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
The scaling approach to multicenter molecular integrals with Slater-type orbitals
β Scribed by Duckhwan Lee; Herschel Rabitz
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 344 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
scaling approach to multicenter molecular inwgrals with Slatcr-type orbit& (STOs) is prescnred.
The result is significant in that it shows (1) the esistcnce of 2 simple relationship betlveen multicenter intcprals snd (2) an implied computetional snvin~s. Operation count estimates indicate that the signilican~ swings \vould occur for 3 system having Ix_ge numbers of STOs on each atom.
π SIMILAR VOLUMES
A general formula has been established for the overlap integrals with the same screening parameters of Slater-type orbitals in terms of bionomial coefficients. The final results are especially useful for the calculation of these integrals for large quantum numbers, which occur in the multicenter int
Using expansion formulas for the charge-density over Slater-type orbitals (STOs) obtained by the one of authors [I. I. Guseinov, J Mol Struct (Theochem) 1997, 417, 117] the multicenter molecular integrals with an arbitrary multielectron operator are expressed in terms of the overlap integrals with t
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