Abstract
The Fourier transforms of the dipole-dipole interaction D ( q ) are mathematically examined in orthorhombic lattices. The following rules are proved: (1) D ( q ) take minima at the Brillouin zone boundaries q ZB in simple lattices. (2) This fact is an origin of energy minima of D ( q ) at incommensurate wave vectors q IC shown by numerical computations when body-, or base-centred sublattices are added; it is a necessary condition for q IC that q ZB is doubled along the direction of q by the addition of these sublattices.
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