Cluster expansion of the wavefunction. Pseudo‐orbital theory based on the SAC expansion and its application to the spin density of open‐shell systems

作者: H. Nakatsuji , K. Hirao

DOI: 10.1063/1.436297

关键词: Operator (physics)Condensed matter physicsLithiumCluster expansionExcitationOrder (group theory)Spin-½Open shellWave functionChemistryAtomic physics

摘要: We have studied the pseudo‐orbital theory, which is based on symmetry‐adapted‐cluster (SAC) expansion of an exact wavefunction proposed previously, in comparison with conventional open‐shell orbital theories, and applied it to calculations spin densities first‐row atoms, Li(2S), Li(2P), Be+(2S), B2+(2S), B(2P), C(3P), N(4S), O(3P), F(2P). started from RHF reference considered mainly spin‐polarization excitation operator its self‐consistency effect. This theory corresponds extension UHF spin‐extended HF (SEHF) yet free theoretical defects found previously for these theories. The relative magnitudes calculated are predicted be order or SEHF, present, first‐order (FO) CI decreasing order. sequence has been confirmed atoms. For three‐electron atoms present give...

参考文章(33)
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
H. Nakatsuji, K. Hirao, Cluster expansion of the wavefunction. Pseduo-orbital theory applied to spin correlation Chemical Physics Letters. ,vol. 47, pp. 569- 571 ,(1977) , 10.1016/0009-2614(77)85042-2
William A. Goddard, Improved Quantum Theory of Many-Electron Systems. III. The GF Method Journal of Chemical Physics. ,vol. 48, pp. 450- 461 ,(1968) , 10.1063/1.1667943
T. C. Caves, M. Karplus, Perturbed Hartree–Fock Theory. I. Diagrammatic Double‐Perturbation Analysis The Journal of Chemical Physics. ,vol. 50, pp. 3649- 3661 ,(1969) , 10.1063/1.1671609
Hiroshi Nakatsuji, Hiroshi Kato, Teijiro Yonezawa, Semi-empirical Unrestricted SCF-MO Treatment for Valence Electron Systems. II. The Angular Dependence of the Methyl Group hfs Constants Bulletin of the Chemical Society of Japan. ,vol. 43, pp. 698- 704 ,(1970) , 10.1246/BCSJ.43.698
D.J. Thouless, Stability conditions and nuclear rotations in the Hartree-Fock theory Nuclear Physics. ,vol. 21, pp. 225- 232 ,(1960) , 10.1016/0029-5582(60)90048-1
Henry F. Schaefer, Richard A. Klemm, Frank E. Harris, Atomic Hyperfine Structure. I. Polarization Wave Functions for the Ground States of B, C, N, O, and F Physical Review. ,vol. 176, pp. 49- 58 ,(1968) , 10.1103/PHYSREV.176.49