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Multipole expansions for numerical orbital products
Authors:James D Talman
Institution:Department of Applied Mathematics and Centre for Chemical Physics, University of Western Ontario, London, Ontario, Canada N6A 5B7Department of Applied Mathematics and Centre for Chemical Physics, University of Western Ontario, London, Ontario, Canada N6A 5B7
Abstract:The product of two numerically defined atomic angular momentum orbitals at different centers is considered. The product can be expanded about a third center on the line segment joining the two centers. A numerical procedure for evaluating the expansion functions is developed. The application of the expansion to the evaluation of four‐center electron–electron repulsion integrals is discussed. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2007
Keywords:orbital translation  multicenter integrals  numerical orbitals  density expansion
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