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FmuF.rst

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FmuF

.. index:: 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.

/images/FmuF.png
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References

[1] J.H.Brewer et al., PRB 33 11 (1986).

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