| 551 |
|
the later time indicates that the solvent molecule has migrated into |
| 552 |
|
the bulk, and this configuration contributes a $0$. A steep decay in |
| 553 |
|
$C(t)$ indicates a high turnover rate of solvent molecules from the |
| 554 |
< |
chain region to the bulk. % The correlation function is easily fit |
| 555 |
< |
% using a biexponential, |
| 556 |
< |
% \begin{equation} |
| 557 |
< |
% C(t) = A \, e^{-t/\tau_{short}} + (1-A) e^{-t/\tau_{long}} |
| 558 |
< |
% \label{eq:biexponential} |
| 559 |
< |
% \end{equation} |
| 560 |
< |
% to determine short and long residence timescales and the relative populations of solvent molecules that can escape rapidly. |
| 561 |
< |
We define the escape rate for trapped solvent molecules at the interface as |
| 554 |
> |
chain region to the bulk. We define the escape rate for trapped solvent molecules at the interface as |
| 555 |
|
\begin{equation} |
| 556 |
|
k_{escape} = \left( \int_0^T C(t) dt \right)^{-1} |
| 557 |
|
\label{eq:mobility} |
| 564 |
|
decreases as the percentage of long thiolate chains increases. |
| 565 |
|
|
| 566 |
|
\begin{figure} |
| 567 |
< |
\includegraphics[width=\linewidth]{figures/timelapse3} |
| 567 |
> |
\includegraphics[width=\linewidth]{figures/timelapse} |
| 568 |
|
\caption{} |
| 569 |
|
\label{fig:timelapse} |
| 570 |
|
\end{figure} |
