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# ElasticDiffSphere¶

## Description¶

This fitting function models the elastic part of the dynamics structure factor of a particle undergoing continuous diffusion but confined to a spherical volume, ElasticDiffSphere.

$S(Q,E\equiv \hbar \omega) = (3 \frac{j_1(QR)}{QR})^2(Q\cdot R) \delta (\omega)$

Because of the spherical symmetry of the problem, the structure factor is expressed in terms of the $$j_l(z)$$ spherical Bessel functions.

## Attributes (non-fitting parameters)¶

Name

Type

Default

Description

Q

WorkspaceIndex

$$Q$$ (double, default=1.0) 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.