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• W2044132866 startingPage "1596" @default.
• W2044132866 abstract "Measurements of the $^{79}mathrm{Br}$ nuclear-quadrupole-resonance frequency and spin-lattice relaxation time in a polycrystalline sample of ${mathrm{K}}_{2}$Pt${mathrm{Br}}_{6}$ from 4 to 450 K are reported. The frequency data indicate that structural phase transitions occur at 78, 105, 137, 143, and 169 K. The relaxation-time data are extemely sensitive to the phase transition at 169 K. At the high-temperature phase transition the structure of the substance changes from cubic to tetragonal. On the basis of previous comprehensive studies in ${mathrm{K}}_{2}$Re${mathrm{Cl}}_{6}$ it is likely that the phase transition is second order and is driven by the rotary lattice mode. As a model for this transition it is assumed that the Pt${mathrm{Br}}_{6}^{2ensuremath{-}}$ octahedra remain undistorted but that they rotate within the cages defined by neighboring ${mathrm{K}}^{+}$ ions and that the cages elongate in the directions of the axes of rotation of the octahedra. The frequency data in the high-temperature phase are analyzed to yield the temperature dependence of a certain average ${overline{ensuremath{omega}}}_{ensuremath{nu}}$ of the rotary-lattice-mode frequency over the Brillouin zone; a 12% softening is deduced. The relaxation data in the high-temperature phase are analyzed to yield the temperature dependence of a second average ${overline{ensuremath{omega}}}_{{T}_{1}}$ of the rotary-mode frequency over the Brillouin zone; a 40% softening is deduced. It is shown that the difference between the temperature dependence of ${overline{ensuremath{omega}}}_{ensuremath{nu}}$ and ${overline{ensuremath{omega}}}_{{T}_{1}}$ is due to a difference in weighting of the rotary-mode frequency near the Brillouin-zone center. In particular, the dramatic temperature dependence of ${overline{ensuremath{omega}}}_{{T}_{1}}$ can only be accounted for through the anharmonic Raman process and not the ordinary Raman process for quadrupolar-dominated spin-lattice relaxation. Below 169 K, two ${T}_{1}$ values, one approximately twice the other, are observed at each temperature. It is shown that this observation is consistent with the model postulated for the phase transition. The average rotary-mode frequency is found to harden as the temperature decreases below 169 K. That ${T}_{1}$ is insensitive to the phase transitions at lower temperatures is thought to imply that these transitions are not driven by the rotary-lattice mode." @default.
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• W2044132866 date "1972-08-15" @default.
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• W2044132866 title "Softening of the Rotary Lattice Mode in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>K</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Pt<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Br</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>as …" @default.
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• W2044132866 doi "https://doi.org/10.1103/physrevb.6.1596" @default.
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