.. index:: StretchedKT
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)')
[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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