Dipolar sums in the primitive cubic lattices

M. H. Cohen, F. Keffer

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237 Scopus citations


Dipole-wave sums, important in many magnetic and electric problems involving dipole-dipole interactions, are defined, and numerical values are given at sets of independent points in k-space equivalent to a 512-fold sampling of the first Brillouin zone of each of the three primitive cubic lattices. Strong size, shape, and position dependence of these sums is shown to occur in a pathological region about the origin in k-space. The dipole-wave sums are shown to be related to dipole-field factors at points within the unit cell. The dipolar anisotropy energy in the antiferromagnet MnO is discussed as an illustration of the use of dipole-wave sums.

Original languageEnglish (US)
Pages (from-to)1128-1134
Number of pages7
JournalPhysical Review
Issue number4
StatePublished - 1955
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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