Gaseous Ion Mobility, Diffusion, and Reaction (eBook)

Larry Viehland has been a Professor of Chemistry in the Department of Science at Chatham University since 1999, and was Chair of the Department of Science from 1999 to 2015. He previously held positions at Saint Louis University and Brown University, in addition to numerous visiting professorships around the world, following the completion of his PhD at the University of Wisconsin-Madison. His research is concerned with the development and application of kinetic theories that accurately describe the transport and reaction-rate coefficients of ions in gases and with developing and testing ion-neutral interaction potentials.

Tentative Table of Contents. 1/1/18PrefaceCh. 1: Introduction1. Definition and Importance of Swarms2. Air and Vacuum Pumps3. Static Electricity4. Current Electricity5. Faraday’s Laws of Electricity6. Electrical Conduction7. Ions8. Ion Swarms, 1896-19289. Ion Diffusion, 1855-192610. Electron Swarms, 1900-192211. Early Kinetic Theory, 1905-193112. Mass Spectrometers13. Ion Swarms, 1928-196014. Electron Swarms, 1922-196515. Electron and Ion Swarms, 1960-197516. Atomic Ion-Atom Kinetic Theory17. Ion-Neutral Reactions18. Improved Kinetic Theories19. Generalized Einstein Relations20. Transport with Molecular SystemsCh. 2: Experiments and Elementary Theory1. General Assumptions2. Basics of Drift Tubes3. Drift-Tube Mass Spectrometers4. Plasma Chromatographs/Ion Mobility Spectrometers5. Qualitative Momentum-Transfer TheoriesCh. 3: Momentum-Transfer Theory1. Essentials of Momentum-Transfer Theory2. Relative Speed3. Cross Sections(a) Momentum Transfer in a Collision(b) Average Momentum Transfer4. Average Ion Momentum Lost in a Collision(a) Average Drift Speed between Collision(b) Classification of Collisions(c) Archetype Collisions5. Fundamental Ion Mobility Equation6. DiscussionCh. 4: The Boltzmann Equation1. General Form2. The Non-Reactive Collision Term3. Reactive Collision Terms4. Properties of an Ion Ensemble5. Quantum-Mechanical Effects6. The Maxwell Model7. Rate Equation of ContinuityCh. 5: Moment Method for Solving the Boltzmann Equation1. Introduction2. Cautionary Notes about Moment Methods3. General Moment Equations4. Successive Approximations5. Solutions by the Method of Weighted Residuals6. Basis Functions in General7. One-Temperature Basis Functions8. Two-Temperature Basis Functions9. Matrix Elements in the Two-Temperature Method10. Successive Approximations to the Mobility, Diffusion and Reaction-Rate Coefficients11. Three-Temperature Basis Functions12. Three-Temperature Numerical ResultsCh. 6: Gram-Charlier Approach to Ion-Molecule ReactionsCh. 7: Connections with Atomic Ion-Atom Interaction Potentials1. Ab Initio Ion-Neutral Interaction Potentials2. Transport Cross Sections and Computer Program PC3. Kinetic Theory using Gram-Charlier Approach and Computer Program GC4. Zero-Field Mobilities5. Field-Dependent Mobilities6. Status of Tests of Interaction PotentialsCh. 8: Molecular Ion and Neutrals1. Visualization of Atomic Ion Velocity Distribution Functions2. Implications for Ion-Molecule Reactions in the Upper Atmosphere3. Extensions of the Boltzmann Equation4. Ab Initio Calculations for Atomic Ions in Diatomic Neutrals5. Ab Initio Calculations for Diatomic Ions in Atomic Neutrals6. A Simple Way Forward: The Monchick-Mason Approximation7. Beyond the Monchick-Mason Approximation Ch. 9: Summary and PrognosisAppendix A: MathematicsIndex