1978
DOI: 10.1098/rspa.1978.0174
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The theory of molecular two-photon spectroscopy in the gas phase

Abstract: We present here a detailed theoretical development of two-photon absorption (TPA) in the gas phase including rotational effects. A general formula for the transition probabilities between rovibronic states is derived in the rigid rotor approximation. Similarly to Raman theory the intensity of the rotational lines can be attributed to three independent contributions, which derive from the isotropic, antisymmetric and anisotropic part of the TPA-tensor. Each of these contributions carries a different geometrical… Show more

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Cited by 66 publications
(5 citation statements)
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“…This gives a more intuitive picture of the symmetries involved in the excitation process. It may be noted that the isotropic cross section obtained by averaging over an isotropic ensemble of non-rotating molecules corresponds also to the one obtained for rotating molecules, if in the latter case the rotational structure of the transitions is not experimentally resolved, as was shown by Metz et al (1978).…”
Section: The Multiphoton Ionization Cross Section Of a Diatomic Moleculementioning
confidence: 77%
“…This gives a more intuitive picture of the symmetries involved in the excitation process. It may be noted that the isotropic cross section obtained by averaging over an isotropic ensemble of non-rotating molecules corresponds also to the one obtained for rotating molecules, if in the latter case the rotational structure of the transitions is not experimentally resolved, as was shown by Metz et al (1978).…”
Section: The Multiphoton Ionization Cross Section Of a Diatomic Moleculementioning
confidence: 77%
“…Thus, the temporal evolution of χ (3) is computed as the interferogram of damped harmonic oscillations, at the Raman frequencies ω (v i ,Ji)→(v f ,J f ) and with damping coefficients Γ (v i ,Ji)→(v f ,J f ) dominated by the collisional rotational energy transfer (RET) at atmospheric pressure, 65 -weighted by the semi-classical transition probabilities. 66 Thus, Eq. ( 4) introduces in the time-domain CRS model the spectroscopic properties of the Raman-active species, which in turn depend on the chemical structure of the molecule considered.…”
Section: Time-domain Crs Modelmentioning
confidence: 99%
“…A strong band is located at an excess energy of 1565 cm −1 . It is useful to discuss the polarization behavior in terms of the theory of gas phase two-photon transitions in polyatomic molecules [24,25]. In Ref.…”
Section: Two-photon-excitation Spectrummentioning
confidence: 99%