The structure of uniform discrete defective crystals
Cermelli, Paolo and Parry, Gareth P. (2006) The structure of uniform discrete defective crystals. Continuum Mechanics and Thermodynamics, 18 (1-2). pp. 47-61. ISSN 1432-0959
In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simple iteration procedure generates an infinite set of points which is associated with uniform defective crystals. When certain necessary conditions are satisfied, there is a minimum (non-zero) separation of points in this set, so the set is discrete. We describe the structure of such sets explicitly, and show in particular that any such set is either a simple lattice or a 4-lattice.
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