Coherent quasielastic nuclear resonant scattering

The experimentally measured quantity in a scattering experiment is the dynamic structure factor S(q, co), describing the probability for the photon to acquire a momentum transfer q = k — koandan energy transfer o) = )o — o). In 1954, Van Hove demonstrated that the dynamic structure factor, known as the scattering function, relates to the probability G (r, t) for finding any particle at position r and time t when the particle was at r = 0 and t = 0 before by a spatial and temporal Fourier transforms [89]  

t) stands for the Van Hove correlation function. This relation underlies all modern scattering experiments. 

In a nuclear resonant scattering, the measured intermediate scattering function S(q, t) is defined as a single Fourier transform of the correlation function in space  

In kinematic approximation, S(q, t) is determined from the measured nuclear resonant scattering intensity l(q, t)  

Assuming Markovian diffusion on a Bravais single-crystalline lattice, the intermediate scattering function is given by 

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