Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-04-30T22:32:40.078Z Has data issue: false hasContentIssue false

2 - Resonance and Relaxation of Interacting Spin Systems

Published online by Cambridge University Press:  03 February 2020

Get access

Summary

We shall first outline the types of interactions of spins, which are most important for solid polarized targets: the magnetic dipole interaction, the quadrupole interaction, the spin-orbit interaction and the hyperfine interaction. Other direct and indirect spin interactions are described: these give rise to the chemical shift, the Knight shift, molecular spin isomers and to the exchange interaction of electron pairs. These, and in particular the dipolar interaction, are then used in the discussion of the magnetic resonance phenomena, such as the resonance line shape and saturation. The magnetic resonance absorption and the transverse susceptibility are discussed starting from the first principles, and Provotorov's equations are derived. The relaxation of spins, which is phenomenologically introduced already for the saturation, is then overviewed in greater depth, before closing with sudden and adiabatic changes of spin systems in the rotating frame.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abragam, A., The Principles of Nuclear Magnetism, Clarendon Press, Oxford, 1961.Google Scholar
Slichter, C. P., Principles of Magnetic Resonance, 3rd ed., Springer-Verlag, Berlin, 1990.CrossRefGoogle Scholar
Volkoff, G. M., Second order nuclear quadrupole effects in single crystals, Can. J. Phys. 31 (1953) 820836.Google Scholar
Ramsey, N. F., Magnetic shielding of nuclei in molecules, Phys. Rev. 78 (1950) 699703.Google Scholar
Ramsey, N. F., Chemical effects in nuclear magnetic resonance and in diamagnetic susceptibility, Phys. Rev. 86 (1952) 243246.CrossRefGoogle Scholar
Abragam, A., Goldman, M., Nuclear Magnetism: Order and Disorder, Clarendon Press, Oxford, 1982.Google Scholar
Kubo, R., Tomita, K., General theory of magnetic resonance, J. Phys. Soc. Japan 9 (1954) 888.Google Scholar
Van Vleck, J. H., The dipolar broadening of magnetic resonance in solids, Phys. Rev. 74 (1948) 11681183.CrossRefGoogle Scholar
Provotorov, B. N., Magnetic resonance saturation in crystals, Soviet Phys. – JETP 14 (1962) 11261131.Google Scholar
Gorter, C. J., Parametric Relaxation, Elsevier, New York, 1947.Google Scholar
Provotorov, B. N., A quantum statistical theory of cross relaxation, Soviet Phys. – JETP 15 (1962) 611614.Google Scholar
Landau, L. D., Lifshitz, E.M., Statistical Physics, 2nd revised and enlarged ed., Pergamon Press, Oxford, 1968.Google Scholar
Redfield, A. G., Nuclear magnetic resonance saturation and rotary saturation in solids, Phys. Rev. 98 (1955) 17871809.CrossRefGoogle Scholar
Rodak, M. I., Effect of magnetic resonance saturation on cross relaxation, Soviet Phys. – JETP 18 (1964) 500502.Google Scholar
Goldman, M., Cox, S. F. J., Bouffard, V., Coupling between nuclear Zeeman and electronic spin-spin interactions in dielectric solids, J. Phys. C: Solid State Phys 7 (1974) 29402952.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×