Abstract
Korobov theory for multidimensional numerical integration is used to evaluate electronic integrals. This paper shows the important role played by periodization techniques. Singularity (r −112 ) in the bielectronic six-dimensional integrals is removed through a twofold three-dimensional integration. Results are presented for atomic integrals involving Slater type atomic orbitals.
Similar content being viewed by others
References
Daudey, J.P., Diner, S.: Intern. J. Quantum Chem.6, 575 (1972)
Handy, N.C., Boys, S.F.: Theoret. Chim. Acta (Berl.)31, 195 (1973)
Davis, P. J., Rabinowitz, P.: Numerical integration. New York and Toronto: Blaisdell Publication 1967
Korobov, N.M.: Teoretikochislovye Metody v Priblizhennom Analize (Number theoretic methods in approximate analysis). Moskow: Gosudartstvennoe Izdatel'stvo Fiziko-matematicheckoi Literatury 1963
Haselgrove, C.B.: Math. Computation15, 323 (1961)
Hlawka, E.: Monatsh. Math.66, 140 (1962)
Conroy, H.: J. Chem. Phys.41, 1327 (1964)
Bakhvalov, N.S.: Vest. Mosk. Univ.4, 3 (1959)
Zaremba, S. K.: Aequationes mathematicae4, 11 (1970)
Zaremba, S. K.: In: Applications of number theory to numerical analysis, S. K. Zaremba. Ed., p. 39. New York and London: Academic Press 1972
Maisonneuve, D.: In: Applications of number theory to numerical analysis, S. K. Zaremba. Ed., p. 121. New York and London: Academic Press 1972
Davis, P. J., Rabinowitz, P., Siam, J.: Numer. Anal. B,2, 367 (1965)
Ellis, D.E.: Intern. J. Quantum Chem.2 S, 35 (1968)
Boys, S.F., Handy, N.C.: Proc. Roy. Soc. A311, 309 (1969)
Goodisman, J., Secrest, D.: J. Chem. Phys.45, 1515 (1966)
Schaefer, H.F.: J. Chem. Phys.52, 6241 (1970)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Daudey, J.P., Diner, S. & Savinelli, R. Numerical integration techniques for quantum chemistry. Theoret. Chim. Acta 37, 275–283 (1975). https://doi.org/10.1007/BF01028397
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01028397