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Chemical Kinetics and Reaction Dynamics
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Contents
Prefacevii
1.Elementary1
1.1Rate of Reaction1
1.1.1Experimental Determination of Rate2
1.2Rate Constant3
1.3Order and Molecularity4
1.4Rate Equations6
1.4.1Integral Equations for nthOrder Reaction of a Single Reactant6
1.4.2Integral Equations for Reactions Involving More than One Reactants7
1.5Half-life of a Reaction8
1.6Zero Order Reactions10
1.7First Order Reactions12
1.8Radioactive Decay as a First Order Phenomenon17
1.9Second Order Reactions20
1.10Third Order Reactions28
1.11Determination of Order of Reaction30
1.11.1Integration Method30
1.11.2Half-life Period Method34
1.11.3Graphical Method34
1.11.4Differential Method35
1.11.5Ostwald Isolation Method35
1.12Experimental Methods of Chemical Kinetics39
1.12.1Conductometric Method39
1.12.2Polarographic Technique40
1.12.3Potentiometrie Method41
1.12.4Optical Methods42
1.12.5Refractometry42
1.12.6Spectrophotometry43
Exercises44
2.Temperature Effect on Reaction Rate46
2.1Derivation of Arrhenius Equation46
2.2Experimental Determination of Energy of Activation and Arrhenius Factor48
2.3Potential Energy Surface50
2.4Significance of Energy of Activation51
Exercises53
3.Complex Reactions55
3.1Reversible Reactions55
3.1.1Reversible Reaction When Both the Opposing Processes are Second Order57
3.2Parallel Reactions59
3.2.1Determination of Rate Constants59
3.3Consecutive Reactions63
3.3.1Concentration-Time Relation64
3.4Steady-State Treatment66
3.5Chain Reactions67
3.5.1Rate Determination68
3.5.2Reaction between H2and Br2 69
3.5.3Chain Length70
3.5.4Chain Transfer Reactions70
3.5.5Branching Chain Explosions70
3.5.6Kinetics of Branching Chain Explosion71
3.5.7Free Radical Chains72
3.5.8Chain Length and Activation Energy in Chain Reactions75
Exercises76
4.Theories of Reaction Rate79
4.1Equilibrium and Rate of Reaction79
4.2Partition Functions and Statistical Mechanics of Chemical Equilibrium80
4.3Partition Functions and Activated Complex82
4.4Collision Theory83
4.4.1Collision Frequency84
4.4.2Energy Factor86
4.4.3Orientation Factor87
4.4.4Rate of Reaction87
4.4.5Weakness of the Collision Theory88
4.5Transition State Theory89
4.5.1Thermodynamic Approach91
4.5.2Partition Function Approach93
4.5.3Comparison with Arrhenius Equation and Collision Theory93
4.5.4Explanation for Steric Factor in Terms of Partition Function94
4.5.5Reaction between Polyatomic Molecules95
4.6Unimolecular Reactions and the Collision Theory100
4.6.1Lindemann's Mechanism100
4.6.2Hinshelwood Treatment103
4.6.3Rice and Ramsperger, and Kassel (RRK) Treatment105
4.6.4Marcus Treatment106
4.6.5RRKM Theory107
4.7Kinetic and Thermodynamic Control109
4.8Hammond's Postulate110
4.9Probing of the Transition State111
Exercises113
5.Kinetics of Some Special Reactions115
5.1Kinetics of Photochemical Reactions115
5.1.1Grotthuss-Draper Law115
5.1.2Einstein Law of Photochemical Equivalence115
5.1.3Primary Process in Photochemical Reactions116
5.1.4H2-Br2Reaction118
5.1.5H2and Cl2Reaction119
5.2Oscillatory Reactions120
5.2.1Belousov-Zhabotinskii Reaction122
5.3Kinetics of Polymerization124
5.3.1Step Growth Polymerization125
5.3.2Polycondensation Reactions (in Absence of the Catalyst)125
5.3.3Acid Catalyzed Polycondensation Reaction126
5.3.4Chain Growth Polymerization127
5.3.5Kinetics of Free Radical Polymerization127
5.3.6Cationic Polymerization130
5.3.7Anionic Polymerization131
5.3.8Co-polymerization132
5.4Kinetics of Solid State Reactions135
5.5Electron Transfer Reactions139
5.5.1Outer Sphere Mechanism139
5.5.2Inner Sphere Mechanism140
Exercises141
6.Kinetics of Catalyzed Reactions142
6.1Catalysis142
6.1.1Positive Catalysis142
6.1.2Negative Catalysis143
6.1.3Auto Catalysis143
6.1.4Induced Catalysis144
6.1.5Promoters144
6.1.6Poisons144
6.2Theories of Catalysis145
6.2.1Intermediate Compound Formation Theory145
6.2.2Adsorption Theory145
6.3Characteristics of Catalytic Reactions146
6.4Mechanism of Catalysis147
6.5Activation Energies of Catalyzed Reactions149
6.6Acid Base Catalysis150
6.7Enzyme Catalysis152
6.7.1Influence of pH154
6.8Heterogeneous Catalysis156
6.9Micellar Catalysis159
6.9.1Models for Micellar Catalysis161
6.10Phase Transfer Catalysis165
6.10.1General Mechanism166
6.10.2Difference between Micellar and Phase Transfer-Catalyzed Reactions167
6.11Kinetics of Inhibition168
6.11.1Chain Reactions168
6.11.2Enzyme Catalyzed Reactions169
6.11.3Inhibition in Surface Reactions172
Exercises173
7.Fast Reactions175
7.1Introduction175
7.2Flow Techniques176
7.2.1Continuous Flow Method177
7.2.2Accelerated Flow Method178
7.2.3Stopped Flow Method178
7.3Relaxation Method179
7.4Shock Tubes181
7.5Flash Photolysis182
7.6ESR Spectroscopic Technique183
7.7NMR Spectroscopic Techniques183
Exercises184
8.Reactions in Solutions185
8.1Introduction185
8.2Theory of Absolute Reaction Rate185
8.3Influence of Internal Pressure187
8.4Influence of Solvation187
8.5Reactions between Ions187
8.6Entropy Change189
8.7Influence of Ionic Strength (Salt Effect)190
8.8Secondary Salt Effect192
8.9Reactions between the Dipoles193
8.10Kinetic Isotope Effect195
8.11Solvent Isotope Effect197
8.12Hemmett Equation198
8.13Linear Free Energy Relationship199
8.14The Taft Equation200
8.15Compensation Effect201
Exercises202
9.Reaction Dynamics204
9.1Molecular Reaction Dynamics204
9.2Microscopic-Macroscopic Relation205
9.3Reaction Rate and Rate Constant207
9.4Distribution of Velocities of Molecules209
9.5Rate of Reaction for Collisions with a Distribution of Relative Speeds209
9.6Collision Cross Sections210
9.6.1Cross Section for Hard Sphere Model210
9.6.2Collision between Reactive Hard Spheres211
9.7Activation Energy213
9.8Potential Energy Surface216
9.8.1Features of Potential Energy Surface219
9.8.2Ab initio Calculation of Potential Energy Surface222
9.8.3Fitting of ab initio Potential Energy Surfaces225
9.8.4Potential Energy Surfaces for Triatomic Systems226
9.9Classical Trajectory Calculations229
9.9.1Initial State Properties230
9.9.2Final State Properties232
9.9.3Calculation of Reaction Cross Section232
9.10Potential Energy Surface and Classical Dynamics234
9.11Disposal of Excess Energy239
9.12Influence of Rotational Energy240
9.13Experimental Chemical Dynamics241
9.13.1Molecular Beam Technique241
9.13.2Stripping and Rebound Mechanisms243
9.13.3State-to-State Kinetics244
9.13.4Suggested Readings247
Index251




 
   


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