A close packed aggregate of Kelvin polyhedra is used to model the spatial distribution of different types of grain boundaries (GBs) in a three-dimensional polycrystal. Orthogonal matrices of rotation of a reference unit crystal are randomly generated and stochastically assigned to the volume units. The misorientation matrices of neighboring polyhedra are computed and low-angle and special misorien- tations are selected out of them. Finally, the positions of certain types of GBs in the volume under calculation determine what allows to fix the clusters of low-energy GBs. For various classifications of low-energy GBs, the frequency of cluster sizes in polycrystal is estimated.
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