Nuclear Acoustic Resonance in Metals

Müller, Volker; Bartell, Ulrich

Nuclear Acoustic Resonance in Metals

Files

Nuclear_Acoustic_Resonance_in_Metals.pdf(2.92 MB)

Date

1979

Authors

Müller, Volker

Bartell, Ulrich

Publication type

Journal article

Published in

Zeitschrift für Physik B ; 32 (1979), 3. - pp. 271-279

Abstract

A comprehensive quantum theoretical treatment of nuclear acoustic resonance (NAR) in metals is presented for the first time. Basic equations describing the NAR-absorption and NAR-dispersion are derived from the sound induced perturbation Hamiltonian h(t) by applying a generalized form of the "Kubo susceptibility". It is shown that in metals, where a sound wave may induce nuclear magnetic dipole and nuclear electric quadrupole transitions simultaneously, the appearance of interference terms enables one to determine not only the absolute values but also the signs of the gradient-elastic tensor components. Explicit expressions are displayed for the dipolar, quadrupolar and interference contributions to the generalized NAR susceptibility in cubic metals. As an example the derivative of the expected 93Nb NAR-absorption line (Delta m = 1) is calculated for different signs of the gradient elastic tensor component S44.

Summary in another language

Eine umfassende quantentheoretische Behandlung der Akustischen Kernspinresonanz (NAR) wird erstmals vorgelegt. Mit Hilfe einer verallgemeinerten "Kubo-Suszeptibilität" werden die Grundgleichungen, welche die NAR-Absorption und NAR-Dispersion beschreiben, aus der schallinduzierten Kopplungs-Hamiltonfunktion abgeleitet. Es wird gezeigt, daß in Metallen, in denen die Schallwelle zugleich nukleare magnetische Dipolübergänge und nukleare elektrische Quadrupolübergänge induziert, Interferenzterme erscheinen, die nicht nur die Bestimmung der Absolutwerte des Dynamischen Elektrischen Feldgradienttensors, sondern auch deren Vorzeichen ermöglichen. Die Ausdrücke der dipolaren und quadrupolaren Beiträge zur verallgemeinerten NAR-Suszeptibilität in kubischen Metallen sowie des Interferenzbeitrages werden explizit dargestellt. Als Besipiel wird die differenzierte NAR-Absorptionslinie (Delta m = 1) für 93Niob mit unterschiedlichen Vorzeichen der S-Tensorkomponente S44 berechnet.

Subject (DDC)

530 Physics

Keywords

Akustische Kernspinresonanz,NAR,Metalle,Quantentheoretische Behandlung,Absorption,Dispersion,Kubo-Suszeptibilität,Nuclear Acoustic Resonance,NAR,metals,quantum theoretical treatment,absorption,dispersion,Kubo susceptibility,magnetic dipole

Cite This

ISO 690

MÜLLER, Volker, Ulrich BARTELL, 1979. Nuclear Acoustic Resonance in Metals. In: Zeitschrift für Physik B. 32(3), pp. 271-279. Available under: doi: 10.1007/BF01351504

BibTex

@article{Muller1979Nucle-4726,
  year={1979},
  doi={10.1007/BF01351504},
  title={Nuclear Acoustic Resonance in Metals},
  number={3},
  volume={32},
  journal={Zeitschrift für Physik B},
  pages={271--279},
  author={Müller, Volker and Bartell, Ulrich}
}

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