Home > Courses > 5P76 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. References A.Abragam (1961). The Principles of nuclear magnetism. Oxford University Press, Oxford. 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.