ZFprotonDipole¶

Description¶

ZF PCR signal from interaction with a single dipole.

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

$B_\text{D}= \begin{cases} \frac{2\mu_p\mu_n}{r^3}, & r > 0 \\ 0 , & r = 0 \end{cases}$

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.

(Source code, png, hires.png, pdf)

Properties (fitting parameters)¶

Name	Default	Description
A0	0.5
Radius	2.0	Radius (Angstrom)
LambdaTrans	0.2	Lambda-Trans (MHz)

References¶

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

Categories: FitFunctions | MuonSpecific

Source¶

Python: ZFprotonDipole.py (last modified: 2019-11-14)