Two-photon excitation for C_{2V} 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 2B_{2} of C_{2v} is unexpected, for there is no much deviation in oscillator strength for two-photon and single-photon process A_{1} to 2B_{2}. 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 C_{2v}. 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 2B

Cite this paper

Zhu, Z. (2012) Two-photon excitation for C_{2V} 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 C

References

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[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