### Abstract

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 language | English (US) |
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Pages (from-to) | 1128-1134 |

Number of pages | 7 |

Journal | Physical Review |

Volume | 99 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1 1955 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

Cohen, M. H., & Keffer, F. (1955). Dipolar sums in the primitive cubic lattices.

*Physical Review*,*99*(4), 1128-1134. https://doi.org/10.1103/PhysRev.99.1128