Energy spectrum of tilt grain boundaries in copper

The energy of symmetric and asymmetrical tilt grain boundaries in Cu is calculated by the method of computer modeling for a unified model. The misorientation axis of the neighboring grains corresponds to the [100], [110], and [111] crystallographic directions. It is demonstrated that the dependences of the energy on the misorientation angle of the symmetric boundaries have similar characters for different misorientation axes, and the energy of the majority of special boundaries does not differ from that of general boundaries. The shape of energy surfaces for the asymmetrical grain boundaries depends on the crystal misorientation axis. The energy of the symmetric boundaries is smaller than that of the asymmetrical boundaries.