Combination Rule of Σ Values at Triple Junctions in Cubic Polycrystals

In cubic polycrystals, combinations of coincidence orientation relationships at a triple junction of grains A, B and C can be obtained by using the equation Σ_CA = Σ_ABΣ_BC/d², where d is a common divisor of Σ_AB and Σ_BC. This paper describes the derivation of this equation and shows several models of polycrystals composed of specially selected coincidence boundaries using the above equation.