## Abstract Different kinds of improved uncoupled Hartree–Fock methods are proposed for the calculation of second‐order perturbation energies. Using these methods inequalities are derived for the error of the uncoupled procedure with geometric approximation.
Modified virtual orbitals of Hartree–Fock method in calculation of second-order perturbation energy
✍ Scribed by Eiko Hiroike
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 298 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
An advantage of modified virtual orbitals of Hartree–Fock method is discussed in the calculation of the second‐order perturbation energy. All the modified virtual orbitals can be fitted for the intermediate virtual states in the perturbation expansion, only if the molecular orbitals are expanded in terms of infinite basis functions and the set of molecular orbitals is infinite and complete. If the molecular orbitals are expanded in terms of finite basis functions, only the modified virtual orbitals with lower energies are appropriate to describe the intermediate virtual states, but the modified virtual orbitals with higher energies become inadequate. To explain the usefulness of the modified virtual orbitals, the calculation by the modified Hartree–Fock method without CI are compared with the calculation by the traditional Hartree–Fock method with complete CI.
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