ABSTRACT

I. Introduction ...................................................................................................................... 580

II. Previous Reviews ............................................................................................................. 583

III. Validation Against Accurate Quantum Mechanical Dynamics ...................................... 583

IV. Theory .............................................................................................................................. 584

A. Gas Phase ................................................................................................................. 584

B. Reactions in the Solid State and at Solid Surfaces ................................................. 590

C. Reaction in Liquids .................................................................................................. 591

1. Solute-Solvent Separation................................................................................ 591

2. Reaction Coordinates and Nonequilibrium Solvation ...................................... 592

3. VTST/MT Methods for Condensed-Phase Reactions ...................................... 594

a. Implicit Bath................................................................................................ 594

b. Reduced-Dimensionality Bath .................................................................... 595

c. Explicit Bath................................................................................................ 596

D. Reactions in Enzymes.............................................................................................. 599

V. Applications to KIEs........................................................................................................ 600

A. Gas Phase ................................................................................................................. 600

B. KIEs in Liquid Phase ............................................................................................... 603

C. Enzymes ................................................................................................................... 603

VI. Software............................................................................................................................ 605

VII. Concluding Remarks........................................................................................................ 605

Acknowledgments ........................................................................................................................ 606

Glossary ........................................................................................................................................ 606

References..................................................................................................................................... 607

The theory of absolute reaction rates, or transition-state-theory, forms the basis of

almost all of our discussions of isotope effects in chemical reactions.