Rate constants hydrogen atom reactions

Fig. 1. Examples of temperature dependence of the rate constant for the reactions in which the low-temperature rate-constant limit has been observed 1. hydrogen transfer in the excited singlet state of the molecule represented by (6.16) 2. molecular reorientation in methane crystal 3. internal rotation of CHj group in radical (6.25) 4. inversion of radical (6.40) 5. hydrogen transfer in halved molecule (6.16) 6. isomerization of molecule (6.17) in excited triplet state 7. tautomerization in the ground state of 7-azoindole dimer (6.1) 8. polymerization of formaldehyde in reaction (6.44) 9. limiting stage (6.45) of (a) chain hydrobromination, (b) chlorination and (c) bromination of ethylene 10. isomerization of radical (6.18) 11. abstraction of H atom by methyl radical from methanol matrix [reaction (6.19)] 12. radical pair isomerization in dimethylglyoxime crystals [Toriyama et al. 1977].

Anbar, M. and Neta, P. (1967). A compilation of specific biomolecular rate constants for the reaction of hydrated electrons, hydrogen atoms and hydroxyl radicals with inorganic and organic compounds in aqueous solutions. Int. J. Appl. Radiat. Isot. 18, 493-497. 

The second-order rate constant for the reaction of a hydrogen atom with a hydroxide ion to give an electron and water (hydrated electron) is 2.0 x 10 M s . The rate constant for the decay of a hydrated electron to give a hydrogen atom and hydroxide ion is 16M s. Both rate constants can be determined by pulse radiolytic methods. Estimate, using these values, the pA of the hydrogen atom. Assume the concentration of water is 55.5M and that the ionization constant of water is 10 M. 

In water, A-nitrosodimethylamine reacts with OH radicals via abstraction of the hydrogen atom on the methyl group. The rate constant for this reaction is 4.30 x 10 /M-sec. No significant intermediate compounds were identified in the absorption range 250-800 nm (Mezyk et al., 2004). 

For tertiary, secondary, and primary chlorides the reduction becomes increasingly difficult due to shorter chain lengths. On the other hand, the replacement of a chlorine atom by hydrogen in polychlorinated substrates is much easier. Table 4.2 shows the rate constants for the reaction of (TMS)3Si radical with some chlorides [32]. The comparison with the analogous data of Table 4.1 shows that for benzyl and tertiary alkyl substituents the chlorine atom abstraction is 2-3 orders of magnitude slower than for the analogous bromides. 

Chlorine atoms react with aromatic hydrocarbons, but only at a significant rate with those having saturated side chains from which the chlorine atom can abstract a hydrogen or unsaturated side chains to which it can add. For example, the rate constant for the Cl atom reaction with benzene is 1.3 X 10"15 enr3 molecule-1 s-1 (Shi and Bernhard, 1997). On the other hand, the rate constants for the reactions with toluene and p-xylene are 0.59 X 10-10 and 1.5 X 10-l() enr3 molecule"1 s"1, respectively (Shi and Bernhard, 1997), and that for reaction with p-cymene is 2.1 X 10"10 cm3 molecule"1 s-1 (Finlayson-Pitts et al., 1999). Hence... 

Because many of the alternates and replacements for CFCs have an abstractable hydrogen atom, reaction with OH in the troposphere dominates their loss. Table 13.4 gives some rate constants for the reaction of OH with these compounds the kinetics summary of De-More et al. (1997) should be consulted for other compounds. It is seen that the rate constants at 298 K are typically in the range of 10-l3-10-ls cm3 molecule-1 s-1, depending on the degree of halogen substitution and the nature of the halogen, e.g., F, Cl, or Br. Typical A factors are of the order of 1 X 10 12 cm3 molecule-1 s-1 per H atom (DeMore, 1996). 

As discussed in Chapter 6, group additivity approaches have been developed for estimating the rate constants for the reactions of a variety of species such as OH with organics. DeMore (1996) has applied a similar approach for estimating the rate constants for the reaction of OH with halogenated alkanes. The rate constant per hydrogen atom at 298 K is calculated using Eq. (D) ... 

Chuang, Y.-Y., Radhakrishnan, M. L., Fast, P. L., Cramer, C. J., and Truhlar, D. G. 1999. Direct Dynamics for Free Radical Kinetics in Solution Solvent Effect on the Rate Constant for the Reaction of Methanol with Atomic Hydrogen ,. /. Phys. Chem. A, 103, 4893. 

By this technique these authors have determined the rate constants and collision yields for a number of simple olefins, substituted olefins, and some aromatic hydrocarbons. For a number of years these determinations represented the only extensive set of rate constants of hydrogen atom reactions with olefins. The technique did not differentiate between addition and abstraction by hydrogen atoms from the olefins and the rates were the sum of the two. 

Hydrogen atoms are known to react with PNP, but the rate constant of this reaction has not been measured. PNP decreases exponentially with... 

At this time, no absolute rate constants have been determined for a reaction of an aminium cation radical. However, for synthetic utility, one needs to consider the relative rate constants for competing reactions. Competition between two unimolecular reactions depends only upon the relative rate constants for the processes. For competition between a unimolecular and a bimolecular reaction whose rate constants are comparable, product distributions can easily be controlled by the concentration of the second species in the ratio of rate laws. The ratio of reaction products from cyclization (unimolecular) versus hydrogen atom trapping before cyclization (bimolecular) can be expressed by the equation %(42 + 65)/%41 = Ar/(A H[Y - H]) (Scheme 20). Competition between two bimolecular reactions is dependent on the relative rate constants for each process and the effective, or mean, concentration of each reagent. The ratio of the products from H-atom transfer trapping of the cyclized radical versus self-trapping by the PTOC precursor can be expressed by the equation %42/%65 = (kH /kT) ([Y - H]/[PTOC]). 

Absolute rate constants for intramolecular reactions of amidyl radicals have been determined by ESR spectroscopy at low temperature and extrapolated to 27°C (82JA6071). The rate constants for intramolecular 1,5-hydrogen atom abstraction, kMs, from alkyl and acyl side chains are 1 x 105 and 4 x 104 s 1, respectively. If the C-5 hydrogen on the acyl... 

Vitamin E and vitamin C are also good hydrogen atom donors in living bodies. The rate constants for the reaction of an alkyl radical and an alkoxyl radical with vitamin E are 1.7 X 106 and 3.8 X 109 M-1 s-1, respectively [58, 59]. The rate constants of hydrogen atom abstraction from R-H such as cyclopentane, 1,4-cyclohexadiene, tetrahydrofuran, Bu3SnH by tert-BuO are shown in Table 1.12. 

The rate constants for the reactions of Sill, 1 (y = 0-3) ions with PH3 in a PH3/CH3SiH3 mixture have been reported49. Just as in the NH3 reaction, an addition-elimination route by loss of H2 is the dominant pathway9,49, the only exception being SiH2+ which shows also products of hydrogen atom and proton transfer. 

A brief review of the reactions of hydrogen atoms in aqueous solutions has been published (Neta, 1972a). Rate constants for these reactions have been measured by several techniques and a compilation of the data is available (Anbar et al., 1974). Many relative rate constants have been determined by classical competition kinetics and product analysis, usually measuring G(H2) or G(H2)/G(HD). Pulse radiolysis enabled the establishment of an absolute scale for all the previous relative rates, but has been used directly with only a... 

Hydroxyl radicals ( OH) are powerful oxidants and participate in a number of reactions such as addition to the double bonds forming radical adducts, electron transfer reactions, and H-atom abstraction reaction. The rate constants for the reaction of OH radicals with organic substrates are mostly diffusion controlled (10 -10 ° M" s" ). When OH radical reacts with cellular organic molecules (RH) either by hydrogen abstraction [Eq. (4)] or by addition reaction, it leaves a radical site on the molecule (R ) and sometimes these radicals can add to the oxygen present in the cells, to be converted to peroxyl radicals [ROO, Eqs. (4) and (5)]. Rate constants for these reactions vary between 10 to diffusion-controlled limits depending on the nature and substitution on RH. °... 

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