Overtone spectra of porphyrins and its substituted forms: an algebraic approach

Abstract

We introduce an algebraic model to vibrations of polyatomic Bio-molecules and present, as an example, the vibrational analysis of Cm-H, Cm-C, Cm-D, Cb-Cb, pyrrol breathing and Cb-C, stretching modes of Metalloporphyrins and its substituted forms. The excited energy levels of Cb-C, pyrrol breathing stretching modes of Ni(OEP) and Ni(OEP)-d4 are calculated by using U(2) algebraic mode Hamiltonian. The higher excited energy levels of Cm-H, Cm-C, Cm-D and Cb-Cb vibrational modes of Porphyrin and its substituted forms are predicted upto second overtone. It shows that the energy levels are clustering at the higher overtones. The results obtained by this method are accuracy with experimental data.

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Karumuri, S. , Prasad, A. , Sarkar, N. , Choudhury, J. and Bhattacharjee, R. (2010) Overtone spectra of porphyrins and its substituted forms: an algebraic approach. Journal of Biophysical Chemistry, 1, 119-132. doi: 10.4236/jbpc.2010.12015.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Iachello, F. (1981) Algebraic methods for molecular rotation-vibration spectra. Chemical Physics Letters, 78(3), 581-585.
[2] Iachello, F. and Levine, R.D. (1982) Algebraic approach to molecular rotation-vibration spectra. I. Diatomic mole- cules. Journal of Chemical Physics, 77(6), 3046-3055.
[3] Van Roosmalen, O.S., Dieperink, A.E.L. and Iachello, F. (1982) A dynamic algebra for rotation-vibration spectra of complex molecules. Chemical Physics Letters, 85(1), 32-36.
[4] Van Roosmalen, O.S., Iachello, F., Levine R.D. and Die- perink, A.E.L. (1983) Algebraic approach to molecular rotation–vibration spectra. II. Triatomic molecules. Jour- nal of Chemical Physics, 79(6), 2515-2536.
[5] Bowman, J.M., Wierzbicki, A. and Zuniga, J. (1988) Exact vibrational energies of non-rotating H2O and D2O using an accurate ab initio potential. Chemical Physics Letters, 150(3-4), 269-274.
[6] Sarkar, N.K., Choudhury, J. and Bhattacharjee, R. (2006) An algebraic approach to the study of the vibrational spectra of HCN. Molecular Physics, 104(19), 3051-3055. Sarkar, N.K., Choudhury, J. and Bhattacharjee, R. (2008) Indian Journal of Physics, 82(6), 767-772. Sarkar, N.K., Choudhury, J., Karumuri, S.R. and Bhattacharjee, R. (2009) A comparative study of the vibrational spectra of OCS and HCP using the Lie algebraic method. European Physical Journal D, 53(2), 163-171.
[7] Sarkar, N.K., Choudhury, J., Karumuri, S.R. and Bhattacharjee, R. (2008) An algebraic approach to the comparative study of the vibrational spectra of monofluo- roacetylene (HCCF) and deuterated acetylene (HCCD). Molecular Physics, 106(5), 693-702.
[8] Choudhury, J., Karumuri, S.R., Sarkar, N.K. and Bhattacharjee, R. (2008) Pramana - Journal of Physics, 71(3), 439-445. Choudhury, J., Sarkar, N.K. and Bhattacharjee, R. (2008) Indian Journal of Physics, 82(5), 561-565. Choudhury, J., Karumuri, S.R., Sarkar, N.K. and Bhattacharjee, R. (2009) Chinese Physics Letters, 26(2), 020308.
[9] Karumuri, S.R., Sarkar, N.K., Choudhury, J. and Bhattacharjee, R. (2008) Vibrational spectroscopy of Cm-H, Cβ-Cβ stretching vibrations of Nickel metalloporphyrins: An algebraic approach. Molecular Physics, 106(14), 1733- 1738. Karumuri, S.R., Choudhury, J., Sarkar, N.K. and Bhattacharjee, R. (2008) Journal of Environmental Research and Development, 3(1), 250-256. Karumuri, S.R., Sarkar, N.K., Choudhury, J. and Bhattacharjee, R. (2009) Pramana - Journal of Physics, 72(3), 517-525. Karumuri, S.R., Sarkar, N.K
[10] Iachello, F. and Oss, S. (1990) Journal of Molecular Spectroscopy, 142, 85-107. Iachello, F., Oss, S. and Lemus, R. (1991) Journal of Molecular Spectroscopy, 146, 56-78.
[11] Iachello, F., Oss, S. and Lemus, R. (1991) Journal of Molecular Spectroscopy, 149, 132-151. Wang, M.S., Ding, S.L., Feng, D.T. and Liu, H.Y. (2002) Physical Review A, 66, 022506.
[12] Van Roosmalen, O.S., Levine, R.D. and Dieperink, A.E.L. (1983) Chemical Physics Letters, 101, 512-517. Benjamin, I., Van Roosmalen, O.S. and Levine, R.D. (1984) Journal of Chemical Physics, 81, 3352. Van Roosmalen, O.S., Benjamin, I. and Levine, R.D. (1984) Journal of Chemical Physics, 81, 5986.
[13] Iachello. F and Oss, S. (1991) Physical Review Letters, 66, 2976. Iachello. F and Oss, S. (1991) Chemical Physics Letters, 187, 500-505.
[14] Alhassid, Y., Gursey, F. and Iachello, F. (1983) Annual Physics (New York), 148, 346-380. Alhassid, Y., Gursey, F. and Iachello, F. (1983) Chemical Physics Letters, 99, 7-30. Levine, R.D. (1983) Chemical Physics Letters, 95, 87-90.
[15] Child, M.S. and Halonen, L.O. (1984) Overtone frequencies and intensities in the local mode picture. Advances in Chemical Physics, 57, 1-58.
[16] Halonen, L. and Child, M.S. (1983) Model stretching overtone eigenvalues for SF6, WF6, and UF6. Journal of Chemical Physics, 79(2), 559-570.
[17] Li, X.-Y., Czernuszewicz, R.S., Kincaid, J.R., Stein, P. and Spiro, T.G., (1990) Journal of Physical Chemistry, 94, 47. Kitagawa, T., Abe, M. and Ogoshi, H. (1978) Journal of Chemical Physics, 69(10), 4516. Czernuszewicz, R.S., Macor, K.A., Li, X.-Y., Kincaid, J.R. and Spiro, T.G. (1989) Journal of the American Chemical Society, 111, 3860.

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