Strain-Induced Zero-Field Splitting of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>d</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>d</mi></mrow><mrow><mn>8</mn></mrow></msup></mrow></math></span> Ions in Cubic Crystals

K. Žďánský

doi:10.1103/PhysRev.159.201

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Strain-Induced Zero-Field Splitting of $d^{3}$ and $d^{8}$ Ions in Cubic Crystals

K. Žďánský

Institute of Radio Engineering and Electronics, Czechoslovak Academy of Sciences, Prague, Czechoslovakia

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Phys. Rev. 159, 201 – Published 10 July, 1967

DOI: https://doi.org/10.1103/PhysRev.159.201

Abstract

The zero-field splitting of ions with $d^{3}$ and $d^{8}$ electron configurations is calculated by the perturbation theory. We consider the ionic and covalent contributions and that of anisotropic spin—spin coupling due to covalency effects. For comparison with experiment, the numerical values for $V^{2 +}$ , ${Cr}^{3 +}$ , and ${Ni}^{2 +}$ ions in uniaxially stressed MgO crystals are estimated.

References (24)

G. D. Watkins and Elsa Feher, Bull. Am. Phys. Soc. 7, 29 (1962)
Elsa Feher, Phys. Rev. 136, A145 (1964)
Elsa Feher, Bull. Am. Phys. Soc. 10, 699 (1965)
M. Blume and R. Orbach, Phys. Rev. 127, 1587 (1962)
Omitted endnote
R. R. Sharma and T. P. Das, J. Chem. Phys. 41, 3581 (1964)
M. H. L. Pryce, Proc. Phys. Soc. (London) A63, 25 (1950)
A. L. Schawlow, A. H. Piksis, and S. Sugano, Phys. Rev. 122, 1469 (1961)
M. D. Sturge, Phys. Rev. 131, 1456 (1963)
J. S. Griffith, The Theory of Transition-Metal Ions (Cambridge University Press, New York, 1961), p. 226
C. Kittel, Introduction to Solid-State Physics (John Wiley & Sons, Inc., New York, 1959), 2nd ed., Chap. 4, p. 86
H. A. Bethe, Ann. Physik 3, 133 (1929)
J. Kanamori, Progr. Theoret. Phys. (Kyoto) 17, 197 (1956)
Y. Tanabe and H. Kamimura, J. Phys. Soc. Japan 13, 394 (1958)
R. G. Shulman and S. Sugano, Phys. Rev. 130, 506 (1963) K. Knox, R. G. Shulman, and S. Sugano, ibid. 130, 512 (1963) S. Sugano and R. G. Shulman, ibid., 130, 517 (1963) R. E. Watson and A. J. Freeman, ibid., 134, A1526 (1964) F. Simánek and Z. Sroubek, Phys. Status Solidi 4, 251 (1964)
R. E. Watson and M. Blume, Phys. Rev. 139, A1209 (1965)
Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 (1954)
R. E. Watson, MIT Solid-State and Molecular Theory Group, Technical Report No. 12, 1959 (unpublished)
H. H. Jaffé and G. O. Daak, J. Chem. Phys. 21, 966 (1953) H. H. Jaffé, ibid. 21, 258 (1953)
W. Marshall and R. Stuart, Phys. Rev. 123, 2048 (1961)
M. Blume and R. E. Watson, Proc. Roy. Soc. (London) 271, 565 (1963)
E. B. Tucker, Proc. IEEE, 53, 1547 (1965)
E. B. Tucker, Phys. Rev. 143, 264 (1966)
S. A. Altshuler, B. I. Kochalzev, and A. M. Leushin, Usp. Fiz. Nauk 75, 459 (1961) [English transl.: Soviet Phys.—Usp. 4, 880 (1962)]

[c1] G. D. Watkins and Elsa Feher, Bull. Am. Phys. Soc. 7, 29 (1962)

[c2] Elsa Feher, Phys. Rev. 136, A145 (1964)

[c3] Elsa Feher, Bull. Am. Phys. Soc. 10, 699 (1965)

[c4] M. Blume and R. Orbach, Phys. Rev. 127, 1587 (1962)

[c5] Omitted endnote

[c6] R. R. Sharma and T. P. Das, J. Chem. Phys. 41, 3581 (1964)

[c7] M. H. L. Pryce, Proc. Phys. Soc. (London) A63, 25 (1950)

[c8] A. L. Schawlow, A. H. Piksis, and S. Sugano, Phys. Rev. 122, 1469 (1961)

[c9] M. D. Sturge, Phys. Rev. 131, 1456 (1963)

[c10] J. S. Griffith, The Theory of Transition-Metal Ions (Cambridge University Press, New York, 1961), p. 226

[c11] C. Kittel, Introduction to Solid-State Physics (John Wiley & Sons, Inc., New York, 1959), 2nd ed., Chap. 4, p. 86

[c12] H. A. Bethe, Ann. Physik 3, 133 (1929)

[c13] J. Kanamori, Progr. Theoret. Phys. (Kyoto) 17, 197 (1956)

[c14] Y. Tanabe and H. Kamimura, J. Phys. Soc. Japan 13, 394 (1958)

[c15] R. G. Shulman and S. Sugano, Phys. Rev. 130, 506 (1963) K. Knox, R. G. Shulman, and S. Sugano, ibid. 130, 512 (1963) S. Sugano and R. G. Shulman, ibid., 130, 517 (1963) R. E. Watson and A. J. Freeman, ibid., 134, A1526 (1964) F. Simánek and Z. Sroubek, Phys. Status Solidi 4, 251 (1964)

[c16] R. E. Watson and M. Blume, Phys. Rev. 139, A1209 (1965)

[c17] Y. Tanabe and S. Sugano, J. Phys. Soc. Japan 9, 753 (1954)

[c18] R. E. Watson, MIT Solid-State and Molecular Theory Group, Technical Report No. 12, 1959 (unpublished)

[c19] H. H. Jaffé and G. O. Daak, J. Chem. Phys. 21, 966 (1953) H. H. Jaffé, ibid. 21, 258 (1953)

[c20] W. Marshall and R. Stuart, Phys. Rev. 123, 2048 (1961)

[c21] M. Blume and R. E. Watson, Proc. Roy. Soc. (London) 271, 565 (1963)

[c22] E. B. Tucker, Proc. IEEE, 53, 1547 (1965)

[c23] E. B. Tucker, Phys. Rev. 143, 264 (1966)

[c24] S. A. Altshuler, B. I. Kochalzev, and A. M. Leushin, Usp. Fiz. Nauk 75, 459 (1961) [English transl.: Soviet Phys.—Usp. 4, 880 (1962)]

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Strain-Induced Zero-Field Splitting of $d^{3}$ and $d^{8}$ Ions in Cubic Crystals

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Strain-Induced Zero-Field Splitting of d3 and d8 Ions in Cubic Crystals

Abstract

References (24)

Strain-Induced Zero-Field Splitting of $d^{3}$ and $d^{8}$ Ions in Cubic Crystals