Two-photon excitation for C2V molecules based on the full relativistic theory
Author(s)
Z. H. Zhu
ABSTRACT
The present work explores a new phenomenon that not all the transition probability of two photon processes is negligible at low irradiance. The irreducible representation 2B2 of C2v is unexpected, for there is no much deviation in oscillator strength for two-photon and single-photon process A1 to 2B2. This new phenomenon is only possible to be explored by the symmetrical consideration: the necessary and sufficient condition is molecular plane coincident with yz plane or the operation σ ’v(yz) for group C2v. It is only possible to be evaluated out by use of the full relativistic quantum mechanical theory.
The present work explores a new phenomenon that not all the transition probability of two photon processes is negligible at low irradiance. The irreducible representation 2B2 of C2v is unexpected, for there is no much deviation in oscillator strength for two-photon and single-photon process A1 to 2B2. This new phenomenon is only possible to be explored by the symmetrical consideration: the necessary and sufficient condition is molecular plane coincident with yz plane or the operation σ ’v(yz) for group C2v. It is only possible to be evaluated out by use of the full relativistic quantum mechanical theory.
Cite this paper
Zhu, Z. (2012) Two-photon excitation for C2V molecules based on the full relativistic theory. Natural Science, 4, 179-183. doi: 10.4236/ns.2012.43026.
Zhu, Z. (2012) Two-photon excitation for C2V molecules based on the full relativistic theory. Natural Science, 4, 179-183. doi: 10.4236/ns.2012.43026.
References
[1] Underwood, J. and Witig, C. (2004) Two-photon photo-dissociation of H2O via the state. Chemical Physics Letters, 386, 190-195. doi:10.1016/j.cplett.2004.01.030 [2] Gonc, M., Vivas, A., Luiz Silva, D., de Boni, L., Zalesny, R., Bartkowiak, W. and Mendon, C.R. (2011) Two-photon absorption spectra of carotenoids compounds. Journal of Applied Physics, 109, 103529-103537 doi:10.1063/1.3590157 [3] Zhu, Z.H. and Tang, Y.J. (2011) Spectral fine structure of the atomic ground states based on full relativistic theory. Chinese Optics Letters, 9, 010204-010208. doi:10.3788/COL201109.010204 [4] Zhu, Z.H. (1997; 2007) Atomic and molecular reaction statics. Science Press, Beijing. [5] Saue, T. and Jensen, H.J.Aa (1999) Quaternion symmetry in relativistic molecular calculations. Journal of Chemical Physics, 111, 6211-6222. doi:10.1063/1.479958 [6] Zhu, Z.H. (2007) The atomic and molecular reaction statics. Science in China Series G: Physics Mechanics and Astronomy, 50, 581-590. [7] Saue, T. and Jensen, H.J.Aa. (2003) linear response at the 4-component relativistic level. Journal of Chemical Physics, 118, 522-536. [8] Charlie, H. (1976) Introduction to mathematical physics. Prentice Hall, Inc., Engleewood Cliffs. [9] Lin, S.H., Fujimura, Y., Neusser, H.J. and Sching, E.W. (1984) Multiphoton spectroscopy of molecules. Academic Press, Inc., New York, 7-69. [10] Silver Brian L. (1976) Irreducible tensor method. Academic Press, New York, 71. [11] Nakatsuji, H. and Ehara, M. (1993) Symmetry-adapted cluster-configuration interaction method applied to high-spin multiplicity. Journal of Chemical Physics, 98, 7179- 7184. doi:10.1063/1.464709
[1] Underwood, J. and Witig, C. (2004) Two-photon photo-dissociation of H2O via the state. Chemical Physics Letters, 386, 190-195. doi:10.1016/j.cplett.2004.01.030 [2] Gonc, M., Vivas, A., Luiz Silva, D., de Boni, L., Zalesny, R., Bartkowiak, W. and Mendon, C.R. (2011) Two-photon absorption spectra of carotenoids compounds. Journal of Applied Physics, 109, 103529-103537 doi:10.1063/1.3590157 [3] Zhu, Z.H. and Tang, Y.J. (2011) Spectral fine structure of the atomic ground states based on full relativistic theory. Chinese Optics Letters, 9, 010204-010208. doi:10.3788/COL201109.010204 [4] Zhu, Z.H. (1997; 2007) Atomic and molecular reaction statics. Science Press, Beijing. [5] Saue, T. and Jensen, H.J.Aa (1999) Quaternion symmetry in relativistic molecular calculations. Journal of Chemical Physics, 111, 6211-6222. doi:10.1063/1.479958 [6] Zhu, Z.H. (2007) The atomic and molecular reaction statics. Science in China Series G: Physics Mechanics and Astronomy, 50, 581-590. [7] Saue, T. and Jensen, H.J.Aa. (2003) linear response at the 4-component relativistic level. Journal of Chemical Physics, 118, 522-536. [8] Charlie, H. (1976) Introduction to mathematical physics. Prentice Hall, Inc., Engleewood Cliffs. [9] Lin, S.H., Fujimura, Y., Neusser, H.J. and Sching, E.W. (1984) Multiphoton spectroscopy of molecules. Academic Press, Inc., New York, 7-69. [10] Silver Brian L. (1976) Irreducible tensor method. Academic Press, New York, 71. [11] Nakatsuji, H. and Ehara, M. (1993) Symmetry-adapted cluster-configuration interaction method applied to high-spin multiplicity. Journal of Chemical Physics, 98, 7179- 7184. doi:10.1063/1.464709