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Ultrasonic Propagation in RbMnF3. I. Elastic Properties

R. L. Melcher*

D. I. Bolef

  • Arthur H. Compton Laboratory of Physics, Washington University, St. Louis, Missouri 63130
  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14850

  • Arthur H. Compton Laboratory of Physics, Washington University, St. Louis, Missouri 63130

  • *Present address: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, N. Y.
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Phys. Rev. 178, 864 – Published 10 February, 1969

DOI: https://doi.org/10.1103/PhysRev.178.864

Abstract

The elastic properties of RbMnF3 have been investigated over the temperature range 4.2-300°K with a continuous-wave transmission technique. The measured values of the three adiabatic elastic constants C11, C44, and C′=12(C11−C12) at 300°K in units of 1012 erg/cm3 are, respectively, 1.174±0.002, 0.3193±0.0008, and 0.3763±0.0008. The value of the Debye temperature calculated from the low-temperature elastic-constant data is ΘD(elastic)=386±1.5 °K. For T>12ΘD, the three elastic constants decrease linearly with temperature. Attempts at applying the present results to a three-force-constant theory of the cubic perovskite structure failed because the secular determinant for the principal oscillation frequencies results in an unstable solution. It is found that only the longitudinal elastic modes are affected by the onset of long-range order at the Néel temperature TN. This is consistent with Pytte and Bennett's recent theory if the dominant spin-phonon interaction is taken to be the volume magnetostriction. In the antiferromagnetic state, the elastic constants are found to be sharply dependent on applied magnetic fields. A model is proposed which explains the magnetic-field dependence and temperature dependence of the elastic constants in this region. The basis of the model is that the coupling of the ultrasonic waves to the antiferromagnetic resonance modes in the low-frequency limit is determined by the sublattice magnetization orientation, which in turn is magnetic-field-dependent. This model will be described in more detail in a second paper.

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Phys. Rev. 178, 864– Published 10 February, 1969
  • Received 14 October 1968

© 1969 American Physical Society

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