Generalized Brooks’ formula and the electron mobility in SixGe1−x alloys

Abstract
A formula for alloy‐scattering‐limited electron mobility in semiconductors is obtained for indirect gap systems with multiple band minima. All the input parameters needed are defined explicitly. The drift mobility of SixGe1−x which has a dip at x ∼0.13 and a broader minimum at x ∼0.5 is calculated by adding alloy scattering to other scattering mechanisms and correlates well with the measured Hall mobility.