A form of open shell perturbation theory that is invariant with respect to orbital degeneracy is proposed. This new methodology is based entirely on the spin-restricted formalism. Preliminary numerical results are presented and compared with other formulations of perturbation theory.
Construction of open shell perturbation theory
✍ Scribed by E.R. Davidson
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 541 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
Various forms of multi-reference perturbation theory, including our recently suggested 'invariant' form are compared for some diatomic supermolecules. While the 'invariant' zeroth-order Hamiltonian is not the direct sum of the zeroth-order fragment Hamiltonians, the size consistency errors in the final energies from using it often are no worse than for the other methods for the examples considered here.
📜 SIMILAR VOLUMES
A perturbation theory appropriate for low-spin open-shell systems introduced by Murray and Davidson is investigated at second order. Matrix formulas are given and applications to NH, OH+, Oz. CH2 and H&O are reported. The results suggest that this perturbation theory is eauivalent in accuracy to tho
A new open-shell perturbation theory is formulated in terms of symmetric spin orbitals. Only one set of spatial orbitals is required, thereby reducing the number of independent coeffmients in the perturbed wavefunctions. For second order, the computational cost is shown to be similar to a closed-she