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Jason R. Green edited Theory.tex
over 9 years ago
Commit id: 9fda0a211af9af97ab5e8e7438aea33a4ba53e94
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\begin{equation}
k_i(t) \equiv \frac{d}{dt}\frac{1}{S(t)^{i-1}}
\end{equation}
Taking our definitions of the integrated rate law, survival function, and time dependent rate coefficient, we are able to apply them to to second order irreversible decay. The integrated
second-order rate law
in second order is
\begin{equation} gives the survival function
%\begin{equation}
% C_A(t) = \frac{C_A(0)}{1+\omega tC_A(0)}
\end{equation}
The second order survival function is %\end{equation}
\begin{equation}
S(t) = \frac{C_A(t)}{C_A(0)} = \frac{1}{1+\omega tC_A(0)}
\end{equation}