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Kinetics of the deactivation of the vibrations of highly excited oscillators in an inert gas medium, taking account of spontaneous radiation


In the diffusion approximation, the article discusses the kinetics of the process of deactivation of the vibrations of radiating anharmonic and harmonic oscillators in an inert gas medium. Limiting solutions are given for the purely radiational deactivation of a classical Morse oscillator and of a harmonic oscillator. It is shown that, with an increase in the effect of spontaneous radiation, the role of the anharmonic character of the vibrations in the process of deactivation increases; the initial (or arbitrary) distribution relaxes more slowly the higher its energy level, i.e., the greater the effect of the anharmonic character of the vibrations. The results are of importance for systems with a considerable population of the upper vibrational levels of the molecules, which may arise as a result of a chemical reaction or by the optical pumping of a gas.

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Literature cited

  1. 1.

    M. N. Safaryan and N. M. Pruchkina, “The vibrational relaxation of anharmonic oscillators,” Teor. i Éksp. Khim.,6, No. 3 (1970).

  2. 2.

    C. E. Treanor, J. W. Rich, and R. G. Rehm, “Vibrational relaxation of anharmonic oscillators with exchange-domina ted collisions,” J. Chem. Phys.,48, No. 4 (1968).

  3. 3.

    C. A. Brau, G. E. Caledonia, and R. E. Center, “Nonequilibrium vibrational distribution functions in infrared active anharmonic oscillators,” J. Chem. Phys.,52, No. 8 (1970).

  4. 4.

    B. F. Gordiets, A. I. Osipov, and L. A. Shelepin, “The kinetics of vibrational exchange in molecules. Amplification of radiation in halogen sulfides, with electrical and chemical pumping,” Zh. Éksp. i Teor. Fiz.,59, No. 2 (1970).

  5. 5.

    G. E. Caledonia and R. E. Center, “Vibration distribution functions in anharmonic oscillators,” J. Chem. Phys.,55, No. 2 (1971).

  6. 6.

    R. J. Rubin and K. E. Shuler, “Relaxation of vibrational nonequilibrium distributions. I. Collisional relaxation of a system of harmonic oscillators,” J. Chem. Phys.,25, No. 1 (1956).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 62–67, July–August, 1972.

The author thanks N. N. Magretova for carrying out the numerical calculation.

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Safaryan, M.H. Kinetics of the deactivation of the vibrations of highly excited oscillators in an inert gas medium, taking account of spontaneous radiation. J Appl Mech Tech Phys 13, 484–488 (1972).

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