Spectroscopic Studies on Distorted Structure Nanomolecules by Using Lie Algebraic Model

• Authors: S. Rao Karumuri , K. Girija Sravani , J. Vijayshekar , L. Reddy
• Languages of publication: EN

Abstracts

EN

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 = E_0 + ∑_{i = 1}^{n} A_{i} C_{i} + ∑_{i < j}^{n} A_{ij} C_{ij} + ∑_{i < j}^{n} λ_{ij} M_{ij}}. By using the Lie algebraic method, the stretching vibrational energies of fullerene (C_{80}) 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 (C_{80}) accurately.

Keywords

EN

03.65.Fd; 07.57.-c; 02.20.Sv; 78.30.Na

Discipline

• 07.57.-c: Infrared, submillimeter wave, microwave and radiowave instruments and equipment(for infrared and radio telescopes, see 95.55.Cs, 95.55.Fw, and 95.55.Jz in astronomy; for biophysical spectroscopic applications, see 87.64.-t)
• 02.20.Sv: Lie algebras of Lie groups
• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 78.30.Na: Fullerenes and related materials

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 49-52

Dates

published

2012-07

received

2011-09-20

(unknown)

2012-04-24

Contributors

author

S. Rao Karumuri

• Department of Electronics and Instrumentation, Lakireddy Bali Reddy College of Engineering, Mylavaram, Andhra Pradesh, India

author

K. Girija Sravani

• Department of Electronics & Communication, Lingaya's Institute of Management & Technology, Andhra Pradesh, India

author

J. Vijayshekar

• Department of Mathematics, GITAM University, Hyderabad, Andhra Pradesh, India

author

L. Reddy

• Department of Computer Science & Engineering, Lakireddy Bali Reddy College of Engineering, Mylavaram, Andhra Pradesh, India

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Identifiers

DOI

10.12693/APhysPolA.122.49