Difference between revisions of "CR72"

From relax wiki
Jump to navigation Jump to search
m
Line 1: Line 1:
 
The Carver and Richards 1972 2-site relaxation dispersion model for [[SQ CPMG-type data]] for most time scales whereby the simplification $R_{2A}^0$ = $R_{2B}^0$ is assumed.  This model is labelled as '''CR72''' in [[Relaxation dispersion citation for relax|relax]].
 
The Carver and Richards 1972 2-site relaxation dispersion model for [[SQ CPMG-type data]] for most time scales whereby the simplification $R_{2A}^0$ = $R_{2B}^0$ is assumed.  This model is labelled as '''CR72''' in [[Relaxation dispersion citation for relax|relax]].
 +
 +
== Equation ==
 +
<math>
 +
\mathrm{R}_{1\rho}= \mathrm{R}_1\cos^2\theta + \left( \mathrm{R}_{1\rho}{´} + \frac{\Phi_\textrm{ex} \textrm{k}_\textrm{ex}}{\textrm{k}_\textrm{ex}^2 + \omega_\textrm{e}^2} \right) \sin^2\theta
 +
</math>
  
 
== Parameters ==
 
== Parameters ==

Revision as of 15:24, 28 April 2014

The Carver and Richards 1972 2-site relaxation dispersion model for SQ CPMG-type data for most time scales whereby the simplification $R_{2A}^0$ = $R_{2B}^0$ is assumed. This model is labelled as CR72 in relax.

Equation

[math] \mathrm{R}_{1\rho}= \mathrm{R}_1\cos^2\theta + \left( \mathrm{R}_{1\rho}{´} + \frac{\Phi_\textrm{ex} \textrm{k}_\textrm{ex}}{\textrm{k}_\textrm{ex}^2 + \omega_\textrm{e}^2} \right) \sin^2\theta [/math]

Parameters

The CR72 model has the parameters {$R_2^0$, $...$, $p_A$, $\Delta\omega$, $k_{ex}$}.

Reference

The reference for the CR72 model is:

  • Carver, J. and Richards, R. (1972). General 2-site solution for chemical exchange produced dependence of T2 upon Carr-Purcell pulse separation. J. Magn. Reson., 6(1), 89-105. (10.1016/0022-2364(72)90090-X).

Related models

The CR72 model is a parametric restriction of the CR72 full model.

Links

The implementation of the CR72 model in relax can be seen in the:

See also