Three popular approximations to density functional theory are used to calculate equilibrium bond lengths, atomization energies, and vibrational frequencies of 10 rare-gas diatomic molecules. We investigated the results for the local density Ž . approximation LDA , the Perdew᎐Wang 91 generalized-grad
An approximate diatomics in molecules formulation of generalized valence bond theory
✍ Scribed by John Cullen
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 124 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0192-8651
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✦ Synopsis
Abstract
The slow computational speed of the generalized valence bond perfect pairing method (GVB‐PP) has been an impediment to its routine use. We have addressed this problem by employing a diatomics in molecules Hamiltonian derived from a second quantization perturbation approach. This results in all three‐ and four‐centered two‐electron integrals being dropped from the traditional GVB‐PP calculation. For moderate sized molecules, as for example C~20~ computed with a double zeta + polarization basis, there is on average a fifty‐fold decrease in computational times. In this article, we present the theory behind our approach and analyze the accuracy and speed of this approximate GVB‐PP method for several cases where density functional methods have produced ambivalent results. © 2007 Wiley Periodicals, Inc. J Comput Chem, 2008
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