Energies, homolytic

The functionalization reaction as shown in Scheme 1(A) clearly requires the breaking of a C-H bond at some point in the reaction sequence. This step is most difficult to achieve for R = alkyl as both the heterolytic and homolytic C-H bond dissociation energies are high. For example, the pKa of methane is estimated to be ca. 48 (6,7). Bond heterolysis, thus, hardly appears feasible. C-H bond homolysis also appears difficult, since the C-H bonds of alkanes are among the strongest single bonds in nature. This is particularly true for primary carbons and for methane, where the radicals which would result from homolysis are not stabilized. The bond energy (homolytic dissociation enthalpy at 25 °C) of methane is 105 kcal/mol (8). 

With methane, transition-metal ions undergo oxidative addition to give the methyl hydride. The subsequent chemistry depends upon the initial energy of the ion. At low energies H2 is eliminated through a 4-centre reaction (equation 18a) while at higher energies homolytic bond fission occurs and H or, more commonly, CH3 is lost (equation 18b). 

Quantum-chemical calculations by the method of Hartrii-Focks with parameters UHF and RHF 4-replaced 2,6-di-ferf.butylphenol values energy homolytic dissociation 0-H of communications - D jj are found Value energy formation and energy of homolytic cleavage D communications in molecules phenols depend on calculation approach M6 or PM3) and parameters of a method of Hartrii-Focks. There are dependences D from k reactions 4-substituted investigated 2,6-di-fert.butylphenol with iso-propylbenzene peroxide compound. Results of calculations D (Q of sterically hindered phenols in approach PM6 with parameter RHF are corrected to experimental data. 

Some of the evidence indicating that alkyl substituents stabilize free radicals comes from bond energies The strength of a bond is measured by the energy required to break It A covalent bond can be broken m two ways In a homolytic cleavage a bond between two atoms is broken so that each of them retains one of the electrons m the bond... 

The energy required for homolytic bond cleavage is called the bond dissociation energy (BDE) A list of some bond dissociation energies is given m Table 4 3... 

Free valences and localization energies have been calculated for a series of pyrazoles (neutral molecules and conjugate acids) for homolytic substitution. In all the compounds the site with the lowest localization energy has the Wghest free valence index. This parallel between the two indices of reactivity is maintained in pyrazole, 1-methylpyrazole and their conjugate acids, but not in 1-phenylpyrazole and its conjugate acid. For the three compounds examined experimentally, (32), (33) and (35) (Section 4.04.2.1.8(ii)), only the predictions for (33) are in agreement with the experimental results. 

Consider now the behaviour of the HF wave function 0 (eq. (4.18)) as the distance between the two nuclei is increased toward infinity. Since the HF wave function is an equal mixture of ionic and covalent terms, the dissociation limit is 50% H+H " and 50% H H. In the gas phase all bonds dissociate homolytically, and the ionic contribution should be 0%. The HF dissociation energy is therefore much too high. This is a general problem of RHF type wave functions, the constraint of doubly occupied MOs is inconsistent with breaking bonds to produce radicals. In order for an RHF wave function to dissociate correctly, an even-electron molecule must break into two even-electron fragments, each being in the lowest electronic state. Furthermore, the orbital symmetries must match. There are only a few covalently bonded systems which obey these requirements (the simplest example is HHe+). The wrong dissociation limit for RHF wave functions has several consequences. 

Bond dissociation energy, D (Section 5.8) The amount of energ r needed to break a bond homolytically and produce two radical fragments. 

In the absence of solvation mechanisms, the process of homolytic bond scission in organic compounds requires much less energy than heterolytic bond scission... 

Heterocyclic sulphoxides 65 mass spectra of 130-132 Hexahydronaphthalenols, synthesis of 310 Hofmann elimination 953 HOMO energies 1048, 1049 Homolytic substitution 1109 intramolecular 846 Horner-Wittig reaction 333 Hot electrons 892, 893 HSAB theory 282, 549 Hydrides, as reducing agents 934-941, 959 Hydrogen abstraction, photochemical 874, 876, 877, 879, 880... 

The S-S bond dissociation energies of H2S2, H2S3 and H2S4 have been studied by Steudel et al. at the GCSD(T)//6-311 G(2df,p) level [42]. The calculated enthalpies AH° for the dissociation at the central bonds at 298 K are 247, 201 and 159 kJ mol respectively. The lower stability of the tri- and tetrasulfanes towards homolytic S-S cleavage is attributed to the stability of the generated HSS radical which is stabilized by the formation of a three-electron n bond. 

Bordwell et al., 1988, 1989) and Amett (Amett et al., 1990a,b, 1992 Venimadhavan et al., 1992) have employed thermodynamic cycles consisting of heterolysis of a molecule and redox processes of the resulting ions to evaluate homolytic dissociation energies of C—H, C—C, C—N, C—O and C—S bonds in solution. In a similar way, knowledge of the A//het(R-R ) values allows determination of the heat of homolysis of carbon-carbon bonds [A/fhomo(R"R )] using (27). The results are summarized in Table 4. 

In this reaction scheme, hydrogen adsorption (on an empty site ) can occur only after OH removal. Since the adsorption energy of hydrogen is gained only in the second step, this may shift the onset of the reaction to more cathodic potentials. We wUI see later that on a surface covered by Pt monolayer islands that allow an easy formation of Had (see below), a homolytic reaction according to... 

The reaction endothermicity establishes a minimum for the activation energy whereas abstraction of a hydrogen atom from carbon is a feasible step in a chain process, abstraction of a hydrogen atom from a hydroxyl group is unlikely. Homolytic cleavage of an O-H bond is likely only if the resulting oxygen radical is stabilized, such as in phenoxy radicals formed from phenols. 

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