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The change of complete symmetry of the crystals during the phase transitions in ferroelectrics and ferromagnetics

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5. Summary

The extension of the superposition principle of the symmetries (P. Curie principle of symmetry) for the case of complete symmetry is given. The enumeration of all crystallographical groups of complete symmetry is presented, the number of elements having complete symmetry for each class of the crystals being indicated. The change of complete symmetry of the crystals under the phase transitions is obtained by superimposing the elements of complete symmetry of polar or axial vectors on the one hand, and the elements of complete symmetry of the crystals on the other.

The tables of complete symmetry changes for the cubic, rhombic, monoclinic and triclinic crystals during the ferroelectric and ferromagnetic phase transitions are given.

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References

  • Tavger, B. A. and Zaitsev, V. M.JETP, 1956,30, 564. (Eng. Trans. 1956,3, 430.)

    Google Scholar 

  • Shubnikov, A. V. .. “Symmetry and antisymmetry of the finite figures,”Izd. Akad. Nauk, SSSR, Moscow, 1951.

  • Shuvalov, L. A...Kristallografiya, 1959,4, 399.

    Google Scholar 

  • Zheludev, I. S...Krystallografiya, 1960 (a),5, 346, English Translation;Soviet Physics—Crystallography, 1960,5, 328.

    Google Scholar 

  • —————.. Ibid., 1960 (b),5, 508; English Translation;Soviet Physics—Crystallography, 1961,5, 489.

    Google Scholar 

  • —————..Izvest. Akad. Nauk SSSR, Ser. Fiz., 1960 (c),24, 1436.

    Google Scholar 

  • Zheludev, I. S. and Shuvalov, L. A.Kristallografiya, 1956,1, 681.

    Google Scholar 

  • —————..Izvest. Akad. Nauk SSSR, Ser. Fiz., 1957,21, 264.

    Google Scholar 

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Communicated by Dr. R. S. Krishnan,f.a.sc.

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Zheludev, I.S. The change of complete symmetry of the crystals during the phase transitions in ferroelectrics and ferromagnetics. Proc. Indian Acad. Sci. 59, 168–184 (1964). https://doi.org/10.1007/BF03049202

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  • DOI: https://doi.org/10.1007/BF03049202

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