Vibrational relaxation of C2H2and C2D2by vibration–rotation, translation (V–R, T) energy transfer

Author(s):  
Adolf Miklavc ◽  
Ian W. M. Smith
1985 ◽  
Vol 31 (8) ◽  
pp. 4854-4865 ◽  
Author(s):  
H. Kühle ◽  
J. Bahrdt ◽  
R. Fröhling ◽  
N. Schwentner ◽  
H. Wilcke

1974 ◽  
Vol 52 (10) ◽  
pp. 854-860 ◽  
Author(s):  
W. G. Tam

A semiclassical theory of the vibration–rotation energy transfer of fast rotating molecules is presented. The formulation is based on the same model as that of Shin's classical theory. The semiclassical theory is simpler to derive and more rigorous. We show that it necessarily gives more accurate results than the classical theory. Applications to the systems HF and DF indicate that the two theories agree reasonably well in these cases.


1992 ◽  
Vol 97 (5) ◽  
pp. 3348-3356 ◽  
Author(s):  
Adolf Miklavc ◽  
Nikola Marković ◽  
Gunnar Nyman ◽  
Vili Harb ◽  
Sture Nordholm

The velocity of ultrasonic waves has been measured in a number of gases at 25°C and for values of the ratio, ultrasonic frequency/pressure, ranging from 2 x 10 5 to 2 x 10 7 c s -1 atm -1 . Dispersion, corresponding to a single vibrational relaxation process was shown by acetylene, CD 3 Br and hexafluoro-ethane; and, to a double relaxation process, by ethane. Incipient dispersion was shown by propane, ethyl chloride, ethyl fluoride and dimethyl ether. No dispersion was shown by 1.1-difluoro-ethane, n -butane, iso -butane, neo -pentane and ammonia. Correlation of these with previous results leads to the conclusion that: ( а ) For molecules with a distribution of fundamental frequencies, such that there is only a small gap between the lowest and the remaining frequencies, vibrational activation enters via the lowest mode and spreads rapidly to the other modes, giving rise to a single relaxation process involving the whole of the vibrational energy. The chief factors determining the probability of excitation of the lowest mode are its frequency and the presence or absence of hydrogen atoms in the molecule. Molecules containing two or more hydrogen atoms suffer translational-vibrational energy transfer very much more easily than other molecules. Deuterium has almost the same effect as hydrogen. ( b ) For molecules, in which there is a large gap between the lowest and the remaining fundamental frequencies, a double relaxation process occurs. The complex energy transfer probabilities involved do not fit the same quantitative functional relation with vibrational frequency as in ( a ) above. ( c ) Torsional oscillations due to hindered internal rotation behave similarly to other fundamental modes. For molecules in which there is a large gap between the torsional frequency and the other modes (e. g. ethane) a double relaxation process occurs as in ( b ). Where there is no such gap, vibrational energy enters all modes via the torsional mode as in ( a ).


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