Analytical expressions through the binomial coefficients and recursive relations are derived for the expansion coefficients of overlap integrals in terms of a product of well-known auxiliary functions A and B . These formulas are especially k k useful for the calculation of overlap integrals for lar
Symbolic calculation of auxiliary functions for molecular integrals over slater orbitals
β Scribed by Michael P. Barnett
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 211 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
β¦ Synopsis
Symbolic calculation is applied to the evaluation of molecular integrals over Slater orbitals (STOs). A recurrence scheme is developed for some new auxiliary functions that facilitate this work. Closed expressions are developed independently for use in spot checks. A table of formulas for the individual functions has been constructed and made available on-line. Applications are discussed. The derivations and tabulations were performed mechanically in runs that produced both the original typeset account of this study and more detailed documentation without manual transcription.
π SIMILAR VOLUMES
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The multicenter charge-density expansion coefficients [I. I. Guseinov, J Mol Struct (Theochem) 417, 117 (1997)] appearing in the molecular integrals with an arbitrary multielectron operator were calculated for extremely large quantum numbers of Slater-type orbitals (STOs). As an example, using compu
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