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ChudleyElliot.rst

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Chudley-Elliot

.. index:: 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.

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References

[1]C T Chudley and R J Elliott 1961 Proc. Phys. Soc. 77 353
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