Interpretation of the pressure-induced Raman frequency shift of the ν1 stretching bands of CH4 and N2 within CH4–CO2, N2–CO2 and CH4–N2 binary mixtures

Abstract

The relationships between the frequency shift of the ν₁ stretching bands of CH₄ and N₂ with pressure (or density) and composition have been previously provided in the literature as reliable parameters for accurate empirical barometers and densimeters for the direct determination of the pressure or density of gas mixtures. However, the latter results still remain a pure description of the experimental data without any interpretation of the physical mechanisms hidden behind the variation trend of the observed peak position. The present paper is devoted to interpreting the origin of the pressure-induced vibrational frequency shifts of the ν₁ stretching bands of CH₄ and N₂ within CH₄–CO₂, N₂–CO₂ and CH₄–N₂ binary mixtures at the molecular level. Two different theoretical models (i.e., the Lennard–Jones 6-12 potential approximation – LJ, and the generalized perturbed hard-sphere fluid – PHF) are used to intuitively and qualitatively assess the variation trend as well as the magnitude of the frequency shift of the CH₄ and N₂ν₁ bands for an in-depth understanding. Thereby, the contribution of the attractive and repulsive solvation-mean forces to the variation of the Raman frequency shift as a function of pressure and composition is assessed. A predictive model of the variation trend of the frequency shift of the CH₄ν₁ band as a function of pressure (up to 3000 bars), density and composition within CH₄–N₂ and CH₄–CO₂ binary mixtures is then provided.