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1 | (20) |
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1.1 Nuclear Dynamics: The Schrodinger Equation |
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5 | (7) |
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1.2 Thermal Equilibrium: The Boltzmann Distribution |
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12 | (9) |
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Further reading/references |
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15 | (1) |
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15 | (6) |
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Part I Gas-Phase Dynamics |
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2 From Microscopic to Macroscopic Descriptions |
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21 | (17) |
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2.1 Cross-Sections and Rate Constants |
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22 | (7) |
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29 | (9) |
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Further reading/references |
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36 | (1) |
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36 | (2) |
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3 Potential Energy Surfaces |
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38 | (19) |
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3.1 The General Topology of Potential Energy Surfaces |
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40 | (5) |
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3.2 Molecular Electronic Energies, Analytical Results |
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45 | (12) |
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Further reading/references |
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55 | (1) |
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55 | (2) |
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4 Bimolecular Reactions, Dynamics of Collisions |
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57 | (67) |
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4.1 Quasi-Classical Dynamics |
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58 | (41) |
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99 | (25) |
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Further reading/references |
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119 | (1) |
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119 | (5) |
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5 Rate Constants, Reactive Flux |
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124 | (35) |
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126 | (20) |
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146 | (13) |
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Further reading/references |
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157 | (1) |
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157 | (2) |
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6 Bimolecular Reactions, Transition-State Theory |
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159 | (38) |
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163 | (4) |
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6.2 A Dynamical Correction Factor |
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167 | (4) |
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6.3 Systematic Derivation |
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171 | (2) |
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6.4 Barrier Crossing, Quantum Mechanics |
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173 | (8) |
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6.5 Applications of Transition-State Theory |
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181 | (7) |
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6.6 Thermodynamic Formulation |
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188 | (9) |
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Further reading/references |
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191 | (1) |
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191 | (6) |
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197 | (49) |
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7.1 True and Apparent Unimolecular Reactions |
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199 | (7) |
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206 | (9) |
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215 | (14) |
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7.4 Collisional Energy Transfer and Reaction |
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229 | (3) |
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7.5 Detection and Control of Chemical Dynamics |
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232 | (14) |
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Further reading/references |
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242 | (1) |
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242 | (4) |
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8 Microscopic Interpretation of Arrhenius Parameters |
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246 | (13) |
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8.1 The Pre-Exponential Factor |
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247 | (2) |
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8.2 The Activation Energy |
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249 | (10) |
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255 | (4) |
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Part II Condensed-Phase Dynamics |
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9 Introduction to Condensed-Phase Dynamics |
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259 | (22) |
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9.1 Solvation: The Born and Onsager Models |
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261 | (6) |
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9.2 Diffusion and Bimolecular Reactions |
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267 | (14) |
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Further reading/references |
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279 | (1) |
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280 | (1) |
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10 Static Solvent Effects, Transition-State Theory |
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281 | (23) |
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10.1 An Introduction to the Potential of Mean Force |
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283 | (2) |
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10.2 Transition-State Theory and the Potential of Mean Force |
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285 | (19) |
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Further reading/references |
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302 | (1) |
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303 | (1) |
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11 Dynamic Solvent Effects: Kramers Theory and Beyond |
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304 | (33) |
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11.1 Brownian Motion, the Langevin Equation |
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307 | (3) |
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11.2 Kramers Theory for the Rate Constant |
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310 | (9) |
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11.3 Beyond Kramers: Grote-Hynes Theory and MD |
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319 | (18) |
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Further reading/references |
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332 | (1) |
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332 | (5) |
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Appendix A Adiabatic and Non-Adiabatic Electron-Nuclear Dynamics |
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337 | (3) |
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Appendix B Statistical Mechanics |
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340 | (15) |
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B.1 A System of Non-Interacting Molecules |
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341 | (6) |
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B.2 Classical Statistical Mechanics |
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347 | (8) |
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Further reading/references |
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354 | (1) |
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Appendix C Microscopic Reversibility and Detailed Balance |
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355 | (11) |
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C.1 Microscopic Reversibility |
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355 | (7) |
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362 | (4) |
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Furuher reading/references |
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365 | (1) |
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Appendix D Cross-sections in Various Frames |
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366 | (19) |
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D.1 Elastic and Inelastic Scattering of Two Molecules |
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367 | (11) |
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D.2 Reactive Scattering between Two Molecules |
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378 | (7) |
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Appendix E Internal Kinetic Energy, Jacobi Coordinates |
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385 | (10) |
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E.1 Diagonalization of the Internal Kinetic Energy |
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385 | (6) |
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E.2 Mass-Weighted Skewed Angle Coordinate Systems |
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391 | (4) |
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Further reading/references |
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394 | (1) |
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Appendix F Small-Amplitude Vibrations, Normal-Mode Coordinates |
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395 | (7) |
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F.1 Diagonalization of the Potential Energy |
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395 | (3) |
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F.2 Transformation of the Kinetic Energy |
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398 | (1) |
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F.3 Transformation of Phase-Space Volumes |
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399 | (3) |
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Further reading/references |
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401 | (1) |
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Appendix G Quantum Mechanics |
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402 | (19) |
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G.1 Basic Axioms of Quantum Mechanics |
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402 | (3) |
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G.2 Application of the Axioms---Examples |
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405 | (6) |
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411 | (5) |
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G.4 Time-Correlation Function of the Flux Operator |
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416 | (5) |
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Further reading/references |
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420 | (1) |
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421 | (3) |
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Appendix I Dynamics of Random Processes |
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424 | (11) |
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I.1 The Fokker-Planck Equation |
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426 | (5) |
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I.2 The Chandrasekhar Equation |
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431 | (4) |
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Further reading/references |
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434 | (1) |
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Appendix J Multidimensional Integrals, Monte Carlo Method |
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435 | (6) |
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J.1 Random Sampling and Importance Sampling |
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436 | (5) |
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Further reading/references |
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439 | (2) |
Index |
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441 | |