HighTFMuonium.rst

HighTFMuonium

.. index:: HighTFMuonium

Description

Pair of high TF muonium rotation frequencies.

A(t)=\frac{A_0}{2}(\cos(\omega_1t+\phi)+\cos(\omega_2t+\phi))

where,

A_0 is the amplitude at time t=0 ,

g_\mu = 0.01355342 ,

g_e = 2.8024 ,

\omega_2 = \Omega - \omega_- ,

\omega_1 = \omega_2 + 2\pi\nu ,

\omega_- = 2\pi(g_e - g_m)B ,

\Omega = 2\pi\left(\frac{1}{2}\sqrt{(\nu^2+((g_e+g_m)B)^2)} - \frac{1}{2}\nu\right)

and \nu is the frequency (MHz).

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

.. attributes::

.. properties::

References

[1] P. Percival, Radiochimica Acta 26 1-14 (1979).

.. categories::

.. sourcelink::