TY - JOUR
T1 - Nuclear orbital plus molecular orbital theory
T2 - Simultaneous determination of nuclear and electronic wave functions without Born-Oppenheimer approximation
AU - Nakai, Hiromi
PY - 2007/11/15
Y1 - 2007/11/15
N2 - We review a recent development in a rigorous non-Born-Oppenheimer method, i.e., nuclear orbital plus molecular orbital (NOMO) method, which determines the nuclear and electronic wave functions simultaneously. The NOMO theory is an exact theory for the non-BO problem in principle; for example, full-configuration interaction formulation for a complete configuration space. Hartree-Fock (HF) equations for NOs and MOs are derived for practical calculations. The usage of Gaussian basis functions for NOs is discussed. We formulate the elimination of translational and rotational contaminations in the NOMO method. Further, many-body effect such as nucleus-nucleus (n-n), nucleus-electron (n-e), and electron-electron (e-e) correlations are investigated by applying the second-order Møller-Plesset perturbation theory to the NOMO method. The excited-state theories such as configuration interaction and generator coordinate methods are examined to describe not only electronic but also vibrational excited states.
AB - We review a recent development in a rigorous non-Born-Oppenheimer method, i.e., nuclear orbital plus molecular orbital (NOMO) method, which determines the nuclear and electronic wave functions simultaneously. The NOMO theory is an exact theory for the non-BO problem in principle; for example, full-configuration interaction formulation for a complete configuration space. Hartree-Fock (HF) equations for NOs and MOs are derived for practical calculations. The usage of Gaussian basis functions for NOs is discussed. We formulate the elimination of translational and rotational contaminations in the NOMO method. Further, many-body effect such as nucleus-nucleus (n-n), nucleus-electron (n-e), and electron-electron (e-e) correlations are investigated by applying the second-order Møller-Plesset perturbation theory to the NOMO method. The excited-state theories such as configuration interaction and generator coordinate methods are examined to describe not only electronic but also vibrational excited states.
KW - Non-Born-Oppenheimer theory
KW - Nuclear orbital plus molecular orbital theory
KW - Vibrational state
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U2 - 10.1002/qua.21379
DO - 10.1002/qua.21379
M3 - Article
AN - SCOPUS:35248814836
VL - 107
SP - 2849
EP - 2869
JO - International Journal of Quantum Chemistry
JF - International Journal of Quantum Chemistry
SN - 0020-7608
IS - 14
ER -