Exactly solvable 1D model explains the low-energy vibrational level\n structure of protonated methane

2021/02/12 by Jonathan Rawlinson, Csaba Fábri, Rawlinson, Jonathan I. +3
Physics and Astronomy · Earth and Planetary Sciences · Chemistry · #Advanced Chemical Physics Studies #Atmospheric Ozone and Climate #Molecular Spectroscopy and Structure

paper · pdf · doi:10.48550/arxiv.2102.06424

Abstract

A new one-dimensional model is proposed for the low-energy vibrational\nquantum dynamics of CH5+ based on the motion of an effective particle confined\nto a 60-vertex graph \Γ₆₀ with a single edge length parameter.\nWithin this model, the quantum states of CH5+ are obtained in analytic form and\nare related to combinatorial properties of \Γ₆₀. The bipartite\nstructure of \Γ₆₀ gives a simple explanation for curious symmetries\nobserved in numerically exact variational calculations on CH5+.\n

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