.. index:: Hall-Ross
Models the Q dependence of the QENS line width (Gamma (hwhm)), diffusion coefficients (D), residence times (tau) and jump lengths (l) to extract the associated long range diffusive motions of molecules.
The Hall-Ross Jump diffusion model [1] has the form:
Gamma(Q) = \frac{\hbar}{\tau} \cdot (1-\exp(-\frac{l^2 Q^2}{2}))
Units of l are inverse units of Q.
Units of Gamma are meV if units of \tau are ps. Alternatively, units of Gamma are \mutau` are ns.
Mean square diffusion jump length = 3 l^2 \ \AA^2.
Diffusion coefficient D = \frac{l^2}{2 \tau} \ \AA^2 ps^{-1}.
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