Infrared, Raman, and inelastic neutron scattering spectra of dodecahedrane: an I(h) molecule in T(h) site symmetry.

The Raman spectrum of crystalline dodecahedrane, C20H20, a species of nominal I(h) symmetry, exhibits splitting of the H(g) Raman active modes. The Raman inactive gerade vibrations of G(g), T(1g), and T(2g) symmetry are found to have weak Raman activity. The IR forbidden vibrations of T(2u), G(u), and H(u) type have moderate IR activity. All of this is consistent with the T(h) site symmetry. A treatment of the structure and vibrations of dodecahedrane using a periodic lattice DFT method results in a slightly distorted T(h) structure with six C-C bonds that are 0.001 A longer than the other 24. The vibrational spectrum computed for this structure exhibits splittings of the H(g) modes that are consistent with the observed spectra, but the computed splittings are larger than observed in room-temperature data. A complex pattern observed in the C-H stretching region is assigned. The inelastic neutron scattering spectrum calculated from the computed normal modes for the T(h) molecule in the lattice agrees quantitatively with experiment when overtone and combination transitions are included and allowance is made for anharmonicity of the C-H stretch motion. Finally, it is argued that the existing crystallographic determination of the average C-C bond length of 1.544 A is shortened by disorder and should be revised upward to agree with the computed value of 1.558 A.