Third Body Effects in the Combination of Methyl Radicals

1964 ◽  
Vol 68 (9) ◽  
pp. 2492-2497 ◽  
Author(s):  
S. Toby ◽  
B. H. Weiss
Keyword(s):  
1958 ◽  
Vol 36 (6) ◽  
pp. 983-989 ◽  
Author(s):  
R. Berisford ◽  
D. J. Le Roy

The reaction of deuterium atoms with ethane has been studied at 25 °C. by the method of mercury (3P1) photosensitization. Methane formation takes place by the addition of D atoms to methyl radicals in the presence of a third body. From the dependence of methane exchange on third-body concentration the lifetime of the excited methane molecule is estimated to be of the order of 10−9 sec. The lifetime of the excited ethane molecule formed by the addition of a D atom to an ethyl radical is estimated to be considerably less than 10−9 sec.


1970 ◽  
Vol 48 (8) ◽  
pp. 1269-1272 ◽  
Author(s):  
A. N. Dunlop ◽  
R. J. Kominar ◽  
S. J. W. Price

Using dimethylzinc, dimethylmercury, and trimethylbismuth as sources of methyl radicals, values of k1/k21/2[Formula: see text]have been calculated from 338 to 610 °C over the pressure range 4.5–204 mm. M is predominantly toluene. The observed pressure dependence of reaction [2] is in agreement with that found when M = benzene, but is somewhat greater, and the fall-off occurs at higher pressures, than for ethane dissociation. However, reasonable agreement is obtained if it is assumed that the efficiency of toluene as a third body in reaction [2] is about 1/10th that of ethane.Extrapolation to infinite pressure, where it is assumed that E2 = 0and A2 = 1013.34 cm3 mole−1 s−1, gives E1 = 8.0 ± 0.3 kcal mole−1 and A1 = 1011.07 cm3 mole−1 s−1.


The kinetics of the photo-decomposition of acetone at low pressures (20 to 0.2 mm) are consistent with the participation of a third body in the recombination of methyl radicals. Various added gases increase the relative rate of formation of ethane; approximate values, relative to acetone, are given for their efficiencies in deactivating excited ethane molecules by collision. The rate of spontaneous redissociation of the activated complex is less than 6 x 10 7 s -1 at 520° K, and increases with temperature.


The uninhibited pyrolysis of propane was investigated from 530 to 670 °C and at pressures up to 600 mm. In an unpacked vessel the reaction was of the first order at lower temperatures and higher pressures. A transition to 3/2 order at higher temperatures and lower pressures was observed. The rates were somewhat reduced in a packed vessel, and an apparent order of 1.25 was obtained. The activation energy of the reaction in its first-order region was 67.1 kcal and that of the f-order reaction was 54.5 kcal. Added carbon dioxide had no effect on the rates either in the first-order or 3/2-order region. On the basis of this evidence, and of theoretical arguments, it is concluded that the reaction is largely homogeneous and occurs by a free-radical mechanism. The initiation reaction is considered to be the dissociation of propane into a methyl radical and an ethyl radical, this reaction being in its second-order low-pressure region under the conditions of the experiments. The termination reaction when the overall order is unity is concluded to be the recombination of a methyl and a propyl radical in the presence of a third body. In the 3/2-order region the termination reaction is believed to be the recombination of two methyl radicals, also in the third-order region. These mechanisms are shown to give a satisfactory interpretation of the overall behaviour.


1967 ◽  
Vol 45 (22) ◽  
pp. 2775-2783 ◽  
Author(s):  
Leon F. Loucks

As part of the study of the mercury-photosensitized decomposition of dimethyl ether, the combination of methyl radicals has been investigated in the temperature range 200 to 300 °C and at pressures between 3 and 300 mm Hg. For pressures of less than 100 mm the second-order rate coefficient for the combination of methyl radicals shows a pressure dependence. The pressure dependence agrees qualitatively with that observed by others, but occurs at somewhat higher pressures. Calculations for the Kassel equation using the Arrhenius parameters for ethane decomposition and fitted to the pressure dependence of the methyl radical combination show that the number of effective modes for ethane decomposition is 8 or 9. Carbon dioxide was found to be a quite ineffective third body for energy transfer. The results for the mercury-photosensitized decomposition of dimethyl ether have also been analyzed to obtain information about the combination of methyl radicals with methoxymethyl radicals. The combination of these radicals becomes pressure dependent at pressures less than about 15 mm. Kassel integrations based on the rate constant [Formula: see text]for the unimolecular decomposition of methyl ethyl ether at the C—C bond, and fitted to the observed pressure dependence of the combination reaction, lead to s = 10 for these reactions.The rate constant for the abstraction of a hydrogen atom by a methyl radical from dimethyl ether was found to be [Formula: see text]


2010 ◽  
Vol 500 (4-6) ◽  
pp. 232-236 ◽  
Author(s):  
Michael Steinbauer ◽  
Patrick Hemberger ◽  
Ingo Fischer ◽  
Melanie Johnson ◽  
Andras Bodi
Keyword(s):  

2021 ◽  
Vol 133 (3) ◽  
Author(s):  
Marilena Di Carlo ◽  
Simão da Graça Marto ◽  
Massimiliano Vasile

AbstractThis paper presents a collection of analytical formulae that can be used in the long-term propagation of the motion of a spacecraft subject to low-thrust acceleration and orbital perturbations. The paper considers accelerations due to: a low-thrust profile following an inverse square law, gravity perturbations due to the central body gravity field and the third-body gravitational perturbation. The analytical formulae are expressed in terms of non-singular equinoctial elements. The formulae for the third-body gravitational perturbation have been obtained starting from equations for the third-body potential already available in the literature. However, the final analytical formulae for the variation of the equinoctial orbital elements are a novel derivation. The results are validated, for different orbital regimes, using high-precision numerical orbit propagators.


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