.. _func-MsdGauss:

========
MsdGauss
========

.. index:: MsdGauss

Description
-----------

The Gaussian model for Mean-squared displacement fitting is defined as:

.. math::

    \mbox{Height} \cdot e^{\left(\frac{-x^2 \cdot MSD}{6}\right)}

where:
  - :math:`MSD`  is the mean squared displacement
  - :math:`Height` is the intensity scaling

Here the MSD is not the same as mean square fluctuations (MSF) which approximately
corresponds to half of the MSD in a one-dimensional harmonic system [1].

.. attributes::

.. properties::

**References**

1. Kurkal-Siebert, V. , Daniel, R. , Finney J. , Tehei, M. , Dunn, R. and Smith J. (2006) 'Enzyme hydration,
   activity and flexibility: A neutron scattering approach', *Journal of Non-Crystalline Solids*, Vol.352(42-49), pp.4387-4393


.. categories::

.. sourcelink::