Nonrelativistic dispersional equations for crystals of sphalerite and diamond structure

The tenth- and eleventh-order dispersion equations obtained for sphalerite and diamond structures in previous works are reduced to algebraic form and compared. The dispersion equation for the sphalerite structure is factorized at the axes and in the planes of symmetry. At the axes and the factorization is complete; the zones of heavy and light holes are the same as in the diamond structure. At the axes gS only a zone of heavy holes is isolated, which is again no different from that obtained from the diamond structure. Factorization of the equations for both structures in the whole of the (110) plane is performed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 3–6, November, 1982.