## Abstract We consider the tree search problem for the recurrence relation that appears in the evaluation of molecular integrals over Cartesian Gaussian basis functions. A systematic way of performing tree search is shown. By applying the result of tree searching to the LRL2 method of Lindh, Ryu,
Recurrence relations for calculation of the Cartesian multipole tensor
✍ Scribed by Matt Challacombe; Eric Schwegler; Jan Almlöf
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 404 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
We demonstrate that the Cartesian multipole interaction tensor may be evaluated with recurrence relations analogous to the McMurchie-Davidson algorithm for calculation of electron repulsion integrals. With these recursion relations all elements of the Cartesian multipole tensor through order 2' may be calculated in @'(_Y4) CPU time, in contrast to current methods that scale as @(_Y6).
📜 SIMILAR VOLUMES
The tree search problem is considered for optimizing the horizontal recurrence relation step, which is a three-dimensional recurrence relation used in generating two-electron integrals. By eliminating redundant work, it is possible to achieve 13%, 25%. 38% and 44% savings in floating point operation