ROHF Theory Made Simple

作者: Takashi Tsuchimochi , Gustavo E. Scuseria

DOI: 10.1063/1.3503173

关键词:

摘要: Restricted open-shell Hartree-Fock (ROHF) theory is formulated as a projected self-consistent unrestricted HF (UHF) model by mathematically constraining spin density eigenvalues. The resulting constrained UHF (CUHF) wave function identical to that obtained from Roothaan's effective Fock operator. Our $\alpha$ and $\beta$ CUHF operators are parameter-free have canonical orbitals orbital energies physically meaningful in UHF, except for eliminating contamination. present approach removes ambiguities ROHF the non-uniqueness of methods build upon them. We benchmarks demonstrate physical correctness good agreement with experimental results.

参考文章(23)
J. A. Pople, R. K. Nesbet, Self‐Consistent Orbitals for Radicals The Journal of Chemical Physics. ,vol. 22, pp. 571- 572 ,(1954) , 10.1063/1.1740120
Takashi Tsuchimochi, Gustavo E. Scuseria, Strong correlations via constrained-pairing mean-field theory Journal of Chemical Physics. ,vol. 131, pp. 121102- 121102 ,(2009) , 10.1063/1.3237029
So Hirata, Martin Head-Gordon, Time-dependent density functional theory within the Tamm–Dancoff approximation Chemical Physics Letters. ,vol. 314, pp. 291- 299 ,(1999) , 10.1016/S0009-2614(99)01149-5
Walter J. Lauderdale, John F. Stanton, Jürgen Gauss, John D. Watts, Rodney J. Bartlett, Many-body perturbation theory with a restricted open-shell Hartree—Fock reference Chemical Physics Letters. ,vol. 187, pp. 21- 28 ,(1991) , 10.1016/0009-2614(91)90478-R
Jamie S. Andrews, Dylan Jayatilaka, Richard G.A. Bone, Nicholas C. Handy, Roger D. Amos, Spin contamination in single-determinant wavefunctions Chemical Physics Letters. ,vol. 183, pp. 423- 431 ,(1991) , 10.1016/0009-2614(91)90405-X
Volker Bach, Elliott H. Lieb, Michael Loss, Jan Philip Solovej, There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory Physical Review Letters. ,vol. 72, pp. 2981- 2983 ,(1994) , 10.1103/PHYSREVLETT.72.2981
Peter J. Knowles, Jamie S. Andrews, Roger D. Amos, Nicholas C. Handy, John A. Pople, Restricted Møller—Plesset theory for open-shell molecules Chemical Physics Letters. ,vol. 186, pp. 130- 136 ,(1991) , 10.1016/S0009-2614(91)85118-G
Boris N. Plakhutin, Ernest R. Davidson, Comment on "Combined open shell Hartree-Fock theory of atomic-molecular and nuclear systems" (J. Math. Chem. 42 (2007) 177) Journal of Mathematical Chemistry. ,vol. 45, pp. 859- 866 ,(2009) , 10.1007/S10910-008-9396-1
Ernest R. Davidson, Boris N. Plakhutin, Koopmans’s theorem in the restricted open-shell Hartree–Fock method. II. The second canonical set for orbitals and orbital energies Journal of Chemical Physics. ,vol. 132, pp. 184110- 184110 ,(2010) , 10.1063/1.3418615
R. McWeeny, G. Diercksen, Self‐Consistent Perturbation Theory. II. Extension to Open Shells Journal of Chemical Physics. ,vol. 49, pp. 4852- 4856 ,(1968) , 10.1063/1.1669970