Author: bugman Date: Wed Jul 31 16:56:27 2013 New Revision: 20485 URL: http://svn.gna.org/viewcvs/relax?rev=20485&view=rev Log: Added the 'TP02' model to relaxation dispersion chapter of the relax user manual. This is the Trott and Palmer 2002 R1rho analytic model for 2-site exchange. This commit follows step 2 of the relaxation dispersion model addition tutorial (http://thread.gmane.org/gmane.science.nmr.relax.devel/3907). Modified: branches/relax_disp/docs/latex/dispersion.tex Modified: branches/relax_disp/docs/latex/dispersion.tex URL: http://svn.gna.org/viewcvs/relax/branches/relax_disp/docs/latex/dispersion.tex?rev=20485&r1=20484&r2=20485&view=diff ============================================================================== --- branches/relax_disp/docs/latex/dispersion.tex (original) +++ branches/relax_disp/docs/latex/dispersion.tex Wed Jul 31 16:56:27 2013 @@ -85,6 +85,7 @@ \item[`M61':]\index{relaxation dispersion!M61 model} The \citet{Meiboom61} 2-site fast exchange equation for on-resonance data with parameters $\{\Ronerhoprime, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: M61 model} on page~\pageref{sect: dispersion: M61 model}. \item[`DPL94':]\index{relaxation dispersion!DPL94 model} The \citet{Davis94} 2-site fast exchange equation for off-resonance data with parameters $\{\Ronerhoprime, \dots, \Phiex, \kex\}$. See Section~\ref{sect: dispersion: DPL94 model} on page~\pageref{sect: dispersion: DPL94 model}. \item[`M61 skew':]\index{relaxation dispersion!M61 skew model} The \citet{Meiboom61} 2-site equation for all time scales with $\pA \gg \pB$ and with parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. This model is disabled by default in the dispersion auto-analysis. See Section~\ref{sect: dispersion: M61 skew model} on page~\pageref{sect: dispersion: M61 skew model}. +\item[`TP02':]\index{relaxation dispersion!TP02 model} The \citet{TrottPalmer02} 2-site equation for all time scales with parameters $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion: TP02 model} on page~\pageref{sect: dispersion: TP02 model}. \end{description} @@ -201,6 +202,7 @@ M61 & Analytic & 2 & $\{\Ronerhoprime, \dots, \Phiex, \kex\}$ & Fast exchange, on-resonance & \citet{Meiboom61} \\ DPL94 & Analytic & 2 & $\{\Ronerhoprime, \dots, \Phiex, \kex\}$ & Fast exchange & \citet{Davis94} \\ M61 skew & Analytic & 2 & $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$ & $\pA \gg \pB$, on-resonance & \citet{Meiboom61} \\ +TP02 & Analytic & 2 & $\{\Ronerhoprime, \dots, \pA, \dw, \kex\}$ & - & \citet{TrottPalmer02} \\ \bottomrule \label{table: R1rho dispersion models} \end{tabular} @@ -502,6 +504,19 @@ \end{equation} Care must be taken as this model appears to have infinite lines of solutions -- $\pA$ and $\dw$ are convoluted. Hence this model is disabled in the dispersion auto-analysis. + + +% TP02 model. +%~~~~~~~~~~~~ + +\subsection{The TP02 2-site fast exchange $\Ronerho$ model} +\label{sect: dispersion: TP02 model} +\index{relaxation dispersion!TP02 model|textbf} + +This is the model for 2-site fast exchange for off-resonance $\Ronerho$-type experiments from \citet{TrottPalmer02}. It is selected by setting the model to `TP02'. The equation for the exchange process is: +\begin{equation} + \Ronerho = \Rone\cos^2(\theta) + \Ronerhoprime\sin^2(\theta) + \frac{\sin^2(\theta)\pA\pB\dw^2\kex}{\kex^2 + \omgea_{beff}^2} . +\end{equation}