deletions | additions       diff --git a/section_Methods_In_the_past__.tex b/section_Methods_In_the_past__.tex  index 14702cf..0f8d7cc 100644  --- a/section_Methods_In_the_past__.tex  +++ b/section_Methods_In_the_past__.tex 
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\[\delta - \delta_0\ = (\alpha-1)ln\bigg[\frac{q}{q_0}\bigg]\]   or  \[\R = R_0.f^{(\alpha_e-1)}\]  \textbf{Super Rayleigh???}  The idea of super rayleigh produces isotopic ratios that fall below open rayleigh models in $\delta$.H_2O space. \citet{Noone_2012} and \citet{Worden_2007} argued that this is caused by mixing between vapour evaporated from falling rain drops and ambient vapour. \citet{Noone_2012} showed that an increase in $\alpha$ as the rain re-evaporates would lead to this super rayleigh curve -> the slope of $\delta$.H_2O space is steeper than an open rayleigh system where $\alpha$ is smaller. Simply they suggested:  \[\alpha = (1+\phi)\alpha_e\]