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A quantum rate theory is evaluated for the isoenergetic relaxation in symmetrical microscopical systems. Three different approximations for the rate expression are presented which base on a transport theoretical concept of Fong [32], the isolated system approximation (ISR), the measurement time approximation (MT) and the first passage time approximation (FPT). The theoretical rate expressions are applied for the determination of the diffusion mechanism of hydrogen and deuterium in niobium. Only the rates obtained with the aid of the measurement time approximation are in sufficient agreement with experiments in this special case.
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Jürgen Brickmann (1980) studied this question.
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