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Ref [4], Equation 43. $R_{\text{eff}} = R_{1\rho} / \sin^2(\theta) - R_1 / \tan^2(\theta)$ <br>
Ref [5], Material and Methods, page 740. Figure 4 would be the wished graphs. Here the calculated value is noted as: R_2: $R_{2} = R^{0}_2 + R_{ex}$
Discussion: <br>
It is clear that there is no real name for the pseudo-parameter. It looks like that R_eff was Art's original way of denoting this and that he has now changed to R2 instead. <br>
But if one look at the reference for the TP02 dispersion model [[TP02]], one will see yet another notation:
# Trott, O. and Palmer, 3rd, A. G. (2002). R1rho relaxation outside of the fast-exchange limit. J. Magn. Reson., 154(1), 157–160. (http://dx.doi.org/10.1006/jmre.2001.2466).
Here R2 does not contain the Rex contribution. Also, Reff is absent of Rex. <br>
But in Art's Protein Science paper, the definition $R_{2} = R^{0}_2 + R_{ex}$ is used. The MP05 model reference also does not use Reff [[MP05]].
# $R_2 = R^{0}_2 + R_{ex} = R_{1\rho}' + R_{ex} = R_{1\rho} / \sin^2(\theta) - R_1 / \tan^2(\theta)$