Analytical expressions for the rotational-vibrational energy levels of diatomic molecules represented by the Tietz-Hua rotating oscillator are derived using the Hamilton-Jacoby theory and the Bohr-Sommerfeld quantization rule. In molecules with moderate and large values of rotational and vibrational quantum numbers, the levels are in much better agreement with the results of numerical calculations than the energies obtained from the common model of the rotating Morse oscillator.

Several ionization and dissociation channels of electron interaction with the methane molecule are studied using the recently discovered robust scaling law [D. A. Erwin and J. A. Kunc, Phys. Rev. A 72, 052719 (2005)], other experimentally observed relationships between the ionization and dissociation channels, and the most recent information about the processes. The resulting cross sections for the channels are given in the form of analytical expressions valid at all nonrelativistic energies.

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Articles you may be interested inElectron capture and ionization cross sections from ion collisions with oriented elliptic Rydberg atoms AIP Conf. Proc. 475, 73 (1999); 10.1063/1.59221 Ionizing reaction cross sections in the collision of argon atoms in high Rydberg states with various moleculesGeneral analytical expressions for cross sections for direct ionization in atom-atom collisions are evaluated using the classical impulse approximation. The approach is also applied to ion-atom and molecule-molecule interactions. The overall accuracy of the obtained cross sections in a broad range of energy is better, when compared with existing measurements for many collision systems, than accuracy of other analytical predictions available in literature. 5738

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A stationary, nonlinear collisional-radiative model for high-temperature atomic oxygen is presented. Populations of electrons, ions and excited atoms and intensities of spectral, continuum, and dielectronic recombination lines are calculated in a wide range of conditions (11000 K(T, &15000 K, 10' (N,~1 0' cm). Transport of radiation is included by coupling the rate equations for production of the electrons, ions, and excited atoms with the concept of the escape factors that are not constant but dependent upon plasma conditions. The calculated total continuum emission is in good agreement with existing measurements.

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The impact of rotational-vibrational dynamics of molecules on the molecular partition functions, law of mass action and thermodynamic functions of partially dissociated diatomic gases is discussed. A group of 11 gases, expected to have their partition functions the most sensitive to the molecular rotational-vibrational properties, is selected for rigorous and detailed studies, and the partition functions, dissociation degrees and free energies of the gases are calculated ͑using various models of molecular rotational-vibrational dynamics͒ and compared in a broad range of temperature and particle density.