Author: bugman
Date: Tue Jul 16 09:38:41 2013
New Revision: 20315
URL: http://svn.gna.org/viewcvs/relax?rev=20315&view=rev
Log:
Added the 'NS 2-site star red' model to the relax user manual.
This is the model of the numerical solution for the 2-site Bloch-McConnell
equations using complex
conjugate matrices, whereby the simplification R20A = R20B is assumed.
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=20315&r1=20314&r2=20315&view=diff
==============================================================================
--- branches/relax_disp/docs/latex/dispersion.tex (original)
+++ branches/relax_disp/docs/latex/dispersion.tex Tue Jul 16 09:38:41 2013
@@ -102,7 +102,9 @@
\begin{description}
\item[`R2eff':]\index{relaxation dispersion!R2eff model} This is the model
used to determine the $\Rtwoeff$ values and errors required as the base data
for all other models. See Section~\ref{sect: dispersion: R2eff model} on
page~\pageref{sect: dispersion: R2eff model}.
\item[`No Rex':]\index{relaxation dispersion!No Rex model} This is the
model for no chemical exchange being present. See Section~\ref{sect:
dispersion: No Rex model} on page~\pageref{sect: dispersion: No Rex model}.
+\item[`NS 2-site star red':]\index{relaxation dispersion!NS 2-site star red
model} A model for 2-site exchange using complex conjugate matrices whereby
the simplification R20A = R20B is assumed. It has the parameters
$\{\Rtwozero, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect: dispersion:
NS 2-site star red model} on page~\pageref{sect: dispersion: NS 2-site star
red model}.
\item[`NS 2-site star':]\index{relaxation dispersion!NS 2-site star model}
A model for 2-site exchange using complex conjugate matrices with parameters
$\{\RtwozeroA, \RtwozeroB, \dots, \pA, \dw, \kex\}$. See Section~\ref{sect:
dispersion: NS 2-site star model} on page~\pageref{sect: dispersion: NS
2-site star model}.
+\end{description}
\end{description}
@@ -163,15 +165,16 @@
\caption{The analytic and numerical models for CPMG-type experiments
currently supported within relax}
\begin{tabular}{lllcll}
\toprule
-Model code & Type & Sites & Parameters
& Restriction & Reference \\
-\midrule
-R2eff & - & - & $\{\Rtwoeff, \cdots\}$
& Fixed relaxation time period & - \\
-R2eff & - & - & $\{\Rtwoeff, I_0, \cdots\}$
& Variable relaxation time period & - \\
-No Rex & - & 0 & $\{\Rtwozero, \cdots\}$
& - & - \\
-LM63 & Analytic & 2 & $\{\Rtwozero, \dots, \Phiex, \kex\}$
& Fast exchange & \citet{LuzMeiboom63} \\
-CR72 & Analytic & 2 & $\{\Rtwozero, \dots, \pA, \dw, \kex\}$
& $\pA > \pB$ & \citet{CarverRichards72} \\
-IT99 & Analytic & 2 & $\{\Rtwozero, \dots, \Phiex, \pA.\dw^2,
\kex\}$ & $\pA \gg \pB$ & \citet{IshimaTorchia99} \\
-NS 2-site star & Numeric & 2 & $\{\RtwozeroA, \RtwozeroB, \dots, \pA,
\dw, \kex\}$ & $\pA > \pB$ & - \\
+Model code & Type & Sites & Parameters
& Restriction & Reference \\
+\midrule
+R2eff & - & - & $\{\Rtwoeff, \cdots\}$
& Fixed relaxation time period & - \\
+R2eff & - & - & $\{\Rtwoeff, I_0, \cdots\}$
& Variable relaxation time period & - \\
+No Rex & - & 0 & $\{\Rtwozero, \cdots\}$
& - & - \\
+LM63 & Analytic & 2 & $\{\Rtwozero, \dots, \Phiex, \kex\}$
& Fast exchange & \citet{LuzMeiboom63} \\
+CR72 & Analytic & 2 & $\{\Rtwozero, \dots, \pA, \dw,
\kex\}$ & $\pA > \pB$ &
\citet{CarverRichards72} \\
+IT99 & Analytic & 2 & $\{\Rtwozero, \dots, \Phiex,
\pA.\dw^2, \kex\}$ & $\pA \gg \pB$ &
\citet{IshimaTorchia99} \\
+NS 2-site star red & Numeric & 2 & $\{\Rtwozero, \dots, \pA, \dw,
\kex\}$ & $\pA > \pB$ & - \\
+NS 2-site star & Numeric & 2 & $\{\RtwozeroA, \RtwozeroB, \dots,
\pA, \dw, \kex\}$ & $\pA > \pB$ & - \\
\bottomrule
\label{table: CPMG dispersion models}
\end{tabular}
@@ -346,6 +349,18 @@
\begin{itemize}
\item \bibentry{IshimaTorchia99}
\end{itemize}
+
+
+% NS 2-site star red model.
+%~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+\subsection{The NS 2-site star red CPMG model}
+\label{sect: dispersion: NS 2-site star red model}
+\index{relaxation dispersion!NS 2-site star red model|textbf}
+
+This is the numerical model for 2-site exchange using complex conjugate
matrices, whereby the simplification R20A = R20B is assumed.
+Is it selected by setting the model to `NS 2-site star red'.
+The simple constraint $\pA > \pB$ is used to halve the optimisation space,
as both sides of the limit are mirror image spaces.
% NS 2-site star model.
r20315 - /branches/relax_disp/docs/latex/dispersion.tex