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Subject Group of Applied Physics 3811 Molecular Structures Summer Description and rationale: Nuclear magnetic resonance (NMR) is a resonance method as a probe with nuclear spins applicable to a multi-disciplinary field to determine molecular structures and molecular dynamics. The aim of this course is to provide the fundamental principles and concepts in NMR needed for an understanding of the subject. After reviewing the several essential principles and product operator formalism, recent development of solid-state NMR and NMR imaging will be presented. Keywords: Spin, NMR, Fourier transform, pulse, relaxation, density matrix, coherence, magnetic interaction, imaging Pre-requisite: elementary quantum mechanics and elementary statistical mechanics Expected students: master and doctoral Instructor: Prof. Toshifumi HIRAOKI ([email protected]) Course Outline: 1. 2. 3. 4. 5. 6. Basics of NMR magnetic moment and angular moment, Bloch equation, relaxation, rotation frame, pulse, radio frequency field, FT-NMR Quantum mechanical picture of nuclear spin and density matrix spin, density matrix, time evolution of the density matrix Product operator two-spin system, spin-echo, multi-quantum transition, polarization transfer, coherence, two-dimensional NMR Nuclear spin interactions Zeeman interaction, dipolar interaction, chemical shift interaction, spin-spin interaction, quadrupolar interaction Solid state NMR dipolar interaction, double resonance and decoupling, magic angle spinning, cross-polarization NMR imaging magnetic field gradient, shaped pulse, fMRI Grading: Based on results of homework during the course (60%) and final examination (40%). Textbooks and references: handouts are provided at each lecture. for references: M. H. Levitt, "Spin Dynamics", John Wiley, ISBN 0471489220 C. P. Slichter, "Principles of Magnetic Resonances", 3rd ed., Springer-Verlag, ISBN 0387501576 1/2010