Nonlinear Vibrational Mode of Molecule with Octahedral Configuration

2025/07/31 by Jingzhou Liu, Liu, Jingzhou · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mechanical and Optical Resonators #Nonlinear Optical Materials Research #Photonic and Optical Devices

paper · pdf · doi:10.48550/arxiv.2507.23720

openalex publication_date 2025/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we investigate the nonlinear dynamics of molecules with an octahedral configuration, with particular focus on sulfur hexafluoride SF6. Under the assumption of isotypic nonresonance, we apply the method of equivariant gradient degree to prove the existence of branches of periodic solutions emerging from the critical orbit of equilibrium, corresponding to at least 16 distinct types of symmetries with maximal orbit kinds. Numerical animations are presented to illustrate the detected vibrational modes.

Citations

• Subharmonic Solutions In Reversible Non-Autonomous Differential Equations
• Dihedral Molecular Configurations Interacting by Lennard-Jones and\n Coulomb Forces
• Existence and stability of bushes of vibrational modes for octahedral mechanical systems with Lennard-Jones potential

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• Existence and stability of bushes of vibrational modes for octahedral mechanical systems with Lennard-Jones potential