Figure 5
Sketch of the correct matching district and mismatching district in the 4π solid angle space for a given normal vector of lattice plane a. The space occupied by vector a with all possible directions is a sphere with radius of modulus a. The mismatching district is composed of two upward and downward spaces as shown by the darker color, each of which consists of a cone with an opening angle of 2α and a covered segment. The rest is the correct matching district. The boundary angle of these two districts is α. |