Mössbauer Test for a Lattice-Dynamical Model for the Ferroelectric Phase Transition in Potassium Ferrocyanide

Y. Hazony; D. E. Earls; I. Lefkowitz

doi:10.1103/PhysRev.166.507

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Mössbauer Test for a Lattice-Dynamical Model for the Ferroelectric Phase Transition in Potassium Ferrocyanide

Y. Hazony^* and D. E. Earls

I. Lefkowitz

Program on Nuclear Studies in Engineering, Princeton University, Princeton, New Jersey

Pitman-Dunn Laboratory, Frankford Arsenal, Philadelphia, Pennsylvania

^*On leave of absence from the Soreq Research Centre, Yavne, Israel.

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Phys. Rev. 166, 507 – Published 10 February, 1968

DOI: https://doi.org/10.1103/PhysRev.166.507

Abstract

A lattice-dynamical model is proposed for the ferroelectricity in potassium ferrocyanide, in contrast to the previously accepted order-disorder model. This proposed model associates the dielectric anomaly with a mode instability where $ω_{TO} \to 0$ at $q \to 0$ in the [ $10 \bar{1}$ ] crystallographic direction. Measurements of the Mössbauer fraction as well as the dielectric constant were carried out simultaneously on a single crystal, as a function of temperature, to provide identification of the phase transition and as a test for the dynamics of the iron framework through the transition. The results show large changes in the Mössbauer fraction in the vicinity of the transition temperature perpendicular to the [010] direction only. This is compatible with our lattice-dynamical treatment. This model is further supported by a structural discussion, analysis of acoustic data, and the shifts of the transition temperature on deuteration and atomic substitution. The Mössbauer and substitutional data presented are incompatible with the order-disorder theory.

Comments & Replies

Mössbauer-Effect Study of Ferroelectric Potassium Ferrocyanide Trihydrate

M. J. Clauser

Phys. Rev. B 1, 357 (1970)

References (19)

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Y. Hazony, J. Chem. Phys. 45, 2664 (1966)
D. E. Earls, thesis, Princeton University, 1967 (unpublished)
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I. Lefkowitz, Y. Hazony, and D. Earls, Bull. Am. Phys. Soc. 11, 268 (1966)
J. C. Taylor and M. H. Mueller (private communication)

[c1] F. Jona and G. Shirane, Ferroelectric Crystals (Pergamon Press, Inc., New York, 1962)

[c2] R. Blinc, M. Brenman, and J. S. Waugh, J. Chem. Phys. 35, 1770 (1961)

[c3] R. Kiriyama, H. Kiriyama, and T. Wada, J. Phys. Soc. Japan 19, 540 (1964)

[c4] D. E. O'Reilly and G. E. Schacher, J. Chem. Phys. 43, 4222 (1965)

[c5] T. Tsang and D. E. O'Rielly, J. Chem. Phys. 43, 4234 (1965)

[c6] G. E. Schacher, J. Chem. Phys. 46, 3565 (1967)

[c7] ([2]) ([3]) ([4–6]) J. J. Rush, P. S. Leung, and T. I. Taylor, J. Chem. Phys. 45, 1312 (1966)

[c8] W. Cochran, Phys. Rev. Letters 3, 412 (1950)

[c9] W. Cochran, Advan. Phys. 9, 387 (1960)

[c10] P. W. Anderson, 1958 ([9])

[c11] H. Fröhlich, 1949 ([9])

[c12] S. Waku, H. Hirabayashik, H. Toyoda, and H. Iwasaki, J. Phys. Soc. Japan, 14, 973 (1959)

[c13] S. Waku, K. Masuno, T. Tanaka, and H. Iwasaki, J. Phys. Soc. Japan 15, 1185 (1960)

[c14] S. Waku, K. Masuno, and T. Tanaka, J. Phys. Soc. Japan 15, 1698 (1960) ibid.16, 1158 (1961)

[c15] Y. Hazony, J. Chem. Phys. 45, 2664 (1966)

[c16] D. E. Earls, thesis, Princeton University, 1967 (unpublished)

[c17] H. Toyada, N. Niizeki, and S. Waku, J. Phys. Soc. Japan 15, 1831 (1960)

[c18] I. Lefkowitz, Y. Hazony, and D. Earls, Bull. Am. Phys. Soc. 11, 268 (1966)

[c19] J. C. Taylor and M. H. Mueller (private communication)

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Mössbauer Test for a Lattice-Dynamical Model for the Ferroelectric Phase Transition in Potassium Ferrocyanide

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Comments & Replies

Mössbauer-Effect Study of Ferroelectric Potassium Ferrocyanide Trihydrate

References (19)

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