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A rigorous method is presented to obtain the velocity distribution function F(c, θ) for free electrons in gases in quasistationary and quasiuniform cases. It is based on the introduction of a particular distribution function f₀(c₀) relevant to the "initial" speeds of successive paths taken by an electron. The "usual" distribution function F(c, θ) can then be obtained from the "initial" distribution function f₀(c₀) by an integration.
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G. Cavalleri (1969) studied this question.
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