--- trunk/nonperiodicVSS/nonperiodicVSS.tex 2013/08/26 16:45:06 3940 +++ trunk/nonperiodicVSS/nonperiodicVSS.tex 2013/09/02 20:34:55 3943 @@ -240,16 +240,27 @@ Another useful quantity is the friction factor $f$, or Another useful quantity is the friction factor $f$, or the friction coefficient of a non-spherical shape divided by the friction coefficient of a sphere of equivalent volume. The nanoparticle and ellipsoidal nanorod dimensions used here were specifically chosen to create structures with equal volumes. \begin{longtable}{lccccc} -\caption{Calculated ``slip'' interfacial friction coefficients ($\kappa$) and friction factors ($f$) of gold nanostructures solvated in TraPPE-UA hexane. The ellipsoid is oriented with the long axis along the $z$ direction.} +\caption{Calculated ``stick'' interfacial friction coefficients ($\kappa$) and friction factors ($f$) of gold nanostructures solvated in TraPPE-UA hexane. The ellipsoid is oriented with the long axis along the $z$ direction.} \\ \hline \hline {Structure} & {Axis of rotation} & {$\kappa_{VSS}$} & {$\kappa_{calc}$} & {$f_{VSS}$} & {$f_{calc}$}\\ -{} & {} & {\small($10^4$ Pa s m$^{-1}$)} & {\small($10^4$ Pa s m$^{-1}$)} & {} & {}\\ \hline -{Sphere} & {$x = y = z$} & {} & {} & {1} & {1}\\ -{Prolate Ellipsoid} & {$x = y$} & {} & {} & {} & {}\\ -{Prolate Ellipsoid} & {$z$} & {} & {} & {} & {}\\ \hline \hline +{} & {} & {\small($10^{-29}$ Pa s m$^{3}$)} & {\small($10^{-29}$ Pa s m$^{3}$)} & {} & {}\\ \hline +{Sphere} & {$x = y = z$} & {} & {5.37237} & {1} & {1}\\ +{Prolate Ellipsoid} & {$x = y$} & {} & {3.59881} & {} & {0.768726}\\ +{Prolate Ellipsoid} & {$z$} & {} & {9.01084} & {} & {1.92477}\\ \hline \hline \label{table:interfacialfriction} \end{longtable} +\begin{longtable}{lccc} +\caption{Calculated ``slip'' interfacial friction coefficients ($\kappa$) and friction factors ($f$) of gold nanostructures solvated in TraPPE-UA hexane. The ellipsoid is oriented with the long axis along the $z$ direction.} +\\ \hline \hline +{Structure} & {Axis of rotation} & {$\kappa_{VSS}$} & {$\kappa_{calc}$}\\ +{} & {} & {\small($10^{-29}$ Pa s m$^{3}$)} & {\small($10^{-29}$ Pa s m$^{3}$)}\\ \hline +{Sphere} & {$x = y = z$} & {} & {0}\\ +{Prolate Ellipsoid} & {$x = y$} & {} & {0}\\ +{Prolate Ellipsoid} & {$z$} & {} & {7.9295392}\\ \hline \hline +\label{table:interfacialfriction} +\end{longtable} + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % **DISCUSSION** %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%