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3 - Electron Paramagnetic Resonance and Relaxation

Published online by Cambridge University Press:  03 February 2020

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Summary

The DNP phenomenoma are first overviewed basing on magnetic spin transitions and on thermal reservoirs, before turning to the microscopic and quantum statistical descriptions using the high-temperature approximation. The dynamic cooling of dipolar interactions is then extended to low temperatures and the stationary solution of Borghini is developed. The physical limits of the equal spin temperature model are discussed, focusing on the electron spin concentration, cross relaxation and hyperfine interactions, before treating the limitations arising from the heat transport, diffusion barrier, leakage factor and phonon bottleneck. The resolved and differential solid effect mechanisms are then presented before turning to the cross effect, Overhauser effect and DNP of hyperfine nuclei. The microwave frequency modulation effects are discussed in view of the “hole burning” due to limited cross relaxation and due to uneven power absorption cause by the magnetic dispersion and by inhomogeneity of the magnetic field.

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Publisher: Cambridge University Press
Print publication year: 2020

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References

Odom, B., Hanneke, D., d’Urso, B., Gabrielse, G., New measurement of the electron magnetic moment using a one-electron quantum cyclotron, Phys. Rev. Lett. 97 (2006) 030801.Google Scholar
Kinoshita, T., Nizic, B., Okamoto, Y., Eighth-order QED contribution to the anomalous magnetic moment of the muon, Phys. Rev. D 41 (1990) 593610.CrossRefGoogle Scholar
Kinoshita, T., Lindquist, W. B., Theory of the anomalous magnetic moment of the electron – numerical approach, Phys. Rev. Lett. 47 (1981) 1573.Google Scholar
Brodsky, S. J., Drell, S. D., Anomalous magnetic moment and limits on fermion substructure, Phys. Rev. D 22 (1980) 22362243.Google Scholar
Brodsky, S. J., Franke, V. A., Hiller, J. R., et al., A nonperturbative calculation of the electron’s magnetic moment, Nuclear Physics B 703 (2004) 333362.Google Scholar
Lounasmaa, O. V., Experimental Principles and Methods below 1 K, Academic Press, New York, 1974.Google Scholar
Betts, D. S., An Introduction to Millikelvin Technology, Cambridge University Press, Cambridge, 1989.Google Scholar
Abragam, A., Bleaney, B., Electron Paramagnetic Resonance of Transition Ions, Clarendon Press, Oxford, 1970.Google Scholar
Pshetzhetskii, S. Y., Kotov, A. G., Milinchuk, V. K., Roginskii, V. A., Tupikov, V. I., EPR of Free Radicals in Radiation Chemistry, John Wiley & Sons, New York, 1974.Google Scholar
Roginskii, V. A., Tupikov, V. I., EPR of Free Radicals in Radiation Chemistry, Wiley, New York, 1974.Google Scholar
Wertz, J. E., Bolton, J. R., Electron Spin Resonance: Elementary Theory and Practical Applications, McGraw-Hill, New York, 1972.Google Scholar
Eaton, G. R., Eaton, S. S., Barr, D. P., Weber, R. T., Quantitative EPR, Springer Verlag, Wien, 2010.CrossRefGoogle Scholar
Slichter, C. P., Principles of Magnetic Resonance, 3rd ed., Springer-Verlag, Berlin, 1990.Google Scholar
Abragam, A., The Principles of Nuclear Magnetism, Clarendon Press, Oxford, 1961.Google Scholar
de Boer, W., High proton polarization in 1,2-propanediol at 3He temperatures, Nucl. Instr. and Meth. 107 (1973) 99104.CrossRefGoogle Scholar
Bloembergen, N., Purcell, E. M., Pound, R. V., Relaxation effects in nuclear magnetic resonance absorption, Phys. Rev. 73 (1948) 679712.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
Van Vleck, J. H., Time reversal symmetry, Phys. Rev. 57 (1940) 426.CrossRefGoogle Scholar
Crabb, D. G., Day, D. B., The Virginia/Basel/SLAC polarized target: operation and performance during experiment E143 at SLAC, in: Dutz, H., Meyer, W. (eds.) 7th Int. Workshop on Polarized Target Materials and Techniques, Elsevier, Amsterdam, 1994, pp. 1119.Google Scholar
Aminov, L. K., On the theory of spin-lattice relaxation in paramagnetic ionic crystals, Soviet Physics JETP 15 (1962) 547549.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) 4337.Google Scholar
Ruby, R. H., Benoit, H., Jeffries, C. D., Electron relaxation in LMN(Nd+++), Phys. Rev. 127 (1962) 51.Google Scholar
de Boer, W., Dynamic Orientation of Nuclei at Low Temperatures, CERN Yellow Report CERN 74–11, 1974.Google Scholar
Harris, E. A., Yngvesson, K. S., Relaxation by exchange interaction, J. Phys. C (Proc. Phys. Soc.) 1 (1968) 990, 1011.CrossRefGoogle Scholar
Atsarkin, V. A., Budkooskiy, P. E., Vasneva, G. A., Demidov, V. V., Proton spin relaxation with exchange-coupled clusters, in: Proc. 17th Coll Ampere, Turku, 1972.Google Scholar
Symons, M., Radiation induced paramagnetic centers in organic and inorganic materials, in: Court, G. R., et al. (eds.) Proc. of the 2nd Workshop on Polarized Target Materials, SRC, Rutherford Laboratory, 1980, pp. 2528.Google Scholar
Henderson, B., Inorganic materials, in: Court, G. R., et al. (eds.) Proc. Second Workshop on Polarized Target Materials, SRC, Rutherford Laboratory, 1980, pp. 2932.Google Scholar
Chen, H., Maryasov, A. G., Rogozhnikova, O. Y., et al., Electron spin dynamics and spin–lattice relaxation of trityl radicals in frozen solutions, Physical Chemistry Chemical Physics 18 (2016) 2495424965.Google Scholar
Abragam, A., Goldman, M., Nuclear Magnetism: Order and Disorder, Clarendon Press, Oxford, 1982.Google Scholar
Brya, W. J., Wagner, P. E., Paramagnetic relaxation to a bottlenecked lattice: Development of the phonon avalanche, Phys. Rev. Lett. 14 (1965) 431.CrossRefGoogle Scholar
Scott, P. L., Jeffries, C. D., Spin-lattice relaxation in some rare-earth salts at helium temperatures; observation of the phonon bottleneck, Phys. Rev. 127 (1962) 3251.Google Scholar
Faughnan, B. W., Strandberg, M. W. P., The role of phonons in paramagnetic relaxation, J. Phys. Chem. Solids 19 (1961) 155.CrossRefGoogle Scholar
Kochelaev, B. I., Spin temperature and non-equilibrium phonons, in: Goldman, M., Porneuf, M. (eds.) NMR and More: Scientific Day in Honour of Anatole Abragam, Les Editions de Physique Les Ulis, Saclay, 1994, pp. 279291.Google Scholar
Abragam, A., Borghini, M., Dynamic polarization of nuclear targets, in: Gorter, C. J. (ed.) Progress in Low-Temperature Physics, Interscience Publ., 1964, pp. 384449.Google Scholar
Glättli, H., Organic materials for polarized proton targets, in: Shapiro, G. (ed.) Proc. 2nd Int. Conf. on Polarized Targets, LBL, University of California, Berkeley, Berkeley, 1971, pp. 281287.Google Scholar
de Boer, W., Dynamic Orientation of Nuclei at Low Temperatures, PhD, 1974, Delft University of TechnologyGoogle Scholar
Heckmann, J., Goertz, S., Meyer, W., Radtke, E., Reicherz, G., EPR spectroscopy at DNP conditions, Nucl. Instrum. Methods Phys. Res. A526 (2004) 110.CrossRefGoogle Scholar
Heckmann, J., Meyer, W., Radtke, E., Reicherz, G., Goertz, S., Electron spin resonance and its implication on the maximum nuclear polarization of deuterated solid target materials, Phys. Rev. B 74 (2006).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, pp. 458484.Google Scholar
de Boer, W., Dynamic orientation of nuclei at low temperatures, J. Low Temp. Phys. 22 (1976) 185212.Google Scholar
Spin Muon Collaboration (SMC), Adeva, B., Arik, E., et al., Large enhancement of deuteron polarization with frequency modulated microwaves, Nucl. Instrum. and Methods A 372 (1996) 339343.Google Scholar
Kisselev, Y. F., Niinikoski, T. O., Frequency Modulation Effects in EPR and Dynamic Nuclear Polarization, Preprint CERN-PPE/96–146, 1996.Google Scholar
Abragam, A., Goldman, M., Dynamic nuclear polarisation, Rep. Prog. Phys. 41 (1978) 395.Google Scholar
Lilly Thankamony, A. S., Wittmann, J. J., Kaushik, M., Corzilius, B., Dynamic nuclear polarization for sensitivity enhancement in modern solid-state NMR, Progress in Nuclear Magnetic Resonance Spectroscopy 102103 (2017) 120195.Google Scholar
Bunyatova, E. I., Free radicals and polarized targets, Nuclear Instruments and Methods in Physics Research A 526 (2004) 2227.Google Scholar
Goertz, S. T., Harmsen, J., Heckmann, J., et al., Highest polarizations in deuterated compounds, Nuclear Instruments and Methods in Physics Research A 526 (2004) 4352.Google Scholar
Borghini, M., Choice of substances for polarized proton targets, CERN Yellow Report CERN 66–3, 1966.Google Scholar
Garif’yanov, N. S., Kozyrev, B. M., Fedotov, V. N., Width of the EPR line of liquid solutions of ethylene glycol complexes for even and odd chromium isotopes, Sov. Phys. Dokladyy 13 (1968) 107.Google Scholar
Krumpolc, M., Rocek, J., Stable chromium(V) compounds, J. Am. Chem. Soc. 98 (1976) 872873.Google Scholar
Krumpolc, M., Rocek, J., Three-electron oxidations. 12. chromium(V) formation in the chromic acid oxidation of 2-hydroxy-2-methylbutyric acid, J. Am. Chem. Soc. 99 (1977) 137143.CrossRefGoogle Scholar
Krumpolc, M., DeBoer, B. G., Rocek, J., Stable, A Cr(V) compound. synthesis, properties, and crystal structure of potassium bis(2-hydroxy-2-methylbutyrato)-oxochromate(V) monohydrate, J. Am. Chem. Soc. 100 (1978) 145153.Google Scholar
Hill, D., Miller, R. C., Krumpolc, M., Rocek, J., A new CrV doping agent for polarized targets, Nuclear Instruments and Methods 150 (1978) 331332.Google Scholar
Krumpolc, M., Rocek, J., Synthesis of stable chromium(V) complexes of tertiary hydroxy acids, Journal of the American Chemical Society 101 (1979) 32063209.Google Scholar
Nakasuka, N., Some metal complexes as free radicals for polarized targets, in: Steffens, E., et al. (eds.) Proc. 6th Workshop on Polarized Solid Targets, Springer Verlag, Heidelberg, 1991, pp. 344346.Google Scholar
Corzilius, B., Smith, A. A., Barnes, A. B., et al., High-field dynamic nuclear polarization with high-spin transition metal ions, Journal of the American Chemical Society 133 (2011) 56485651.Google Scholar
Adachi, T., Asahi, K., Doi, M., et al., Test of parity violation and time reversal invariance in slow neutron absorption reactions, Nucl. Phys. A577 (1994) 433 c–442 c.Google Scholar
Urbina, C., Jacquinot, J. F., Low field behavior of Tm2+ in CaF2 at ultra-low nuclear spin temperature, Physica B+C 100 (1980) 333342.Google Scholar

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