ZFdipole.rst

ZFdipole

.. index:: ZFdipole

Description

ZF PCR signal from interaction with a single dipole.

A(t)=\frac{A_0}{6}\left(1+e^{-\lambda t}\left(\cos(g_\mu B_\text{D} t)+ 2\cos(\frac{3}{2}g_\mu B_\text{D} t)+2\cos(\frac{1}{2}g_\mu B_\text{D} t)\right)\right)

where,

\lambda (MHz) is the relaxation rate,

A_0 is the amplitude,

and B_\text{D} (G) is the dipolar field.

.. 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("ZFdipole")
   fig, ax=plt.subplots()
   ax.plot(x, y(x))
   ax.set_xlabel('t($\mu$s)')
   ax.set_ylabel('A(t)')

.. attributes::

.. properties::

References

[1] F.L. Pratt, Physica B 289-290, 710 (2000).

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