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Evaluation of two-center overlap integrals using slater type orbitals in terms of bessel type orbitals

✍ Scribed by Telhat Özdoğan; Metin Orbay; Salih Değirmenci

Publisher
Springer
Year
2005
Tongue
English
Weight
83 KB
Volume
37
Category
Article
ISSN
0259-9791

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## Abstract The strategy for the evaluation of two‐center overlap and Coulomb integrals is illustrated by using computer‐generated formulas produced from 1s orbitals. There is no loss in generality as these formulas have the same structure for higher quantum numbers. For small parameter values, sin

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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

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## Abstract Using a modified form of Sharma's method for the expansion of a Slater‐type 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 “comp