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The interaction of nuclear multipole moments with an external charge distribution in elliptic coordinates

Published online by Cambridge University Press:  24 October 2008

M. J. Stephen
M. J. Stephen
Affiliation:
Department of ChemistryColumbia UniversityNew York
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Abstract

The calculation of the interaction between a point multipole moment and an external charge distribution is considered in elliptic coordinates. It is complicated by the singularity at the point moment. The results obtained are useful in calculating hyperfine interactions in diatomic molecules where the elliptic coordinates are the most natural system of coordinates. The results lead to an extension of Heine's expansion of (λ + μ)−1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 348 - 352
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

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