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Physical Chemistry 3: — Chemical Kinetics — - Christian-Albrechts ...

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iv<br />

4.7 NMR spectroscopy 87<br />

4.8 Relaxation methods 88<br />

4.9 Femtosecond spectroscopy 89<br />

4.10 References 93<br />

5 Collision theory 94<br />

5.1 Hard sphere collision theory 95<br />

5.1.1 The gas kinetic collision frequency 95<br />

5.1.2 Allowance for a threshold energy for reaction 99<br />

5.1.3 Allowance for steric hindrance 100<br />

5.2 Kinetic gas theory 101<br />

5.2.1 The Maxwell-Boltzmann speed distributions of gas molecules in 1D and 3D 101<br />

5.2.2 The rate of wall collisions in 3D 106<br />

5.3 Transport processes in gases 110<br />

5.3.1 The general transport equation 110<br />

5.3.2 Diffusion 112<br />

5.3.3 Heat conduction 113<br />

5.3.4 Viscosity 114<br />

5.4 Advanced collision theory 115<br />

5.4.1 Fundamental equation for reactive scattering in crossed molecular beams 116<br />

5.4.2 Crossed molecular beam experiments 117<br />

5.4.3 From differential cross sections () to reaction rate constants ( ) 120<br />

5.4.4 Laplace transforms in chemistry 121<br />

5.4.5 Bimolecular rate constants from collision theory 123<br />

5.4.6 Long-range intermolecular interactions 132<br />

6 Potential energy surfaces for chemical reactions 138<br />

6.1 Diatomic molecules 138<br />

6.2 Polyatomic molecules 139<br />

6.3 Trajectory Calculations 143<br />

7 Transition state theory 146<br />

7.1 Foundations of transition state theory 146<br />

7.1.1 Basic assumptions of TST 147

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