Generalized Theory for the Temperature-Dependent Hyperfine Coupling Constant of Iron-Group<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-State Ions

Menne, T. J.

doi:10.1103/physrevb.1.4496

Cited by 16 publications

(4 citation statements)

References 8 publications

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“…With [5] give a numerical value for U44. For caclulating the averaged hyperfine field, which is proportional to the hyperfine coupling constant, the possible products of the normal coordinates are averaged over all directions of the wave vector k after the procedure of Menne [5].…”

Section: R4mentioning

confidence: 99%

“…All normal coordinates must be taken into consideration. Therefore, equations (9) and (10) contain some other temperature functions than those Menne [5] obtained for symmetry 0,.…”

Section: F(t) Contains the Acoustic-phonon Contributionmentioning

confidence: 99%

“…With equation ( [5] give a numerical value for U44. For caclulating the averaged hyperfine field, which is proportional to the hyperfine coupling constant, the possible products of the normal coordinates are averaged over all directions of the wave vector k after the procedure of Menne [5]. To these averages a longitudinal (1) and transverse (t) branch respectively make the following contribu- where j , are spherical Bessel functions.…”

Section: Theorymentioning

confidence: 99%

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Phonon‐induced hyperfine interactions for ⁶S‐state ions in tetrahedral symmetry: Mn²⁺ in ZnS and ZnSe

Koch

1975

Physica Status Solidi (b)

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On the basis of a point-charge model according to the theory of 8imBnek and Orbach equations are derived for the temperature dependence of the hyperfine coupling constant of %-state ions in tetrahedral symmetry without the approximation of small wave vectors for lattice phonons. Acoustical and optical phonons of the entire phonon spectrum are taken into consideration. The temperature functions calculated are compared with the measured values for ZnS:Mn2+ and ZnSe:Mn2+. The curves obtained very well correspond to the temperature dependence measured if always one parameter is taken from the experiment. The calculations, however, supply parameters which deviate by more than one order of magnitude from the experimental ones. The reasons for these deviations are particularly involved in the applied point-charge model. Auf der Basis eines Punktladungsmodells werden nach der Theorie von Sim&nek undOrbach Gleichungen fur die Temperat,urabhingigkeit der Hyperfeinstrukturkonstanten von %-Ionen in Tetraeder-Symmetrie ohne die Naherung kleiner Wellenvektoren fur die Gitterphononen ermittelt. Akustische und optische Phononen des gesamten Phononenspektrums werden berucksichtigt. Die berechneten Temperaturfunktionen werden mit vorliegenden MeBwerten fur ZnS :Mn2+ und ZnSe :Nn2+ verglichen. Die theoretischen Kurven stimmen gut mit den gemessenen Tempcraturabhangigkeiten iiberein, wenn jeweils ein Parameter aus dem Experiment entnommen wird. Die Rechnungcn liefern allerdings Parameter, die um mehr als eine GroBenordnung von den experimentellen abweichen. Die Griinde fur die Xbweichungen liege11 vor allem im benutzten I'unktladnngsrnodell.

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Section: R4mentioning

confidence: 99%

“…All normal coordinates must be taken into consideration. Therefore, equations (9) and (10) contain some other temperature functions than those Menne [5] obtained for symmetry 0,.…”

Section: F(t) Contains the Acoustic-phonon Contributionmentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

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Phonon‐induced hyperfine interactions for ⁶S‐state ions in tetrahedral symmetry: Mn²⁺ in ZnS and ZnSe

Koch

1975

Physica Status Solidi (b)

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“…In an attempt to improve the theoretical fit to the data on A( T), to include the optical phonon contribution, and to determine how much of the theoreticalexperimental discrepancy could be attributed to the use of the long wavelength approximation in the theoretical treatment, the orbit-lattice theory was generalized [5,6] to remove this approximation and to treat the wavelength of the lattice vibrations exactIy over the entire phonon spectrum. It was surprising to discover that the generalized theory yielded even greater theoretical-experimental disagreement than the long wavelength model.…”

Section: Introductionmentioning

confidence: 99%

Phonon contribution to the hyperfine coupling constant

Menne¹

2009

Int. J. Quantum Chem.

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The temperature dependence of the hyperfine coupling constant A ( T ) of Mn2+ in MgO is analysed by means of the generalized phonon theory, obtained by treating the phonon wavelength without approximation over the entire phonon spectrum. A comparison is also made of the results obtained with both the generalized and the long-wavelength models as applied to A ( T) for Mn2+ and Eu2+ in the alkaline earth fluoride crystals. This comparison suggests that local mode effects and not covalency may be the dominant mechanism required to improve the theoretical fit to the data. Contributions from optical phonons to A ( T) of Mn2+ and Eu2+ in MgO, CaFz , SrF, , and BaF, crystals are also tabulated and discussed.

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Temperaturabhängigkeit der Hyperfeinstrukturkonstanten von Mn²⁺ in Znse

Koch¹

1971

Physica Status Solidi (b)

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Generalized Theory for the Temperature-Dependent Hyperfine Coupling Constant of Iron-GroupS-State Ions

Cited by 16 publications

References 8 publications

Phonon‐induced hyperfine interactions for ⁶S‐state ions in tetrahedral symmetry: Mn²⁺ in ZnS and ZnSe

Phonon‐induced hyperfine interactions for ⁶S‐state ions in tetrahedral symmetry: Mn²⁺ in ZnS and ZnSe

Phonon contribution to the hyperfine coupling constant

Temperaturabhängigkeit der Hyperfeinstrukturkonstanten von Mn²⁺ in Znse

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Generalized Theory for the Temperature-Dependent Hyperfine Coupling Constant of Iron-GroupS-State Ions

Cited by 16 publications

References 8 publications

Phonon‐induced hyperfine interactions for 6S‐state ions in tetrahedral symmetry: Mn2+ in ZnS and ZnSe

Phonon‐induced hyperfine interactions for 6S‐state ions in tetrahedral symmetry: Mn2+ in ZnS and ZnSe

Phonon contribution to the hyperfine coupling constant

Temperaturabhängigkeit der Hyperfeinstrukturkonstanten von Mn2+ in Znse

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Phonon‐induced hyperfine interactions for ⁶S‐state ions in tetrahedral symmetry: Mn²⁺ in ZnS and ZnSe

Phonon‐induced hyperfine interactions for ⁶S‐state ions in tetrahedral symmetry: Mn²⁺ in ZnS and ZnSe

Temperaturabhängigkeit der Hyperfeinstrukturkonstanten von Mn²⁺ in Znse