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Chudley-Elliot¶
Description¶
Models the Q dependence of the QENS line width (Gamma (hwhm)), diffusion coefficients (D), residence times (tau) and jump lengths (length) to extract the associated long range diffusive motions of molecules.
The Chudley-Elliot Jump diffusion model [1] has the form:
\[HWHM(Q) = \frac{\hbar}{\tau} \cdot \left(1 - \frac{sin(Ql)}{Ql}\right)\]
Units of \(l\) are inverse units of \(Q\).
Units of \(HWHM\) are \(meV\) if units of \(\tau\) are ps. Alternatively, units of \(HWHM\) are \(\mu eV\) if units of \(\tau\) are ns.
Properties (fitting parameters)¶
Name |
Default |
Description |
|---|---|---|
Tau |
1.0 |
Residence time |
L |
1.5 |
Jump length |
References¶
Categories: FitFunctions | QuasiElastic
Source¶
Python: ChudleyElliot.py