It was noted that, in cubic polycrystals, the coincidence orientation relationships at a junction of 3 grains, A, B, C, were related by the equation:

CA = ABBC/d2

where d was a common divisor of AB and BC. The derivation of the equation was explained, and models of polycrystals were made up from specially selected coincidence boundaries by using the equation.

K.Miyazawa, Y.Iwasaki, K.Ito, Y.Ishida: Acta Crystallographica A, 1996, 52[6], 787-96