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.

Preface

Chapter I Introduction

1. Historical Introduction

2. The Bloch Equations

Problems

References

General References

Chapter II Density Matrix

1. The Density Matrix Equation

2. Average Values of Operators

3. Summary

Appendix

Problems

General References

Chapter III Density Matrix Treatment of the Single Absorption Peak

Summary

Appendix

Problems

References

Chapter 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 References

Chapter V Chemical Reorganization

1. The Effects of Rate Processes

2. Permutation of Indices Method

3. The More Common Exchange Steps and Their ρ(col) Functions

4. Systems Undergoing More than One Exchange Process

5. The Question of Bilinear Terms in Eρ, SNOB Approximation

6. Alternative Evaluation of ρ(col), Forward in Time

7. Summary

Problems

References

Chapter 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

References

Chapter VII NMR of Exchanging Systems at High rf Fields

Problem

References

Chapter 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

References

Chapter 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

References

Index