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Fick Diffusion

Description

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. Fick’s law for diffusion has the form:

\[Gamma(Q) = D \cdot Q^{2},\]

where \(D=\langle l^{2} \rangle \cdot \frac{Q^2}{6} \cdot tau\)

Properties (fitting parameters)

Name Default Description
D 1.0 Diffusion constant

Categories: FitFunctions | QuasiElastic

Source

Python: FickDiffusion.py