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A spectrophone study of vibrational relaxation in methane

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Title A spectrophone study of vibrational relaxation in methane
Names Breshears, Wilbert Dale (creator)
Decius, J. C. (advisor)
Date Issued 1965-08-17 (iso8601)
Note Graduation date: 1966
Abstract The spectrophone method for the study of vibrational relaxation
has been claimed to possess a distinct advantage over the more commonly
used ultrasonic techniques in that it permits the relaxation of
the various infrared-active vibrational modes in a polyatomic molecule
to be studied separately. A discussion of the rate equations
governing the exchange of energy between several degrees of freedom
in polyatomic gases is given which shows that the characteristic relaxation
frequencies for such a system are completely independent of
the method of excitation, indicating that the information which can be
obtained using the spectrophone is essentially the same as that to be
found from ultrasonic measurements. An expression is derived for
the spectrophone frequency response to be expected from a polyatomic
gas which predicts that at sufficiently high light-chopping frequencies
an increased loss in the spectrophone signal due to relaxation phenomena
should be observed. A study of the spectrophone response in the frequency range where this increased signal loss occurs should-thus
afford a means for determining the effective vibrational relaxation
time of the gas in the spectrophone cell.
An apparatus is described which was used to measure spectrophone
signal amplitudes over a range of chopping frequencies from
200 to 1600 cps, at gas pressures from one atmosphere down to a
few millimeters. Response curves obtained for methane gas at
pressures of one atmosphere and one-half atmosphere exhibit the
behavior predicted by the theory, but show no increased signal loss
at the higher chopping frequencies. However, the response curves
for methane at pressures of 5 mm, 10 mm, and 20 mm do exhibit
such a high frequency loss; from these response data a vibrational
relaxation time of T= 1.1 microseconds at one atmosphere has been
assigned to methane. This value agrees within a factor of two with
all similar results reported by other workers.
Studies of the spectrophone frequency response obtained for
mixtures of methane and carbon dioxide, with carbon dioxide concentrations
of one percent and five percent, indicate that the presence of
carbon dioxide serves to decrease the vibrational relaxation time in
methane.
Studies of the spectrophone frequency response obtained for
three deuterated methanes, CH₃D, CH₂D₂, and CHD₃, yield values
of T= 0.87 microseconds for CH₃D, T= 0.99 microseconds for CH₂D₂, and T= 1.45 microseconds for CHD₃, all at one atmosphere
pressure. The longer time for CHD₃ is interpreted in terms of the
decreased rotational velocity of the deuterium atoms in this molecule,
which reduces the probability of vibrational- rotational energy
transfer during molecular collisions.
Genre Thesis/Dissertation
Topic Molecular dynamics
Identifier http://hdl.handle.net/1957/47579

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