Theory of Mössbauer line broadening due to correlated diffusion in crystals

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Abstract
The line‐broadening effect of correlations between successive jumps of a Mössbauer atom is investigated. The ’’encounter model’’ originally developed for nuclear‐magnetic‐resonance diffusion studies is applied to describe temporal and spatial correlations which may cause significantly smaller linewidths than a random‐walk diffusion mechanism. This straightforward analytic generalization of the random‐walk results is capable of eliminating some of the earlier discrepancies between diffusion constants determined from radio‐tracer and Mössbauer experiments.