Selection Rules and Angular Dependence in Paramagnetic Acoustic Resonance

Dobrov, W. I.

doi:10.1103/physrev.134.a734

Cited by 75 publications

(16 citation statements)

References 18 publications

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“…form of the phenomenological spin-phonon interaction Hamiltonian for these ions has been found in agreement with experiments 11,12 and is also well justified theoretically by the work of Van Vleck 13 and Mattuck and Strandberg. 14 In analogy with the spin Hamiltonian 3C.=/9H-g-S+S-D-S (1) the spin-phonon Hamiltonian is written…”

Section: Introductionsupporting

confidence: 81%

Paramagnetic Acoustic Resonance and Relaxation of Rare Earths in CaF2

Dobrov

1966

Phys. Rev.

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Using the group-theoretical approach of Blume and Orbach, a Hamiltonian is derived for interaction between coherent acoustic waves and rare-earth ions in cubic coordination. This Hamiltonian is found in partial agreement with the phenomenological spin-phonon Hamiltonian for effective spin 5=\ ions. Observations were made of the transmission of longitudinal and transverse 10-kMc/sec acoustic waves through rare-earth-doped CaF 2 as a function of an applied magnetic field. Magnetic-field-dependent attenuation of acoustic waves was observed for only two ions, Eu 2+ and Dy 3+ . In other cases only the upper limits of the acoustic absorption could be determined, and from these, lower limits of the direct-process relaxation time T\ were estimated. These lower limits were found approximately three orders of magnitude longer than the T\ values measured in CaF 2 at liquid-helium temperatures by the conventional pulse-saturation technique; an explanation of the discrepancy for some cases is suggested.146 268

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Section: Introductionsupporting

confidence: 81%

Paramagnetic Acoustic Resonance and Relaxation of Rare Earths in CaF2

Dobrov

1966

Phys. Rev.

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“…The similar results of Dobrov [43] and Tucker [37] strictly hold only for purely longitudinal phonons since CO~k had not been included in the denominator. In (8), the doublet excited state of the I A M] = 1 transition is already accounted for by a factor 2.…”

Section: W~-i(~l'l~t:1ltfi)12g(v)/(zh) 2 Where G(v)supporting

confidence: 61%

“…which is zero for local Ca symmetry [43] so that this transition should be forbidden. Eventually for transverse phonons along the c-axis (T 3):…”

Section: W~-i(~l'l~t:1ltfi)12g(v)/(zh) 2 Where G(v)mentioning

confidence: 97%

“…the latter applying for local C3 symmetry [43]. For the fast transverse mode (FT1), the displacement has a finite angle, 0, with the z-axis which is determined by…”

Section: W~-i(~l'l~t:1ltfi)12g(v)/(zh) 2 Where G(v)mentioning

confidence: 99%

“…This is usually described by the phenomenological interaction Hamiltonian [42][43][44][45] (7) for zero magnetic field. The first term describes the usual [41,42] coupling by the strain ek t associated with the phonon, St being the components of the spin operator and G~jk, the magneto-elastic coefficients.…”

Section: A) Theorymentioning

confidence: 99%

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Spin-phonon coupling of Al2O3:V3+ by quantitative spectroscopy with phonons

Kinder

1973

Z. Physik

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Superconducting tunnel junctions were used as tunable monochromatic phonon sources by selecting a narrow band of bremsstrahlung phonons by modulation. For quantitative spectroscopy, the line shape of the modulated band was calculated. Using this, the experimental results on A1203:V 3+ were analyzed in terms of the spinphonon Hamiltonian including rotational coupling. In contrast with the theory, the coupling with the L mode along the trigonal axis was not forbidden and, furthermore, exhibited an unexplained narrowing. The analysis of the other modes yielded G44=+0.4cm-1 and G41 .~. --8.1 cm -1. The observation of "resonance fluorescence" is also reported.

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Akustische Kernresonanz in Festkörpern

Burkersrode

1970

Fortschr. Phys.

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Selection Rules and Angular Dependence in Paramagnetic Acoustic Resonance

Cited by 75 publications

References 18 publications

Paramagnetic Acoustic Resonance and Relaxation of Rare Earths in CaF2

Paramagnetic Acoustic Resonance and Relaxation of Rare Earths in CaF2

Spin-phonon coupling of Al2O3:V3+ by quantitative spectroscopy with phonons

Akustische Kernresonanz in Festkörpern

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