Abstract
Previously reported experimental results for inelastic cross sections for rotational excitation of TlF molecules in low-lying, well defined rotational states are interpreted in terms of a time dependent perturbation theory formulation of the high energy approximation. In order to calculate inelastic cross sections for the observed small angle scattering the Born approximation and the classical deflection function are shown to be applicable. In this approximation the ΔJ selection rules are characteristic of the individual terms in the expansion of the potential, whereas the ΔM selection rules depend on the orientation of the molecule with respect to the scattering trajectory. An approximation for dealing with a scattering gas consisting of molecules is introduced and the appropriate orientation averaging is carried out for the case of a generalized electrostatic potential. The measured results for the transition TlF(2.0)→ (3.0) in collisions with the rare gases and CH4 and SF6 are more than a factor three larger than calculated results for the induced dipole-quadrupole (α, μ, Q) interaction. Rough argeement is found between calculated results for a dipole-quadrupole interaction and the experimental results for the above mentioned transition produced by the scattering gases O2, N2 (air), N2O, and H2O. Finally, the dipole-dipole potential appears to provide an explanation for the large inelastic cross sections observed with NH3 and CF2Cl2. Calculated inelastic and total cross sections are however considerably larger (about a factor 2) than the measured results with NH3. Possible explanations are discussed.
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Ich danke Herrn Prof. W.Paul für seine Förderung dieser Arbeit und für wertvolle Ratschläge. Weiter möchte ich mich bei den Herren Dr. H. G.Bennewitz und Prof. H.Rollnik für lehrreiche Diskussionen und für das Durchlesen des Manuskripts bedanken. Für eine kritische Überprüfung der Mittelungsverfahren danke ich Herrn Dr. J.Reuss (Nijmegen). Herrn Dr. P.Heyderhoff vom Institut für Instrumentelle Mathematik und Herrn J.Schöttler danke ich für die Fertigstellung der Rechenprogramme.
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Toennies, J.P. Molekularstrahlmessungen von Stoßquerschnitten für Übergänge zwischen definierten Rotationszuständen zwei-atomiger Moleküle. Z. Physik 193, 76–118 (1966). https://doi.org/10.1007/BF01326462
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DOI: https://doi.org/10.1007/BF01326462