It was recalled that a grain boundary was defined by 5 macroscopic parameters. A method was proposed here which was useful for representing the grain boundary properties of polycrystalline materials as a function of these 5 parameters. These properties could include distribution, energy, mobility, segregation and wetting conditions. The method was based upon the so-called interface-plane scheme of Wolf and Lutsko, in which a grain boundary was characterized by 2 interface-plane normals and a twist angle: (n1, n2, φ). When considering the equivalent grain boundary descriptions in cubic materials, the so-called interface-plane scheme space, (n1, n2, φ), was reduced to a unit triangle (l00-110-111) for n1, a double unit triangle (100-110-111 and 100-101-111) for n2, and φ was between 0 and 2π. All of the equivalent grain boundaries, whose 2 grain-boundary normals were within a given tolerance angle from reference planes, were plotted as a function of the twist angle. This representation method was applied to the grain boundary distributions of a polycrystalline Fe-Mn-Cu alloy. As a result,

significantly high frequencies of the grain boundary distribution were observed at (111)(111), Σ = 3, and small-angle boundaries.

A Representation Method for Grain-Boundary Character. M.Takashima, A.D.Rollett, P.Wynblatt: Philosophical Magazine A, 2000, 80[10], 2457-65