The interfacial energies of 5 high-angle singular grain boundaries in 7 face-centered cubic metals (Ag, Al, Au, Cu, Ni, Pd, Pt) were calculated by using lattice statics methods at 0K, and embedded-atom method potentials. It was found that the results disagreed with the predictions of broken-bond models. However, the grain boundary energies exhibited a clear linear dependence upon the C44 elastic constant. It was concluded that this implied the existence of a characteristic grain boundary length which served as a proportionality constant between the grain boundary energy and C44.
D.Udler, D.N.Seidman: Physical Review B, 1996, 54[16], R11133-6