메뉴 건너뛰기




Volumn 3, Issue 24, 2012, Pages 3740-3744

Curvature and frontier orbital energies in density functional theory

Author keywords

General Theory; Molecular Structure; Quantum Chemistry

Indexed keywords

CORRECTION SCHEMES; DENSITY FUNCTIONAL THEORIES (DFT); DERIVATIVE DISCONTINUITY; EXCHANGE-CORRELATION POTENTIAL; FRONTIER ORBITAL ENERGIES; GENERAL THEORY; HARTREE-FOCK THEORY; HYBRID FUNCTIONALS; INTEGER NUMBERS; KOHN-SHAM FORMULATION; LINEAR SEGMENTS; ORBITAL ENERGY; PARTICLE NUMBERS; PHYSICAL MEANINGS; PIECEWISE LINEARITIES; SMALL MOLECULES; THEORETICAL BASIS; TOTAL ENERGY; TUNING STRATEGY;

EID: 84871580727     PISSN: None     EISSN: 19487185     Source Type: Journal    
DOI: 10.1021/jz3015937     Document Type: Article
Times cited : (170)

References (48)
  • 1
    • 0001132752 scopus 로고
    • Density Functional Theory for Fractional Particle Number: Derivative Discontinuities of the Energy
    • Perdew, J. P.; Parr, R. G.; Levy, M.; Balduz, J. L. Density Functional Theory for Fractional Particle Number: Derivative Discontinuities of the Energy Phys. Rev. Lett. 1982, 49, 1691
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1691
    • Perdew, J.P.1    Parr, R.G.2    Levy, M.3    Balduz, J.L.4
  • 2
    • 38049123534 scopus 로고    scopus 로고
    • Orbital-Dependent Density Functionals: Theory and Applications
    • Kümmel, S.; Kronik, L. Orbital-Dependent Density Functionals: Theory and Applications Rev. Mod. Phys 2008, 80, 3
    • (2008) Rev. Mod. Phys , vol.80 , pp. 3
    • Kümmel, S.1    Kronik, L.2
  • 3
    • 84860717886 scopus 로고    scopus 로고
    • Excitation Gaps of Finite-Sized Systems from Optimally Tuned Range-Separated Hybrid Functionals
    • Kronik, L.; Stein, T.; Refaely-Abramson, S.; Baer, R. Excitation Gaps of Finite-Sized Systems from Optimally Tuned Range-Separated Hybrid Functionals J. Chem. Theory Comput. 2012, 8, 1515
    • (2012) J. Chem. Theory Comput. , vol.8 , pp. 1515
    • Kronik, L.1    Stein, T.2    Refaely-Abramson, S.3    Baer, R.4
  • 4
    • 0011999824 scopus 로고    scopus 로고
    • A Fresh Look at Ensembles: Derivative Discontinuities in Density Functional Theory
    • Chan, G. K.-L. a Fresh Look at Ensembles: Derivative Discontinuities in Density Functional Theory J. Chem. Phys. 1999, 110, 4710
    • (1999) J. Chem. Phys. , vol.110 , pp. 4710
    • Chan, G.K.-L.1
  • 5
    • 0037138917 scopus 로고    scopus 로고
    • Eigenvalues, Integer Discontinuities and NMR Shielding Constants in Kohn-Sham Theory
    • Allen, M. J.; Tozer, D. J. Eigenvalues, Integer Discontinuities and NMR Shielding Constants in Kohn-Sham Theory Mol. Phys. 2002, 100, 433
    • (2002) Mol. Phys. , vol.100 , pp. 433
    • Allen, M.J.1    Tozer, D.J.2
  • 6
    • 35949017831 scopus 로고
    • Accurate Exchange-Correlation Potential for Silicon and Its Discontinuity on Addition of an Electron
    • Godby, R. W.; Schluter, M.; Sham, L. J. Accurate Exchange-Correlation Potential for Silicon and Its Discontinuity on Addition of an Electron Phys. Rev. Lett. 1986, 56, 2415
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2415
    • Godby, R.W.1    Schluter, M.2    Sham, L.J.3
  • 7
    • 49449097052 scopus 로고    scopus 로고
    • Insights into Current Limitations of Density Functional Theory
    • Cohen, A. J.; Mori-Sanchez, P.; Yang, W. T. Insights into Current Limitations of Density Functional Theory Science 2008, 321, 792
    • (2008) Science , vol.321 , pp. 792
    • Cohen, A.J.1    Mori-Sanchez, P.2    Yang, W.T.3
  • 8
    • 0942279182 scopus 로고    scopus 로고
    • Relationship between Long-Range Charge-Transfer Excitation Energy Error and Integer Discontinuity in Kohn-Sham theory
    • Tozer, D. J. Relationship between Long-Range Charge-Transfer Excitation Energy Error and Integer Discontinuity in Kohn-Sham theory J. Chem. Phys. 2003, 119, 12697
    • (2003) J. Chem. Phys. , vol.119 , pp. 12697
    • Tozer, D.J.1
  • 9
    • 37649029459 scopus 로고    scopus 로고
    • Electrical Response of Molecular Chains from Density Functional Theory
    • Kümmel, S.; Kronik, L.; Perdew, J. P. Electrical Response of Molecular Chains from Density Functional Theory Phys. Rev. Lett. 2004, 93, 213002
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 213002
    • Kümmel, S.1    Kronik, L.2    Perdew, J.P.3
  • 10
    • 0000724274 scopus 로고
    • Exact Results for the Charge and Spin Densities, Exchange-Correlation Potentials, and Density-Functional Eigenvalues
    • Almbladh, C.-O.; von-Barth, U. Exact Results for the Charge and Spin Densities, Exchange-Correlation Potentials, And Density-Functional Eigenvalues Phys. Rev. B 1985, 31, 3231
    • (1985) Phys. Rev. B , vol.31 , pp. 3231
    • Almbladh, C.-O.1    Von-Barth, U.2
  • 11
    • 0000812676 scopus 로고    scopus 로고
    • Comment on "significance of the Highest Occupied Kohn-Sham Eigenvalue"
    • Perdew, J. P.; Levy, M. Comment on "Significance of the Highest Occupied Kohn-Sham Eigenvalue" Phys. Rev. B 1997, 56, 16021
    • (1997) Phys. Rev. B , vol.56 , pp. 16021
    • Perdew, J.P.1    Levy, M.2
  • 12
    • 24544463188 scopus 로고
    • Exact Differential Equation for the Density and Ionization Energy of a Many-Particle System
    • Levy, M.; Perdew, J. P.; Sahni, V. Exact Differential Equation for the Density and Ionization Energy of a Many-Particle System Phys. Rev. A 1984, 30, 2745
    • (1984) Phys. Rev. A , vol.30 , pp. 2745
    • Levy, M.1    Perdew, J.P.2    Sahni, V.3
  • 13
    • 0036470325 scopus 로고    scopus 로고
    • Interpretation of the Kohn-Sham Orbital Energies As Approximate Vertical Ionization Potentials
    • Chong, D. P.; Gritsenko, O. V.; Baerends, E. J. Interpretation of the Kohn-Sham Orbital Energies As Approximate Vertical Ionization Potentials J. Chem. Phys. 2002, 116, 1760
    • (2002) J. Chem. Phys. , vol.116 , pp. 1760
    • Chong, D.P.1    Gritsenko, O.V.2    Baerends, E.J.3
  • 14
    • 0037159964 scopus 로고    scopus 로고
    • The Analog of Koopmans' Theorem in Spin-Density Functional Theory
    • Gritsenko, O. V.; Baerends, E. J. The Analog of Koopmans' Theorem in Spin-Density Functional Theory J. Chem. Phys. 2002, 117, 9154
    • (2002) J. Chem. Phys. , vol.117 , pp. 9154
    • Gritsenko, O.V.1    Baerends, E.J.2
  • 15
    • 3343011193 scopus 로고
    • Physical Content of the Exact Kohn-Sham Orbital Energies - Band-Gaps and Derivative Discontinuities
    • Perdew, J. P.; Levy, M. Physical Content of the Exact Kohn-Sham Orbital Energies-Band-Gaps and Derivative Discontinuities Phys. Rev. Lett. 1983, 51, 1884
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 1884
    • Perdew, J.P.1    Levy, M.2
  • 16
    • 4243209020 scopus 로고
    • Density Functional Theory of the Gap
    • Sham, L. J.; Schlüter, M. Density Functional Theory of the Gap Phys. Rev. Lett. 1983, 51, 1888
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 1888
    • Sham, L.J.1    Schlüter, M.2
  • 17
    • 84862566162 scopus 로고    scopus 로고
    • Derivative Discontinuity, Bandgap and Lowest Unoccupied Molecular Orbital in Density Functional Theory
    • Yang, W.; Cohen, A. J.; Mori-Sanchez, P. Derivative Discontinuity, Bandgap and Lowest Unoccupied Molecular Orbital in Density Functional Theory J. Chem. Phys. 2012, 136, 204111
    • (2012) J. Chem. Phys. , vol.136 , pp. 204111
    • Yang, W.1    Cohen, A.J.2    Mori-Sanchez, P.3
  • 19
    • 68049084513 scopus 로고
    • This term was originally introduced by [, ] to emphasize links between the DD and self-interaction corrections. Here we establish quantitative relations between the DD and piecewise linearity.
    • This term was originally introduced by Perdew, J. P. [ Adv. Chem. Phys. 1990, 21, 113 ] to emphasize links between the DD and self-interaction corrections. Here we establish quantitative relations between the DD and piecewise linearity.
    • (1990) Adv. Chem. Phys. , vol.21 , pp. 113
    • Perdew, J.P.1
  • 20
    • 41549157663 scopus 로고    scopus 로고
    • Fractional Charge Perspective on the Band Gap in Density-Functional Theory
    • Cohen, A. J.; Mori-Sanchez, P.; Yang, W. T. Fractional Charge Perspective on the Band Gap in Density-Functional Theory Phys. Rev. B 2008, 77, 115123
    • (2008) Phys. Rev. B , vol.77 , pp. 115123
    • Cohen, A.J.1    Mori-Sanchez, P.2    Yang, W.T.3
  • 21
    • 0000058492 scopus 로고
    • i = ε in Density-Functional Theory
    • i = ε in Density-Functional Theory Phys. Rev. B 1978, 18, 7165
    • (1978) Phys. Rev. B , vol.18 , pp. 7165
    • Janak, J.1
  • 23
    • 49149092793 scopus 로고    scopus 로고
    • Orbital Energies and Negative Electron Affinities from Density Functional Theory: Insight from the Integer Discontinuity
    • Teale, A. M.; De Proft, F.; Tozer, D. J. Orbital Energies and Negative Electron Affinities from Density Functional Theory: Insight from the Integer Discontinuity J. Chem. Phys. 2008, 129, 044110
    • (2008) J. Chem. Phys. , vol.129 , pp. 044110
    • Teale, A.M.1    De Proft, F.2    Tozer, D.J.3
  • 24
    • 0000857501 scopus 로고    scopus 로고
    • Hybrid Schemes Combining the Hartree-Fock Method and Density-Functional Theory: Underlying Formalism and Properties of Correlation Functionals
    • Görling, A.; Levy, M. Hybrid Schemes Combining the Hartree-Fock Method and Density-Functional Theory: Underlying Formalism and Properties of Correlation Functionals J. Chem. Phys. 1997, 106, 2675
    • (1997) J. Chem. Phys. , vol.106 , pp. 2675
    • Görling, A.1    Levy, M.2
  • 25
    • 73449105349 scopus 로고    scopus 로고
    • Tuned Range-separated hybrids in density functional theory
    • Baer, R.; Livshits, E.; Salzner, U. Tuned Range-separated hybrids in density functional theory Annu. Rev. Phys. Chem. 2010, 61, 85
    • (2010) Annu. Rev. Phys. Chem. , vol.61 , pp. 85
    • Baer, R.1    Livshits, E.2    Salzner, U.3
  • 26
    • 4243943295 scopus 로고    scopus 로고
    • Generalized Gradient Approximation Made Simple
    • Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized Gradient Approximation Made Simple Phys. Rev. Lett. 1996, 77, 3865
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3865
    • Perdew, J.P.1    Burke, K.2    Ernzerhof, M.3
  • 27
    • 0001475454 scopus 로고    scopus 로고
    • Toward Reliable Density Functional Methods without Adjustable Parameters: The PBE0 Model
    • Adamo, C.; Barone, V. Toward Reliable Density Functional Methods without Adjustable Parameters: The PBE0 Model J. Chem. Phys. 1999, 110, 6158
    • (1999) J. Chem. Phys. , vol.110 , pp. 6158
    • Adamo, C.1    Barone, V.2
  • 28
    • 0000284436 scopus 로고    scopus 로고
    • Assessment of the Perdew-Burke-Ernzerhof Exchange-Correlation Functional
    • Ernzerhof, M.; Scuseria, G. E. Assessment of the Perdew-Burke-Ernzerhof Exchange-Correlation Functional J. Chem. Phys. 1999, 110, 5029
    • (1999) J. Chem. Phys. , vol.110 , pp. 5029
    • Ernzerhof, M.1    Scuseria, G.E.2
  • 29
    • 0004015882 scopus 로고
    • Beyond the Kohn-Sham Determinant
    • In; Chong, D. P. World Scientific: Singapore
    • Savin, A. Beyond the Kohn-Sham Determinant. In Recent Advances in Density Functional Methods Part I; Chong, D. P., Ed.; World Scientific: Singapore, 1995; p 129.
    • (1995) Recent Advances in Density Functional Methods Part i , pp. 129
    • Savin, A.1
  • 30
    • 34250178759 scopus 로고    scopus 로고
    • A Well-Tempered Density Functional Theory of Electrons in Molecules
    • Livshits, E.; Baer, R. A Well-Tempered Density Functional Theory of Electrons in Molecules Phys. Chem. Chem. Phys. 2007, 9, 2932
    • (2007) Phys. Chem. Chem. Phys. , vol.9 , pp. 2932
    • Livshits, E.1    Baer, R.2
  • 31
    • 73449099651 scopus 로고    scopus 로고
    • Koopmans' Springs to Life
    • Salzner, U.; Baer, R. Koopmans' Springs to Life J. Chem. Phys. 2009, 131, 231101
    • (2009) J. Chem. Phys. , vol.131 , pp. 231101
    • Salzner, U.1    Baer, R.2
  • 32
    • 78650473599 scopus 로고    scopus 로고
    • Fundamental Gaps of Finite Systems from the Eigenvalues of a Generalized Kohn-Sham Method
    • Stein, T.; Eisenberg, H.; Kronik, L.; Baer, R. Fundamental Gaps of Finite Systems from the Eigenvalues of a Generalized Kohn-Sham Method Phys. Rev. Lett. 2010, 105, 266802
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 266802
    • Stein, T.1    Eisenberg, H.2    Kronik, L.3    Baer, R.4
  • 33
    • 80052421200 scopus 로고    scopus 로고
    • Fundamental and Excitation Gaps in Molecules of Relevance for Organic Photovoltaics from an Optimally Tuned Range-Separated Hybrid Functional
    • Refaely-Abramson, S.; Baer, R.; Kronik, L. Fundamental and Excitation Gaps in Molecules of Relevance for Organic Photovoltaics from an Optimally Tuned Range-Separated Hybrid Functional Phys. Rev. B 2011, 84, 075144
    • (2011) Phys. Rev. B , vol.84 , pp. 075144
    • Refaely-Abramson, S.1    Baer, R.2    Kronik, L.3
  • 34
    • 73649101299 scopus 로고    scopus 로고
    • Prediction of Charge-Transfer Excitations in Coumarin-Based Dyes Using a Range-Separated Functional Tuned from First Principles
    • Stein, T.; Kronik, L.; Baer, R. Prediction of Charge-Transfer Excitations in Coumarin-Based Dyes Using a Range-Separated Functional Tuned from First Principles J. Chem. Phys. 2009, 131, 244119
    • (2009) J. Chem. Phys. , vol.131 , pp. 244119
    • Stein, T.1    Kronik, L.2    Baer, R.3
  • 36
    • 84855697145 scopus 로고    scopus 로고
    • Tuned Range-Separated Time-Dependent Density Functional Theory Applied to Optical Rotation
    • Srebro, M.; Autschbach, J. Tuned Range-Separated Time-Dependent Density Functional Theory Applied to Optical Rotation J. Chem. Theory Comput. 2011, 8, 245
    • (2011) J. Chem. Theory Comput. , vol.8 , pp. 245
    • Srebro, M.1    Autschbach, J.2
  • 37
    • 84857706475 scopus 로고    scopus 로고
    • Does a Molecule-Specific Density Functional Give an Accurate Electron Density? the Challenging Case of the CuCl Electric Field Gradient
    • Srebro, M.; Autschbach, J. Does a Molecule-Specific Density Functional Give an Accurate Electron Density? The Challenging Case of the CuCl Electric Field Gradient J. Phys. Chem. Lett. 2012, 3, 576
    • (2012) J. Phys. Chem. Lett. , vol.3 , pp. 576
    • Srebro, M.1    Autschbach, J.2
  • 38
    • 80053893525 scopus 로고    scopus 로고
    • Optical Rotation Calculated with Time-Dependent Density Functional Theory: The OR45 Benchmark
    • Srebro, M.; Govind, N.; de Jong, W. A.; Autschbach, J. Optical Rotation Calculated with Time-Dependent Density Functional Theory: The OR45 Benchmark J. Phys. Chem. A 2011, 115, 10930
    • (2011) J. Phys. Chem. A , vol.115 , pp. 10930
    • Srebro, M.1    Govind, N.2    De Jong, W.A.3    Autschbach, J.4
  • 40
    • 84869001450 scopus 로고    scopus 로고
    • Analysis of Optical Activity in Terms of Bonds and Lone-Pairs: The Exceptionally Large Optical Rotation of Norbornenone
    • Moore, B., II; Srebro, M.; Autschbach, J. Analysis of Optical Activity in Terms of Bonds and Lone-Pairs: The Exceptionally Large Optical Rotation of Norbornenone J. Chem. Theory Comput. 2012, 8, 4336
    • (2012) J. Chem. Theory Comput. , vol.8 , pp. 4336
    • Moore, B.I.I.1    Srebro, M.2    Autschbach, J.3
  • 41
    • 85022186897 scopus 로고    scopus 로고
    • Density Functional Study of Tetraphenylporphyrin Long-Range Exciton Coupling
    • Moore, B., II; Autschbach, J. Density Functional Study of Tetraphenylporphyrin Long-Range Exciton Coupling Chemistry Open 2012, 1, 184
    • (2012) Chemistry Open , vol.1 , pp. 184
    • Moore, B.I.I.1    Autschbach, J.2
  • 42
    • 0012459223 scopus 로고    scopus 로고
    • Excitation Energies from Time-Dependent Density-Functional Theory
    • Petersilka, M.; Gossmann, U. J.; Gross, E. K. U. Excitation Energies from Time-Dependent Density-Functional Theory Phys. Rev. Lett. 1996, 76, 1212
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1212
    • Petersilka, M.1    Gossmann, U.J.2    Gross, E.K.U.3
  • 43
    • 70349755618 scopus 로고    scopus 로고
    • Is Charge Transfer Transitions Really Too Difficult for Standard Density Functionals or Are They Just a Problem for Time-Dependent Density Functional Theory Based on a Linear Response Approach
    • Ziegler, T.; Seth, M.; Krykunov, M.; Autschbach, J.; Wang, F. Is Charge Transfer Transitions Really Too Difficult for Standard Density Functionals or Are They Just a Problem for Time-Dependent Density Functional Theory Based on a Linear Response Approach J. Mol. Struct.: THEOCHEM 2009, 914, 106
    • (2009) J. Mol. Struct.: THEOCHEM , vol.914 , pp. 106
    • Ziegler, T.1    Seth, M.2    Krykunov, M.3    Autschbach, J.4    Wang, F.5
  • 44
    • 15444366598 scopus 로고    scopus 로고
    • Linear Response Approach to the Calculation of the Effective Interaction Parameters in the LDA+U Method
    • Cococcioni, M.; de Gironcoli, S. Linear Response Approach to the Calculation of the Effective Interaction Parameters in the LDA+U Method Phys. Rev. B 2005, 71, 035105
    • (2005) Phys. Rev. B , vol.71 , pp. 035105
    • Cococcioni, M.1    De Gironcoli, S.2
  • 45
    • 77955742376 scopus 로고    scopus 로고
    • Generalized Koopmans Density Functional Calculations Reveal the Deep Acceptor State of N-O in ZnO
    • Lany, S.; Zunger, A. Generalized Koopmans Density Functional Calculations Reveal the Deep Acceptor State of N-O in ZnO Phys. Rev. B 2010, 81, 205209
    • (2010) Phys. Rev. B , vol.81 , pp. 205209
    • Lany, S.1    Zunger, A.2
  • 47
    • 79961058161 scopus 로고    scopus 로고
    • Improving Band Gap Prediction in Density Functional Theory from Molecules to Solids
    • Zheng, X.; Cohen, A. J.; Mori-Sánchez, P.; Hu, X.; Yang, W. Improving Band Gap Prediction in Density Functional Theory from Molecules to Solids Phys. Rev. Lett. 2011, 107, 026403
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 026403
    • Zheng, X.1    Cohen, A.J.2    Mori-Sánchez, P.3    Hu, X.4    Yang, W.5
  • 48
    • 0037838961 scopus 로고    scopus 로고
    • Converting Kohn-Sham Eigenenergies into Electron Binding Energies
    • Jellinek, J.; Acioli, P. H. Converting Kohn-Sham Eigenenergies into Electron Binding Energies J. Chem. Phys. 2003, 118, 7783
    • (2003) J. Chem. Phys. , vol.118 , pp. 7783
    • Jellinek, J.1    Acioli, P.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.