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 (hiraoki@eng.hokudai.ac.jp)
Course Outline:
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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