ElasticDiffRotDiscreteCircle

Description

Summary

This fitting function models the elastic part of the dynamics structure factor of a particle undergoing discrete jumps on N-sites evenly distributed in a circle. The particle can only jump to neighboring sites. This is the most common type of discrete rotational diffusion in a circle.

S(Q,E) \equiv = \int e^{-iEt/\hbar} I(Q,t) dt = A_0(Q,r) \delta (E)

A_0(Q,r) = \frac{1}{N} \sum_{k=1}^{N} j_0( 2 Q r sin(\frac{\pi k}{N}) )

This function makes up the elastic part of DiffRotDiscreteCircle.

Attributes (non-fitting parameters)

Name Type Default Description
N      
Q      
WorkspaceIndex      

N (integer, default=3) number of sites - Q (double, default=0.5) Momentum transfer

Properties (fitting parameters)

Name Default Description
Height 1.0 Scaling factor to be applied to the resolution.
Centre 0.0 Shift along the x-axis to be applied to the resolution.
Radius 1.0 Circle radius [Angstroms]

Categories: FitFunctions | QuasiElastic

Source

C++ source: ElasticDiffRotDiscreteCircle.cpp (last modified: 2019-06-04)

C++ header: ElasticDiffRotDiscreteCircle.h (last modified: 2018-10-05)