.. _func-ChudleyElliot: ============== 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: .. math:: HWHM(Q) = \frac{\hbar}{\tau} \cdot \left(1 - \frac{sin(Ql)}{Ql}\right) Units of :math:`l` are inverse units of :math:`Q`. Units of :math:`HWHM` are :math:`meV` if units of :math:`\tau` are *ps*. Alternatively, units of :math:`HWHM` are :math:`\mu eV` if units of :math:`\tau` are *ns*. .. attributes:: .. properties:: References ---------- .. [1] C T Chudley and R J Elliott `1961 Proc. Phys. Soc. 77 353 `__ .. categories:: .. sourcelink::