A five-level $\overrightarrow{\mathrm{k}}·\overrightarrow{\mathrm{p}}$ analysis is used to compute the principal effective-mass parameters at $k=0\mathrm{}$ in diamond- and zinc-blende-type semiconductors. A semiempirical model is developed to describe the dependence of the momentum matrix elements on lattice constant, ionicity, and $d$-electron shells in the cores. Satisfactory agreement with available experimental data is achieved with six fitted parameters.

• Received 15 July 1971

DOI:https://doi.org/10.1103/PhysRevB.4.3460