Local temperature exponent of a thermonuclear reaction
= Local temperature exponent of a thermonuclear reaction
{title2=$d\log\lambda/d\log T=(\eta-2)/3$}
If a charged-particle rate coefficient has $\lambda\propto\eta^2e^{-\eta}$ with $\eta\propto T^{-1/3}$, its logarithmic <temperature> derivative is $(\eta-2)/3$. This is a local slope evaluated at fixed composition. It increases as <temperature> falls, so extrapolating a single power law across a large <temperature> range can be inaccurate.