THE REACTIONS OF PERFLUOROETHYL RADICALS WITH HYDROGEN AND METHANE

1960 ◽  
Vol 38 (11) ◽  
pp. 2128-2135 ◽  
Author(s):  
S. J. W. Price ◽  
K. O. Kutschke

The reactions of C2F5 radicals, produced by the photolysis of (C2F5)2CO, with methane and hydrogen have been studied. Assuming zero activation energy for 2C2F5 → C4F10 the activation energies for C2F5 + CH4 → C2F5H + CH3 and C2F5 + H2 → C2F5H + H are 10.6 kcal/mole and 11.9 kcal/mole respectively. The present results have been correlated with data on the reactions of CF3, C3F7, and CH3 radicals with H2, D2, CH4, and C2H6. Taking Erecombination ≈ 0 in all cases and assuming the frequency factor for the recombination reaction varies little from radical to radical, the order of ease of hydrogen abstraction from a given substrate is CF3 > C2F5 > C3F7 > CH3. Similarly the ease of hydrogen abstraction from a substrate by a given fluorinated radical is C2H6 > H2 > CH4 > D2. A calculation based on very limited data indicates the reaction CH3 + C2F5COC2F5 → CH3COC2F5 + C2F5 may occur with an activation energy of approximately 7 kcal/mole.


1969 ◽  
Vol 47 (3) ◽  
pp. 387-392 ◽  
Author(s):  
Koichiro Sakota ◽  
Yoshio Kamiya ◽  
Nobuto Ohta

A detailed kinetic study of oxidation of toluene and its derivatives by cobaltic acetate in 95 vol% acetic acid is reported. The reaction was found to be profoundly affected by a steric factor and rather insensitive to the C—H bond energy. The order of reactivities of various alkylbenzenes is quite reversal to that of hydrogen abstraction reactions. The reaction was of first-order with respect to toluene, of second-order with respect to cobaltic ion and of inverse first-order with respect to cobaltous ion. The oxidation by cobaltic ion seems to proceed via an initial reversible electron transfer from toluene to cobaltic ion, yielding [Formula: see text] which is oxidized into benzyl acetate by another cobaltic ion. The apparent activation energy for toluene was found to be 25.3 kcal mole−1, and the same activation energy was found for ethylbenzene, cumene, diphenylmethane, and triphenylmethane.



1956 ◽  
Vol 34 (2) ◽  
pp. 103-107 ◽  
Author(s):  
P. B. Ayscough ◽  
E. W. R. Steacie

A study of the reactions of trifluoromethyl radicals, produced by the photolysis of hexafluoroacetone, with propane, n-butane, and isobutane has been made. The rate constants of the hydrogen-abstraction reactions have been determined at temperatures between 27 °C and 119 °C and the activation energies found to be 6.5 ± 0.5, 5.1 ± 0.3, and 4.7 ± 0.3 kcal./mole respectively. These values are compared with those obtained for the reactions with methane and ethane, and with the corresponding reactions of methyl radicals.



1955 ◽  
Vol 33 (5) ◽  
pp. 743-749 ◽  
Author(s):  
P. B. Ayscough ◽  
J. C. Polanyi ◽  
E. W. R. Steacie

The photolytic decomposition of hexafluoroacetone by light of wavelength 3130 Å has been used to produce trifluoromethyl radicals for a study of their reactions with methane and ethane. It has been shown that these radicals abstract hydrogen with greater facility than do methyl radicals. The activation energies for the two reactions[Formula: see text]and[Formula: see text]are found to be 10.3 ± 0.5 kcal./mole and 7.5 ±0.5 kcal./mole respectively, if one can assume zero activation energy for the recombination of trifluoromethyl radicals.



1970 ◽  
Vol 23 (4) ◽  
pp. 765 ◽  
Author(s):  
SR Gun ◽  
US Nandi

The kinetics of the reaction of methyl methacrylate with oxygen in the presence of 2,2'-azobisisobutyronitrile has been studied at 60-70� both in the presence and absence of phenol and 2,6-di-t-butyl-p-cresol. Retarded rates are proportional to the first power of the initiator concentrations, the first power of the methyl methacrylate concentrations, and the inverse first power of the phenol concentrations. The overall activation energy of the reaction in the absence of phenol is 31.51 kcal/mole and in the presence of phenol is 41.00 kcal/mole. The mechanism is discussed in the light of the experimental results and it is inferred that termination in inhibited oxidation proceeds through hydrogen abstraction and chain transfer.



1963 ◽  
Vol s3-104 (68) ◽  
pp. 413-439
Author(s):  
D. J. GOLDSTEIN

Methods are proposed for the estimation of the rate, activation energy, heat, and affinity of staining of histological sections, and approximate results are given for the staining of mucin, mast-cell granules, chromatin, cytoplasmic ribonucleic acid (RNA), cartilage matrix, and other structures by azure A. The half-staining time t½ is the time taken by a substrate under given staining conditions to achieve half the intensity of staining it would reach at equilibrium, and is approximately equal to the time taken to stain in a given, fairly dilute dyebath to the same intensity as at equilibrium in a dyebath of half the given concentration. The activation energy E of staining is given by E = ln t½(1)/t½(2) x RT1T2/(T2-T1), where t½(1) and t½(2) are the half-staining times at absolute temperatures T1 and T2 respectively, and R is the gas constant. The activation energy of staining reflects the effect of temperature on rate of staining, and may be regarded as an index of substrate permeability. Half-staining times and activation energies of staining with azure A increase in the order mucin, mast-cell granules, chromatin, RNA, and interstitial cartilage matrix. Times of half-destaining and activation energies of destaining also are probably largely determined by substrate permeability. Differential staining dependent on differences in rate of staining may be enhanced by the use of chilled and stirred dyebaths, and by the use of dyes of large particle size. The heat of dyeing δH, sometimes regarded as the sum of the heats of formation of the various dye-substrate bonds, approximately equals RT1T2/(T2-T1)x ln [D]1/[D]2, where [D]1 and [D]2 are the concentrations of dyebath giving equal intensity of staining of the substrate at equilibrium at temperatures T1 and T2. Approximate figures for δH in kcal/mole for staining with dilute azure A are: mucin, -8; chromatin and cartilage matrix, -7; cytoplasmic RNA, -5.5; mast-cell granules, - 2 to - 4. The higher the value of -δH the more is staining inhibited by a rise in temperature of the dyebath. The affinity of a dye for a substrate may be regarded as the standard free energy change accompanying the staining process, which under certain conditions is given approximately by δF° = - RT ln τ /(1-τ)[D], where τ is the fraction of available staining sites in the substrate occupied by dye when the substrate is at equilibrium with a dyebath of concentration [D]. Differential staining of substrates with a high affinity for the dye is facilitated by the use of dilute dye solutions. Approximate values of δF° for staining with azure A at 4° C and pH 4.0, in kcal/mole, are: cartilage matrix, -3.8 (orthochromasia) and - 5.3 (metachromasia); mast-cell granules, -4 (orthochromasia) and -4.4 (metachromasia); RNA, -3.1; mucin, between - 2.7 and -3.4; chromatin, -3.1; thyroid colloid, -2.3; Xenopus poison gland secretion, -2.3 It is suggested that part of the high affinity of sulphate groups for basic dyes is due to an increase in entropy during staining, resulting from dispersion of a large hydration shell surrounding the sulphate groups before attachment of the dye.



1955 ◽  
Vol 33 (3) ◽  
pp. 472-479 ◽  
Author(s):  
H. G. Oswin ◽  
R. Rebbert ◽  
E. W. R. Steacie

The reactions between CH3 + CH3—Hg—CH3 were investigated in a system in which acetone was used as the source of CH3 radicals. Similarly d6-acetone was used to investigate the reactions of CD3 radicals and CH3—Hg—CH3. Activation energies for the hydrogen abstraction reactions were calculated, and no significant difference was found between the CD3 and CH3 reactions, being respectively 10.0 and 10.2 kcal./mole. Under conditions of constant intensity and acetone concentration, reaction rates appear to be dependent on mercury dimethyl concentrations. In the case of the acetone-d6 system, quantities of C2D3H3 were found in the reaction products. This is discussed as possible evidence of such a reaction as:[Formula: see text]



The rate of decomposition of nitrous oxide has been examined by pressure measurements, at temperatures between 500 and 900 °C and pressures between 10 -2 and 1 torr. The reaction is first order, but shows retardation by oxygen, but not nitrogen. Over the range of alloys, from Pd to nearly 40 at. % Pd, the velocity at 650 °C falls by a factor of 104, the apparent activation energy falls from 30 to 13 kcal/mole, and the retarding effect of oxygen falls to zero. Over this range of alloys the Fermi level which lies in the d band hardly changes but the concentration of the d band vacancies falls to zero. Over the range of alloys from 40 at. % Pd to Au the velocity at 650 °C remains constant but the apparent activation energy and frequency factor, which show an abrupt increase at 40 at. % Pd, show a continuous fall. The retarding effect of oxygen remains zero. In this range the Fermi level has entered the s band and increases to Au. A steady state treatment of an irreversible dissociative chemisorption of nitrous oxide, together with an oxygen chemisorption equilibrium, yields an equation for the velocity in quantitative agreement with the results found. It is also possible to account for the increase in apparent activation energy with oxygen coverage of the surface. The heat of adsorption of oxygen is derived as 32-2±2 kcal/mole, and the activation energy for chemisorption of nitrous oxide as 12-7 ±0-5 kcal/mole.



1960 ◽  
Vol 38 (9) ◽  
pp. 1576-1589 ◽  
Author(s):  
P. J. Boddy ◽  
E. W. R. Steacie

The photolysis of 3-pentanone-d10 has been used as a source of deuterated ethyl radicals and some of their hydrogen abstraction reactions studied over the temperature range 50–300 °C.The compounds neopentane, n-butane, and isobutane were chosen as representative of the basic structural features in the alkane series. The activation energies for abstraction [Formula: see text] are respectively 12.60 ± 0.7, 10.4 ± 0.75, and 8.9 ± 0.6 kcal/mole and the pre-exponential factors (log10(A8/A4)) are 0.300 ± 0.09, 0.082 ± 0.09, and −0.334 ± 0.066 where[Formula: see text]For abstraction of a deuterium atom from the ketone the values obtained are [Formula: see text] in agreement with previous investigations (1, 2).The value of the disproportionation to combination ratio for C2D5 radicals is 0.0985 ± 0.008 independent of temperature.



2021 ◽  
Vol 2070 (1) ◽  
pp. 012009
Author(s):  
S. Nabadwip Singh

Abstract Borate based phosphor is a suitable material for thermoluminescence dosimetry. Glow curves of β-irradiated pure borate glass has been analyzed by restoring to Computerized Glow Curve Deconvolution (CGCD) technique and evaluate the trapping parameters namely activation energy (E), frequency factor (s) and order of kinetics (b). It is observed that there are stable peaks in the range 110° to 150°C even to various extent of thermal cleaned ones also. The activation energies of the phosphor are in the range 0.898 to 1.325 eV and frequency factors are in the order of 1011 to 1013 s−1.



2021 ◽  
Author(s):  
◽  
Sione Paea

<p>Coal pyrolysis is a complex process involving a large number of chemical reactions. The most accurate and up to date approach to modeling coal pyrolysis is to adopt the Distributed Activation Energy Model (DAEM) in which the reactions are assumed to consist of a set of irreversible first-order reactions that have different activation energies and a constant frequency factor. The differences in the activation energies have usually been represented by a Gaussian distribution. This thesis firstly compares the Simple First Order Reaction Model (SFOR) with the Distributed Activation Energy Model (DAEM), to explore why the DAEM may be a more appropriate approach to modeling coal pyrolysis. The second part of the thesis uses the inverse problem approach together with the smoothing function (iterative method) to provide an improved estimate of the underlying distribution in the wide distribution case of the DAEM. The present method significantly minimizes the error due to differencing and smoothes the chopped off parts on the underlying distribution curve.</p>



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