Rotation–vibration spectra of icosahedral molecules. II. Icosahedral symmetry, vibrational eigenfrequencies, and normal modes of buckminsterfullerene
- 1 May 1989
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 90 (9) , 4744-4771
- https://doi.org/10.1063/1.456571
Abstract
The icosahedral symmetry of molecules such as buckyball, B12H12−2, and C20H20, is analyzed using subgroup chain defined projection operators. The icosahedral analysis is used to determine the eigenvalues and eigenvectors of a classical spring mass model of buckyball. A spectrum of Raman and dipole active modes is given using the spring constants of benzene. Corresponding dipole active and Raman active normal modes are displayed stereographically. Several choices for springs constants are discussed and a comparison with spring mass systems of reduced symmetry is made.Keywords
This publication has 21 references indexed in Scilit:
- Rotation–vibration spectra of icosahedral molecules. I. Icosahedral symmetry analysis and fine structureThe Journal of Chemical Physics, 1989
- Photophysics of metal complexes of spheroidal carbon shellsJournal of the American Chemical Society, 1988
- The Structure of PoliovirusScientific American, 1987
- Resonance in C60 buckminsterfullereneJournal of the American Chemical Society, 1986
- Total synthesis of dodecahedraneJournal of the American Chemical Society, 1983
- Comparative x-ray crystal structure analysis of C2v-dimethylmonosecododecahedrane and D3d-dimethyldodecahedrane. The remarkable consequences of a missing framework bond on molecular topologyJournal of the American Chemical Society, 1982
- Theoretical studies of dodecahedrane. 3. Ab initio studies of dodecahedrane and its inclusion compoundsJournal of the American Chemical Society, 1981
- Theoretical studies of dodecahedrane. 2. Dodecahedrane, inclusion compounds, and fluorine derivativesJournal of the American Chemical Society, 1978
- Chemistry of Boranes. III.1 The Infrared and Raman Spectra of B12H12 - and Related AnionsJournal of the American Chemical Society, 1962
- STRUCTURE OF B12H12-2 IONJournal of the American Chemical Society, 1960