= Arrhenius plot
{c}
{title2=$\ln(k/k_{\mathrm{ref}})\ \text{against}\ 1/T$}
{wiki}
An <Arrhenius plot> places $\ln(k/k_{\mathrm{ref}})$ against $1/T$, using a fixed reference <rate constant> with the same units as $k$. Under the constant-parameter <Arrhenius equation>,
$$
\ln\frac{k(T)}{k_{\mathrm{ref}}}
=\ln\frac{A}{k_{\mathrm{ref}}}-\frac{E_a}{R}\frac1T.
$$
The slope is $-E_a/R$ and the intercept is $\ln(A/k_{\mathrm{ref}})$. Changing the reference units shifts the intercept but leaves the slope unchanged. If the horizontal coordinate is displayed in $10^{-3}\,\mathrm{K^{-1}}$, its numerical slope must be rescaled before multiplying by $-R$. A temperature-dependent <pre-exponential factor> or <activation energy> can make the plot curved.
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