Structure of High-Resolution NMR Spectra

PrefaceChapter 1. Elementary Theory of Magnetic Resonance 1. The Physical Background 2. Classical Dynamics of Magnetic Moments in Applied Fields 3. The Resonance Phenomenon 4. The Phenomenological Theory ReferencesChapter 2. Theory of Spin Angular Momentum 1. The Vector Character of Spin Angular Momentum 2. Analysis of the Eigenvalue Problem 3. Transformation Theory ReferencesChapter 3. Quantum Mechanics of Magnetic Moments in External Fields 1. The Equation of Motion 2. Magnetic Moments in Stationary Fields 3. Magnetic Moments in Rotating Fields ReferencesChapter 4. Angular Momentum of Multispin Systems 1. Products of Vector Spaces 2. Kronecker Products of Linear Transformations 3. General Theory of Spin Angular Momentum ReferencesChapter 5. General Theory of Steady-State Spectra 1. Characteristics of High-Resolution Spectra 2. The Hamiltonian Operator and Its Properties 3. Transition Probabilities 4. Theory of Magnetically Equivalent Nuclei ReferencesChapter 6. Systems with Two Groups of Magnetically Equivalent Nuclei 1. The AB System 2. The A2B System 3. The General AnAB System 4. The AnAB2 System ReferencesChapter 7. Perturbation and Moments Calculations 1. Perturbation Theory 2. The X Approximation and Its Generalizations 3. The AnABXnX System 4. Moment Analysis of High-Resolution Spectra ReferencesChapter 8. The Analysis of Symmetrical Spin Systems 1. Properties of Finite Groups 2. Elements of Representation Theory 3. Symmetrization of Basis Vectors 4. Systems Containing Symmetrically Equivalent Groups 5. The X Approximation for Symmetrical Systems ReferencesChapter 9. Multiple Quantum Transitions, Double Resonance and Spin Echo Experiments 1. Multiple Quantum Transitions 2. Double Resonance Experiments 3. Spin Echo Experiments ReferencesAppendix I. Some Definitions and Theorems of Linear Algebra 1. Mathematical Notation 2. Vector Spaces 3. Linear Transformations 4. Diagonalization of Commuting MatricesAppendix II. Three-Dimensional Orthogonal TransformationsAppendix III. Exponential Operators 1. Definition and Elementary Properties 2. Expansion of eA+B ReferencesAppendix IV. The Difference Equation of Laplace ReferenceAppendix V. Trace CalculationsAppendix VI. Numerical Data for Some Two-Group SystemsAuthor IndexSubject Index