Effects of symmetry breaking on the translation-rotation eigenstates of H2, HF, and H2O inside the fullerene C60

Zlatko Bacic, Vojtěch Vlček, Daniel Neuhauser, Peter M. Felker

Research output: Contribution to journalArticle

Abstract

Splittings of the translation-rotation (TR) eigenstates of the solid light-molecule endofullerenes M@C60 (M = H2, H2O, HF) attributed to the symmetry breaking have been observed in the infrared (IR) and inelastic neutron scattering spectra of these species in the past couple of years. In a recent paper [Felker et al., Phys. Chem. Chem. Phys., 2017, 19, 31274], we established that the electrostatic, quadrupolar interaction between the guest molecule M and the twelve nearest-neighbor C60 cages of the solid is the main source of the symmetry breaking. The splittings of the three-fold degenerate ground states of the endohedral ortho-H2, ortho-H2O and the j = 1 level of HF calculated using this model were found to be in excellent agreement with the experimental results. Utilizing the same electrostatic model, this theoretical study investigates the effects of the symmetry breaking on the excited TR eigenstates of the three species, and how they manifest in their simulated low-temperature (5-6 K) near-IR (NIR) and far-IR (FIR) spectra. The TR eigenstates are calculated variationally for both the major P and minor H crystal orientations. For the H orientation, the calculated splittings of all of the TR levels of these species are less than 0.1 cm−1. For the dominant P orientation, the splittings vary strongly depending on the character of the excitations involved. In all of the species, the splittings of the higher rotationally excited levels are comparable in magnitude to those for the j = 1 levels. For the levels corresponding to purely translational excitations, the calculated splittings are about an order of magnitude smaller than those of the purely rotational eigenstates. Based on the computed TR eigenstates, the low-temperature NIR (for M = H2) and FIR (for M = HF and H2O) spectra are simulated for both the P and H orientations, and also combined as their weighted sum (0.15H + 0.85P). The weighted sum spectra computed for M = H2 and HF match quantitatively the corresponding measured spectra, while for M = H2O, the weighted sum FIR spectrum predicts features that can potentially be observed experimentally.

Original languageEnglish (US)
Pages (from-to)547-567
Number of pages21
JournalFaraday Discussions
Volume212
DOIs
StatePublished - Jan 1 2018

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fullerenes
broken symmetry
eigenvectors
Infrared radiation
Crystal orientation
Inelastic neutron scattering
Molecules
electrostatics
Coulomb interactions
Ground state
Electrostatics
excitation
fullerene C60
molecules
inelastic scattering
neutron scattering
infrared spectra
Temperature
ground state
crystals

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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Effects of symmetry breaking on the translation-rotation eigenstates of H2, HF, and H2O inside the fullerene C60 . / Bacic, Zlatko; Vlček, Vojtěch; Neuhauser, Daniel; Felker, Peter M.

In: Faraday Discussions, Vol. 212, 01.01.2018, p. 547-567.

Research output: Contribution to journalArticle

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