PHYS 5P76 - Nuclear Magnetic Resonance
Instructor: E.Sternin
Calendar entry

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.

Course outline
  • 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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  • C.P.Slichter (1990). Principles of magnetic resonance, 3rd ed. Springer-Verlag, Berlin.
  • M.H.Levitt (2001). Spin dynamics. J.Wiley & Sons, Chichester, England.
  • R.Ernst, J.Bodenhausen, Wokaun (1987). Principles of NMR in one and two dimensions. Oxford University Press, Oxford.
  • C.Schmidt-Rohr and H.Spiess (1994). Multidimensional solid-state NMR and polymers. Academic Press, London.
  • M.Goldman (1988). Quantum description of high-resolution NMR in liquids. Oxford University Press, Oxford.
  • A.Abragam and M.Goldman (1982). Nuclear magnetism: order and disorder. Clarendon Press, Oxford. Chapters 1-2.
  • M.Goldman (1970). Spin temperature and NMR in solids. Oxford University Press, Oxford.
  • M.Mehring (1983). Principles of high-resolution NMR in solids, 2nd ed. Springer-Verlag, Berlin.
  • P.Callaghan (1991). Principles of NMR microscopy. Oxford University Press, Oxford.
  • E.Fukushima and S.Roeder (1981). Nuts and bolts of NMR. Addison-Wesley, Reading, MA.
  • J.H.Davis (1991). Deuterium Nuclear Magnetic Resonance Spectroscopy. In: Isotopes in the physical and biomedical sciences, v.2. Buncel and Jones, eds. Elsevier, Amsterdam. Ch.3, pp.99-157.
  • Varenna (1986). The physics of NMR spectroscopy in biology and medicine. Proceedings of International School of Physics "Enrico Fermi". B.Maraviglia, ed. Elsevier, Amsterdam (1988). Chapters by M.Goldman, M.Bloom, R.Ernst, R.Griffin.
  • A.Goswami (1992). Quantum Mechanics. Wm.C.Brown.
  • M.Tinkham (1964). Group theory and quantum mechanics. McGraw-Hill, New York.