Table Of ContentH A N D B O O K  OF 
ANTIOXIDANTS 
Bond Dissociation Energies, 
Rate Constants, 
Activation  Energies 
and 
Enthalpies  of Reactions 
Evguenii Denisov 
Boca Raton  London  New York
CRC Press 
CRC Press is an imprint of the
Boca RaTtaoynlo r &N Freawnc isY Gororukp , anL inofonrdmoa nb usinTesoskyo
First published 1995 by CRC Press
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Library of Congress Cataloging-in-Publication Data
Denisov, E.T. (Evguenii Timofeevich)
    Handbook of antioxidants : bond dissociation energies, rate
   constants, activation energies, and enthalpies of reactions /
    Evguenii T. Denisov.
      p.    cm.
   Includes bibliographical references and index.
   ISBN 0-8493-9426-0 (alk. paper)
   1. Antioxidants—Handbooks, manuals, etc.    I. Title.
  QD281.O9D45   1995
  547’.23—dc20   95-21651
 
A Library of Congress record exists under LC control number: 95021651
Publisher’s Note
The publisher has gone to great lengths to ensure the quality of this reprint but points out that some imperfections in the original copies 
may be apparent.
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The publisher has made every effort to trace copyright holders and welcomes correspondence from those they have been unable to 
contact.
ISBN 13: 978-1-315-89327-3 (hbk)
ISBN 13: 978-1-351-07237-3 (ebk)
Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the
CRC Press Web site at http://www.crcpress.com
/ dedicate this handbook to the memory 
of Viktor Kondratev, who inspired me 
to work in the field of 
quantitative kinetic information.
PREFACE 
The  objective of this Handbook is to provide scientific workers and engineers working 
in the field of physical chemistry of antioxidants with the comprehensive data on the bond 
dissociation energies of reactions flowing in oxidizing substances in the presence of inhibitors. 
Autoxidation of  hydrocarbons and other organic compounds  is  a  reaction of  unique 
importance  for  mankind and  all  living  organisms  on  the  earth.  Oxidation of  organic 
compounds is one of the important routes of organic synthesis in modern chemical industry. 
At  the same time  autoxidation  is detrimental in some cases.  Keeping and using various 
chemical products in air often results in their rapid deterioration.  There are many such 
products, including fuels, lubricant oils, rubber, polymers, chemicals, solvents, food stuffs, etc. 
For this reason, a very important branch of applied science is the chemistry of antioxidants. 
During the last 30 years free radical reactions of antioxidants were intensively studied 
by different kinetics methods, and rate constants of hundreds of reactions of peroxyl radicals 
with phenols, amines etc. were measured. These data constitute the basic ground for kinetic 
analysis of systems of the type RH + 0   + antioxidants. However many important reactions 
2
of antioxidants and their intermediates have not been characterized with kinetic parameters. 
This problem may be solved by using semiempirical methods of rate constants evaluation. 
The parabolic model of transition state of free radical reaction was chosen in this Handbook 
to solve this problem. So the Handbook contains tables with experimentally measured rate 
constants as well as with those calculated by formulas of parabolic model. 
The  following  data  are  collected  in  this  Handbook:  Bond  dissociation  energies 
of antioxidants  such as phenols  (O—H-bonds), aromatic amines  (N—H-bonds), hydroxyl 
amines  (O—H-bonds), thiophenols  (S—H-bonds); activation energies  and rate  constants 
of reactions of peroxyl radicals with antioxidants; rate constants of reaction of phenoxyl, 
aminyl and nitroxyl radicals with RH,  ROOH,  phenols, thiophenols,  amines and hydroxyl 
amines; rate constants  of reactions of antioxidants with hydroperoxides and oxygen. All 
information on RH oxidation and antioxidants is divided in to 7 chapters. The first is devoted 
to  short  description  of  mechanism  and  kinetics  of  autoxidation  of  hydrocarbons 
in the presence of antioxidants , including mechanisms of cyclic chain termination by some 
inhibitors. It contains the description of the parabolic model of transition state and main 
formulas for rate constants  calculation. The values of rate constants  of elementary steps 
of hydrocarbon autoxidation as well as that of initiators decay, are given in the second chapter. 
Chapters 3-7  include the thermodynamic and kinetic parameters of reactions of phenols, 
aromatic  amines,  hydroxylamines,  thiophenols,  thiocarbamates  and  thiophosphates, 
that are involved in oxidation of hydrocarbons with these compounds. 
Symbols and units used in Handbook are in accordance with IUPAC  recommendation 
written in the  manual, Quantities Units and Symbols  in Physical Chemistry, Blackwell 
Scientific Publications, London, 1988.
Preface 
All comments,  critical notes, and suggestions will be welcomed by the author. Address 
to send comments to author is the following: Institute of Chemical Physics, Chernogolovka, 
Moscow Region, 142432, Russia and E-mail: [email protected] 
I  especially  thank  Taissa  G.  Denisova  for  her  very  valuable  help  in  preparing 
this manuscript. 
I am indebted to Vladimir E. Denisov and Sergey V. Foraponov for their help and advice 
on Microsoft Word Windows. 
Finally I am grateful to Lyudmila N. Pilipetskaya for her rapid and accurate typing. 
Chernogolovka, Moscow Region  Evguenii T. Denisov 
June 19, 1995
CONTENTS 
PREFACE 
LIST OF CHEMICAL SYMBOLS 
LIST OF PHYSICO-CHEMICAL SYMBOLS 
Chapter  1  KINETICS AND  MECHANISM  OF  INHIBITED  OXIDATION 
OF  HYDROCARBONS  1 
1.1  Mechanism of autoxidation of hydrocarbons  1 
1.2  Mechanism  of  hydrocarbon  oxidation  inhibited  by  acceptors 
of peroxyl radicals  2 
1.3  Kinetics of inhibited autoxidation of hydrocarbons  5 
1.4  Mechanisms of cyclic chain termination  8 
1.5  The  parabolic  transition  state  model  as  semiempirical  method 
of  evaluation  of  activation  energies  of  free  radical  reactions 
with hydrogen atom abstraction  14 
REFERENCES  17 
Chapter  2  RATE  CONSTANTS  OF ELEMENTARY STEPS  OF  CHAIN 
OXIDATION OF HYDROCARBONS  19 
Table  2.1  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
R0 '+  RH -> ROOH + R*, E  calculated by formulas  1.15-1.17, 
2
1.21. The values of A,  br and a, see Table 1.6  19 
e
Table  2.2  Rate constants of isomerization and monomolecular  decomposition 
of peroxyl radicals  23 
Table  2.3  Rate  constants  of  addition  of  peroxyl  radicals  to  double  bond 
of olefins  24 
Table  2.4  Rate constants of addition of alkyl radicals to molecular oxygen  27 
Table  2.5  Rate constants of recombination and disproportionation  of peroxyl 
radical in hydrocarbon solutions  27 
Table  2.6  Rate  constants  of  disproportionation  of  two  peroxyl  radicals 
of different structure  30 
Table  2.7  Rate constants of decomposition of azo-compounds into free radicals 
in liquid phase  32 
Table  2.8  Rate constants  of  decomposition  of  peroxides  into  free  radicals 
in liquid phase  33 
Table  2.9  Rate constants  of monomolecular  decay of hydroperoxides  in gas 
phase and aromatic solvents  35 
Table 2.10  Rate constants  and activation  energies of free  radical formation 
by reaction ROOH + Y ->• free radicals  35
Contents 
Table 2.11  Rate  constants  and  activation  energies  of  reaction 
RH + 0  -» R* + H0 *  37 
2 2
Table 2.12  Rate  constants  and  activation  energies  of  trimolecular  reaction 
2 RH + 0  -> free radicals  38 
2
REFERENCES  39 
Chapter  3  BOND  DISSOCIATION  ENERGIES  AND RATE  CONSTANTS 
OF REACTIONS OF PHENOLS  47 
Table  3.1  O—H-Bond dissociation energies of phenols  47 
Table  3.2  Enthalpies,  activation  energies  and  rate  constants  of  reactions 
of peroxyl radicals with phenols  (Ar,OH) in hydrocarbon solutions 
calculated by formulas  1.15-1.17 and 1.21.  The values of A,  br
e 
and a, see Table 1.6  56 
Table  3.3  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of  peroxyl  radicals  with  sterically  hindered  phenols  (ArOH) 
2
in hydrocarbon solutions calculated by formulas 1.15-1.17 and 1.21. 
The values of A,  br and a, see Table 1.6  59 
e
Table  3.4  Enthalpies,  activation  energies  and  rate  constants  of  reactions 
of  phenoxyl  radicals  (AriO*)  with  secondary  and  tertiary 
hydroperoxides  in  hydrocarbon  solutions  calculated  by  formulas 
1.15-1.17 and 1.21. The values of ^4, br and a, see Table 1.6  63 
e
Table  3.5  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of sterically hindered phenoxyls (Ar0*) with secondary and tertiary 
2
hydroperoxides  in  hydrocarbon  solutions  calculated  by  formulas 
1.15-1.17 and 1.21. The values of A,  br and a, see Table 1.6  65 
e
Table  3.6  Enthalpies,  activation  energies  and  rate  constants  of  reactions 
of phenoxyls (AriO*) with cumene calculated by formulas 1.15-1.17 
and 1.20.The values oL4, br and a, see Table 1.6  68 
e
Table  3.7  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of />ara-methoxyphenoxyl  radical (A^O") with sterically hindered 
phenols  (ArOH) in hydrocarbon solutions  calculated by formulas 
2
1.15-1.17 and 1.21. The values of A,  br and a, see Table 1.6  70 
e
Table  3.8  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of 2,4,6-tert-butylphenoxyl  radical  (Ar0*)  with different  phenols 
2
(AriOH) in hydrocarbon solutions calculated by formulas 1.15-1.17 
and 1.21. The values of A,  br and a, see Table 1.6  71 
e
Table  3.9  Rate  constants  of  reaction  of  phenoxyl  radicals  with  peroxyl 
radicals in hydrocarbon solutions, Ci4H 0 * — peroxyl radical from 
n 2
9,10-dihydroanfhracene  73 
Table 3.10  Rate constants of recombination and disproportionation of phenoxyl 
radicals  in  hydrocarbon  solutions  measured  by  flash  photolysis 
technique  74 
Table 3.11  Rate  constants  of  disproportionation  of  two  different  phenoxyl 
radicals in hydrocarbon solutions  75 
Table 3.12  Activation  energies  and  rate  constants  of  reaction  of  phenols 
(AriOH) with 0   in hydrocarbon solutions  calculated by formula 
2
1.17 alA  = 10101 mol"1 s"1 and E = AH  76
Contents 
Table 3.13  Activation  energies  and  rate  constants  of  reaction  of  sterically 
hindered  phenols  (ArOH)  with  0   in  hydrocarbon  solutions 
2 2
calculated by formula 1.17 at A = 1010 1 mol"1 s"1 and E = AH  78 
Table  3.14  Rate constants of reaction of phenols with hydroperoxides  79 
Table 3.15  Rate  constants,  preexponential  factors  and  activation  energies 
of decay of quinolide peroxides ROOR; in benzene at 363 K  80 
Table 3.16  The  values  of  stoichiometric  coefficients  of  chain  termination 
by phenols in oxidizing substances RH  81 
REFERENCES  83 
Chapter  4  BOND  DISSOCIATION  ENERGIES  AND RATE  CONSTANTS 
OF REACTIONS OF AROMATIC AMINES  85 
Table  4.1  Dissociation energies of N—H-bonds in aromatic amines  85 
Table  4.2  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of  peroxyl  radicals  (R0*)  with  aromatic  amines  calculated  by 
2
formulas  1.15-1.17  and  1.20.  The  values  of  A,  br  and  a, 
e
see Table 1.6  87 
Table  4.3  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of  aminyl  radicals  with  secondary  and  tertiary  hydroperoxides 
calculated by formulas  1.15-1.17 and 1.20.  The values of A,  br
e 
and a, see Table 1.6  90 
Table  4.4  Enthalpies,  activation  energies  and  rate  constants  of  reaction 
of  diphenylaminyl  radical  with  alkylaromatic  hydrocarbons 
calculated by formulas  1.15-1.17 and  1.20.  The values of A,  br
e 
and a, see Table 1.6  92 
Enthalpies,  activation  energies  and  rate  constants  of  reaction 
Table  4.5 
of aminyl radicals with cumene  calculated by formulas  1.15-1.17 
and  1.20. The values of A,  br and a, see Table 1.6  93 
e
Rate constants  of recombination and disproportionation  of aminyl 
Table  4.6 
radicals  in  hydrocarbon  solutions  measured  by  flash  photolysis 
technique. Products and mechanism see in papers  94 
Rate  constants  of  reaction  of  paradisubstituted  diphenylaminyl 
Table  4.7 
radicals  with  phenols  in  decane  estimated  by  laser 
photolysis technique  95 
Enthalpies,  activation  energies  and  rate  constants  of  reaction 
Table  4.8 
between diphenylaminyl  radical  and  aromatic  amines  calculated 
by  formulas  1.15-1.17  and  1.21.  The values  of A,  br„ and  a, 
see Table 1.6  96 
Rate  constants  of  reaction  of  aromatic  amines  with  oxygen: 
Table  4.9 
AmH  +  0   ->•  Am*  +  H0*  calculated  by  formula  1.17 
2 2
with A = 3 x 1010 1 moP1 s"1 per one N—H-bond and E = AH  97 
The  values  of nonstoichiometric  coefficients of chain termination 
Table 4.10 
by  aromatic  amines  in  oxidizing  substances  RH  with  cyclic 
chain termination  98 
REFERENCES  99