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

• Authors: R. Sen , A. Kalyan , R. Subhra Paul , N. Sarkar , R. Bhattacharjee
• Languages of publication: EN

Abstracts

EN

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}.

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

• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 3
• Pages: 407-411

Dates

published

2011-09

received

2011-02-10

(unknown)

2011-04-07

Contributors

author

R. Sen

• Department of Physics, Srikishan Sarda College, Hailakandi-788151, India

author

A. Kalyan

• Department of Physics, Srikishan Sarda College, Hailakandi-788151, India

author

R. Subhra Paul

• Department of Physics, Karimganj College, Karimganj-788710, India

author

N. Sarkar

• Department of Physics, Karimganj College, Karimganj-788710, India

author

R. Bhattacharjee

• Department of Physics, Assam University, Silchar-788011, India

References

• 1. R.D. Levine, C.E. Wulfman, Chem. Phys. Lett. 60, 372 (1979)
• 2. F. Iachello, Chem. Phys. Lett. 78, 581 (1981)
• 3. F. Iachello, R.D. Levine, J. Chem. Phys. 77, 3046 (1982)
• 4. F. Iachello, S. Oss, Eur. Phys. J. D 19, 307 (2002)
• 5. N.K. Sarkar, J. Choudhury, R. Bhattacharjee, Mol. Phys. 104, 3051 (2006)
• 6. N.K. Sarkar, J. Choudhury, R. Bhattacharjee, Indian J. Phys. 82, 767 (2008)
• 7. M. Ibrahim, Acta Chim. Slov. 52, 153 (2005)
• 8. M. Ibrahim, Hanan El-Haes, Chin. J. Phys. 43, 915 (2005)
• 9. D.S. Bethune, G. Meijer, W.C. Tang, H.J. Rosen, G. Golden, Chem. Phys. Lett. 179, 181 (1991)
• 10. S. Oss, Adv. Chem. Phys. 93, 455 (1996)
• 11. F. Iachello, R.D. Levine, Algebraic Theory of Molecules, Oxford University Press, Oxford 1995
• 12. F. Iachello, S. Oss, Phys. Rev. Lett. 66, 23 (1991); S.R. Karumuri, N.K. Sarkar, J. Choudhury, R. Bhattacharjee, J. Mol. Spectrosc. 255, 183 (2009)
• 13. F. Iachello, S. Oss, J. Mol. Spectrosc. 153, 225 (1992)
• 14. K. Nakamoto, Infrared and Raman Spectra of Inorganic and Coordination Compounds, Part A: Theory and Applications in Inorganic Chemistry, Wiley, New York 1997
• 15. K.P. Huber, G. Herzberg, Molecular Spectra and Molecular Structure IV: Constants of Diatomic Molecules, Van Nostrand Reinhold Co., New York 1979

Identifiers

DOI

10.12693/APhysPolA.120.407