ys.)25 b(Rev.)h(Lett.)f Fs(66)h Ft(\(1991\))h(116.)2042 2657 y([222])35 b(C.T.)27 b(Rettner,)e(Ph)n(ys.)h(Rev.)f(Lett.)h Fs(69)g Ft(\(1992\))h(383.)2042 2748 y([223])35 b(C.T.)c(Rettner)e(and) g(D.J.)i(Auerbac)n(h,)f(J.)h(Chem.)e(Ph)n(ys.)g Fs(104)2233 2839 y Ft(\(1996\))e(2732.)2042 2931 y([224])35 b(T.A.)25 b(Jac)n(himo)n(wski)g(and)f(W.H.)g(W)-6 b(ein)n(b)r(erg,)25 b(J.)g(Chem.)f(Ph)n(ys.)2233 3022 y Fs(101)i Ft(\(1994\))h(10997.)2042 3113 y([225])35 b(W.)23 b(Widdra,)h(S.I.)f(Yi,)g(R.)g(Mab)r(oudian,)h (G.A.D.)g(Briggs,)h(and)2233 3205 y(W.H.)h(W)-6 b(ein)n(b)r(erg,)25 b(Ph)n(ys.)h(Rev.)f(Lett.)h Fs(74)g Ft(\(1995\))h(2074.)2042 3296 y([226])35 b(S.A.)25 b(Bun)n(tin,)h(J.)g(Chem.)f(Ph)n(ys.)h Fs(108)g Ft(\(1998\))h(1601.)2042 3387 y([227])35 b(G.)26 b(Sc)n(h)n(ulze)f(and)g(M.)i(Henzler,)f(Surf.)g(Sci.)g Fs(124)g Ft(\(1983\))h(336.)2042 3479 y([228])35 b(S.)28 b(W)-6 b(ehner)27 b(and)h(J)g(K)r(\177)-41 b(upp)r(ers,)30 b(J.)f(Chem.)e(Ph)n(ys.)h Fs(108)h Ft(\(1998\))2233 3570 y(3353.)2042 3661 y([229])35 b(P)-6 b(.)26 b(Kratzer,)g(J.)g(Chem.)g (Ph)n(ys.)f Fs(106)h Ft(\(1997\))h(6752.)2042 3753 y([230])35 b(J.)26 b(Harris)h(and)e(B.)h(Kasemo,)g(Surf.)g(Sci.)g Fs(105)g Ft(\(1981\))h(L281.)2042 3844 y([231])35 b(B.)29 b(Jac)n(kson)g(and)f(M.)h(P)n(ersson,)i(J.)e(Chem.)f(Ph)n(ys.)g Fs(96)h Ft(\(1992\))2233 3935 y(2378.)2042 4027 y([232])35 b(M.)24 b(P)n(ersson)g(and)g(B.)g(Jac)n(kson,)h(J.)f(Chem.)f(Ph)n(ys.)h Fs(102)g Ft(\(1995\))2233 4118 y(1078.)2042 4209 y([233])35 b(J.)27 b(Str\177)-38 b(omquist,)26 b(L.)h(Bengtsson,)h(M.)g(P)n (ersson,)g(and)e(B.)i(Ham-)2233 4301 y(mer,)d(Surf.)h(Sci.)g Fs(397)g Ft(\(1998\))h(382.)2042 4392 y([234])35 b(W.)k(Brenig)h(and)e (D.)h(Menzel,)k(Eds.,)g Fu(Desorption)e(Induc)l(e)l(d)2233 4483 y(by)c(Ele)l(ctr)l(onic)g(T)-6 b(r)l(ansitions,)40 b(DIET)c(II)46 b Ft(\(Springer,)38 b(Berlin,)2233 4575 y(1985\).)2042 4666 y([235])d(F.M.)19 b(Zimmermann)c(and)j(W.)g(Ho,)h (Surf.)g(Sci.)f(Rep.)f Fs(22)i Ft(\(1995\))2233 4757 y(127.)2042 4848 y([236])35 b(J.W.)26 b(Gadzuk,)g(Ann)n(u.)e(Rev.)i(Ph) n(ys.)f(Chem.)g Fs(39)h Ft(\(1988\))h(395.)2042 4940 y([237])35 b(P)-6 b(.)26 b(Saalfrank,)g(Surf.)g(Sci.)g Fs(390)g Ft(\(1997\))h(1.)2042 5031 y([238])35 b(S.M.)c(Harris,)i(S.)e (Hollo)n(w)n(a)n(y)-6 b(,)33 b(and)d(G.R.)h(Darling,)i(J.)f(Chem.)2233 5122 y(Ph)n(ys.)25 b Fs(102)i Ft(\(1995\))g(8235.)2042 5214 y([239])35 b(P)-6 b(.)26 b(Saalfrank,)g(Chem.)g(Ph)n(ys.)f Fs(193)h Ft(\(1995\))h(119.)2042 5305 y([240])35 b(T.)h(Hertel,)h(M.)f (W)-6 b(olf,)38 b(and)d(G.Ertl,)j(J.)e(Chem.)f(Ph)n(ys.)f Fs(102)2233 5396 y Ft(\(1995\))27 b(3414.)1926 5645 y Fv(32)p eop %%Page: 33 33 33 32 bop -150 -83 a Ft([241])35 b(K.-H.)30 b(Bornsc)n(heuer,)i(W.)f (Nessler,)h(M.)f(Binetti,)i(E.)e(Hassel-)41 8 y(brink,)42 b(and)e(P)-6 b(.)39 b(Saalfrank,)44 b(Ph)n(ys.)c(Rev.)f(Lett.)g Fs(78)h Ft(\(1997\))41 100 y(1174.)-150 191 y([242])35 b(T.)26 b(Kl)r(\177)-41 b(uner,)26 b(H.-J.)f(F)-6 b(reund,)24 b(J.)i(F)-6 b(reitag,)26 b(and)f(V.)f(Staemmler,)41 282 y(J.)i(Chem.)g(Ph)n(ys.)f Fs(104)h Ft(\(1996\))h(10030.)-150 374 y([243])35 b(H.)j(Kuhlen)n(b)r(ec)n(k,)i(G.)e(Od\177)-38 b(orfer,)42 b(R.)c(Jaeger,)43 b(G.)38 b(Illing,)43 b(M.)41 465 y(Menges,)56 b(Th.)49 b(Mull,)55 b(H.-J.)49 b(F)-6 b(reund,)53 b(M.)d(P\177)-38 b(ohlc)n(hen,)54 b(V.)41 556 y(Staemmler,)39 b(S.)f(Witzel,)j(C.)d(Sc)n(harfsc)n(h)n(w)n(erdt,)j (K.)d(W)-6 b(enne-)41 648 y(mann,)33 b(T.)g(Liedte,)h(and)e(M.)h (Neumann,)f(Ph)n(ys.)h(Rev.)e(B)i Fs(43)41 739 y Ft(\(1991\))27 b(1969.)-150 830 y([244])35 b(P)-6 b(.R.)26 b(An)n(toniewicz,)g(Ph)n (ys.)g(Rev.)f(B)h Fs(21)g Ft(\(1980\))h(3811.)-150 922 y([245])35 b(Th.)27 b(Mull,)h(B.)f(Baumeister,)g(M.)h(Menges,)g(H.-J.)e (F)-6 b(reund,)26 b(D.)41 1013 y(W)-6 b(eide,)24 b(C.)f(Fisc)n(her,)i (and)e(P)-6 b(.)23 b(Andresen,)g(J.)g(Chem.)g(Ph)n(ys.)g Fs(96)41 1104 y Ft(\(1992\))k(7108.)-150 1196 y([246])35 b(W.)f(Brenig,)i(R.)d(Brak)n(o,)j(and)d(M.E.)i(Hilf,)h(Z.)e(Ph)n(ys.)f (Chem.)41 1287 y Fs(197)26 b Ft(\(1996\))h(237.)1926 5645 y Fv(33)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF