NMR of Chemically Exchanging Systems

NMR of Chemically Exchanging Systems presents an integrated density matrix formalism for calculating NMR lineshapes for all types of exchanging systems. This book explores a variety of conditions, which is applicable to both liquids and liquid crystals. Organized into nine chapters, this book begins with an overview of the derivation of the absorption due to a single spin utilizing the classical Bloch equation as a means for introducing some of the concepts concerned in obtaining the absorption lineshape. This text then examines the derivation of the total density matrix equation. Other chapters consider the density matrix equation for a general exchanging system at high rf power and illustrate how one has to solve for all the elements of the density matrix. The final chapter presents some remarks on transients as applied to chemically exchanging systems. This book is a valuable resource for scientists and researchers who are interested in NMR spectroscopy.

Table of Contents:
PrefaceChapter I Introduction 1. Historical Introduction 2. The Bloch Equations Problems References General ReferencesChapter II Density Matrix 1. The Density Matrix Equation 2. Average Values of Operators 3. Summary Appendix Problems General ReferencesChapter III Density Matrix Treatment of the Single Absorption Peak Summary Appendix Problems ReferencesChapter IV Relaxation 1. The Relaxation Operator 2. Relaxation Mechanisms 3. Recapitulation of Section 1 and Summary Appendix A. A Theorem about the Trace Appendix B. Glossary of Symbols Problems References General ReferencesChapter V Chemical Reorganization 1. The Effects of Rate Processes 2. Permutation of Indices Method 3. The More Common Exchange Steps and Their ?(col) Functions 4. Systems Undergoing More than One Exchange Process 5. The Question of Bilinear Terms in E?, SNOB Approximation 6. Alternative Evaluation of ?(col), Forward in Time 7. Summary Problems ReferencesChapter VI NMR Lineshapes for Exchanging Systems under Conditions of Low rf Power 1. Introduction 2. Final Form of the Density Matrix Equation at Low rf Power 3. Exchanging Systems 4. Relaxation 5. Quadrupolar Nuclei 6. Effect of Intermediates on NMR Lineshapes 7. NMR Lineshapes of Solutes in the Nematic Phase 8. Experimental Problems 9. Summary Problems ReferencesChapter VII NMR of Exchanging Systems at High rf Fields Problem ReferencesChapter VIII Double Resonance 1. Theory of NMDR Lineshapes 2. Overhauser Effect 3. Experimental NMDR Lineshapes in Exchanging Systems Appendix A. Double Resonance Hamiltonian in the Rotating Frame Appendix B. Glossary of Symbols Problem ReferencesChapter IX Transient Effects 1. Introduction 2. Fourier Relation of the Free Induction Decay to the Low Power Absorption 3. Saturation Decay in an Exchanging System Detected by a Small rf Field Problems ReferencesIndex