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• 9:07 PM, Tuesday, 26 Oct 2021

 Course Dual Degree (B. Tech + Master of Science / Master of Technology) Semester Electives Subject Code PH476 Subject Title Principles of Magnetic Resonance

##### 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).

##### Text Books

1. C. P. Slichter; Principles of Magnetic Resonance, Springer Series.

2. A. Abragam; Principles of Nuclear Magnetism, Oxford University Press.

3. Ray Freeman, Spin Choreography- Basic steps in high Resolution NMR, University Sciences Book

4. M. H. Levitt; Spin Dynamics-Basics of Nuclear Magnetic Resonance, Wiley