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Velocity Shift of the Mössbauer Resonance
Phys. Rev. 126, 9 – Published 1 April, 1962
DOI: https://doi.org/10.1103/PhysRev.126.9
Abstract
The mean square velocity of an impurity atom in a crystal lattice has been evaluated in both the low and high temperature limits. The result for the high temperature limit includes the effect of force constant differences between solute and solvent atoms as well as the effect of mass difference. The effect of a mass difference alone is quite small in both the low temperature and high temperature regions. A determination of the Mössbauer peak position as a function of temperature in the high temperature range can be used to obtain a value of isomeric shift fully correct for the second order Doppler shift associated with the vibration of the atoms, In addition, if the experimental data are sufficiently precise, the effective stiffness with which the atoms are bound in the lattice may be determined. The calculation is illustrated with experimental data for dissolved in beryllium and in stainless steel.
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