Constant homolytic

LINEAR FREE ENERGY RELATIONSHIPS Hammett substituent constants Taft substituent constants Inductive and resonance substituent constants Steric substituent constants Homolytic substituent constants Field and resonance components Aqueous solubility The parachor... 

Hammett and Taft constants, S, 107 homolytic substitution, S, 5 hydrogen exchange, S, 57, 69-70 hydroxy... 

In addition to the normal homolytic dissociation of N2O4 into 2NO2, the molecule sometimes reacts as if by heterolytic fission thus in media of high dielectric constant the compound often reacts as though dissociated according to the equilibrium N2O4, NO" " + NOj" (see... 

Various methods for estimating transfer constants in radical polymerization have been devised. The methods are applicable irrespective of whether the mechanism involves homolytic substitution or addition-fragmentation. 

The following sections detail the chemistry undergone by specific transfer agents that react by atom or group transfer by a homolytic substitution mechanism. Thiols, disulfides, and sulfides arc covered in Sections 6.2.2.1,6.2.2.2 and 6.2.2.3 respectively, halocarbons in Section 6.2.2.4, and solvents and other agents in Section 6.2.2.5. The transfer constant data provided have not been critically... 

In the case of allyl peroxides (12 X= CH2, A=CH2, BO),1 1 1 intramolecular homolytic substitution on the 0-0 bond gives an epoxy end group as shown in Scheme 6.18 (1,3-Sn/ mechanism). The peroxides 52-59 are thermally stable under the conditions used to determine their chain transfer activity (Table 6.10). The transfer constants are more than two orders of magnitude higher than those for dialkyi peroxides such as di-f-butyl peroxide (Q=0.00023-0.0013) or di-isopropyl peroxide (C =0.0003) which are believed to give chain transfer by direct attack on the 0-0 bond.49 This is circumstantial evidence in favor of the addition-fragmentation mechanism. 

According to the transition state theory, the pre-exponential factor A is related to the frequency at which the reactants arrange into an adequate configuration for reaction to occur. For an homolytic bond scission, A is the vibrational frequency of the reacting bond along the reaction coordinates, which is of the order of 1013 to 1014 s 1. In reaction theory, this frequency is diffusion dependent, and therefore, should be inversely proportional to the medium viscosity. Also, since the applied stress deforms the valence geometry and changes the force constants, it is expected... 

The rapid formation of the (Z)-diazoate is followed by the slower (Z/J )-isomeri-zation of the diazoate (see Scheme 5-14, reaction 5). Some representative examples are given in Table 5-2. Both reactions are first-order with regard to the diazonium ion, and the first reaction is also first-order in [OH-], i.e., second-order overall. So as to make the rate constants k and k5 directly comparable, we calculated half-lives for reactions with [ArNj ]0 = 0.01 m carried out at pH = 9.00 and 25 °C. The isomerization rate of the unsubstituted benzenediazonium ion cannot be measured at room temperature due to the predominance of decomposition (homolytic dediazoniations) even at low temperature. Nevertheless, it can be concluded that the half-lives for (Z/ )-isomerizations are at least five powers of ten greater than those for the formation of the (Z)-diazohydroxide (reaction 1) for unsubstituted and most substituted benzenediazonium ions (see bottom row of Table 5-2). Only for diazonium ions with strong -M type substituents (e.g., N02, CN) in the 2- or 4-position is the ratio r1/2 (5)/t1/2 (1) in the range 6 x 104 to 250 x 104 (Table 5-2). 

In principle it should be possible to predict quantitatively the reactivity of such species containing nucleophilic homolytic leaving groups towards diazonium ions, by using a dual parameter equation. One parameter serves as a measure of the donor property of the particle the other parameter is the redox potential. However, the complex nature of kinetics of homolytic dediazoniations is likely to be a great obstacle in attempts to calculate rate constants referring only to the radical-generation step. 

Apparent exceptions are the constants k2 for diazonium salts with the electron-withdrawing substituents 4-C1 and 3-CN. The values of k2 for these compounds are more than a factor of 10 larger than expected on the basis of Hammett relationships. Product analyses rationalize this observation whereas in all other cases products are likely to be formed by heterolytic dediazoniation, the products from the 4-chloro-and 3-cyanobenzenediazonium ions include chlorobenzene and benzonitrile, typical compounds obtained in homolytic dediazoniations. This result corresponds to the reaction products observed by Moss et al. (1982) in micellar dediazoniation, compared with the nonmicellar reaction (see Sec. 8.3). 

They argued that pre-equilibria to form Cl+ or S02C1+ may be ruled out, since these equilibria would be reversed by an increase in the chloride ion concentration of the system whereas rates remained constant to at least 70 % conversion during which time a considerable increase in the chloride ion concentration (the byproduct of reaction) would have occurred. Likewise, a pre-equilibrium to form Cl2 may be ruled out since no change in rate resulted from addition of S02 (which would reverse the equilibrium if it is reversible). If this equilibrium is not reversible, then since chlorine reacts very rapidly with anisole under the reaction condition, kinetics zeroth-order in aromatic and first-order in sulphur chloride should result contrary to observation. The electrophile must, therefore, be Cli+. .. S02CI4- and the polar and non-homolytic character of the transition state is indicated by the data in Table 68 a cyclic structure (VII) for the transition state was considered as fairly probable. 

Fig. 12 Variation of the rate constant with the driving force in the homolytic cleavage of various types of anion and cation radicals. The open symbols refer to bibenzyl derivatives and the stars to cation radicals of the tm-butyl derivatives of synthetic analogs of NADH.

Having a weak O—O bond, peroxides split easily into free radicals. In addition to homolytic reactions, peroxides can participate in heterolytic reactions also, for example, they can undergo hydrolysis under the catalytic action of acids. Both homolytic and heterolytic reactions can occur simultaneously. For example, perbenzoates decompose into free radicals and simultaneously isomerize to ester [11]. The para-substituent slightly influences the rate constants of homolytic splitting of perester. The rate constant of heterolytic isomerization, by contrast, strongly depends on the nature of the para-substituent. Polar solvent accelerates the heterolytic isomerization. Isomerization reaction was proposed to proceed through the cyclic transition state [11]. 

The rate constants of these reactions were found to be very close kA = 2.0 x 10 5 s 1 and kis = 2.2x 10 5 s 1 (//-nonane, 403 K). The competition between homolytic and heterolytic reactions influences the effectiveness of initiation. When the heterolytic isomerization of... 

This dependence is the result of general occurrence of the homolytic decay of peroxide with the rate constant kd and chain decomposition of peroxide due to reactions with the radical formed from the solvent RH according to the following kinetic scheme ... 

Three different mechanisms of perester homolytic decay are known [3,4] splitting of the weakest O—O bond with the formation of alkoxyl and acyloxyl radicals, concerted fragmentation with simultaneous splitting of O—O and C—C(O) bonds [3,4], and some ortho-substituted benzoyl peresters are decomposed by the mechanism of decomposition with anchimeric assistance [3,4]. The rate constants of perester decomposition and values of e = k l2kd are collected in the Handbook of Radical Initiators [4]. The yield of cage reaction products increases with increasing viscosity of the solvent. 

So, these reactions cannot lead to effective chain termination in oxidized alcohol. The decomposition of tetroxides depends on pH and apparently proceeds homolytically as well as heterolytically in an aqueous solution. The values of the rate constants (s 1) of tetroxide decomposition at room temperature in water at different pH values are given below [38,39],... 

DL Rakhmankulov, W Zorin, EM Kuramshin, SS Zlotskii. Rate Constants of Homolytic Liquid-Phase Reactions of 1,3-Diheterocycloalkanes and Analogs. Ufa Reaktiv, 1999 [in Russian]. 

The rate constants of homolytic decomposition of the two hydroperoxides in butylacetamide media are given in Table 9.8. 

These reactions produce free radicals, as follows from the fact of consumption of free radical acceptor [42]. The oxidation of ethylbenzene in the presence of thiophenol is accompanied by CL induced by peroxyl radicals of ethylbenzene [43]. Dilauryl dithiopropionate induces the pro-oxidative effect in the oxidation of cumene in the presence of cumyl hydroperoxide [44] provided that the latter is added at a sufficiently high proportion ([sulfide]/[ROOH] > 2). By analogy with similar systems, it can be suggested that sulfide should react with ROOH both heterolytically (the major reaction) and homolytically producing free radicals. When dilauryl dithiopropionate reacts with cumyl hydroperoxide in chlorobenzene, the rate constants of these reactions (molecular m and homolytic i) in chlorobenzene are [42]... 

The reaction occurs both heterolytically and homolytically, so that the overall rate constant kx = km + ki. For the rate constants, see Table 17.8. 

The use of allylstannanes for homolytic allylation depends on the rapid conjugate displacement of R3Sn- by attack of a radical at the y-position of the allyl group. The rate constants for this reaction by primary alkyl radicals with the allylstannanes 22 and 23 in Scheme 9 are close to the value that was estimated previously for allyltributyltin.285,286... 

AN+- (Reitstoen and Parker, 1991). In other words, the triad of reactive fragments produced in (63) in the charge-transfer excitation of the EDA complex with A-nitropyridinium ion is susceptible to mutual (pairwise) annihilations leading to the Wheland intermediate W and the nucleophilic adduct N (Scheme 12), so that the observed second-order rate constant ku for the spectral decay of ArH+- in Table 3 actually represents a composite of k2 and k2. A similar competition between the homolytic and nucleophilic reactivity of aromatic cation radicals is observed in the reaction triad (55)... 

Fig. 17 Variation of the rate constants for the homolytic (k2) and nucleophilic (k2) annihilation of various aromatic cation radicals with N02 and pyridine, respectively, as a function of the oxidation potential E x (to gauge ArH+ stability).

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