Expression for overlap integrals of Slater orbitals
β Scribed by Talman, James
- Book ID
- 111981695
- Publisher
- The American Physical Society
- Year
- 1993
- Tongue
- English
- Weight
- 236 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1050-2947
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π SIMILAR VOLUMES
## Abstract Using a modified form of Sharma's method for the expansion of a Slaterβtype orbital in spherical harmonics about a displaced center, a general expression for the overlap integral between two orbitals is derived that is equivalent to that given by Sharma. By use of a simple kind of βcomp
A strategy is presented for the calculation of two-center overlap integrals over Slater-type orbitals. Displaced orbitals are expanded in spherical harmonics with Lowdin β£-functions Γ€s coefficients. The exponentials in the β£-functions are expanded, leading to representation in terms of stored E and
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
## Abstract Exact formulas for 147 overlap integrals between Slaterβtype orbitals with equal screening constants are presented in the most simplified form. This represents all combinations of orbitals with quantum numbers: 1 β€ __N__ β€ 5, 0 β€ __L__ β€ 3, and __M__ β€ __L__. The formulas are automatica