Abstract
The availability of tunable synchrotron radiation sources with millivolt resolution has opened new prospects for exploring dynamics of complex systems with Mössbauer spectroscopy. Early Mössbauer treatments and moment sum rules are extended to treat inelastic excitations measured in synchrotron experiments, with emphasis on the unique new conditions absent in neutron scattering and arising in resonance scattering: prompt absorption, delayed emission, recoil-free transitions and coherent forward scattering. The first moment sum rule normalizes the inelastic spectrum. New sum rules obtained for higher moments include the third moment proportional to the second derivative of the potential acting on the Mössbauer nucleus and independent of temperature in the the harmonic approximation.
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Lipkin, H.J. Mössbauer sum rules for use with synchrotron sources. Hyperfine Interactions 123, 349–366 (1999). https://doi.org/10.1023/A:1017019822825
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DOI: https://doi.org/10.1023/A:1017019822825