.. index:: ZFprotonDipole
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)
B_\text{D}= \begin{cases} \frac{2\mu_p\mu_n}{r^3}, & r > 0 \\ 0 , & r = 0 \end{cases}
where,
A_0 is the amplitude,
\lambda (MHz) is the relaxation rate,
B_\text{D} (G) is the dipolar field,
r (Armstrong) is the radius,
\mu_p is the proton moment,
and \mu_n is the proton moment.
.. 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("ZFprotonDipole") fig, ax=plt.subplots() ax.plot(x, y(x)) ax.set_xlabel('t($\mu$s)') ax.set_ylabel('A(t)')
.. attributes::
.. properties::
[1] F.L. Pratt, Physica B 289-290, 710 (2000).
.. categories::
.. sourcelink::