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The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals

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Zhao, Yan, Truhlar, Donald G.·2008·Theoretical Chemistry Accounts

Abstract

We present two new hybrid meta exchange- correlation functionals, called M06 and M06-2X. The M06 functional is parametrized including both transition metals and nonmetals, whereas the M06-2X functional is a high-nonlocality functional with double the amount of nonlocal exchange (2X), and it is parametrized only for nonmetals.The functionals, along with the previously published M06-L local functional and the M06-HF full-Hartree–Fock functionals, constitute the M06 suite of complementary functionals. We assess these four functionals by comparing their performance to that of 12 other functionals and Hartree–Fock theory for 403 energetic data in 29 diverse databases, including ten databases for thermochemistry, four databases for kinetics, eight databases for noncovalent interactions, three databases for transition metal bonding, one database for metal atom excitation energies, and three databases for molecular excitation energies. We also illustrate the performance of these 17 methods for three databases containing 40 bond lengths and for databases containing 38 vibrational frequencies and 15 vibrational zero point energies. We recommend the M06-2X functional for applications involving main-group thermochemistry, kinetics, noncovalent interactions, and electronic excitation energies to valence and Rydberg states. We recommend the M06 functional for application in organometallic and inorganometallic chemistry and for noncovalent interactions.

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Research works printed but not linked: 142

  1. Boese AD and Handy NC (2002). J Chem Phys 116: 9559 · DOI · Paper page
  2. Tao J, Perdew JP, Staroverov VN and Scuseria GE (2003). Phys Rev Lett 91: 146401 · DOI
  3. Staroverov VN, Scuseria GE, Tao J and Perdew JP (2003). J Chem Phys 119: 12129 · DOI
  4. Zhao Y, Lynch BJ and Truhlar DG (2004). J Phys Chem A 108: 2715 · DOI
  5. Boese AD and Martin JML (2004). J Chem Phys 121: 3405 · DOI · Paper page
  6. Zhao Y and Truhlar DG (2004). J Phys Chem A 108: 6908 · DOI
  7. Xu X and Goddard WA (2004). Proc Natl Acad Sci USA 101: 2673 · DOI
  8. Zhao Y, Lynch BJ and Truhlar DG (2005). Phys Chem Chem Phys 7: 43 · DOI
  9. Perdew JP, Ruzsinszky A, Tao J, Staroverov VN, Scuseria GE and Csonka GI (2005). J Chem Phys 123: 62201 · DOI · Paper page
  10. Zhao Y and Truhlar DG (2005). J Phys Chem A 109: 5656 · DOI
  11. Keal TW and Tozer DJ (2005). J Chem Phys 123: 121103 · DOI
  12. Zhao Y, Schultz NE and Truhlar DG (2005). J Chem Phys 123: 161103 · DOI · Paper page
  13. Becke AD (2005). J Chem Phys 122: 64101 · DOI
  14. Zhao Y, Schultz NE and Truhlar DG (2006). J Chem Theory Comput 2: 364 · DOI
  15. Mori-Sanchez P, Cohen AJ and Yang W (2006). J Chem Phys 124: 91102 · DOI
  16. Zhao Y and Truhlar DG (2006). J Chem Phys 125: 194101 · DOI
  17. Grimme S (2006). J Chem Phys 124: 034108 · DOI · Paper page
  18. Grimme S (2006). J Comp Chem 27: 1787 · DOI · Paper page
  19. Zhao Y and Truhlar DG (2006). J Phys Chem A 110: 13126 · DOI · Paper page
  20. Scuseria GE, Staroverov VN (2005). In: Dykstra CE, Frenking G, Kim KS, Scuseria GE (eds) Theory and application of computational chemistry: the first 40 years. Elsevier, Amsterdam, pp 669–724
  21. Voorhis TV and Scuseria GE (1998). J Chem Phys 109: 400 · DOI
  22. Becke AD (1998). J Chem Phys 109: 2092 · DOI · Paper page
  23. Baerends EJ, Ellis DE and Ros P (1973). Chem Phys 2: 41 · DOI
  24. Dunlap BI, Connolly JWD and Sabin JR (1979). J Chem Phys 71: 3396 · DOI
  25. Vahtras O, Almlöf J and Feyereisen MW (1993). Chem Phys Lett 213: 514 · DOI
  26. Kendall RA, Apra E, Bernholdt DE, Bylaska EJ, Dupuis M, Fann GI, Harrison RJ, Ju J, Nichols JA, Nieplocha J, Straatsma TP, Windus TL and Wong AT (2000). Comput Phys Commun 128: 260 · DOI
  27. Te Velde G, Bickelhaupt FM, Baerends EJ, Fonseca Guerra C, Van Gisbergen SJA, Snijders JG and Ziegler T (2001). J Comp Chem 22: 931 · DOI · Paper page
  28. VandeVondele J, Krack M, Mohamed F, Parrinello M, Chassaing T and Hutter J (2005). Comput Phys Commun 167: 103 · DOI
  29. Jung Y, Sodt A, Gill PMW and Head-Gordon M (2005). Proc Natl Acad Sci USA 102: 6692 · DOI
  30. Eichkorn K, Treutler O, Oehm H, Haeser M and Ahlrichs R (1995). Chem Phys Lett 240: 283 · DOI
  31. Eichkorn K, Weigend F, Treutler O and Ahlrichs R (1997). Theo Chem Acc 97: 119 · DOI
  32. Füsti-Molnár L and Pulay P (2003). Theochem 25: 666–667
  33. Skylaris C-K, Haynes PD, Mostofi AA and Payne MC (2006). Phys Status Solidi B, Basic Res 243: 973 · DOI
  34. Dreuw A and Head-Gordon M (2006). Chem Rev 105: 4009 · DOI · Paper page
  35. Zhao Y and Truhlar DG (2006). Org Lett 8: 5753 · DOI
  36. Lynch BJ, Fast PL, Harris M and Truhlar DG (2000). J Phys Chem A 104: 4811 · DOI · Paper page
  37. Zhao Y and Truhlar DG (2005). J Chem Theory Comput 1: 415 · DOI
  38. Schultz N, Zhao Y and Truhlar DG (2005). J Phys Chem A 109: 4388 · DOI
  39. Schultz N, Zhao Y and Truhlar DG (2005). J Phys Chem A 109: 11127 · DOI
  40. Zhao Y and Truhlar DG (2006). J Phys Chem A 110: 10478 · DOI
  41. Zhao Y and Truhlar DG (2006). J Chem Theory Comput 2: 1009 · DOI
  42. Zhao Y and Truhlar DG (2006). J Phys Chem A 110: 5121 · DOI · Paper page
  43. Zhao Y and Truhlar DG (2006). J Chem Phys 124: 224105 · DOI
  44. Zhao Y and Truhlar DG (2007). J Chem Theory Comput 3: 289 · DOI
  45. Zhang Y, Li ZH and Truhlar DG (2007). J Chem Theory Comput 3: 593 · DOI
  46. Kabelác M, Sherer EC, Cramer CJ and Hobza P (2006). Chem Eur J 13: 2067 · DOI
  47. Schultz NE, Gherman BF, Cramer CJ and Truhlar DG (2006). J Phys Chem B 110: 24030 · DOI
  48. Zhao Y and Truhlar DG (2007). J Org Chem 72: 295 · DOI
  49. Zhao Y, Lynch BJ and Truhlar DG (2004). J Phys Chem A 108: 4786 · DOI
  50. Zhao Y, González-García N and Truhlar DG (2005). J Phys Chem A 109: 2012 · DOI
  51. Chakravorty SJ, Gwaltney SR, Davidson ER, Parpia FA and Fischer CFF (1993). Phys Rev A 47: 3649 · DOI
  52. Lynch BJ, Zhao Y and Truhlar DG (2003). J Phys Chem A 107: 1384 · DOI · Paper page
  53. Zheng JJ, Zhao Y and Truhlar DG (2007). J Chem Theory Comput 3: 569 · DOI
  54. Pople JA, Head-Gordon M and Raghavachari K (1987). J Chem Phys 87: 5968 · DOI · Paper page
  55. Fast PL, Sanchez ML and Truhlar DG (1999). Chem Phys Lett 306: 407 · DOI
  56. Curtiss LA, Redfern PC, Raghavachari K, Rassolov V and Pople JA (1999). J Chem Phys 110: 4703 · DOI · Paper page
  57. Curtiss LA, Raghavachari K, Redfern PC, Rassolov V and Pople JA (1998). J Chem Phys 109: 7764 · DOI
  58. Frisch MJ, Pople JA and Binkley JS (1984). J Chem Phys 80: 3265 · DOI
  59. Hehre WJ, Radom L, Schleyer PvR and Pople JA (1986). Ab initio molecular orbital theory, 1st ed. , Wiley, New York
  60. Izgorodina EI, Coote ML and Radom L (2005). J Phys Chem A 109: 7558 · DOI
  61. Weigend F, Furche F and Ahlrichs R (2003). J Chem Phys 119: 12753 · DOI · Paper page
  62. Fast PL and Truhlar DG (2000). J Phys Chem A 104: 6111 · DOI
  63. Lynch BJ and Truhlar DG (2003). J Phys Chem A 107: 3898 · DOI · Paper page
  64. Sinnokrot MO and Sherrill CD (2004). J Phys Chem A 108: 10200 · DOI
  65. Jurecka P, Sponer J, Cerny J and Hobza P (2006). Phys Chem Chem Phys 8: 1985 · DOI
  66. Casida ME (1996) . In: Seminario JM(ed) Recent developments and applications of modern density functional theory. Elsevier, Amsterdam, p 391 · DOI · Paper page
  67. Bauernschmitt R and Ahlrichs R (1996). Chem Phys Lett 256: 454 · DOI
  68. Stratmann RE, Scuseria GE and Frisch MJ (1998). J Chem Phys 109: 8218 · DOI
  69. Marques MAL and Gross EKU (2004). Annu Rev Phys Chem 55: 427 · DOI · Paper page
  70. Furche F and Rappoport D (2005). Comp Theor Chem 16: 93 · DOI
  71. Sadlej AJ (1991). Theor Chim Acta 79: 123 · DOI · Paper page
  72. Casida ME, Jamorski C, Casida KC and Salahub DR (1998). J Chem Phys 108: 4439 · DOI
  73. Hamprecht FA, Cohen AJ, Tozer DJ and Handy NC (1998). J Chem Phys 109: 6264 · DOI
  74. Furche F and Perdew JP (2006). J Chem Phys 124: 044103 · DOI · Paper page
  75. Woon DE and T.H. Dunning J (1993). J Chem Phys 98: 1358 · DOI · Paper page
  76. Balabanov NB and Peterson KA (2005). J Chem Phys 123: 064107 · DOI · Paper page
  77. Quintal MM, Karton A, Iron MA, Boese AD and Martin JML (2006). J Phys Chem A 110: 709 · DOI
  78. Raghavachari K and Trucks GW (1989). J Chem Phys 91: 1062 · DOI
  79. Martin RL and Hay PJ (1981). J Chem Phys 75: 4539 · DOI
  80. Boys SF and Bernardi F (1970). Mol Phys 19: 553 · DOI · Paper page
  81. Schwenke DW and Truhlar DG (1985). J Chem Phys 82: 2418 · DOI
  82. Voorhis TV and Scuseria GE (1997). Mol Phys 92: 601 · DOI
  83. Becke AD (1986). J Chem Phys 84: 4524 · DOI
  84. Stoll H, Pavkidou CME and Preuss H (1978). Theor Chim Acta 49: 143 · DOI
  85. Becke AD (1988). Phys Rev A 38: 3098 · DOI · Paper page
  86. Stephens PJ, Devlin FJ, Chabalowski CF and Frisch MJ (1994). J Phys Chem 98: 11623 · DOI · Paper page
  87. Schmider HL and Becke AD (1998). J Chem Phys 108: 9624 · DOI · Paper page
  88. Adamo C and Barone V (1999). J Chem Phys 110: 6158 · DOI · Paper page
  89. Valentin CD, Pacchioni G, Bredow T, Dominguez-Ariza D and Illas F (2002). J Chem Phys 117: 2299 · DOI
  90. Wilson PJ, Bradley TJ and Tozer DJ (2001). J Chem Phys 115: 9233 · DOI · Paper page
  91. Curtiss LA, Redfern PC and Raghavachari K (2005). J Chem Phys 123: 124107 · DOI
  92. Zhao Y, Pu J, Lynch BJ and Truhlar DG (2004). Phys Chem Chem Phys 6: 673 · DOI · Paper page
  93. Woodcock HL, Schaefer HF and Schreiner PR (2002). J Phys Chem A 106: 11923 · DOI
  94. Champagne B, Perpete EA, van Gisbergen SJA, Baerends E-J, Snijders JG, Soubra-Ghaoui C, Robins KA and Kirtman B (1998). J Chem Phys 109: 10489 · DOI · Paper page
  95. Champagne B, Perpete EA, Jacquemin D, Gisbergen SJAV, Baerends E-J, Soubra-Ghaoui C, Robins KA and Kirtman B (2000). J Phys Chem A 104: 4755 · DOI · Paper page
  96. Schreiner PR, Fokin AA, Pascal RA Jr and de Meijere A (2006). Org Lett 8: 3635 · DOI · Paper page
  97. Grimme S (2006). Angew Chem Int Ed 45: 4460 · DOI · Paper page
  98. Phillips JA and Cramer CJ (2005). J Chem Theory Comput 1: 827 · DOI
  99. Füsti-Molnár L and Szalay PG (1996). J Phys Chem 100: 6288 · DOI
  100. Leininger ML and Schaefer HF (1997). J Chem Phys 107: 9059 · DOI
  101. Ljubic I and Sabljic A (2002). J Phys Chem A 106: 4745 · DOI
  102. Feller D and Peterson KA (1999). J Chem Phys 110: 8384 · DOI
  103. Curtiss LA, Raghavachari K, Redfern PC and Pople JA (2000). J Chem Phys 112: 7374 · DOI
  104. Grimme S (2005). J Phys Chem A 109: 3067 · DOI
  105. Cioslowski J, Schimeczek M, Liu G and Stoyanov V (2000). J Chem Phys 113: 9377 · DOI
  106. Ruiz E, Salahub DR and Vela A (1995). J Am Chem Soc 117: 1141 · DOI
  107. Ruiz E, Salahub DR and Vela A (1996). J Phys Chem 100: 12265 · DOI
  108. Kool ET, Morales JC and Guckian KM (2000). Angew Chem Int Ed 39: 990 · DOI
  109. Barthelemy P, Lee SJ and Grinstaff M (2005). Pure Appl Chem 77: 2133 · DOI
  110. Vondrásek J, Bendová L, Klusák V and Hobza P (2005). J Am Chem Soc 127: 2615 · DOI
  111. Mansikkamaeki H, Nissinen M and Rissanen K (2004). Angew Chem Int Ed 43: 1243 · DOI
  112. Vázquez M, Bermejo MR, Licchelli M, González-Noya AM, Pedrido RM, Sangregorio C, Sorace L, García-Deibe AM and Sanmartín J (2005). Eur J Inorg Chem 17: 3479 · DOI
  113. Hobza P and Sponer J (1999). Chem Rev 99: 3247 · DOI
  114. Sponer J, Leszczynski J and Hobza P (2001). Biopolymers 61: 3 · DOI
  115. Birks JB (1970). Photophysics of aromatic molecules. Wiley, New York, p 71
  116. Tawada Y, Tsuneda T, Yanagisawa S, Yanai T and Hirao K (2004). J Chem Phys 120: 8425 · DOI · Paper page
  117. Ben-Shlomo SB and Kaldor U (1990). J Chem Phys 92: 3680 · DOI
  118. Nielsen ES, Jorgensen P and Oddershede J (1980). J Chem Phys 73: 6238 · DOI
  119. Clouthier DJ and Ramsay DA (1983). Annu Rev Phys Chem 34: 31 · DOI · Paper page
  120. Biermann D and Schmidt W (1980). J Am Chem Soc 102: 3163 · DOI
  121. Grimme S and Parac M (2003). Chem Phys Chem 4: 292 · DOI · Paper page
  122. Hautman J and Klein ML (1991). NATO ASI Ser E 205: 395
  123. Karlin KD (1993). Science 261: 701 · DOI · Paper page
  124. Crabtree RH (1994). The organometallic chemistry of the transition metals, 2nd ed. Wiley, New York
  125. George SM (1995). Chem Rev 95: 475 · DOI
  126. Somorjai GA (1995). Chem Rev 96: 1223 · DOI · Paper page
  127. Ratner MA, Davis B, Kemp M, Mujica V, Roitberg A and Yalirakil S (1998). Ann N Y Acad Sci 852: 22 · DOI
  128. Truhlar DG, Morokuma K (1999) In: ACS symposium series 721:transition state modeling for catalysis. American Chemical Society, Washington, DC · DOI
  129. Davidson ER (2000). Chem Rev 100: 351 · DOI
  130. Siegbahn PEM and Blomberg MRA (2000). Chem Rev 100: 421 · DOI
  131. Gladysz JA (2000). Chem Rev 100: 1167 · DOI
  132. Rappe AK, Skiff WM and Casewit CJ (2000). Chem Rev 100: 1435 · DOI · Paper page
  133. Lovelll T, Stranger R and McGrady JE (2001). Inorg chem, 40: 39 · DOI
  134. Bertini I, Sigel A and Sigel H (2001). Handbook on Metalloproteins. Marcel Dekker, New York · DOI · Paper page
  135. Coperat C, Chabonas M, Saint-Arromon RP and Basset J-M (2003). Angew Chem Int Ed 42: 156 · DOI · Paper page
  136. Cavigliasso G and Stranger R (2005). Inorg Chem 44: 5081 · DOI
  137. Carreón-Macedo J-L and Harvey JN (2006). Phys Chem Chem Phys 8: 93 · DOI
  138. Tuma C and Sauer J (2006). Phys Chem Chem Phys 8: 3955 · DOI · Paper page
  139. Pople JA, Scott AP and Wong MW (1993). Israel J Chem 33: 345 · DOI
  140. Scott AP and Radom L (1996). J Phys Chem 100: 16502 · DOI
  141. Fast PL, Corchado J, Sanchez ML and Truhlar DG (1999). J Phys Chem A 103: 3139 · DOI
  142. Herzberg G (1966). Molecular spectra and molecular structure. III.Electronic spectra and electronic structure of polyatomic molecules. Van Nostrand Reinhold, New York

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Metadata

Authors
Zhao, Y., & Truhlar, D. G.
Venue
Theoretical Chemistry Accounts
Published
2007-07-12
Volume
120
Issue
1-3
Pages
215-241
ISSN
  • 1432-2234 (ISSN-L)
  • 1432-881X
OpenAlex
W2150697053
Cited by
30,302
References
5
FWCI
109.39
Type
journal article
Language
en
Update notices
erratum (2008-01-15)
Open access
hybrid
Licence

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CoChat. (2026). Citation check: The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals. https://app.cochat.ai/papers/10.1007/s00214-007-0310-x
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Zhao, Y., & Truhlar, D. G. (2008). The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals. Theoretical Chemistry Accounts. https://doi.org/10.1007/s00214-007-0310-x

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