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2015 | OriginalPaper | Chapter

Density Functional Theory Beyond the Generalized Gradient Approximation for Surface Chemistry

Author : Benjamin G. Janesko

Published in: Density Functionals

Publisher: Springer International Publishing

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Abstract

Density functional theory with generalized gradient approximations (GGAs) for the exchange-correlation density functional is widely used to model adsorption and reaction of molecules on surfaces. In other areas of computational chemistry, GGAs have largely been replaced by more accurate meta-GGA and hybrid approximations. Meta-GGAs and hybrids can ameliorate GGAs’ systematic over-delocalization of electrons and systematic underestimate of reaction barriers. This chapter discusses extensions of meta-GGAs and screened hybrids to surface chemistry. It reviews evidence that GGAs’ systematic underestimate of gas-phase reaction barriers carries over to reactions on surfaces, and that meta-GGAs and screened hybrids can improve results. It closes with recent applications and new work towards more accurate functionals for surfaces. These promising results motivate further exploration of meta-GGAs and screened hybrids for surface chemistry.

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Literature
1.
go back to reference Ertl G (2009) Reactions at solid surfaces. Wiley, Hoboken Ertl G (2009) Reactions at solid surfaces. Wiley, Hoboken
2.
go back to reference Kneipp J, Kneipp H, Kneipp K (2008) Chem Rev 37:1052 Kneipp J, Kneipp H, Kneipp K (2008) Chem Rev 37:1052
3.
go back to reference Manthiram A, Murugan AV, Sarkar A, Muraliganth T (2008) Energy Environ Sci 1:621 Manthiram A, Murugan AV, Sarkar A, Muraliganth T (2008) Energy Environ Sci 1:621
4.
5.
go back to reference The Nobel Prize in Chemistry 2007. Nobelprize.org. Nobel Media AB 2013. Web 8 Dec 2013 The Nobel Prize in Chemistry 2007. Nobelprize.org. Nobel Media AB 2013. Web 8 Dec 2013
7.
8.
go back to reference Galvis HMT, Koeken AC, Bitter JH, Davidian T, Ruitenbeek M, Dugulan AI, de Jong KP (2013) J Catal 303:22 Galvis HMT, Koeken AC, Bitter JH, Davidian T, Ruitenbeek M, Dugulan AI, de Jong KP (2013) J Catal 303:22
9.
go back to reference Mitchell WJ, Wang Y, Xie J, and Weinberg WH (1993) J Am Chem Soc 115:4381 Mitchell WJ, Wang Y, Xie J, and Weinberg WH (1993) J Am Chem Soc 115:4381
10.
go back to reference Heiz U, Schneider WD (2000) J Phys D Appl Phys 33:R85 Heiz U, Schneider WD (2000) J Phys D Appl Phys 33:R85
11.
go back to reference Zhang S, Nguyen L, Zhu Y, Zhan S, Tsung CKF, Tao FF (2013) Acc Chem Res 46:1731 Zhang S, Nguyen L, Zhu Y, Zhan S, Tsung CKF, Tao FF (2013) Acc Chem Res 46:1731
12.
go back to reference Vang RT, Lauritsen JV, Lægsgaard E, Bensebacher F (2008) Chem Soc Rev 37:2191 Vang RT, Lauritsen JV, Lægsgaard E, Bensebacher F (2008) Chem Soc Rev 37:2191
13.
go back to reference Maitlis PM (2004) J Organomet Chem 689:4366 Maitlis PM (2004) J Organomet Chem 689:4366
14.
go back to reference Neurock M, van Santen RA (2006) Molecular heterogeneous catalysis: a conceptual and computational approach. Wiley-VCH Verlag GmbH & Co. KGaA, Weinham Neurock M, van Santen RA (2006) Molecular heterogeneous catalysis: a conceptual and computational approach. Wiley-VCH Verlag GmbH & Co. KGaA, Weinham
15.
go back to reference Schatz GC, Van Duyne RP (2002) In: Chalmers JM, Griffiths PR (eds) Handbook of vibrational spectroscopy. Wiley, New York Schatz GC, Van Duyne RP (2002) In: Chalmers JM, Griffiths PR (eds) Handbook of vibrational spectroscopy. Wiley, New York
16.
go back to reference Zhao LL, Jensen L, Schatz GC (2006) J Am Chem Soc 128:2911 Zhao LL, Jensen L, Schatz GC (2006) J Am Chem Soc 128:2911
17.
go back to reference Son YW, Cohen ML, Louie SG (2006) Nature 444:347 Son YW, Cohen ML, Louie SG (2006) Nature 444:347
18.
go back to reference Ovesen CV, Clausen BS, Hammershøi BS, Steffensen G, Askgaard T, Chorkendorff I, Nørskov JK, Rasmussen PB, Stoltze P, Taylor P (1996) J Catal 158:170 Ovesen CV, Clausen BS, Hammershøi BS, Steffensen G, Askgaard T, Chorkendorff I, Nørskov JK, Rasmussen PB, Stoltze P, Taylor P (1996) J Catal 158:170
19.
go back to reference Callaghan C, Fishtik I, Datta R (2002) Worchester Polytechnic Institute, Fuel Chemistry Division Preprints Callaghan C, Fishtik I, Datta R (2002) Worchester Polytechnic Institute, Fuel Chemistry Division Preprints
20.
go back to reference Grabow LC, Gokhale AA, Evans ST, Dumesic JA, Mavrikakis M (2008) J Phys Chem C 112:4608 Grabow LC, Gokhale AA, Evans ST, Dumesic JA, Mavrikakis M (2008) J Phys Chem C 112:4608
21.
go back to reference Mirwald JR, Inderwildi OR (2012) Phys Chem Chem Phys 14:7028 Mirwald JR, Inderwildi OR (2012) Phys Chem Chem Phys 14:7028
22.
go back to reference Lanzani G, Martinazzo R, Materzanini G, Pino I, Tantardini GF (2007) Theor Chem Acc 117:805 Lanzani G, Martinazzo R, Materzanini G, Pino I, Tantardini GF (2007) Theor Chem Acc 117:805
23.
go back to reference Czekaj I, Wambach J, Kröcher O (2009) Int J Mol Sci 10:4310 Czekaj I, Wambach J, Kröcher O (2009) Int J Mol Sci 10:4310
24.
go back to reference Huang P, Carter EA (2008) Annu Rev Phys Chem 59:261 Huang P, Carter EA (2008) Annu Rev Phys Chem 59:261
25.
go back to reference Bauschlicher CW Jr (1994) J Chem Phys 101:3250 Bauschlicher CW Jr (1994) J Chem Phys 101:3250
26.
go back to reference Filippi C, Healy SB, Kratzer P, Pehlke E, Scheffler M (2002) Phys Rev Lett 89:166102 Filippi C, Healy SB, Kratzer P, Pehlke E, Scheffler M (2002) Phys Rev Lett 89:166102
27.
go back to reference Szabo A, Ostlund NS (1989) Modern quantum chemistry: introduction to advanced electronic structure theory. Dover Publications Inc., Mineola, New York Szabo A, Ostlund NS (1989) Modern quantum chemistry: introduction to advanced electronic structure theory. Dover Publications Inc., Mineola, New York
28.
go back to reference de Jong GT, Bickelhaupt FM (2006) J Chem Theory Comput 2:322 de Jong GT, Bickelhaupt FM (2006) J Chem Theory Comput 2:322
29.
go back to reference Njegic B, Gordon MS (2008) J Chem Phys 129:124705 Njegic B, Gordon MS (2008) J Chem Phys 129:124705
30.
go back to reference Wang Y, Qian HJ, Morokuma K, Irle S (2012) J Phys Chem A 116:7154 Wang Y, Qian HJ, Morokuma K, Irle S (2012) J Phys Chem A 116:7154
31.
go back to reference Hansen JA, Ehara M, Piecuch P (2013) J Phys Chem A 117:10416 Hansen JA, Ehara M, Piecuch P (2013) J Phys Chem A 117:10416
32.
go back to reference Pozzo M, Alfè D (2008) Phys Rev B 78:245313 Pozzo M, Alfè D (2008) Phys Rev B 78:245313
33.
go back to reference Kanai Y, Takeuchi N (2009) J Chem Phys 131:214708 Kanai Y, Takeuchi N (2009) J Chem Phys 131:214708
34.
go back to reference Hsing CR, Wei CM, Chou MY (2012) J Phys Condens Matter 24:395002 Hsing CR, Wei CM, Chou MY (2012) J Phys Condens Matter 24:395002
35.
36.
go back to reference Ren X, Rinke P, Scheffler M (2009) Phys Rev B 80:045402 Ren X, Rinke P, Scheffler M (2009) Phys Rev B 80:045402
37.
go back to reference Göltl F, Grüneis A, Bučko T, Hafner J (2012) J Chem Phys 137:114111 Göltl F, Grüneis A, Bučko T, Hafner J (2012) J Chem Phys 137:114111
38.
go back to reference Mittendorfer F, Garhofer A, Redinger J, Klimeš J, Harl J, Kresse G (2011) Phys Rev B 84:201401 Mittendorfer F, Garhofer A, Redinger J, Klimeš J, Harl J, Kresse G (2011) Phys Rev B 84:201401
39.
go back to reference Ren X, Rinke P, Joas C, Scheffler M (2012) J Mater Sci 47:7447 Ren X, Rinke P, Joas C, Scheffler M (2012) J Mater Sci 47:7447
40.
go back to reference Kim HJ, Tkatchenko A, Cho JH, Scheffler M (2012) Phys Rev B 85:041403(R) Kim HJ, Tkatchenko A, Cho JH, Scheffler M (2012) Phys Rev B 85:041403(R)
41.
go back to reference Karlický F, Lazar P, Dubecký M, Otyepka M (2013) J Chem Theory Comput 9:3670 Karlický F, Lazar P, Dubecký M, Otyepka M (2013) J Chem Theory Comput 9:3670
42.
go back to reference Olsen T, Thygesen KS (2013) Phys Rev B 87:075111 Olsen T, Thygesen KS (2013) Phys Rev B 87:075111
43.
go back to reference Hayashi K, Sato S, Bai S, Higuchi Y, Ozawa N, Shimazaki T, Adachi J, Martin JM, Kubo M (2012) Faraday Discuss 156:137 Hayashi K, Sato S, Bai S, Higuchi Y, Ozawa N, Shimazaki T, Adachi J, Martin JM, Kubo M (2012) Faraday Discuss 156:137
44.
go back to reference Hohenberg P, Kohn W (1964) Phys Rev B136:864 Hohenberg P, Kohn W (1964) Phys Rev B136:864
45.
46.
47.
48.
go back to reference Bartlett RJ, Schweigert IV, Lotrich VF (2006) J Mol Struct 771:1 Bartlett RJ, Schweigert IV, Lotrich VF (2006) J Mol Struct 771:1
49.
go back to reference Perdew JP, Schmidt K (2001) In: Van Doren V, Van Alsenoy C, Geerlings P (eds) Density functional theory and its application to materials. American Institute of Physics, Melville, pp 1–20 Perdew JP, Schmidt K (2001) In: Van Doren V, Van Alsenoy C, Geerlings P (eds) Density functional theory and its application to materials. American Institute of Physics, Melville, pp 1–20
50.
51.
go back to reference Vosko SH, Wilk L, Nusair M (1980) Can J Phys 58(8):1200 Vosko SH, Wilk L, Nusair M (1980) Can J Phys 58(8):1200
52.
go back to reference Gell-Mann M, Brueckner KA (1957) Phys Rev 106:364 Gell-Mann M, Brueckner KA (1957) Phys Rev 106:364
53.
go back to reference Ceperley DM, Alder BJ (1980) Phys Rev Lett 45:566 Ceperley DM, Alder BJ (1980) Phys Rev Lett 45:566
54.
go back to reference Burke K, Cruz FG, Lam KC (1998) J Chem Phys 109(19):8161 Burke K, Cruz FG, Lam KC (1998) J Chem Phys 109(19):8161
55.
go back to reference Perdew JP, Burke K, Ernzerhof M (1996) Phys Rev Lett 77:3865, 78:1396(E) (1997) Perdew JP, Burke K, Ernzerhof M (1996) Phys Rev Lett 77:3865, 78:1396(E) (1997)
56.
57.
58.
go back to reference Janthon P, Kozlov SM, Viñes F, Limtrakul J, Illas F (2013) J Chem Theory Comput 9:1631 Janthon P, Kozlov SM, Viñes F, Limtrakul J, Illas F (2013) J Chem Theory Comput 9:1631
59.
go back to reference Stroppa A, Kresse G (2008) New J Phys 10:063020 Stroppa A, Kresse G (2008) New J Phys 10:063020
60.
go back to reference Schimka L, Harl J, Stroppa A, Grüneis A, Marsman M, Mittendorfer F, Kresse G (2010) Nat Mater 9:741 Schimka L, Harl J, Stroppa A, Grüneis A, Marsman M, Mittendorfer F, Kresse G (2010) Nat Mater 9:741
61.
go back to reference Goerigk L, Grimme S (2011) Phys Chem Chem Phys 13:6670 Goerigk L, Grimme S (2011) Phys Chem Chem Phys 13:6670
62.
go back to reference Perdew JP, Ruzsinszky A, Csonka GA, Vydrov OA, Scuseria GE, Constantin LI, Zhou X, Burke K (2008) Phys Rev Lett 100:136406 Perdew JP, Ruzsinszky A, Csonka GA, Vydrov OA, Scuseria GE, Constantin LI, Zhou X, Burke K (2008) Phys Rev Lett 100:136406
63.
go back to reference Armiento R, Mattsson AE (2005) Phys Rev B 72:085108 Armiento R, Mattsson AE (2005) Phys Rev B 72:085108
64.
65.
go back to reference Tran F, Lasowski R, Blaha P, Schwarz K (2007) Phys Rev B 75:115131 Tran F, Lasowski R, Blaha P, Schwarz K (2007) Phys Rev B 75:115131
66.
go back to reference Zhang Y, Yang W (1998) Phys Rev Lett 80:890 Zhang Y, Yang W (1998) Phys Rev Lett 80:890
67.
go back to reference Hammer B, Hansen LB, Nørskov JK (1999) Phys Rev B 59:7413 Hammer B, Hansen LB, Nørskov JK (1999) Phys Rev B 59:7413
68.
69.
go back to reference Lee C, Yang W, Parr RG (1988) Phys Rev B 37:785 Lee C, Yang W, Parr RG (1988) Phys Rev B 37:785
70.
71.
go back to reference Hamprecht FA, Cohen AJ, Tozer DJ, Handy NC (1998) J Chem Phys 109:6264 Hamprecht FA, Cohen AJ, Tozer DJ, Handy NC (1998) J Chem Phys 109:6264
72.
go back to reference Perdew JP (1991) In: Ziesche P, Eschrig H (eds) Electronic structure of solids’91. Akademie Verlag, Berlin Perdew JP (1991) In: Ziesche P, Eschrig H (eds) Electronic structure of solids’91. Akademie Verlag, Berlin
73.
go back to reference Patton DC, Pederson MR (1997) Phys Rev A 56:R2495 Patton DC, Pederson MR (1997) Phys Rev A 56:R2495
74.
75.
go back to reference Johnson ER, Mackie ID, DiLabio GA (2009) J Phys Organ Chem 22:1127 Johnson ER, Mackie ID, DiLabio GA (2009) J Phys Organ Chem 22:1127
76.
go back to reference Klimes J, Michaelides A (2012) J Chem Phys 137:120901 Klimes J, Michaelides A (2012) J Chem Phys 137:120901
77.
go back to reference Ramalho JAPP, Gomes JRB, Illas F (2013) RSC Adv 3:13085 Ramalho JAPP, Gomes JRB, Illas F (2013) RSC Adv 3:13085
78.
go back to reference Thrower JD, Friis EE, Skov AL, Nilsson L, Andersen M, Ferrighi L, Jrgensen B, Baouche S, Balog R, Hammer B, Hornekr L (2013) J Phys Chem C 117(26):13520 Thrower JD, Friis EE, Skov AL, Nilsson L, Andersen M, Ferrighi L, Jrgensen B, Baouche S, Balog R, Hammer B, Hornekr L (2013) J Phys Chem C 117(26):13520
79.
go back to reference Romaner L, Nabok D, Puschnig P, Zojer E, Ambrosch-Draxl C (2009) New J Phys 11:053010 Romaner L, Nabok D, Puschnig P, Zojer E, Ambrosch-Draxl C (2009) New J Phys 11:053010
80.
go back to reference Ruiz VG, Liu W, Zojer E, Scheffler M, Tkatchenko A (2012) Phys Rev Lett 108:146103 Ruiz VG, Liu W, Zojer E, Scheffler M, Tkatchenko A (2012) Phys Rev Lett 108:146103
81.
go back to reference Londero E, Karlson EK, Landahl M, Ostrovskii D, Rydberg JD, Schröder E (2012) J Phys Condens Matter 24(42):424212 Londero E, Karlson EK, Landahl M, Ostrovskii D, Rydberg JD, Schröder E (2012) J Phys Condens Matter 24(42):424212
82.
go back to reference Rakow JR, Tüllmann S, Holthausen MC (2009) J Phys Chem A 113:12035 Rakow JR, Tüllmann S, Holthausen MC (2009) J Phys Chem A 113:12035
83.
go back to reference Zhao Y, Truhlar DG (2008) J Phys Chem C 112:6860 Zhao Y, Truhlar DG (2008) J Phys Chem C 112:6860
84.
go back to reference Gomes J, Zimmerman PM, Head-Gordon M, Bell AT (2012) J Phys Chem C 116:15406 Gomes J, Zimmerman PM, Head-Gordon M, Bell AT (2012) J Phys Chem C 116:15406
85.
go back to reference Goerigk L, Grimme S (2010) J Chem Theory Comput 6:107 Goerigk L, Grimme S (2010) J Chem Theory Comput 6:107
86.
go back to reference Zhao Y, Lynch BJ, Truhlar DG (2004) J Phys Chem A 108:2715 Zhao Y, Lynch BJ, Truhlar DG (2004) J Phys Chem A 108:2715
87.
go back to reference Zhao Y, Gonzáles-García N, Truhlar DG (2005) J Phys Chem A 109:2012, 110:4942(E) (2006) Zhao Y, Gonzáles-García N, Truhlar DG (2005) J Phys Chem A 109:2012, 110:4942(E) (2006)
88.
go back to reference Gerber IC, Ángyán JG (2007) J Chem Phys 126:044103 Gerber IC, Ángyán JG (2007) J Chem Phys 126:044103
89.
go back to reference Schwabe T, Grimme S (2007) Phys Chem Chem Phys 9:3397 Schwabe T, Grimme S (2007) Phys Chem Chem Phys 9:3397
90.
go back to reference Benighaus T, DiStasio RA Jr, Lochan RC, Chai JD, Head-Gordon M (2008) J Phys Chem A 112:2702 Benighaus T, DiStasio RA Jr, Lochan RC, Chai JD, Head-Gordon M (2008) J Phys Chem A 112:2702
91.
go back to reference Chai JD, Head-Gordon M (2008) Phys Chem Chem Phys 10:6615 Chai JD, Head-Gordon M (2008) Phys Chem Chem Phys 10:6615
92.
go back to reference Lin YS, Li GD, Mao SP, Chai JD (2012) J Chem Theory Comput. dx.doi.org/10.1021/ct300715s Lin YS, Li GD, Mao SP, Chai JD (2012) J Chem Theory Comput. dx.doi.org/10.1021/ct300715s
93.
go back to reference Svelle S, Tuma C, Rozanska X, Kerber T, Sauer J (2009) J Am Chem Soc 131(2):816 Svelle S, Tuma C, Rozanska X, Kerber T, Sauer J (2009) J Am Chem Soc 131(2):816
94.
95.
go back to reference Greeley J, Nørskov JK, Mavrikakis M (2002) Annu Rev Phys Chem 53:319 Greeley J, Nørskov JK, Mavrikakis M (2002) Annu Rev Phys Chem 53:319
96.
go back to reference Nørskov JK, Abild-Pedersen F, Studt F, Bligaard T (2011) Proc Natl Acad Sci USA 108:937 Nørskov JK, Abild-Pedersen F, Studt F, Bligaard T (2011) Proc Natl Acad Sci USA 108:937
97.
go back to reference Hod O, Peralta JE, Scuseria GE (2007) Phys Rev B 76:233401 Hod O, Peralta JE, Scuseria GE (2007) Phys Rev B 76:233401
98.
go back to reference Chen Z, Lu YM, Rooks MJ, Avouris P (2007) Physica E 40:228 Chen Z, Lu YM, Rooks MJ, Avouris P (2007) Physica E 40:228
99.
go back to reference Han MY, Özyilmaz B, Zhang Y, Kim P (2007) Phys Rev Lett 98:206805 Han MY, Özyilmaz B, Zhang Y, Kim P (2007) Phys Rev Lett 98:206805
100.
go back to reference Kozlov SM, Viñes F, Görling A (2011) Adv Mater 23:2638 Kozlov SM, Viñes F, Görling A (2011) Adv Mater 23:2638
101.
go back to reference Balog R, Jrgensen B, Nilsson L, Andersen M, Rienks E, Bianchi M, Fanetti M, Lgs-gaard E, Baraldi A, Lizzit S, Sljivancanin Z, Besenbacher F, Hammer B, Pedersen TG, Hofmann P, Hornekr L (2010) Nat Mater 9:315 Balog R, Jrgensen B, Nilsson L, Andersen M, Rienks E, Bianchi M, Fanetti M, Lgs-gaard E, Baraldi A, Lizzit S, Sljivancanin Z, Besenbacher F, Hammer B, Pedersen TG, Hofmann P, Hornekr L (2010) Nat Mater 9:315
102.
go back to reference Lopez-Bezanilla A, Huang J, Terrones H, Sumpter BG (2011) Nano Lett 11:3267 Lopez-Bezanilla A, Huang J, Terrones H, Sumpter BG (2011) Nano Lett 11:3267
103.
go back to reference Miotto R, Srivastava GP, Ferraz AC (1998) Phys Rev B 58:7944 Miotto R, Srivastava GP, Ferraz AC (1998) Phys Rev B 58:7944
104.
105.
go back to reference Chung ON, Kim H, Chung S, Koo JY (2006) Phys Rev B 73:033303 Chung ON, Kim H, Chung S, Koo JY (2006) Phys Rev B 73:033303
106.
go back to reference Bowler DR, Owen JHG (2007) Phys Rev B 75:155310 Bowler DR, Owen JHG (2007) Phys Rev B 75:155310
107.
go back to reference Owen JHG (2009) J Phys Condens Matter 21:44301 Owen JHG (2009) J Phys Condens Matter 21:44301
108.
go back to reference Honkala K, Hellman A, Remediakis IN, Logadottir A, Carlsson A, Dahl S, Christiansen CH, Nørskov JK (2005) Science 307:555 Honkala K, Hellman A, Remediakis IN, Logadottir A, Carlsson A, Dahl S, Christiansen CH, Nørskov JK (2005) Science 307:555
109.
go back to reference Dahl S, Logadottir A, Egeberg RC, Larsen JH, Chorkendorff I, Törnqvist E, Nørskov JK (1999) Phys Rev Lett 83:1814 Dahl S, Logadottir A, Egeberg RC, Larsen JH, Chorkendorff I, Törnqvist E, Nørskov JK (1999) Phys Rev Lett 83:1814
110.
go back to reference Ciobica IM, Van Santen RA (2003) J Phys Chem B 107:3808 Ciobica IM, Van Santen RA (2003) J Phys Chem B 107:3808
111.
go back to reference Inderwildi OR, Jenkins SJ, King DA (2008) J Phys Chem C 112:1305 Inderwildi OR, Jenkins SJ, King DA (2008) J Phys Chem C 112:1305
112.
go back to reference Andersson M, Abild-Pedersen F, Remediakis I, Bligaard T, Jones G, Engæk J, Lytken O, Horch S, Nielsen J, Sehested J, Rostrup-Nielsen J, Nørskov J, Chorkendorff I (2008) J Catal 255:6 Andersson M, Abild-Pedersen F, Remediakis I, Bligaard T, Jones G, Engæk J, Lytken O, Horch S, Nielsen J, Sehested J, Rostrup-Nielsen J, Nørskov J, Chorkendorff I (2008) J Catal 255:6
113.
go back to reference Inderwildi OR, Jenkins SJ, King DA (2008) Angew Chem Int Ed 47:5253 Inderwildi OR, Jenkins SJ, King DA (2008) Angew Chem Int Ed 47:5253
114.
go back to reference Ojeda M, Nabar R, Nilekar AU, Ishikawa A, Mavrikakis M, Iglesia E (2010) J Catal 272:287 Ojeda M, Nabar R, Nilekar AU, Ishikawa A, Mavrikakis M, Iglesia E (2010) J Catal 272:287
115.
go back to reference Shetty S, Jansen PJ, van Santen RA (2009) J Am Chem Soc 131:12874 Shetty S, Jansen PJ, van Santen RA (2009) J Am Chem Soc 131:12874
116.
go back to reference Liu ZP, Hu P (2002) J Am Chem Soc 124:11568 Liu ZP, Hu P (2002) J Am Chem Soc 124:11568
117.
go back to reference Huo CF, Wu BS, Gao P, Li YYYW, Jiao H (2011) Angew Chem Int Ed 50:7403 Huo CF, Wu BS, Gao P, Li YYYW, Jiao H (2011) Angew Chem Int Ed 50:7403
118.
go back to reference Bengaard H, Nørskov J, Sehested J, Clausen B, Nielsen L, Molenbroek A, Rostrup-Nielsen J (2002) J Catal 209(2):365 Bengaard H, Nørskov J, Sehested J, Clausen B, Nielsen L, Molenbroek A, Rostrup-Nielsen J (2002) J Catal 209(2):365
119.
go back to reference Curulla-Ferre D, Govender A, Bromfield TC, Niemantsverdriet JWH (2006) J Phys Chem B 110:13897 Curulla-Ferre D, Govender A, Bromfield TC, Niemantsverdriet JWH (2006) J Phys Chem B 110:13897
120.
go back to reference Ge Q, Neurock M (2006) J Phys Chem B 110:15368 Ge Q, Neurock M (2006) J Phys Chem B 110:15368
121.
go back to reference Cheng J, Hu P, Ellis P, French S, Kelly G, Lok CM (2010) Topics Catal 53:326 Cheng J, Hu P, Ellis P, French S, Kelly G, Lok CM (2010) Topics Catal 53:326
122.
go back to reference van Santen RA, Ghouri MM, Shetty S, Hensen EMH (2011) Catal Sci Technol 1:891 van Santen RA, Ghouri MM, Shetty S, Hensen EMH (2011) Catal Sci Technol 1:891
123.
124.
125.
go back to reference Gokhale AA, Dumesic JA, Mavrikakis M (2008) J Am Chem Soc 130:1402 Gokhale AA, Dumesic JA, Mavrikakis M (2008) J Am Chem Soc 130:1402
126.
go back to reference Grabow LC, Mavrikakis M (2011) ACS Catal 1:365 Grabow LC, Mavrikakis M (2011) ACS Catal 1:365
127.
go back to reference Sanchez A, Abbet S, Heitz U, Scheider WD, Häkkinen H, Barnett RN, Landman U (1999) J Phys Chem A 103:9573 Sanchez A, Abbet S, Heitz U, Scheider WD, Häkkinen H, Barnett RN, Landman U (1999) J Phys Chem A 103:9573
128.
go back to reference Yoon B, Häkkinen H, Landman U, Wörz AS, Antonetti JM, Abbet S, Judai K, Heitz U (2005) Science 307:403 Yoon B, Häkkinen H, Landman U, Wörz AS, Antonetti JM, Abbet S, Judai K, Heitz U (2005) Science 307:403
129.
go back to reference Janssens TVW, Clausen BS, Hvolbk B, Falsig H, Christensen CH, Bligaard T, Nrskov JK (2007) Topics Catal 44:15 Janssens TVW, Clausen BS, Hvolbk B, Falsig H, Christensen CH, Bligaard T, Nrskov JK (2007) Topics Catal 44:15
130.
go back to reference Boronat M, Concepción P, Corma A (2009) J Phys Chem C 113:16772 Boronat M, Concepción P, Corma A (2009) J Phys Chem C 113:16772
131.
go back to reference Zhang C, Michaelides A, Jenkins ST (2011) Phys Chem Chem Phys 13:22 Zhang C, Michaelides A, Jenkins ST (2011) Phys Chem Chem Phys 13:22
132.
go back to reference Feibelman PJ, Hammer B, Nørskov JK, Wagner F, Scheffler M, Stumpf R, Watwe R, Dumesic J (2001) J Phys Chem B 105:4018 Feibelman PJ, Hammer B, Nørskov JK, Wagner F, Scheffler M, Stumpf R, Watwe R, Dumesic J (2001) J Phys Chem B 105:4018
133.
go back to reference Hammer B, Morikawa Y, Nørskov JK (1996) Phys Rev Lett 76:2141 Hammer B, Morikawa Y, Nørskov JK (1996) Phys Rev Lett 76:2141
134.
go back to reference Abild-Pedersen F, Greeley J, Studt F, Rossmeisl J, Munter TR, Moses PG, Skulason E, Bligaard T, Norskov JK (2007) Phys Rev Lett 99:016105 Abild-Pedersen F, Greeley J, Studt F, Rossmeisl J, Munter TR, Moses PG, Skulason E, Bligaard T, Norskov JK (2007) Phys Rev Lett 99:016105
135.
go back to reference Luengnaruemitchai A, Osuwan S, Gulari E (2003) Catal Commun 4:215 Luengnaruemitchai A, Osuwan S, Gulari E (2003) Catal Commun 4:215
136.
go back to reference Schumachera N, Boisena A, Dahl S, Gokhalec AA, Kandoic S, Grabowc L, Dumesicc J, Mavrikakis M, Chorkendorff I (2005) J Catal 229:265 Schumachera N, Boisena A, Dahl S, Gokhalec AA, Kandoic S, Grabowc L, Dumesicc J, Mavrikakis M, Chorkendorff I (2005) J Catal 229:265
137.
go back to reference Bligaard T, Nørskov JK, Dahl S, Matthiesen J, Christensen CH, Sehested J (2004) J Catal 224:206 Bligaard T, Nørskov JK, Dahl S, Matthiesen J, Christensen CH, Sehested J (2004) J Catal 224:206
138.
go back to reference Cheng J, Hu P (2008) J Am Chem Soc 130:10868 Cheng J, Hu P (2008) J Am Chem Soc 130:10868
139.
go back to reference Andersson MP, Bligaard T, Kustov A, Larsen KE, Greeley J, Johannessen T, Christensen CH, Nørskov JK (2006) J Catal 239:501 Andersson MP, Bligaard T, Kustov A, Larsen KE, Greeley J, Johannessen T, Christensen CH, Nørskov JK (2006) J Catal 239:501
140.
go back to reference Sehested J, Larsen KE, Kustov AL, Frey AM, Johannessen T, Bligaard T, Andersson MP, Nørskov JK, Christensen CH (2007) Topics Catal 45:9 Sehested J, Larsen KE, Kustov AL, Frey AM, Johannessen T, Bligaard T, Andersson MP, Nørskov JK, Christensen CH (2007) Topics Catal 45:9
141.
go back to reference Studt F, Abild-Pedersen F, Bligaard T, Sørensen RJ, Christiansen CH, Nørskov JK (2009) Science 320:1320 Studt F, Abild-Pedersen F, Bligaard T, Sørensen RJ, Christiansen CH, Nørskov JK (2009) Science 320:1320
142.
go back to reference Greeley J, Mavrikakis M (2004) Nat Mater 3:810 Greeley J, Mavrikakis M (2004) Nat Mater 3:810
143.
go back to reference Nørskov JK, Bligaard T, Rossmeisl J, Christiansen CH (2009) Nat Chem 1:37 Nørskov JK, Bligaard T, Rossmeisl J, Christiansen CH (2009) Nat Chem 1:37
144.
go back to reference Mori-Sánchez P, Cohen AJ, Yang W (2006) J Chem Phys 125:201102 Mori-Sánchez P, Cohen AJ, Yang W (2006) J Chem Phys 125:201102
145.
go back to reference Perdew JP, Ruzsinszky A, Constantin LA, Sun J, Csonka GI (2009) J Chem Theory Comput 5:902 Perdew JP, Ruzsinszky A, Constantin LA, Sun J, Csonka GI (2009) J Chem Theory Comput 5:902
146.
go back to reference Csonka GI, Perdew JP, Ruzsinszky A (2010) J Chem Theory Comput 6(12):3688 Csonka GI, Perdew JP, Ruzsinszky A (2010) J Chem Theory Comput 6(12):3688
147.
go back to reference Deng L, Branchadell V, Ziegler T (1994) J Am Chem Soc 116:10645 Deng L, Branchadell V, Ziegler T (1994) J Am Chem Soc 116:10645
148.
go back to reference Andersson S, Grüning M (2004) J Phys Chem A 108:7621 Andersson S, Grüning M (2004) J Phys Chem A 108:7621
149.
go back to reference Riley KE, Op’t Holt BT, Merz KE Jr (2007) J Chem Theory Comput 3:407 Riley KE, Op’t Holt BT, Merz KE Jr (2007) J Chem Theory Comput 3:407
150.
go back to reference Zheng J, Zhao Y, Truhlar DG (2009) J Chem Theory Comput 5:808 Zheng J, Zhao Y, Truhlar DG (2009) J Chem Theory Comput 5:808
151.
go back to reference Yang K, Zheng J, Zhao Y, Truhlar DG (2010) J Chem Phys 132:164117 Yang K, Zheng J, Zhao Y, Truhlar DG (2010) J Chem Phys 132:164117
152.
go back to reference Henderson TM, Izmaylov AF, Scuseria GE, Savin A (2008) J Chem Theory Comput 4:1254 Henderson TM, Izmaylov AF, Scuseria GE, Savin A (2008) J Chem Theory Comput 4:1254
153.
go back to reference Janesko BG, Scuseria GE (2008) J Chem Phys 129:124110 Janesko BG, Scuseria GE (2008) J Chem Phys 129:124110
154.
go back to reference Mangiatordi GF, Brémond E, Adamo C (2012) J Chem Theory Comput 8:3082 Mangiatordi GF, Brémond E, Adamo C (2012) J Chem Theory Comput 8:3082
155.
go back to reference Nachtigall P, Jordan KD, Smith A, Jónsson H (1996) J Chem Phys 104:148 Nachtigall P, Jordan KD, Smith A, Jónsson H (1996) J Chem Phys 104:148
156.
go back to reference Dürr M, Raschke MB, Pehlke E, Höfer U (2001) Phys Rev Lett 86:123 Dürr M, Raschke MB, Pehlke E, Höfer U (2001) Phys Rev Lett 86:123
157.
go back to reference de Jong GT, Bickelhaupt FM (2005) J Phys Chem A 109:9685 de Jong GT, Bickelhaupt FM (2005) J Phys Chem A 109:9685
158.
go back to reference de Jong GT, Geerke DP, Diefenbach A, Bickelhaupt FM (2005) Chem Phys 313:261 de Jong GT, Geerke DP, Diefenbach A, Bickelhaupt FM (2005) Chem Phys 313:261
159.
go back to reference de Jong GT, Geerke DP, Diffenbach A, Solá M, Bickelhaupt FM (2005) J Comput Chem 26:1007 de Jong GT, Geerke DP, Diffenbach A, Solá M, Bickelhaupt FM (2005) J Comput Chem 26:1007
160.
go back to reference Moncho S, Brothers EN, Janesko BG (2013) J Phys Chem C 117:7487 Moncho S, Brothers EN, Janesko BG (2013) J Phys Chem C 117:7487
161.
go back to reference Livshits E, Baer R, Kosloff R (2009) J Phys Chem A 113:7521 Livshits E, Baer R, Kosloff R (2009) J Phys Chem A 113:7521
162.
go back to reference Behler J, Delley B, Lorenz S, Reuter K, Scheffler M (2005) Phys Rev Lett 94:036104 Behler J, Delley B, Lorenz S, Reuter K, Scheffler M (2005) Phys Rev Lett 94:036104
163.
go back to reference Liu HR, Xiang H, Gong XG (2011) J Chem Phys 135:214702 Liu HR, Xiang H, Gong XG (2011) J Chem Phys 135:214702
164.
go back to reference Lousada CM, Johansson AJ, Brinck T, Jonsson M (2013) Phys Chem Chem Phys 15:5539 Lousada CM, Johansson AJ, Brinck T, Jonsson M (2013) Phys Chem Chem Phys 15:5539
165.
go back to reference Sniatynsky R, Janesko BG, El-Mellouhi F, Brothers EN (2012) J Phys Chem C 116:26396 Sniatynsky R, Janesko BG, El-Mellouhi F, Brothers EN (2012) J Phys Chem C 116:26396
166.
go back to reference Hossain MZ, Yamashita Y, Mukai K, Yoshinobu J (2003) Phys Rev B 68:235322 Hossain MZ, Yamashita Y, Mukai K, Yoshinobu J (2003) Phys Rev B 68:235322
167.
go back to reference Smedarchina ZK, Zgierski MZ (2003) Int J Mol Sci 4:445 Smedarchina ZK, Zgierski MZ (2003) Int J Mol Sci 4:445
168.
go back to reference Uthaisar C, Barone V (2010) Nano Lett 10:2838 Uthaisar C, Barone V (2010) Nano Lett 10:2838
169.
go back to reference Barone V, Brothers EN, Janesko BG (2013) J Chem Theory Comput 9:4853 Barone V, Brothers EN, Janesko BG (2013) J Chem Theory Comput 9:4853
170.
go back to reference Lopez N, Illas F, Rösch N, Pacchioni G (1999) J Chem Phys 110:4873 Lopez N, Illas F, Rösch N, Pacchioni G (1999) J Chem Phys 110:4873
171.
go back to reference Di Valentin C, Pacchioni G, Selloni A (2006) Phys Rev Lett 97:166803 Di Valentin C, Pacchioni G, Selloni A (2006) Phys Rev Lett 97:166803
172.
go back to reference Pan Y, Nilius N, Freund HJ, Paier J, Penschke C, Sauer J (2013) Phys Rev Lett 111:206101 Pan Y, Nilius N, Freund HJ, Paier J, Penschke C, Sauer J (2013) Phys Rev Lett 111:206101
173.
174.
go back to reference Wellendorff J, Lundgaard KT, Møgelhøj A, Petzold V, Landis DD, Nørskov JK, Bligaard T, Jacobsen KW (2012) Phys Rev B 85:235149 Wellendorff J, Lundgaard KT, Møgelhøj A, Petzold V, Landis DD, Nørskov JK, Bligaard T, Jacobsen KW (2012) Phys Rev B 85:235149
175.
go back to reference Rajasekaran S, Abild-Pedersen F, Ogasawara H, Nilsson A, Kaya S (2013) Phys Rev Lett 111:085503 Rajasekaran S, Abild-Pedersen F, Ogasawara H, Nilsson A, Kaya S (2013) Phys Rev Lett 111:085503
176.
go back to reference Brogaard RY, Weckhuysen BM, Nørskov JK (2013) J Catal 300:235 Brogaard RY, Weckhuysen BM, Nørskov JK (2013) J Catal 300:235
177.
go back to reference Studt F, Abild-Pedersen F, Varley JB, Nørskov JK (2013) Catal Lett 143:71 Studt F, Abild-Pedersen F, Varley JB, Nørskov JK (2013) Catal Lett 143:71
178.
go back to reference Peverati R, Zhao Y, Truhlar DG (2011) J Phys Chem Lett 2:1991 Peverati R, Zhao Y, Truhlar DG (2011) J Phys Chem Lett 2:1991
179.
go back to reference Perverati R, Truhlar DG (2012) J Chem Theory Comput 8:2310 Perverati R, Truhlar DG (2012) J Chem Theory Comput 8:2310
180.
go back to reference Perverati R, Truhlar DG (2012) Phys Chem Chem Phys 14:13171 Perverati R, Truhlar DG (2012) Phys Chem Chem Phys 14:13171
181.
go back to reference Díaz C, Pijper E, Olsen RA, Busnengo HF, Auerbach DJ, Kroes GJ (2009) Science 326:832 Díaz C, Pijper E, Olsen RA, Busnengo HF, Auerbach DJ, Kroes GJ (2009) Science 326:832
182.
go back to reference Kroes GJ (2012) Phys Chem Chem Phys 14:14966 Kroes GJ (2012) Phys Chem Chem Phys 14:14966
183.
go back to reference Chuang YY, Radhakrishnan ML, Fast PL, Cramer CJ, Truhlar DG (1999) J Phys Chem A 103:4893 Chuang YY, Radhakrishnan ML, Fast PL, Cramer CJ, Truhlar DG (1999) J Phys Chem A 103:4893
184.
185.
go back to reference Kim MC, Sim E, Burke K (2013) Phys Rev Lett 111:073003 Kim MC, Sim E, Burke K (2013) Phys Rev Lett 111:073003
186.
go back to reference Vydrov OA, Scuseria GE, Perdew JP, Ruzsinszky A, Csonka GI (2006) J Chem Phys 124:094108 Vydrov OA, Scuseria GE, Perdew JP, Ruzsinszky A, Csonka GI (2006) J Chem Phys 124:094108
187.
go back to reference Wu Q, Kaduk B, van Voorhis T (2008) J Chem Phys 130:034109 Wu Q, Kaduk B, van Voorhis T (2008) J Chem Phys 130:034109
188.
189.
go back to reference Perdew JP, Staroverov VN, Tao J, Scuseria GE (2008) Phys Rev A 78:052513 Perdew JP, Staroverov VN, Tao J, Scuseria GE (2008) Phys Rev A 78:052513
190.
go back to reference Yang W, Zhang Y, Ayers PW (2000) Phys Rev Lett 84:5172 Yang W, Zhang Y, Ayers PW (2000) Phys Rev Lett 84:5172
191.
go back to reference Zhang Y, Yang W (1998) J Chem Phys 109(7):2604 Zhang Y, Yang W (1998) J Chem Phys 109(7):2604
192.
go back to reference Ruzsinszky A, Perdew JP, Csonka GI, Vydrov OA, Scuseria GE (2006) J Chem Phys 125:194112 Ruzsinszky A, Perdew JP, Csonka GI, Vydrov OA, Scuseria GE (2006) J Chem Phys 125:194112
193.
go back to reference Mori-Sánchez P, Cohen AJ, Yang W (2008) Phys Rev Lett 100:146401 Mori-Sánchez P, Cohen AJ, Yang W (2008) Phys Rev Lett 100:146401
194.
go back to reference Burke K, Perdew JP, Ernzerhof M (1998) J Chem Phys 109:3760 Burke K, Perdew JP, Ernzerhof M (1998) J Chem Phys 109:3760
195.
go back to reference Garza AJ, Jimenez-Hoyos CA, Scuseria GE (2013) J Chem Phys 138:134102 Garza AJ, Jimenez-Hoyos CA, Scuseria GE (2013) J Chem Phys 138:134102
196.
go back to reference Seidl A, Görling A, Vogl P, Majewski JA, Levy M (1996) Phys Rev B 53:3764 Seidl A, Görling A, Vogl P, Majewski JA, Levy M (1996) Phys Rev B 53:3764
197.
go back to reference Cohen AJ, Mori-Sánchez P, Yang W (2008) Phys Rev B 77:115123 Cohen AJ, Mori-Sánchez P, Yang W (2008) Phys Rev B 77:115123
198.
go back to reference Yang W, Cohen AJ, Mori-Sánchez P (2012) J Chem Phys 136:204111 Yang W, Cohen AJ, Mori-Sánchez P (2012) J Chem Phys 136:204111
199.
200.
go back to reference Krieger JB, Li Y, Iafrate GJ (1992) Phys Rev A 45:101 Krieger JB, Li Y, Iafrate GJ (1992) Phys Rev A 45:101
201.
go back to reference Ivanov S, Hirata S, Bartlett RJ (1999) Phys Rev Lett 83:5455 Ivanov S, Hirata S, Bartlett RJ (1999) Phys Rev Lett 83:5455
202.
go back to reference Staroverov VN, Scuseria GE, Davidson ER (2006) J Chem Phys 124:114103 Staroverov VN, Scuseria GE, Davidson ER (2006) J Chem Phys 124:114103
203.
204.
go back to reference Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem 98(45):11623 Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem 98(45):11623
205.
go back to reference Lynch BJ, Fast PL, Harris M, Truhlar DG (2000) J Phys Chem A 104(21):4811 Lynch BJ, Fast PL, Harris M, Truhlar DG (2000) J Phys Chem A 104(21):4811
206.
go back to reference Stoll H, Savin A (1985) In: Dreizler R, da Providencia J (eds) Density functional methods in physics. Plenum, New York, p 177 Stoll H, Savin A (1985) In: Dreizler R, da Providencia J (eds) Density functional methods in physics. Plenum, New York, p 177
207.
go back to reference Savin A (1996) In: Seminario JM (ed) Recent developments and applications of modern density functional theory. Elsevier, Amsterdam, p 327 Savin A (1996) In: Seminario JM (ed) Recent developments and applications of modern density functional theory. Elsevier, Amsterdam, p 327
208.
go back to reference Leininger T, Stoll H, Werner HJ, Savin A (1997) Chem Phys Lett 275:151 Leininger T, Stoll H, Werner HJ, Savin A (1997) Chem Phys Lett 275:151
209.
go back to reference Furche F, Perdew JP (2006) J Chem Phys 124:044103 Furche F, Perdew JP (2006) J Chem Phys 124:044103
210.
go back to reference Schultz NE, Zhao Y, Truhlar DG (2005) J Phys Chem A 109:11127 Schultz NE, Zhao Y, Truhlar DG (2005) J Phys Chem A 109:11127
211.
212.
go back to reference Anisimov VI, Zaanen J, Andersen OK (1991) Phys Rev B 44:943 Anisimov VI, Zaanen J, Andersen OK (1991) Phys Rev B 44:943
213.
go back to reference Loschen C, Carrasco J, Neyman KM, Illas F (2007) Phys Rev B 75(3):035115 Loschen C, Carrasco J, Neyman KM, Illas F (2007) Phys Rev B 75(3):035115
214.
go back to reference Baer R, Neuhauser D (2005) Phys Rev Lett 94:043002 Baer R, Neuhauser D (2005) Phys Rev Lett 94:043002
215.
go back to reference Livshits E, Baer R (2007) Phys Chem Chem Phys 9:2932 Livshits E, Baer R (2007) Phys Chem Chem Phys 9:2932
216.
go back to reference Stein T, Kronik L, Baer R (2009) J Am Chem Soc 131:2818 Stein T, Kronik L, Baer R (2009) J Am Chem Soc 131:2818
217.
go back to reference Odashima MM, Capelle K (2009) Phys Rev A 79:062515 Odashima MM, Capelle K (2009) Phys Rev A 79:062515
218.
go back to reference Marques MAL, Vidal J, Oliveria MJT, Reining L, Botti S (2011) Phys Rev B 83:035119 Marques MAL, Vidal J, Oliveria MJT, Reining L, Botti S (2011) Phys Rev B 83:035119
219.
go back to reference Stein T, Eisenberg H, Kronik L, Baer R (2010) Phys Rev Lett 105:266802 Stein T, Eisenberg H, Kronik L, Baer R (2010) Phys Rev Lett 105:266802
220.
go back to reference Jaramillo J, Scuseria GE, Ernzerhof M (2003) J Chem Phys 118(3):1068 Jaramillo J, Scuseria GE, Ernzerhof M (2003) J Chem Phys 118(3):1068
221.
go back to reference Arbuznikov AV, Kaupp M (2011) Int J Quant Chem 111:2625 Arbuznikov AV, Kaupp M (2011) Int J Quant Chem 111:2625
222.
go back to reference Haunschild R, Odashima MM, Scuseria GE, Perdew JP, Capelle K (2012) J Chem Phys 136:184102 Haunschild R, Odashima MM, Scuseria GE, Perdew JP, Capelle K (2012) J Chem Phys 136:184102
223.
224.
225.
go back to reference Arbuznikov AV, Kaupp M (2012) J Chem Phys 136:014111 Arbuznikov AV, Kaupp M (2012) J Chem Phys 136:014111
226.
go back to reference Paier J, Marsman M, Hummer K, Kresse G, Gerber IC, Ángyán JA (2006) J Chem Phys 124:154709 Paier J, Marsman M, Hummer K, Kresse G, Gerber IC, Ángyán JA (2006) J Chem Phys 124:154709
227.
go back to reference Gygi F, Baldereschi A (1986) Phys Rev B 34:4405 Gygi F, Baldereschi A (1986) Phys Rev B 34:4405
228.
go back to reference Broqvist P, Alkauskas A, Pasquarello A (2009) Phys Rev B 80:085114 Broqvist P, Alkauskas A, Pasquarello A (2009) Phys Rev B 80:085114
229.
go back to reference Zecca L, Gori-Giorgi P, Moroni S, Bachelet GB (2004) Phys Rev B 70:205127 Zecca L, Gori-Giorgi P, Moroni S, Bachelet GB (2004) Phys Rev B 70:205127
230.
231.
go back to reference Stroppa A, Termentzidis K, Paier J, Kresse G, Hafner J (2007) Phys Rev B 76:195440 Stroppa A, Termentzidis K, Paier J, Kresse G, Hafner J (2007) Phys Rev B 76:195440
232.
go back to reference Gil A, Clotet A, Ricart JM, Kresse G, Garciá-Hernández M, Rösch N, Sautet P (2003) Surf Sci 530:71 Gil A, Clotet A, Ricart JM, Kresse G, Garciá-Hernández M, Rösch N, Sautet P (2003) Surf Sci 530:71
233.
234.
go back to reference Bylander DM, Kleinman L (1990) Phys Rev B 41:7868 Bylander DM, Kleinman L (1990) Phys Rev B 41:7868
235.
go back to reference Heyd J, Scuseria GE, Ernzerhof M (2003) J Chem Phys 118(18):8207, 124:219906 (2006) Heyd J, Scuseria GE, Ernzerhof M (2003) J Chem Phys 118(18):8207, 124:219906 (2006)
236.
go back to reference Toulouse J, Colonna F, Savin A (2004) Phys Rev A 70:062505 Toulouse J, Colonna F, Savin A (2004) Phys Rev A 70:062505
237.
go back to reference Barone V, Hod O, Peralta JE, Scuseria GE (2011) Acc Chem Res 44:269 Barone V, Hod O, Peralta JE, Scuseria GE (2011) Acc Chem Res 44:269
238.
go back to reference Krukau AV, Vydrov OA, Izmaylov AF, Scuseria GE (2006) J Chem Phys 125:224106 Krukau AV, Vydrov OA, Izmaylov AF, Scuseria GE (2006) J Chem Phys 125:224106
239.
go back to reference Henderson TM, Izmaylov AF, Scalmani G, Scuseria GE (2009) J Chem Phys 131:044108 Henderson TM, Izmaylov AF, Scalmani G, Scuseria GE (2009) J Chem Phys 131:044108
240.
go back to reference Ernzerhof M, Perdew JP (1998) J Chem Phys 109(9):3313 Ernzerhof M, Perdew JP (1998) J Chem Phys 109(9):3313
241.
go back to reference Henderson TM, Janesko BG, Scuseria GE (2008) J Chem Phys 128:194105 Henderson TM, Janesko BG, Scuseria GE (2008) J Chem Phys 128:194105
242.
go back to reference Heyd J, Scuseria GE (2004) J Chem Phys 120:7274 Heyd J, Scuseria GE (2004) J Chem Phys 120:7274
243.
go back to reference Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G, Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP, Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JA Jr, Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Keith T, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam JM, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S, Daniels AD, Farkas O, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2010) Gaussian 09, Revision B.01. Gaussian Inc., Wallingford Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G, Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP, Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JA Jr, Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Keith T, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam JM, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S, Daniels AD, Farkas O, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2010) Gaussian 09, Revision B.01. Gaussian Inc., Wallingford
244.
go back to reference Kresse G, Furthmüller J (1996) Phys Rev B 54:11169 Kresse G, Furthmüller J (1996) Phys Rev B 54:11169
245.
go back to reference Marsman M, Paier J, Stroppa A, Kresse G (2008) J Phys Condens Matter 20:064201 Marsman M, Paier J, Stroppa A, Kresse G (2008) J Phys Condens Matter 20:064201
246.
go back to reference Janesko BG, Henderson TM, Scuseria GE (2009) Phys Chem Chem Phys 11:443 Janesko BG, Henderson TM, Scuseria GE (2009) Phys Chem Chem Phys 11:443
247.
go back to reference Henderson TM, Janesko BG, Scuseria GE (2008) J Phys Chem A 112:12530 Henderson TM, Janesko BG, Scuseria GE (2008) J Phys Chem A 112:12530
248.
go back to reference Perdew JP, Ernzerhof M, Burke K (1996) J Chem Phys 105(22):9982 Perdew JP, Ernzerhof M, Burke K (1996) J Chem Phys 105(22):9982
249.
go back to reference Moussa JA, Schultz PA, Chelikowsky JR (2012) J Chem Phys 136:204117 Moussa JA, Schultz PA, Chelikowsky JR (2012) J Chem Phys 136:204117
250.
go back to reference Heyd J, Peralta JE, Scuseria GE, Martin RL (2005) J Chem Phys 123:174101 Heyd J, Peralta JE, Scuseria GE, Martin RL (2005) J Chem Phys 123:174101
251.
252.
go back to reference Iikura H, Tsuneda T, Yanai T, Hirao K (2001) J Chem Phys 115:3540 Iikura H, Tsuneda T, Yanai T, Hirao K (2001) J Chem Phys 115:3540
253.
go back to reference Krukau AV, Scuseria GE, Perdew JP, Savin A (2008) J Chem Phys 129:124103 Krukau AV, Scuseria GE, Perdew JP, Savin A (2008) J Chem Phys 129:124103
254.
go back to reference Shimka L, Harl J, Kresse G (2011) J Chem Phys 134:024116 Shimka L, Harl J, Kresse G (2011) J Chem Phys 134:024116
255.
go back to reference Yousaf KE, Brothers EN (2010) J Chem Theory Comput 6:864 Yousaf KE, Brothers EN (2010) J Chem Theory Comput 6:864
256.
go back to reference Song JW, Yamashita K, Hirao K (2011) J Chem Phys 135:071103 Song JW, Yamashita K, Hirao K (2011) J Chem Phys 135:071103
257.
go back to reference Perverati R, Truhlar DG (2012) Phys Chem Chem Phys 14:16187 Perverati R, Truhlar DG (2012) Phys Chem Chem Phys 14:16187
258.
go back to reference Henderson TM, Izmaylov AF, Scuseria GE, Savin A (2007) J Chem Phys 127:221103 Henderson TM, Izmaylov AF, Scuseria GE, Savin A (2007) J Chem Phys 127:221103
259.
go back to reference Lucero MJ, Henderson T, Scuseria GE (2012) J Phys Condens Matter 24:145504 Lucero MJ, Henderson T, Scuseria GE (2012) J Phys Condens Matter 24:145504
260.
go back to reference Constantin LA, Perdew JP (2006) Phys Rev B 75:155109 Constantin LA, Perdew JP (2006) Phys Rev B 75:155109
261.
go back to reference Staroverov VN, Scuseria GE, Tao J, Perdew JP (2003) J Chem Phys 119(23):12129 Staroverov VN, Scuseria GE, Tao J, Perdew JP (2003) J Chem Phys 119(23):12129
262.
go back to reference Perdew JP, Kurth S, Zupan A, Blaha P (1999) Phys Rev Lett 82:2544, 82:5179 (1999) Perdew JP, Kurth S, Zupan A, Blaha P (1999) Phys Rev Lett 82:2544, 82:5179 (1999)
263.
go back to reference Tao J, Perdew JP, Staroverov VN, Scuseria GE (2003) Phys Rev Lett 91:146401 Tao J, Perdew JP, Staroverov VN, Scuseria GE (2003) Phys Rev Lett 91:146401
264.
go back to reference Almeida LM, Perdew JP, Fiolhais C (2002) Phys Rev B 66:075115 Almeida LM, Perdew JP, Fiolhais C (2002) Phys Rev B 66:075115
265.
go back to reference Van Voorhis T, Scuseria GE (1998) J Chem Phys 109(2):400 Van Voorhis T, Scuseria GE (1998) J Chem Phys 109(2):400
266.
go back to reference Kanai Y, Wang X, Selloni A, Car R (2006) J Chem Phys 125:234104 Kanai Y, Wang X, Selloni A, Car R (2006) J Chem Phys 125:234104
267.
go back to reference Perdew JP, Ruzsinszky A, Constantin LA, Csonka GI, Sun J (2009) Phys Rev Lett 103:026403 Perdew JP, Ruzsinszky A, Constantin LA, Csonka GI, Sun J (2009) Phys Rev Lett 103:026403
268.
go back to reference Zhao Y, Truhlar DG (2006) J Chem Phys 125:194101 Zhao Y, Truhlar DG (2006) J Chem Phys 125:194101
269.
go back to reference Zhao Y, Truhlar DG (2008) Theor Chem Acc 120:215 Zhao Y, Truhlar DG (2008) Theor Chem Acc 120:215
270.
go back to reference Madsen GKH, Ferrighi L, Hammer B (2010) J Phys Chem Lett 1:515 Madsen GKH, Ferrighi L, Hammer B (2010) J Phys Chem Lett 1:515
271.
go back to reference Sun J, Xiao B, Ruzsinszky A (2012) J Chem Phys 137:051110 Sun J, Xiao B, Ruzsinszky A (2012) J Chem Phys 137:051110
272.
go back to reference Sun J, Haunschild R, Xiao B, Bulik I, Scuseria GE, Perdew JP (2013) J Chem Phys 138:044113 Sun J, Haunschild R, Xiao B, Bulik I, Scuseria GE, Perdew JP (2013) J Chem Phys 138:044113
273.
go back to reference Sun J, Xiao B, Fang Y, Haunschild R, Hao P, Ruzsinszky A, Csonka GI, Scuseria GE, Perdew JP (2013) Phys Rev Lett 111:106401 Sun J, Xiao B, Fang Y, Haunschild R, Hao P, Ruzsinszky A, Csonka GI, Scuseria GE, Perdew JP (2013) Phys Rev Lett 111:106401
274.
go back to reference Peverati R, Truhlar DG (2012) J Phys Chem Lett 3:117 Peverati R, Truhlar DG (2012) J Phys Chem Lett 3:117
275.
go back to reference Wheeler SE, Houk KN (2010) J Chem Theory Comput 6:395 Wheeler SE, Houk KN (2010) J Chem Theory Comput 6:395
276.
go back to reference Ferrighi L, Madsen GKH, Hammer B (2011) J Chem Phys 135:084704 Ferrighi L, Madsen GKH, Hammer B (2011) J Chem Phys 135:084704
277.
go back to reference Andersen M, Hornekær L, Hammer B (2012) Phys Rev B 86:085405 Andersen M, Hornekær L, Hammer B (2012) Phys Rev B 86:085405
278.
go back to reference Marom N, Tkatchenko A, Rossi M, Gobre VV, Hod O, Scheffler M, Kronik L (2011) J Chem Theory Comput 7(12):3944 Marom N, Tkatchenko A, Rossi M, Gobre VV, Hod O, Scheffler M, Kronik L (2011) J Chem Theory Comput 7(12):3944
279.
go back to reference Balog R, Andersen M, Jrgensen B, Sljivancanin Z, Hammer B, Baraldi A, Larciprete R, Hofmann P, Hornekr L, Lizzit S (2013) ACS Nano 7:3823 Balog R, Andersen M, Jrgensen B, Sljivancanin Z, Hammer B, Baraldi A, Larciprete R, Hofmann P, Hornekr L, Lizzit S (2013) ACS Nano 7:3823
280.
go back to reference Grns E, Andersen M, Arman MA, Gerber T, Hammer B, Schnadt J, Andersen JN, Michely T, Knudsen J (2013) J Phys Chem C 117(32):16438 Grns E, Andersen M, Arman MA, Gerber T, Hammer B, Schnadt J, Andersen JN, Michely T, Knudsen J (2013) J Phys Chem C 117(32):16438
281.
go back to reference Zhu M, Aikens CM, Hollander FJ, Schatz GC, Jin R (2008) J Am Chem Soc 130(18):5883 Zhu M, Aikens CM, Hollander FJ, Schatz GC, Jin R (2008) J Am Chem Soc 130(18):5883
282.
go back to reference Ferrighi L, Pan YX, Grönbek H, Hammer B (2012) J Phys Chem C 116:7374 Ferrighi L, Pan YX, Grönbek H, Hammer B (2012) J Phys Chem C 116:7374
283.
go back to reference Luo S, Zhao Y, Truhlar DG (2012) J Phys Chem Lett 3:2975 Luo S, Zhao Y, Truhlar DG (2012) J Phys Chem Lett 3:2975
284.
go back to reference Sun J, Marsman M, Ruzsinszky A, Kresse G, Perdew JP (2011) Phys Rev B 83:121410 Sun J, Marsman M, Ruzsinszky A, Kresse G, Perdew JP (2011) Phys Rev B 83:121410
285.
go back to reference Batista ER, Heyd J, Hennig RG, Uberuaga BP, Martin RL, Scuseria GE, Umrigar CJ, Wilkins JW (2006) Phys Rev B 74:121102(R) Batista ER, Heyd J, Hennig RG, Uberuaga BP, Martin RL, Scuseria GE, Umrigar CJ, Wilkins JW (2006) Phys Rev B 74:121102(R)
286.
go back to reference El-Mellouhi F, Brothers EN, Lucero MJ, Scuseria GE (2013) J Phys Condens Matter 25:135501 El-Mellouhi F, Brothers EN, Lucero MJ, Scuseria GE (2013) J Phys Condens Matter 25:135501
287.
go back to reference Paier J, Penschke C, Sauer J (2013) Chem Rev 113:3949 Paier J, Penschke C, Sauer J (2013) Chem Rev 113:3949
288.
go back to reference Penschke C, Paier J, Sauer J (2013) J Phys Chem C 117:5274 Penschke C, Paier J, Sauer J (2013) J Phys Chem C 117:5274
289.
go back to reference Papageorgiou AC, Beglitis NS, Pang CL, Teobaldi G, Cabailh G, Chen Q, Fisher AJ, Hofer WA, Thornton G (2010) Proc Natl Acad Sci 107(6):2391 Papageorgiou AC, Beglitis NS, Pang CL, Teobaldi G, Cabailh G, Chen Q, Fisher AJ, Hofer WA, Thornton G (2010) Proc Natl Acad Sci 107(6):2391
290.
go back to reference Teobaldi G, Tanimura K, Shluger AL (2010) Phys Rev B 82:174104 Teobaldi G, Tanimura K, Shluger AL (2010) Phys Rev B 82:174104
291.
292.
go back to reference Vilhelmsen LB, Walton KS, Sholl DS (2012) J Am Chem Soc 134:12807 Vilhelmsen LB, Walton KS, Sholl DS (2012) J Am Chem Soc 134:12807
293.
go back to reference Yadnum S, Choomwattana S, Khongpracha P, Sirijaraensre J, Limtrakul J (2013) ChemPhysChem 14:923 Yadnum S, Choomwattana S, Khongpracha P, Sirijaraensre J, Limtrakul J (2013) ChemPhysChem 14:923
294.
go back to reference Valero R, Gomes JRB, Truhlar DG, Illas F (2008) J Chem Phys 129:124710 Valero R, Gomes JRB, Truhlar DG, Illas F (2008) J Chem Phys 129:124710
295.
go back to reference Valero R, Gomes JRB, Truhlar DG, Illas F (2010) J Chem Phys 132:104701 Valero R, Gomes JRB, Truhlar DG, Illas F (2010) J Chem Phys 132:104701
296.
go back to reference Paier J, Marsman M, Kresse G (2007) J Chem Phys 127:024103 Paier J, Marsman M, Kresse G (2007) J Chem Phys 127:024103
297.
go back to reference Lynch BJ, Truhlar DG (2003) J Phys Chem A 107:8996, 108:1460(E) (2004) Lynch BJ, Truhlar DG (2003) J Phys Chem A 107:8996, 108:1460(E) (2004)
298.
go back to reference Bealing CR, Ranprasad R (2013) J Chem Phys 139:174904 Bealing CR, Ranprasad R (2013) J Chem Phys 139:174904
299.
go back to reference Fu Q, Saltzburg H, Flytzani-Stephanopoulos M (2003) Science 301:935 Fu Q, Saltzburg H, Flytzani-Stephanopoulos M (2003) Science 301:935
300.
go back to reference Lu W, Filimonov SN, Carrasco J, Tkatchenko A (2013) Nat Commun 4:2569 Lu W, Filimonov SN, Carrasco J, Tkatchenko A (2013) Nat Commun 4:2569
301.
go back to reference Civarelli B, Zicovich-Wilson CM, Valenzaon L, Ugliengo P (2008) Cryst Eng Comm 10:405 Civarelli B, Zicovich-Wilson CM, Valenzaon L, Ugliengo P (2008) Cryst Eng Comm 10:405
302.
go back to reference Zicovich-Wilson CM, Kirtman B, Civalleri B, Ramírez-Solís A (2010) Phys Chem Chem Phys 12:3289 Zicovich-Wilson CM, Kirtman B, Civalleri B, Ramírez-Solís A (2010) Phys Chem Chem Phys 12:3289
303.
go back to reference Civarelli B, Maschio L, Ugliengo P, Zicovich-Wilson CM (2010) Phys Chem Chem Phys 12:6382 Civarelli B, Maschio L, Ugliengo P, Zicovich-Wilson CM (2010) Phys Chem Chem Phys 12:6382
304.
go back to reference Leverentz HR, Qi HW, Truhlar DG (2013) J Chem Theory Comput 9(2):995 Leverentz HR, Qi HW, Truhlar DG (2013) J Chem Theory Comput 9(2):995
305.
go back to reference Aguero A, Janesko BG (2012) J Chem Phys 136:024111 Aguero A, Janesko BG (2012) J Chem Phys 136:024111
306.
Metadata
Title
Density Functional Theory Beyond the Generalized Gradient Approximation for Surface Chemistry
Author
Benjamin G. Janesko
Copyright Year
2015
DOI
https://doi.org/10.1007/128_2014_555

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