Reassignment of the Vibronic Structure in the Absorption Spectrum of Carbon Cluster Anion C6– Exhibiting Fast Radiative Cooling

19 May 2025, Version 1
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

Linear carbon cluster anions, such as C6–, have been considered to be promising candidate interstellar molecules. Recent experiments have demonstrated that in a collision-free vacuum environment, C6 exhibits fast radiative cooling from its highly vibrationally excited states through inverse internal conversion (IIC). Since IIC is driven by vibronic coupling, understanding of vibronic structures of C6– is of theoretical significance. Here, we utilize time-dependent density functional theory to calculate the absorption spectrum of C6–, allowing us to reassign the peaks in the experimental spectrum to the vibronic progressions associated with the C2Πg ← X2Πu and D2Πg ← X2Πu electronic transitions. A vibronic coupling density analysis reasonably explains the strong vibronic peaks and validates the reassignment. We also discuss the potential softening caused by quadratic vibronic coupling in the excited states and the partially allowed vibronic transitions. Additionally, we show that a pseudo-Jahn–Teller distortion occurs along the ν4(σu+) antisymmetric stretching mode due to the pseudo-degeneracy of the A and B states.

Keywords

Recurrent Fluorescence
Vibronic Coupling
Density Functional Theory
Pseudo-Jahn–Teller Effect
Potential Softening

Supplementary materials

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Title
Supplementary Material
Description
Pseudo-Jahn–Teller effect; vibronic coupling density analysis; benchmarking of functionals for calculation of absorption spectrum; optimized structure of C6–; normal vibrational modes of C6–; Franck–Condon states of C6–; Franck–Condon transitions associated with non-totally symmetric modes; the PJT effect in potential softening in the C2Πg state along the ν9(πu) mode; frequency change by QVCC difference; electronic configurations of C6–; QVCD analysis for the C2Πg state and the π modes of C6–; adiabatic excitation energy of the D2Πg and E2Πg states.
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