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FmuF¶
Description¶
A fitting function for muon-fluorine bonds in ionic crystals.
\[A(t)=A_0e^{-\frac{(\sigma t)^2}{2}}e^{-\lambda t}G(t)\]
where,
\(\lambda\) is the exponential decay rate,
\(\sigma\) is the Gaussian decay rate,
\(\omega_D\) (rad/s) is the dipolar interaction angular frequency,
and the expression for \(G(t)\) and \(\omega_D\) are given by
\[G(t)=\frac{1}{6}\left[3+\cos(\sqrt{3} \omega_\text{D} t)+\left(1-\frac{1}{\sqrt{3}}\right)\cos(\frac{3-\sqrt{3}}{2}\omega_\text{D} t)+\left(1+\frac{1}{\sqrt{3}}\right)\cos(\frac{3+\sqrt{3}}{2}\omega_\text{D} t)\right]\]
and
\[\omega_D = 2\pi\nu\]
where \(\nu\) (MHz) is the dipolar interaction frequency.
Properties (fitting parameters)¶
Name |
Default |
Description |
---|---|---|
A0 |
0.5 |
Amplitude |
FreqD |
0.2 |
Dipolar interaction frequency (MHz) |
Lambda |
0.1 |
Exponential decay rate |
Sigma |
0.2 |
Gaussian decay rate |
References¶
[1] J.H.Brewer et al., PRB 33 11 (1986).
Categories: FitFunctions | Muon\MuonSpecific
Source¶
Python: FmuF.py