.. index:: AFMLF
A pair of frequencies for aligned Anti-ferrormagnetic magnetism in Longitudinal Fields.
A(t) = \frac{A_0}{2}((1-a_1)+a_1\cos(\omega_1t+\phi))+(1-a_2)+a_2\cos(\omega_2t+\phi))
where,
a_1 =\frac{(f_a\sin\theta)^2}{(f_b+f_a\cos\theta)^2+(f_a\sin\theta)^2} ,
a_2 =\frac{(f_a\sin\theta)^2}{((f_b-f_a\cos\theta)^2+(f_a\sin\theta)^2)} ,
\omega_1 = 2\pi\sqrt{f_a^2+f_b^2+2f_af_b\cos\theta} ,
\omega_2 = 2\pi\sqrt{f_a^2+f_b^2-2f_af_b\cos\theta} ,
f_a is the ZF frequency (MHz),
f_b = 0.01355 B for B is the applied field,
\theta is the angle of internal field w.r.t. to applied field,
and \phi is the phase.
.. 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("AFMLF") fig, ax=plt.subplots() ax.plot(x, y(x)) ax.set_xlabel('t($\mu$s)') ax.set_ylabel('A(t)')
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.. properties::
[1] F.L. Pratt, Physica B 289-290, 710 (2000).
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.. sourcelink::