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Comparison of DFT Methods for Molecular Orbital Eigenvalue Calculations
Abstract
We report how closely the Kohn-Sham highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) eigenvalues of 11 density functional theory (DFT) functionals, respectively, correspond to the negative ionization potentials (-IPs) and electron affinities (EAs) of a test set of molecules. We also report how accurately the HOMO-LUMO gaps of these methods predict the lowest excitation energies using both time-independent and time-dependent DFT (TD-DFT). The 11 DFT functionals include the local spin density approximation (LSDA), five generalized gradient approximation (GGA) functionals, three hybrid GGA functionals, one hybrid functional, and one hybrid meta GGA functional. We find that the HOMO eigenvalues predicted by KMLYP, BH&HLYP, B3LYP, PW91, PBE, and BLYP predict the -IPs with average absolute errors of 0.73, 1.48, 3.10, 4.27, 4.33, and 4.41 eV, respectively. The LUMOs of all functionals fail to accurately predict the EAs. Although the GGA functionals inaccurately predict both the HOMO and LUMO eigenvalues, they predict the HOMO-LUMO gap relatively accurately (approximately 0.73 eV). On the other hand, the LUMO eigenvalues of the hybrid functionals fail to predict the EA to the extent that they include HF exchange, although increasing HF exchange improves the correspondence between the HOMO eigenvalue and -IP so that the HOMO-LUMO gaps are inaccurately predicted by hybrid DFT functionals. We find that TD-DFT with all functionals accurately predicts the HOMO-LUMO gaps. A linear correlation between the calculated HOMO eigenvalue and the experimental -IP and calculated HOMO-LUMO gap and experimental lowest excitation energy enables us to derive a simple correction formula.
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Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Density-functional thermochemistry. III. The role of exact exchange
Becke, A. D. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464913 · Cited by 103,767
Lee, C., Yang, W., & Parr, R. G. (1988) · Physical Review B · doi:10.1103/physrevb.37.785 · Cited by 100,874
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Density-functional exchange-energy approximation with correct asymptotic behavior
Becke, A. D. (1988) · Physical Review A · doi:10.1103/physreva.38.3098 · Cited by 53,711
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
Stephens, P. J., Devlin, F. J., Chabalowski, C. F., & Frisch, M. J. (1994) · The Journal of Physical Chemistry · doi:10.1021/j100096a001 · Cited by 23,248
Vosko, S. H., Wilk, L., & Nusair, M. (1980) · Canadian Journal of Physics · doi:10.1139/p80-159 · Cited by 20,768
Density-functional approximation for the correlation energy of the inhomogeneous electron gas
Perdew, J. P. (1986) · Physical Review B · doi:10.1103/physrevb.33.8822 · Cited by 18,777
Self-consistent molecular orbital methods. XX. A basis set for correlated wave functions
Krishnan, R., Binkley, J. S., Seeger, R., & Pople, J. A. (1980) · The Journal of Chemical Physics · doi:10.1063/1.438955 · Cited by 17,772
Contracted Gaussian basis sets for molecular calculations. I. Second row atoms, Z=11–18
McLean, A. D., & Chandler, G. S. (1980) · The Journal of Chemical Physics · doi:10.1063/1.438980 · Cited by 9,798
Bauernschmitt, R., & Ahlrichs, R. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00440-x · Cited by 5,747
Stratmann, R. E., Scuseria, G. E., & Frisch, M. J. (1998) · The Journal of Chemical Physics · doi:10.1063/1.477483 · Cited by 5,099
Casida, M. E., Jamorski, C., Casida, K. C., & Salahub, D. R. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475855 · Cited by 5,009
Self-consistent molecular orbital methods. 21. Small split-valence basis sets for first-row elements
Binkley, J. S., Pople, J. A., & Hehre, W. J. (1980) · Journal of the American Chemical Society · doi:10.1021/ja00523a008 · Cited by 3,878
Density-Functional Theory for Fractional Particle Number: Derivative Discontinuities of the Energy
Perdew, J. P., Parr, R. G., Levy, M., & Balduz, J. L. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.1691 · Cited by 3,019
Becke, A. D. (1996) · The Journal of Chemical Physics · doi:10.1063/1.470829 · Cited by 2,769
Electron Transport in Molecular Wire Junctions
Nitzan, A., & Ratner, M. A. (2003) · Science · doi:10.1126/science.1081572 · Cited by 2,320
Quantum Theory of Molecules and Solids
Slater, J. C. (1951) · International Linear Collider · Cited by 1,871
Zhao, Y., & Truhlar, D. G. (2005) · The Journal of Physical Chemistry A · doi:10.1021/jp050536c · Cited by 1,708
HANDY, N. C., & COHEN, A. J. (2001) · Molecular Physics · doi:10.1080/00268970010018431 · Cited by 1,640
Zhan, C.-G., Nichols, J. A., & Dixon, D. A. (2003) · The Journal of Physical Chemistry A · doi:10.1021/jp0225774 · Cited by 1,555
Essentials of computational chemistry
Cramer, C. J. (2004) · Cited by 1,317
Quantum theory of molecules and solids
W.J.T. (1975) · Journal of Molecular Structure · doi:10.1016/0022-2860(75)87025-6 · Cited by 799
What Do the Kohn−Sham Orbitals and Eigenvalues Mean?
Stowasser, R., & Hoffmann, R. (1999) · Journal of the American Chemical Society · doi:10.1021/ja9826892 · Cited by 682
A Quantum Chemical View of Density Functional Theory
Baerends, E. J., & Gritsenko, O. V. (1997) · The Journal of Physical Chemistry A · doi:10.1021/jp9703768 · Cited by 646
Tozer, D. J. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1633756 · Cited by 595
Assessment of a new local exchange functional OPTX
Hoe, W.-M., Cohen, A. J., & Handy, N. C. (2001) · Chemical Physics Letters · doi:10.1016/s0009-2614(01)00581-4 · Cited by 511
Density Functionals for Inorganometallic and Organometallic Chemistry
Schultz, N. E., Zhao, Y., & Truhlar, D. G. (2005) · The Journal of Physical Chemistry A · doi:10.1021/jp0539223 · Cited by 472
Zhao, Q., Morrison, R. C., & Parr, R. G. (1994) · Physical Review A · doi:10.1103/physreva.50.2138 · Cited by 462
Comment on “Significance of the highest occupied Kohn-Sham eigenvalue”
Perdew, J. P., & Levy, M. (1997) · Physical Review B · doi:10.1103/physrevb.56.16021 · Cited by 432
Tozer, D. J., & De Proft, F. (2005) · The Journal of Physical Chemistry A · doi:10.1021/jp053504y · Cited by 208
Kang, J. K., & Musgrave, C. B. (2001) · The Journal of Chemical Physics · doi:10.1063/1.1415079 · Cited by 180
Self-citationMills, N. S., Levy, A., & Plummer, B. F. (2004) · The Journal of Organic Chemistry · doi:10.1021/jo0499266 · Cited by 43
Rzepa, H. S., & Sanderson, N. (2004) · Physical Chemistry Chemical Physics · doi:10.1039/b312724a · Cited by 25
Brinkmann, N. R., & Schaefer, H. F. (2003) · Chemical Physics Letters · doi:10.1016/j.cplett.2003.08.128 · Cited by 25
Cited by
Laurent, A. D., & Jacquemin, D. (2013) · International Journal of Quantum Chemistry · doi:10.1002/qua.24438 · Cited by 1,382
Strategies and Software for Machine Learning Accelerated Discovery in Transition Metal Chemistry
Nandy, A., Duan, C., Janet, J. P., Gugler, S., & Kulik, H. J. (2018) · Industrial & Engineering Chemistry Research · doi:10.1021/acs.iecr.8b04015 · Cited by 161
Metadata
- Authors
- Zhang, G., & Musgrave, C. B.
- Venue
- The Journal of Physical Chemistry A
- Publisher
- American Chemical Society (ACS)
- Published
- 2007-02-06
- Volume
- 111
- Issue
- 8
- Pages
- 1554-1561
- ISSN
- 1089-5639 (ISSN-L)
- 1520-5215
- OpenAlex
- W2087520462
- Cited by
- 911
- References
- 36
- FWCI
- 11.00
- Type
- journal article
- Language
- en
- Open access
- closed
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