Absorption Coefficients of the Methane-Nitrogen Binary Ice System: Implications for Pluto

The methane-nitrogen phase diagram of Prokhvatilov and Yantsevich (1983) indicates that at temperatures relevant to the surfaces of icy dwarf planets like Pluto, two phases contribute to the methane absorptions: nitrogen saturated with methane $\bf{\bar{N_{2}}}$:CH$_{4}$ and methane saturated with nitrogen $\bf{\bar{CH_{4}}}$:N$_{2}$. No optical constants are available so far for the latter component limiting construction of a proper model, in compliance with thermodynamic equilibrium considerations. New optical constants for solid solutions of methane diluted in nitrogen (N$_{2}$:CH$_{4}$) and nitrogen diluted in methane (CH$_{4}$:N$_{2}$) are presented at temperatures between 40 and 90 K, in the wavelength range 1.1-2.7 $\mu$m at different mixing ratios. These optical constants are derived from transmission measurements of crystals grown from the liquid phase in closed cells. A systematic study of the changes of methane and nitrogen solid mixtures spectral behavior with mixing ratio and temperature is presented.