Author: bugman
Date: Fri May 9 09:47:59 2014
New Revision: 23120
URL: http://svn.gna.org/viewcvs/relax?rev=23120&view=rev
Log:
Clean ups of the Carver and Richards descriptions.
This is for the B14 model (http://wiki.nmr-relax.com/B14) section of the
dispersion chapter of the
manual.
Modified:
trunk/docs/latex/dispersion.tex
Modified: trunk/docs/latex/dispersion.tex
URL:
http://svn.gna.org/viewcvs/relax/trunk/docs/latex/dispersion.tex?rev=23120&r1=23119&r2=23120&view=diff
==============================================================================
--- trunk/docs/latex/dispersion.tex (original)
+++ trunk/docs/latex/dispersion.tex Fri May 9 09:47:59 2014
@@ -634,7 +634,7 @@
The term $p_D$ is based on product of the off diagonal elements in the CPMG
propagator, see supplementary Section 3, \citet{Baldwin2014}.
-It is interesting to consider the region of validity of the Carver Richards
result. The two results are equal when the correction is zero, which is true
when
+It is interesting to consider the region of validity of the Carver and
Richards result. The two results are equal when the correction is zero, which
is true when
\begin{equation}
\sqrt{v_{1c}^2-1} \approx v_2 + 2k_{\textrm{AB}}p_D .
\end{equation}
@@ -642,8 +642,8 @@
This occurs when $k_{\textrm{AB}}p_D$ tends to zero, and so $v_2=v_3$.
Setting $k_{\textrm{AB}}p_D$ to zero, amounts to neglecting magnetisation
that starts on the ground state ensemble and end on the excited state
ensemble and vice versa.
This will be a good approximation when $p_A \gg p_B$.
-In practise, significant deviations from the Carver Richards equation can be
incurred if $p_B > 1$\%.
-Incorporation of the correction term, results in an improved description of
the CPMG experiment over the Carver Richards equation
\citet{CarverRichards72}.
+In practise, significant deviations from the Carver and Richards equation
can be incurred if $p_B > 1$\%.
+Incorporation of the correction term, results in an improved description of
the CPMG experiment over \citet{CarverRichards72}.
The reference for this equation is:
\begin{itemize}
r23120 - /trunk/docs/latex/dispersion.tex