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5 - Nuclear Magnetic Resonance and Relaxation

Published online by Cambridge University Press:  03 February 2020

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Summary

We shall first discuss the origin of the spins and magnetic dipole moments of the nucleons and nuclei. The nuclear magnetic resonance (NMR) lineshape will then be reviewed in general theoretical terms first, before turning to the microscopic sources of line broadening and frequency shifts that are valid for solid materials only. The relaxation mechanisms of nuclear spins will then be described, focusing on relaxation via paramagnetic electrons. During frozen spin operation the polarization loss is different for positive and negative polarization, which is explained by the polarization-dependent heat transfer from the nuclear spins to the liquid helium coolant.

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Publisher: Cambridge University Press
Print publication year: 2020

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References

European Muon Collaboration (EMC), Ashman, J., Badelek, B., et al., An investigation of the spin structure of the proton in deep inelastic scattering of polarized muons on polarized protons, Nucl. Phys. B328 (1989) 135.CrossRefGoogle Scholar
European Muon Collaboration (EMC), Ashman, J., Badelek, B., et al., A measurement of the spin asymmetry and determination of the structure function g1 in deep inelastic muon proton scattering, Phys. Lett. B206 (1988) 364370.Google Scholar
Carlitz, R. D., Collins, J. C., Mueller, A. H., The role of the axial anomaly in measuring spin-dependent parton distributions, Physics Letters B 2014 (1988) 229236.Google Scholar
Ellis, J., Karliner, M., Determination of alpha_s and the nucleon spin decomposition using recent polarized structure function data, Physics Letters B 341 (1995) 397406.CrossRefGoogle Scholar
Leader, E., Spin in Particle Physics, Cambridge University Press, Cambridge, 2001.Google Scholar
Deur, A., Brodsky, S. J., de Teramond, G. F., The spin structure of the nucleon, Reports on Progress in Physics 82 (2019) 076201.Google Scholar
Castel, B., Towner, I. S., Modern Theories of Nuclear Moments, Clarendon Press, Oxford, 1990.CrossRefGoogle Scholar
Spin Muon Collaboration (SMC), Adams, D., Adeva, B., et al., The polarized double-cell target of the SMC, Nucl. Instr. and Meth. in Phys. Res. A437 (1999) 2367.CrossRefGoogle Scholar
Abragam, A., Goldman, M., Nuclear Magnetism: Order and Disorder, Clarendon Press, Oxford, 1982.Google Scholar
Abragam, A., Chapellier, M., Jacquinot, J. F., Goldman, M., Absorption lineshape of highly polarized nuclear spin systems, J. Magn. Res. 10 (1973) 322346.Google Scholar
Abragam, A., The Principles of Nuclear Magnetism, Clarendon Press, Oxford, 1961.Google Scholar
Abramowitz, M., Stegun, I. A., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, NIST, 1972.Google Scholar
Kielhorn, W. F., A technique for measurement of vector and tensor polarization in solid spin one polarized targets, D. Ph., 1991, Physics, University of Texas in Austin.Google Scholar
Dulya, C. M., Kyynäräinen, J., Influence of strong axial quadrupole interactions on the measurement of nuclear polarization, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 406 (1998) 612.Google Scholar
Spin Muon Collaboration (SMC), Adams, D., Adeva, B., et al., The polarized double-cell target of the SMC, Nucl. Instr. and Meth. A437 (1999) 2367.Google Scholar
Lehrer, S. S., O’Konski, C. T., Nuclear quadrupole resonance and bonding in crystalline ammonia, J. Chem. Phys. 43 (1965) 19411949.Google Scholar
Dulya, C., Adams, D., Adeva, B., et al., A line-shape analysis for spin-1 NMR signals, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 398 (1997) 109125.Google Scholar
Borghini, M., Proton spin orientation, CERN Yellow Report 68–32, 1968.Google Scholar
Runolfsson, Ö., Mango, S., Nuclear magnetic resonance measurements of solid methane during the conversion to its ground state, Phys. Lett. 28A (1968) 254255.Google Scholar
Carolan, J. L., Scott, T. A., nuclear magnetic, A resonance study of molecular motion in liquid and solid ammonia, J. Mag. Res. 2 (1970) 243258.Google Scholar
Hahn, E. L., Maxwell, D. E., Spin echo measurements of nuclear spin coupling in molecules, Phys. Rev. 88 (1952) 10701084.CrossRefGoogle Scholar
Gutowsky, H. S., McCall, D. W., Slichter, C. P., Nuclear magnetic resonance multiplets in liquids, J. Chem. Phys. 21 (1953) 279292.Google Scholar
Ramsey, N. F., Purcell, E. M., Interactions between nuclear spins in molecules, Phys. Rev. 85 (1952) 143144.Google Scholar
Bloembergen, N., Rowland, T. J., Nuclear spin exchange in solids: Tl203 and Tl205 magnetic resonance in thallium and thallic oxide, Phys. Rev. 97 (1955) 16791698.Google Scholar
Ruderman, M. A., Kittel, C., Indirect exchange coupling of nuclear magnetic moments by conduction electrons, Phys. Rev. 96 (1954) 99102.Google Scholar
Slichter, C. P., Principles of Magnetic Resonance, 3rd ed., Springer-Verlag, Berlin, 1990.Google Scholar
Lalowicz, Z. T., Hennel, J. W., Evidence for ammonium group isomerism in NH4I obtained by NMR, Acta Phys. Pol. A40 (1971) 547549.Google Scholar
Hennel, J. W., Lalowicz, Z. T., Proton magnetic resonance intensity in ammonium salts at low temperatures, in: Hovi, V. (ed.) XVII Congress Ampere, North-Holland, Turku, 1973, 217218.Google Scholar
Niinikoski, T. O., Rieubland, J.-M., Dynamic nuclear polarization in irradiated ammonia below 0.5 K, Phys. Lett. 72A (1979) 141144.Google Scholar
Andrew, E. R., Bersohn, R., Nuclear magnetic resonance line shape for a triangular configuration of nuclei, J. Chem. Phys. 12 (1950) 159161.CrossRefGoogle Scholar
Polenova, T., Gupta, R., Goldbourt, A., Magic angle spinning NMR spectroscopy: a versatile technique for structural and dynamic analysis of solid-phase systems, Analytical chemistry 87 (2015) 54585469.Google Scholar
Lee, D., Bouleau, E., Saint-Bonnet, P., Hediger, S., De Paëpe, G., Ultra-low temperature MAS-DNP, J. Magn. Res. 264 (2016) 116124.CrossRefGoogle ScholarPubMed
Schmugge, T. J., Jeffries, C. D., High dynamic polarization of protons, Phys. Rev. 138 (1965) A1785A1801.Google Scholar
Talón, C., Ramos, M. A., Cuello, G. J., et al., Low-temperature specific heat and glassy dynamics of a polymorphic molecular solid, Phys. Rev. B 58 (1998) 745755.Google Scholar
Zhou, Y., Bowler, B. E., Eaton, G. R., Eaton, S. S., Electron spin lattice relaxation rates for S = 1/2 molecular species in glassy matrices or magnetically dilute solids at temperatures between 10 and 300 K, J. Magnetic Resonance 139 (1999) 165174.Google Scholar
de Boer, W., Niinikoski, T. O., Dynamic proton polarization in propanediol below 0.5 K, Nucl. Instrum. and Meth. 114 (1974) 495498.Google Scholar
Harris, E. A., Yngvesson, K. S., Spin-lattice relaxation in some iridium salts I. Relaxation of the isolated (IrCl6)2-complex, J. Phys. C (Proc. Phys. Soc.) 1 (1968) 10111023.Google Scholar
de Boer, W., High proton polarization in 1,2-propanediol at 3He temperatures, Nucl. Instr. and Meth. 107 (1973) 99104.Google Scholar
Orbach, R., Spin-lattice relaxation in rare-earth salts, Proc. R. Soc. A 264 (1961) 458484.Google Scholar
Orbach, R., Spin-lattice relaxation in rare-earth salts: field dependence of the two-phonon process, Proc. R. Soc. A 264 (1961) 485495.Google Scholar
Blume, M., Orbach, R., Relaxation by two phonons in ground-state multiplets, Phys. Rev. 127 (1961) 1787.Google Scholar
Waugh, J. S., Slichter, C. P., Mechanism of nuclear spin-lattice relaxation in insulators at very low temperatures, Phys. Rev. B37 (1988) 43374339.Google Scholar
Harris, E. A., Yngvesson, K. S., Spin-lattice relaxation in some iridium salts II. Relaxation of nearest-neighbour exchange-coupled pairs, Journal of Physics C: Solid State Physics 1 (1968) 10111023.Google Scholar
Niinikoski, T. O., Udo, F., “Frozen spin” polarized target, Nucl. Instr. and Meth. 134 (1976) 219233.Google Scholar
Stephens, R. B., Cieloszyk, G. S., Salinger, G. L., Thermal conductivity and specific heat of non-crystalline solids: polystyrene and polymethyl methacrylate, Phys. Lett. A 38 (1972) 215217.Google Scholar
Niinikoski, T. O., Polarized targets at CERN, in: Marshak, M. L. (ed.) Int. Symp. on High Energy Physics with Polarized Beams and Targets, American Institute of Physics, Argonne, 1976, 458484.Google Scholar
Spin Muon Collaboration (SMC), Adams, D., Adeva, B., et al., Spin asymmetry in muon-proton deep inelastic scattering on a transversely-polarized target, Phys. Lett. B336 (1994) 125130.Google Scholar
Ziman, J. M., Principles of the Theory of Solids, Cambridge University Press, Cambridge, 1965.Google Scholar
Gorter, C. J., Parametric Relaxation, Elsevier, New York, 1947.Google Scholar
Wendler, W., Herrmannsdörfer, T., Rehmann, S., Pobell, F., Electronic and nuclear magnetism in platinum-iron at ultralow temperatures, Platinum Metals Rev. 40 (1996) 112116.Google Scholar
Oja, A. S., Lounasmaa, O. V., Nuclear magnetic ordering in simple metals at positive and negative nanokelvin temperatures, Rev. Mod. Phys. 69 (1997) 1136.Google Scholar
de Boer, W., Borghini, M., Morimoto, K., Niinikoski, T. O., Udo, F., Dynamic polarization of protons, deuterons and carbon-13 nuclei: thermal contact between nuclear spins and electron spin-spin interaction reservoir, J. Low Temp. Phys. 15 (1974) 249267.Google Scholar
van den Brandt, B., Glättli, H., Grillo, I., et al., Time-resolved nuclear spin-dependent small-angle neutron scattering from polarised proton domains in deuterated solutions, The European Physical Journal B – Condensed Matter and Complex Systems 49 (2006) 157165.Google Scholar

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