Syllabus

Elements of Resonance: Introduction, Simple resonance theory, Absorption of energy and spin-lattice relaxation. Basic theory: Motion of isolated spins – Classical treatment, Quantum mechanical description of spin in a static field, Equations of motion of the expectation value, Effect of Alternating Magnetic Fields, Exponential Operators, Quantum mechanical treatment of a rotting magnetic field, Bloch equations, Solution of the Bloch equations for low H1, Spin Echoes, Quantum mechanical treatment of the spin echo. Magnetic dipolar broadening of Rigid Lattices: Introduction, Basic Interaction, Method of moments, Examples of the use of second moments. Magnetic interaction of nuclei with electrons: Introduction, Experimental facts about chemical shifts, Quenching of orbital motion, Formal theory of chemical shifts, Electron spin interaction, Single Crystal, Second order spin effects – indirect nuclear coupling. Pulsed and Fourier Transform NMR: Introduction, Density matrix – general equations, The rotating coordinate transformation, Spin echoes using the density matrix, Response to a delta – function, Response to a  /2 pulse, Density matrix of a two level system, Effect of applied alternating fields, Two dimensional Fourier Transform – the basic concept, Two dimensional Fourier Transform spectrum- line shapes, Time development of the density matrix, coherence transfer, The product operator approach in NMR, Shift Correlation Experiment (COSY). Double Resonance – principles, The Insensitive Nuclei Enhancement by Polarization Transfer (INEPT), The hetero-nuclear Single Quantum coherence (HSQC).