A Study of Vibrational Spectra of Fullerene C_{70} and C_{80}: An Algebraic Approach |

R. Sen
^{a}, A. Kalyan^{a}, R. Subhra Paul^{b}, N.K. Sarkar^{b} and R. Bhattacharjee^{c}^{a}Department of Physics, Srikishan Sarda College, Hailakandi-788151, India
^{b}Department of Physics, Karimganj College, Karimganj-788710, India
^{c}Department of Physics, Assam University, Silchar-788011, India |

Received: February 10, 2011; In final form: April 7, 2011 |

Full Text PDF |

Using the Lie algebraic method, the stretching vibrational energies of fullerenes C_{70} and C_{80} are calculated in the one-dimensional U(2) framework. By constructing the model Hamiltonian with the help of Casimir and Majorana invariant operators in this frame work, we calculated the local mode vibrational energy levels of the fullerenes C_{70} and C_{80}. |

DOI: 10.12693/APhysPolA.120.407 PACS numbers: 03.65.Fd, 07.57.-c, 02.20.Sv, 78.30.Na |