Density matrix formulation of NMR theory; spectroscopy of simple spin systems and spin-dependent interactions; relaxation theory; spin temperature; dipolar broadening in solids; NMR of soft condensed matter systems; practical aspects of high-fidelity solid-state NMR; NMR spectrometer design; NMR imaging and microscopy.

• Introduction
  • spin angular momentum
  • a review of Quantum Mechanics
  • pure and mixed states
  • the density operator
  • expectation values and ensemble averages
  • liouville equation
  • operator space
  • Liouvillian and [time] propagators
• Spin $$I=1$$ system
  • quadrupolar interaction
• Coupled spin systems
  • chemical shifts
  • dipolar interactions
• Practical aspects of NMR
  • cw and pulsed
  • causal and linear nature of NMR signals
  • FID - free induction decay
  • $$T_1$$ and $$T_2$$
  • echoes
  • Fourier Transform NMR
  • NMR spectrometer design
  • computers and digital data acquisition
• Liquids
• Solids
  • dipolar broadening in solids
  • method of moments
  • homogeneous and inhomogeneous broadening
  • magic-angle spinning
• Advanced topics
  • 2D (3D,4D,...) NMR
  • multiple-quantum coherence
  • stochastic NMR
  • PFG (pulsed field gradient) and diffusion
  • MRI = NMR imaging

Maple will be used for spin and density-matrix calculations.

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