Abstract
A systematic extension of Ruedenberg's expansion formula is applied to evaluate two-electron integrals occurring in calculations on molecular structure. Minimum STO basis sets are used for all SCF-calculations within the framework of the MEDO-method (Multipole Expansion of Diatomic Overlap). The errors due to this approximation scheme are almost negligible compared to those introduced by the truncated basis set: LiH, Li2 and N2 are chosen as examples.
Similar content being viewed by others
References
Rosenberg, B. J., Shavitt, I.: J. Chem. Phys.63, 2162 (1975)
Goeppert-Mayer, M., Sklar, A. L.: J. Chem. Phys.6, 645 (1938)
Parr, R. G., Mulliken, R. S.: J. Chem. Phys.18, 1338 (1950)
Pariser, R., Parr, R. G.: J. Chem. Phys.21, 466 (1953)
Pariser, R., Parr, R. G.: J. Chem. Phys.21, 767 (1953)
Pople, J. A.: Trans. Faraday Soc.49, 1375 (1953)
Pople, J. A., Segal, D. P., Santry, G. A.: J. Chem. Phys.43, S129 (1965)
Pople, J. A., Segal, D. P., Santry, G. A.: J. Chem. Phys.43, S136 (1965)
Mulliken, R. S.: J. Chim. Phys.46, 497 (1949)
Harris, F. E., Rein, R.: Theoret. Chim. Acta (Berl.)6, 73 (1966)
Cizek, J.: Mol. Phys.6, 19 (1963)
Cizek, J.: Mol. Phys.10, 83 (1965)
Body, R. G.: Theoret. Chim. Acta (Berl.)18, 107 (1970)
Ruedenberg, K.: J. Chem. Phys.19, 1433 (1951)
Steinhauser, O., Schuster, P.: to be published
Wahl A. C., Cade, P. E., Roothaan, C. C. J.: J. Chem. Phys.41, 2578 (1964)
Harris, F. E., Michels, H. H.: J. Chem. Phys.42, 3325 (1965)
Harris, F. E., Michels, H. H.: J. Chem. Phys.43, S165 (1965)
Harris, F. E., Michels, H. H.: J. Chem. Phys.45, 116 (1966)
Wahl, A. C., Land, R. H.: Intern. J. Quantum Chem.1, 375 (1967)
Wahl, A. C., Land, R. H.: J. Chem. Phys.50, 4725 (1967)
Silverstone, H. J.: J. Chem. Phys.48, 4098 (1968)
Silverstone, H. J.: J. Chem. Phys.48, 4106 (1968)
Silverstone, H. J., Kay, K. G.: J. Chem. Phys.48, 4108 (1968)
Kay, K. G., Silverstone, H. J.: J. Chem. Phys.51, 956 (1969)
Kay, K. G., Silverstone, H. J.: J. Chem. Phys.51, 4287 (1969)
Billingsley, F. P., Bloor, J. E.: Chem. Phys. Letters4, 48 (1969)
Billingsley, F. P., Bloor, J. E.: J. Chem. Phys.55, 5178 (1971)
Newton M. D., Ostlund, N. S., Pople, J. A.: J. Chem. Phys.49, 5192 (1968)
Newton, M. D.: J. Chem. Phys.51, 3917 (1969)
Newton, M. D., Lanthan, W. A., Hehre, W. J., Pople, J. A.: J. Chem. Phys.51, 3927 (1969)
Roothaan, C. C. J.: J. Chem. Phys.19, 1445 (1951)
Ruedenberg, K.: J. Chem. Phys.19, 1459 (1951)
Ruedenberg, K., Roothaan, C. C. J., Jaunzemis, W.: J. Chem. Phys.24, 201 (1956)
Roothaan, C. C. J.: J. Chem. Phys.24, 947 (1956)
Ransil, B. J.: Rev. Mod. Phys.32, 245 (1960)
Fraga, S., Ransil, B. J.: J. Chem. Phys.35, 669 (1961)
Cade, P. E., Huo, W. M.: J. Chem. Phys.47, 614 (1967)
Das, G., Wahl, A. C.: J. Chem. Phys.44, 87 (1966)
Cade, P. E., Sales, K. D., Wahl, A. C.: J. Chem. Phys.44, 1973 (1966)
Cade, P. E., Huo, W. M.: J. Chem. Phys.45, 1063 (1966)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Steinhauser, O., Schuster, P. Multipole expansion of diatomic overlap. Theoret. Chim. Acta 45, 147–156 (1977). https://doi.org/10.1007/BF00552549
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00552549