The Hall coefficient in a many-valley semiconductor is calculated for high electric fields and is shown to be independent of the electric field. For silicon we find R₁₀₀R₁₁₁=0.9 and R₁₁₀R₁₁₁=0.85, where R₁₀₀ is the Hall coefficient for the current in the [100] direction, etc. For germanium we find R₁₁₁R₁₀₀=0.68. Distribution functions for hot electrons in high magnetic fields are calculated at high and low temperatures for acoustical phonon scattering.
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H. F. Budd (1963) studied this question.
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