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def /odi { di o } bind def % Plus symbol /pl { dup 0 rmoveto dup -2 mul 0 rlineto dup dup rmoveto -2 mul 0 exch rlineto } bind def /dpl { m pl s } bind def % x symbol /x { dup dup rmoveto dup -2 mul dup rlineto 2 mul dup 0 rmoveto dup neg exch rlineto } bind def /dx { m x s } bind def % Splat symbol /dsp { m dup pl dup 0 exch rmoveto 0.707 mul x s } bind def /RJ { stringwidth neg exch neg exch rmoveto } bind def /CS { stringwidth 2 div neg exch 2 div neg exch rmoveto } bind def 0.24 0.24 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 2550 0 translate 90 rotate s 0.000000 0.000000 0.000000 setrgbcolor 1 setlinewidth /Times-Italic-ISOLatin1 findfont 90 scalefont setfont [] 0 setdash 7 setlinewidth 506 434 m 506 444 l 607 434 m 607 444 l 708 434 m 708 444 l 808 434 m 808 444 l 909 434 m 909 444 l 1010 434 m 1010 444 l 1111 434 m 1111 444 l 1211 434 m 1211 444 l 1312 434 m 1312 444 l 1413 434 m 1413 444 l 1514 434 m 1514 444 l 1614 434 m 1614 444 l 1715 434 m 1715 444 l 1816 434 m 1816 444 l 1916 434 m 1916 444 l 2017 434 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506 602 m 516 602 l 506 687 m 516 687 l 506 770 m 516 770 l 506 854 m 516 854 l 506 939 m 516 939 l 506 1023 m 516 1023 l 506 1106 m 516 1106 l 506 1190 m 516 1190 l 506 1274 m 516 1274 l 506 1359 m 516 1359 l 506 1443 m 516 1443 l 506 1526 m 516 1526 l 506 1611 m 516 1611 l 506 1694 m 516 1694 l 506 1778 m 516 1778 l 506 1863 m 516 1863 l 506 1946 m 516 1946 l 506 2030 m 516 2030 l 506 2114 m 516 2114 l s 506 434 m 526 434 l 506 602 m 526 602 l 506 770 m 526 770 l 506 939 m 526 939 l 506 1106 m 526 1106 l 506 1274 m 526 1274 l 506 1443 m 526 1443 l 506 1611 m 526 1611 l 506 1778 m 526 1778 l 506 1946 m 526 1946 l 506 2114 m 526 2114 l /Helvetica-ISOLatin1 findfont 108 scalefont setfont s 3 setlinewidth 437 434 m gsave 437 434 translate 0 rotate 0 -36 m (0.0) RJ (0.0) show grestore newpath 437 602 m gsave 437 602 translate 0 rotate 0 -36 m (0.1) RJ (0.1) show grestore newpath 437 770 m gsave 437 770 translate 0 rotate 0 -36 m (0.2) RJ (0.2) show grestore newpath 437 939 m gsave 437 939 translate 0 rotate 0 -36 m (0.3) RJ (0.3) show grestore newpath 437 1106 m gsave 437 1106 translate 0 rotate 0 -36 m (0.4) RJ (0.4) show grestore newpath 437 1274 m gsave 437 1274 translate 0 rotate 0 -36 m (0.5) RJ (0.5) show grestore newpath 437 1443 m gsave 437 1443 translate 0 rotate 0 -36 m (0.6) RJ (0.6) show grestore newpath 437 1611 m gsave 437 1611 translate 0 rotate 0 -36 m (0.7) RJ (0.7) show grestore newpath 437 1778 m gsave 437 1778 translate 0 rotate 0 -36 m (0.8) RJ (0.8) show grestore newpath 437 1946 m gsave 437 1946 translate 0 rotate 0 -36 m (0.9) RJ (0.9) show grestore newpath 437 2114 m gsave 437 2114 translate 0 rotate 0 -36 m (1.0) RJ (1.0) show grestore newpath /Helvetica-ISOLatin1 findfont 132 scalefont setfont 207 1274 m gsave 207 1274 translate 90 rotate 0 0 m (RMS Error \(eV\)) CS (RMS Error \(eV\)) show grestore newpath 7 setlinewidth 506 2007 m 516 1964 l 526 1973 l 536 1928 l 546 1608 l 557 1157 l 567 1019 l 577 906 l 587 829 l 597 777 l 607 735 l 617 701 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1859 1333 l 1968 1323 m 1968 1333 l 2078 1323 m 2078 1333 l 2187 1323 m 2187 1333 l 2296 1323 m 2296 1333 l 2406 1323 m 2406 1333 l 1312 2019 m 1312 2009 l 1421 2019 m 1421 2009 l 1531 2019 m 1531 2009 l 1640 2019 m 1640 2009 l 1749 2019 m 1749 2009 l 1859 2019 m 1859 2009 l 1968 2019 m 1968 2009 l 2078 2019 m 2078 2009 l 2187 2019 m 2187 2009 l 2296 2019 m 2296 2009 l 2406 2019 m 2406 2009 l s 1312 1323 m 1312 1343 l 1531 1323 m 1531 1343 l 1749 1323 m 1749 1343 l 1968 1323 m 1968 1343 l 2187 1323 m 2187 1343 l 2406 1323 m 2406 1343 l 1312 2019 m 1312 1999 l 1531 2019 m 1531 1999 l 1749 2019 m 1749 1999 l 1968 2019 m 1968 1999 l 2187 2019 m 2187 1999 l 2406 2019 m 2406 1999 l /Helvetica-ISOLatin1 findfont 86 scalefont setfont s 3 setlinewidth 1312 1250 m gsave 1312 1250 translate 0 rotate 0 -28 m (0) CS (0) show grestore newpath 1531 1250 m gsave 1531 1250 translate 0 rotate 0 -28 m (1000) CS (1000) show grestore newpath 1749 1250 m gsave 1749 1250 translate 0 rotate 0 -28 m (2000) CS (2000) show grestore newpath 1968 1250 m gsave 1968 1250 translate 0 rotate 0 -28 m (3000) CS (3000) show grestore newpath 2187 1250 m gsave 2187 1250 translate 0 rotate 0 -28 m (4000) CS (4000) show grestore newpath 2406 1250 m gsave 2406 1250 translate 0 rotate 0 -28 m (5000) CS (5000) show grestore newpath /Helvetica-ISOLatin1 findfont 90 scalefont setfont 1859 1083 m gsave 1859 1083 translate 0 rotate 0 0 m (Epochs) CS (Epochs) show grestore newpath 1 setlinewidth 1312 1323 m 1322 1323 l 1312 1381 m 1322 1381 l 1312 1439 m 1322 1439 l 1312 1497 m 1322 1497 l 1312 1555 m 1322 1555 l 1312 1613 m 1322 1613 l 1312 1671 m 1322 1671 l 1312 1729 m 1322 1729 l 1312 1787 m 1322 1787 l 1312 1845 m 1322 1845 l 1312 1903 m 1322 1903 l 1312 1961 m 1322 1961 l 1312 2019 m 1322 2019 l 2406 1323 m 2396 1323 l 2406 1381 m 2396 1381 l 2406 1439 m 2396 1439 l 2406 1497 m 2396 1497 l 2406 1555 m 2396 1555 l 2406 1613 m 2396 1613 l 2406 1671 m 2396 1671 l 2406 1729 m 2396 1729 l 2406 1787 m 2396 1787 l 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0.6215 0.6533 57 SCR 1.0000 1.0000 1.0000 58 SCR 1.0000 0.9242 0.9720 59 SCR 0.7489 1.0000 0.9402 60 SCR 0.9402 0.8286 1.0000 61 SCR 0.5258 1.0000 0.8764 62 SCR 0.8127 0.7808 0.9402 63 SCR 0.1912 1.0000 0.8445 64 SCR 0.6852 0.6693 0.8127 65 SCR 0.0956 0.8445 0.8445 66 SCR 0.6533 0.4780 0.7808 67 SCR 0.0956 0.6533 0.6533 68 SCR 0.6533 0.2390 0.7171 69 SCR 0.0000 0.4621 0.3824 70 SCR 0.5258 0.0000 0.6533 71 SCR 0.0000 0.2072 0.0000 72 SCR 0.0319 0.0000 0.0637 73 SCR 1.0000 1.0000 1.0000 74 SCR 0.0000 0.0000 0.0000 75 SCR 1.0000 1.0000 1.0000 76 SCR 0.0000 0.0000 0.0000 77 SCR 1.0000 0.1912 0.1275 78 SCR 0.0000 0.0000 0.0000 79 SCR 0.0956 1.0000 0.0956 80 SCR 0.0000 0.0000 0.0000 81 SCR 0.4462 0.4621 0.4462 82 SCR %%EndProlog 30 setlinewidth save 10000 0 0 400 -10000 0 15.000 3.000 16 F 2250 0 0 400 -2250 0 7.250 3.400 16 F [19 -2 147 -29 33 -9 W 51 0 0 399 -250 0 7.500 3.400 16 F R 0 -39 7.500 3.800 15 F [19 0 231 -21 W 0 359 -250 0 7.750 3.400 16 F R 0 -61 250 0 7.500 3.800 15 F [19 1 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Fr(,)k(i.e.)65 b(it)37 b(is)f(not)h(re-)2042 108 y(stricted)27 b(to)g(the)g(application)g(of)g (disso)r(ciation)f(problems)g(only)-7 b(.)2042 203 y(F)g(urthermore,)37 b(neural)e(net)n(w)n(orks)f(are)h(\015exible)h(and)g(can)f(eas-)2042 299 y(ily)d(b)r(e)g(adjusted)g(to)f(higher)g(dimensions,)i(in)f(con)n (trast)e(to)i(the)2042 394 y(analytical)20 b(represen)n(tation)g(whic)n (h)i(is)g(not)f(immediately)h(trans-)2042 490 y(ferable)k(to)h(other)g (problems)g(and)g(whose)f(extension)h(to)g(higher)2042 585 y(dimensions)g(is)h(rather)e(problematic.)2631 931 y Fj(IV.)88 b(CONCLUSIONS)2125 1158 y Fr(Using)63 b(the)h(h)n(ydrogen)f (disso)r(ciation)f(on)i(the)g(\(2)42 b Fh(\002)g Fr(2\))2042 1254 y(p)r(otassium-co)n(v)n(ered)d(Pd\(100\))i(surface)g(as)h(an)f (example,)46 b(w)n(e)2042 1349 y(ha)n(v)n(e)30 b(demonstrated)i(that)g (neural)f(net)n(w)n(orks)f(pro)n(vide)h(an)g(ac-)2042 1445 y(curate,)39 b(\015exible)f(and)f(e\016cien)n(t)g(sc)n(heme)g(for) g(the)h(con)n(tin)n(uous)2042 1540 y(represen)n(tation)d(of)h(an)g Fi(ab)j(initio)k Fr(p)r(oten)n(tial)37 b(energy)e(surface.)2042 1636 y(T)-7 b(aking)27 b(in)n(to)i(accoun)n(t)e(the)i(symmetries)f (underlying)g(the)h(par-)2042 1731 y(ticular)f(system)f(and)h(the)h (feedbac)n(k)f(from)g(dynamical)f(sim)n(ula-)2042 1826 y(tions,)g(a)h(relativ)n(ely)e(mo)r(derate)h(n)n(um)n(b)r(er)h(of)g (training)f(p)r(oin)n(ts)g(is)2042 1922 y(needed)32 b(in)h(order)e(to)h (obtain)g(a)g(reliable)f(\014t.)51 b(The)33 b(ev)-5 b(aluation)2042 2017 y(of)25 b(the)g(p)r(oten)n(tial)g(and)g(its)h(gradien)n(t)e(with)h (a)g(\014tted)h(neural)e(net-)2042 2113 y(w)n(ork)32 b(is)h(c)n(heap.)53 b(Th)n(us)34 b(the)f(neural)g(net)n(w)n(ork)f (represen)n(tation)2042 2208 y(of)21 b Fi(ab)j(initio)j Fr(energies)20 b(with)h(molecular)f(dynamics)g(sim)n(ulations)2042 2304 y(pro)n(vides)g(a)h(e\016cien)n(t)g(to)r(ol)g(to)g(study)h (reaction)e(pro)r(cesses)g(where)2042 2399 y(extensiv)n(e)27 b(statistics)g(are)g(required.)p 948 2601 2039 5 v 1203 2602 1529 7 v 1458 2603 1020 9 v 1712 2604 510 11 v -112 2849 a Fn([1])35 b(C.)c(Stamp\015,)g(M.)g(V.)g(Ganduglia-Piro)n(v)l (ano,)i(K.)e(Reuter,)h(and)3 2936 y(M.)26 b(Sc)n(he\017er,)34 b(Surf.)26 b(Sci.)g Fj(500)g Fn(\(2002\))h(368.)-112 3023 y([2])35 b(B.)29 b(Hammer,)f(M.)h(Sc)n(he\017er,)h(K.)f(Jacobsen,) i(and)d(J.)i(N\034rsk)n(o)n(v,)3 3111 y(Ph)n(ys.)25 b(Rev.)g(Lett.)h Fj(73)g Fn(\(1994\))h(1400.)-112 3198 y([3])35 b(S.)24 b(Wilk)n(e)g(and)f(M.)i(Sc)n(he\017er,)31 b(Ph)n(ys.)24 b(Rev.)g(B)g Fj(53)g Fn(\(1996\))h(4926.)-112 3285 y([4])35 b(A.)25 b(Gro\031,)36 b(Surf.)25 b(Sci.)h Fj(500)h Fn(\(2002\))g(347.) -112 3372 y([5])35 b(A.)25 b(Gro\031,)36 b(Surf.)25 b(Sci.)h(Rep.)g Fj(32)g Fn(\(1998\))h(291.)-112 3459 y([6])35 b(G.-J.)26 b(Kro)r(es,)35 b(Prog.)27 b(Surf.)f(Sci.)g Fj(60)g Fn(\(1999\))h(1.) -112 3547 y([7])35 b(G.-J.)29 b(Kro)r(es,)h(A.)f(Gro\031,)h(E.)g(J.)f (Baerends,)h(M.)f(Sc)n(he\017er,)h(and)3 3634 y(D.)25 b(A.)h(McCormac)n(k,)34 b(Acc.)26 b(Chem.)f(Res.)h Fj(35)g Fn(\(2002\))h(193.)-112 3721 y([8])35 b(M.)26 b(E.)g(T)-6 b(uc)n(k)n(erman,)33 b(J.)27 b(Ph)n(ys.:)34 b(Condens.)27 b(Matter)f Fj(14)g Fn(\(2003\))3 3808 y(R1297.)-112 3895 y([9])35 b(A.)d(Gro\031,)k(M.)d(Bo)r(c)n(kstedte,)i(and)d(M.)h(Sc)n (he\017er,)56 b(Ph)n(ys.)33 b(Rev.)3 3982 y(Lett.)25 b Fj(79)h Fn(\(1997\))h(701.)-150 4070 y([10])35 b(G.)i(Wiesenekk)n (er,)k(G.-J.)d(Kro)r(es,)j(and)c(E.)g(J.)h(Baerends,)73 b(J.)3 4157 y(Chem.)25 b(Ph)n(ys.)g Fj(104)i Fn(\(1996\))g(7344.)-150 4244 y([11])35 b(A.)25 b(Gro\031)h(and)f(M.)g(Sc)n(he\017er,)34 b(Ph)n(ys.)25 b(Rev.)f(B)i Fj(57)f Fn(\(1998\))h(2493.)-150 4331 y([12])35 b(H.)23 b(F.)h(Busnengo,)g(A.)f(Salin,)i(and)e(W.)g (Dong,)31 b(J.)25 b(Chem.)d(Ph)n(ys.)3 4418 y Fj(112)k Fn(\(2000\))h(7641.)-150 4505 y([13])35 b(G.)26 b(Kresse,)35 b(Ph)n(ys.)25 b(Rev.)h(B)g Fj(62)g Fn(\(2000\))g(8295.)-150 4593 y([14])35 b(H.)c(F.)g(Busnengo,)i(W.)e(Dong,)i(and)e(A.)g(Salin,) 52 b(Chem.)30 b(Ph)n(ys.)3 4680 y(Lett.)25 b Fj(320)i Fn(\(2000\))g(328.)-150 4767 y([15])35 b(M.)19 b(A.)g(Di)f(Cesare,)k (H.)d(F.)g(Busnengo,)i(W.)e(Dong,)i(and)d(A.)h(Salin,)3 4854 y(J.)26 b(Chem.)f(Ph)n(ys.)h Fj(118)g Fn(\(2003\))h(11226.)-150 4941 y([16])35 b(C.)e(Cresp)r(os,)j(M.)d(A.)f(Collins,)k(E.)d(Pijp)r (er,)j(and)c(G.-J.)h(Kro)r(es,)3 5028 y(Chem.)25 b(Ph)n(ys.)g(Lett.)h Fj(376)g Fn(\(2003\))h(566.)-150 5116 y([17])35 b(C.)23 b(Cresp)r(os,)i(M.)f(A.)e(Collins,)k(E.)d(Pijp)r(er,)i(and)d(G.-J.)i (Kro)r(es,)31 b(J.)3 5203 y(Chem.)25 b(Ph)n(ys.)g Fj(120)i Fn(\(2004\))g(2392.)-150 5290 y([18])35 b(J.)19 b(Hertz,)h(A.)e(Krogh,) i(and)e(R.)g(G.)h(P)n(almer,)24 b Fo(Intr)l(o)l(duction)f(to)e(the)3 5377 y(The)l(ory)32 b(of)f(Neur)l(al)h(Computation)p Fn(,)48 b(Addison-W)-6 b(esley)g(,)30 b(Read-)2194 2849 y(ing,)d(1996.)2042 2936 y([19])34 b(F.)28 b(Scarselli)i(and)d(A.)g(C.) i(Tsoi,)42 b(Neural)27 b(Net)n(w)n(orks)h Fj(11)g Fn(\(1998\))2194 3023 y(15.)2042 3111 y([20])34 b(T.)i(B.)f(Blank,)j(A.)c(W.)h(Bro)n (wn,)j(S.)d(D.)g(Calhoun,)i(and)e(D.)f(J.)2194 3198 y(Doren,)h(J.)26 b(Chem.)f(Ph)n(ys.)h Fj(103)g Fn(\(1995\))h(4129.)2042 3285 y([21])34 b(D.)22 b(F.)h(R.)f(Bro)n(wn,)h(M.)g(N.)f(Gibbs,)h(and)f (D.)g(C.)g(Clary)-6 b(,)30 b(J.)23 b(Chem.)2194 3372 y(Ph)n(ys.)j Fj(105)g Fn(\(1996\))h(7597.)2042 3459 y([22])34 b(K.)26 b(Hornik,)g(M.)h(Stinc)n(hcom)n(b)r(e,)e(and)h(H.)f(White,)36 b(Neural)26 b(Net-)2194 3547 y(w)n(orks)h Fj(2)e Fn(\(1989\))i(359.) 2042 3634 y([23])34 b(S.)23 b(Shah,)g(F.)h(P)n(almieri,)g(and)f(M.)g (Datum,)29 b(Neural)23 b(Net)n(w)n(orks)g Fj(5)2194 3721 y Fn(\(1992\))k(779.)2042 3808 y([24])34 b(S.)26 b(Lorenz,)g(A.)g (Gro\031,)h(and)e(M.)i(Sc)n(he\017er,)34 b(to)25 b(b)r(e)h(published.) 2042 3895 y([25])34 b(B.)54 b(Kohler,)60 b(S.)53 b(Wilk)n(e,)60 b(M.)53 b(Sc)n(he\017er,)60 b(R.)53 b(Kouba,)59 b(and)2194 3982 y(C.)22 b(Am)n(brosc)n(h-Draxl,)27 b(Comput.)20 b(Ph)n(ys.)i(Comm)n(un.)d Fj(94)j Fn(\(1996\))2194 4070 y(31.)2042 4157 y([26])34 b(P)-6 b(.)25 b(Blaha,)h(K.)f(Sc)n(h)n(w)n (arz,)g(and)f(J.)h(Luitz,)33 b Fo(Wien97)p Fn(,)f(T)-6 b(ec)n(hnisc)n(he)2194 4244 y(Univ)n(ersit\177)-38 b(at)26 b(Wien,)g(Austria,)g(1999,)36 b(ISBN)25 b(3-9501031-0-4.)2042 4331 y([27])34 b(J.)25 b(P)-6 b(.)23 b(P)n(erdew,)i(J.)f(A.)f(Chev)l (ary)-6 b(,)23 b(S.)h(H.)f(V)-6 b(osk)n(o,)23 b(K.)h(A.)f(Jac)n(kson,) 2194 4418 y(M.)g(R.)e(P)n(ederson,)i(D.)f(J.)g(Singh,)g(and)f(C.)i (Fiolhais,)30 b(Ph)n(ys.)22 b(Rev.)2194 4505 y(B)k Fj(46)g Fn(\(1992\))h(6671.)2042 4593 y([28])34 b(A.)23 b(Gro\031,)i(S.)e(Wilk) n(e,)h(and)f(M.)g(Sc)n(he\017er,)30 b(Ph)n(ys.)23 b(Rev.)g(Lett.)g Fj(75)2194 4680 y Fn(\(1995\))k(2718.)2042 4767 y([29])34 b(A.)h(Gro\031)h(and)e(M.)h(Sc)n(he\017er,)63 b(J.)36 b(V)-6 b(ac.)34 b(Sci.)h(T)-6 b(ec)n(hnol.)36 b(A)e Fj(15)2194 4854 y Fn(\(1997\))27 b(1624.)2042 4941 y([30])34 b(M.)46 b(Karik)n(orpi,)k(S.)45 b(Hollo)n(w)n(a)n(y)-6 b(,)51 b(N.)44 b(Henriksen,)50 b(and)44 b(J.)i(K.)2194 5028 y(N\034rsk)n(o)n(v,)34 b(Surf.)26 b(Sci.)g Fj(179)g Fn(\(1987\))h(L41.) 2042 5116 y([31])34 b(A.)h(Gro\031,)k(C.-M.)e(W)-6 b(ei,)37 b(and)e(M.)h(Sc)n(he\017er,)65 b(Surf.)35 b(Sci.)g Fj(416)2194 5203 y Fn(\(1998\))27 b(L1095.)2042 5290 y([32])34 b(A.)25 b(Gro\031)i(and)d(M.)i(Sc)n(he\017er,)33 b(Ph)n(ys.)25 b(Rev.)g(B)g Fj(61)h Fn(\(2000\))g(8425.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF