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StretchedKT.rst

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StretchedKT

.. index:: StretchedKT

Description

For observation of muon spin relaxation MuSR spectra with lineshapes lying between a Guassian and a Lorentzian,

A(t)=A_0\left(\frac{1}{3}+\frac{2}{3}\left(1-(\sigma t)^\beta\right)e^{-\frac{(\sigma t)^\beta}{\beta}}\right)

where,

\sigma is KuboToyabe decay rate,

A_0 is the amplitude,

\beta is the stretching exponential and it ranges from 1 (neglible nuclear field) and 2 (strong nuclear field).

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.. plot::

   from mantid.simpleapi import FunctionWrapper
   import matplotlib.pyplot as plt
   import numpy as np
   x = np.arange(0.1,16,0.1)
   y = FunctionWrapper("StretchedKT")
   fig, ax=plt.subplots()
   ax.plot(x, y(x))
   ax.set_xlabel('t($\mu$s)')
   ax.set_ylabel('A(t)')

References

[1] Crook et al, J. Phys.: Condens. Matter 9 1149-1158 (1997).

[2] Lord J.S., J. Phys.: Conf. Ser. 17 81 (2005).

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