An examination of density functional theories on isomerization energy calculations of organic molecules
- 225 Downloads
Long-range corrected (LC) density functional theories (DFTs) were applied to the isomerization energy calculations of organic molecules to make clear why conventional DFTs including B3LYP have given poor isomerization reaction energies. Combining with local response dispersion (LRD) method, we performed LC-DFT calculations for the benchmark set of isomerization reactions. Consequently, we found that LC-DFT + LRD methods give accurate reaction energies equivalent to up-to-date DFTs containing many semi-empirical parameters. This result indicates that long-range exchange and intramolecular dispersion correlation interactions, which have been neglected in conventional DFTs, play prominent roles in isomerization reactions. However, we also found that these interactions are not sufficient to give accurate isomerization energies especially for cyclization reactions. Considering that Gaussian-attenuated LC-DFTs (LCgau-DFTs) give better isomerization reaction energies than LC-DFTs, we suggested that the isomerization energies will be further improved by correcting the short-range part of exchange functionals in DFT with keeping the whole long-range exchange interactions.
KeywordsDensity functional theory (DFT) Long-range correction (LC) Isomerization energy
We would like to pay honors to Prof. Imamura for his great achievements. This research was supported by the Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Grants: 20350002 and 20038012). The numerical calculations were conducted on the RIKEN Cluster of Clusters (RICC). One of the authors (JWS) is indebted to a post-doctoral fellowship for foreign researchers from the Japan Society for the Promotion of Science (JSPS). Another author (TT) would like to thank Canon Inc. and Hitachi Chemical Co. Ltd for their contributions.
- 1.Kohn W, Sham LJ (1965) Self-consistent equations including exchange and correlation effects. Phys Rev 140(4A):1133Google Scholar
- 2.Kamiya M, Sekino H, Tsuneda T, Hirao K (2005) Nonlinear optical property calculations by the long-range-corrected coupled-perturbed Kohn–Sham method. J Chem Phys 122(23):234111, doi: 10.1063/1.1935514
- 8.Iikura H, Tsuneda T, Yanai T, Hirao K (2001) A long-range correction scheme for generalized-gradient-approximation exchange functionals. J Chem Phys 115(8):3540, doi: 10.1063/1.1383587
- 9.Song J-W, Hirosawa T, Tsuneda T, Hirao K (2007) Long-range corrected density functional calculations of chemical reactions: redetermination of parameter. J Chem Phys 126(15):154105, doi: 10.1063/1.2721532
- 15.Cohen AJ, Mori-Sánchez P, Yang W (2007) Development of exchange-correlation functionals with minimal many-electron self-interaction error. J Chem Phys 126(19):191109, doi: 10.1063/1.2741248
- 30.Becke AD (1993) Density-functional thermochemistry. 3. The role of exact exchange. J Chem Phys 98(7):5648–5652Google Scholar
- 34.Zhao Y, Truhlar DG (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. Theor Chem Acc 120(1–3):215–241. doi: 10.1007/s00214-007-0310-x CrossRefGoogle Scholar
- 36.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 J, Jjogo A, Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam NJ, 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 (2009) Gaussian09, Revision A.1, Gaussian, WallingfordGoogle Scholar