Spectroscopic Studies on Distorted Structure Nanomolecules by Using Lie Algebraic Model
S. Rao Karumuria, K. Girija Sravanib, J. Vijayshekarc and L.S.S. Reddyd
aDepartment of Electronics and Instrumentation, Lakireddy Bali Reddy College of Engineering, Mylavaram, Andhra Pradesh, India
bDepartment of Electronics & Communication, Lingaya's Institute of Management & Technology, Andhra Pradesh, India
cDepartment of Mathematics, GITAM University, Hyderabad, Andhra Pradesh, India
dDepartment of Computer Science & Engineering, Lakireddy Bali Reddy College of Engineering, Mylavaram, Andhra Pradesh, India
Received: September 20, 2011; In final form: April 24, 2012
Full Text PDF
We have applied Lie algebraic model to distorted structure molecules to determine the vibrational spectra of different stretching and bending vibrational modes. The the Lie algebraic model of the Hamiltonian expression is H = E0 + ∑i = 1n Ai Ci + ∑i < jn Aij Cij + ∑i < jn λij Mij. By using the Lie algebraic method, the stretching vibrational energies of fullerene (C80) are calculated in the one-dimensional [U(2)] framework. Using the model Hamiltonian so constructed, we have calculated the local mode vibrational energy levels of the fullerene (C80) accurately.
DOI: 10.12693/APhysPolA.122.49
PACS numbers: 03.65.Fd, 07.57.-c, 02.20.Sv, 78.30.Na