SpinDiffusion¶
Description¶
The Spin diffusion fitting function, models the diffusion of isotropic muonium as a function of applied field for 1D, 2D and 3D behaviour [1]. The data fitted using this fit function is assumed to be in units of Gauss.
where:
is the zeroth order modified Bessel function. is the angular momentum ( ). is the Muon gyromagnetic ratio ( ). is the autocorrelation function, represented by an anisotropic random walk. is the spectral density ( ). It is the Fourier Transform of . is a parameter to be fitted. are the fast and slow rate dipolar terms. These are also fitting parameters.
Systems of different dimensionality
For the
Attributes (non-fitting parameters)¶
Name |
Type |
Default |
Description |
---|---|---|---|
NDimensions |
Properties (fitting parameters)¶
Name |
Default |
Description |
---|---|---|
A |
1.0 |
Amplitude, or Scaling factor |
DParallel |
1000.0 |
Dipolar parallel, the fast rate dipolar term (MHz) |
DPerpendicular |
0.01 |
Dipolar perpendicular, the slow rate dipolar term (MHz) |
References¶
Categories: FitFunctions | Muon\MuonSpecific
Source¶
Python: SpinDiffusion.py