Nuclear magnetic resonance : principles and theory
Author(s)
Bibliographic Information
Nuclear magnetic resonance : principles and theory
（Studies in physical and theoretical chemistry, 72）
Elsevier , Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1990
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Note
Includes bibliographical references (p. 293-294) and index
Description and Table of Contents
Description
This volume provides the basic principles of nuclear magnetic resonance and magnetic relaxation, with the aim of helping students and researchers in various fields of science and technology to obtain a deeper understanding of the subject. It reviews the nature of spin operators and the commutation relationship between them, the behaviour of nuclear magnetism in a static field, and describes the basic theory of the resonance absorption spectrum. The book evaluates Kubo and Tomita's theory which correlates NMR lineshape with the spin Hamiltonian. It also reviews the relationship between magnetic relaxation and molecular motion and deals briefly with recently developed high resolution NMR techniques for studying solid matter. This work will prove to be an indispensable source of information for students and graduate students in chemistry and physics, and for researchers working in the field of NMR.
Table of Contents
1. The framework of quantum mechanics. Introduction. States and their superposition. Vector expression of states. Linear operator and hermitian operator. Physical quantities and their expectation values. The evolution of state. Kinematic equation of observable. 2. Spin operators and their kinetic motion. Spin operator. The Hamiltonian of a spin system and a simple interpretation of Nuclear Magnetic Resonance. Expectation and equilibrium values of magnetization. Motion of the magnetization. 3. Magnetic susceptibility and the resonance spectrum. Dynamic susceptiblity and the resonance spectrum. Magnetic susceptibilities and the transient response. Bloch's equation. 4. Line broadening due to dipole-dipole interaction. Dipole-dipole interaction operator. The moments of the spectrum for the adiabatic lattice. 5. The general theory of Nuclear Magnetic Resonance by Kubo and Tomita. Introduction. Expansion of G(t) in a power series of the perturbation. Effect of the perturbation on the absorption spectrum. Narrowing of absorption spectrum by molecular motion. Nuclear magnetic relaxation. Broadening of absorption spectra and magnetic relaxation due to the dipolar interaction. 6. Nuclear magnetic relaxation. Introduction. The eigenstates of a two spin system and the transitions between them. Transition probabilities. Effect of the dipole-dipole interaction on the transitions between states. Motion of the internuclear vectors and magnetic relaxation. 7. High resolution spectrum for solid matter. Introduction. Elimination of undesirable Hamiltonians. Anisotropy of the chemical shift. The chemical shift spectrum under different conditions. Cross-polarization. 8. Appendices. Vectors and the linear transformation. Representation of a rotation group. Examination of perturbation parameters. The rate of energy transfer by a perburbation. Matrix elements of the product of operators. The delta function and some related laws. Convolution. References. Subject index.
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