Paramagnetic-Resonance Determination of a Nuclear Quadrupole Interaction by Means of Forbidden Hyperfine Transitions—Ca W<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math></span>: <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">Mn</mi></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></mrow></math></span>

D. H. Lyons; R. W. Kedzie

doi:10.1103/PhysRev.145.148

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Paramagnetic-Resonance Determination of a Nuclear Quadrupole Interaction by Means of Forbidden Hyperfine Transitions—Ca W $O_{4}$ : ${Mn}^{2 +}$

D. H. Lyons and R. W. Kedzie

Sperry Rand Research Center, Sudbury, Massachusetts

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Phys. Rev. 145, 148 – Published 6 May, 1966

DOI: https://doi.org/10.1103/PhysRev.145.148

Abstract

The $2 I$ forbidden hyperfine doublets [ $M (\frac{1}{2} ⇄ - \frac{1}{2})$ , $Δ m = \pm 1$ ] in the EPR spectrum of ${Mn}^{2 +}$ impurity ions in CaW $O_{4}$ have been observed. The doublet separations at $θ = 0 °$ are in excellent agreement with a perturbation-theoretic calculation which includes fourth order terms. The angular variation of the separations agrees very well with the angular variation calculated by computer diagonalization of the spin Hamiltonian. The doublet separations for general $θ$ have been computed to order ${(h ν)}^{- 3}$ using perturbation theory and qualitative agreement with the exact angular variation has been obtained. The value obtained for the nuclear quadrupole coupling constant is $Q^{'} = - (0.30 \pm 0.03) \times 10^{- 4}$ ${cm}^{- 1}$ .

References (18)

B. Bleaney, Phil. Mag. 42, 441 (1951) W. Low, Paramagnetic Resonance in Solids (Academic Press Inc., New York, 1960), p. 58
B. Bleaney and D. J. E. Ingram, Proc. Roy. Soc. (London) A205, 336 (1961)
E. Friedman and W. Low, Phys. Rev. 120, 408 (1960)
L. M. Matarrese, J. Chem. Phys. 34, 336 (1961)
G. W. Ludwig and H. H. Woodbury, Bull. Am. Phys. Soc. 5, 158 (1960)
B. Bleaney and R. S. Rubins, Proc. Phys. Soc. (London) 77, 103 (1961)
V. J. Folen, Phys. Rev. 125, 1581 (1962) ibid.139, A1961 (1965)
J. Schneider and S. R. Sircar, Z. Naturforsch. 17a, 651 (1962)
F. Waldner, Helv. Phys. Acta 35, 756 (1962)
M. Odenhal, Czech. J. Phys. B13, 566 (1963)
J. E. Drumheller and R. S. Rubens, Phys. Rev. 133, A1099 (1964) G. J. Wolga and R. Tseng, ibid. 133, A1563 (1964)
J. E. Drumheller, Helv. Phys. Acta 37, 689 (1964)
B. C. Cavenett, Proc. Phys. Soc. (London) 84, 1 (1964)
S. P. Burley, Australian J. Phys. 17, 537 (1964)
J. Schneider, S. R. Sircar, and A. Räuber, Z. Naturforsch. 18a, 980 (1963)
R. W. Kedzie, D. H. Lyons, and M. Kestigian, Phys. Rev. 138, A918 (1965)
G. L. Bir, Fiz. Tverd. Tela 5, 2236 (1963) [English transl.: Soviet Phys.—Solid State 5, 1628 (1964)]
C. F. Hempstead and K. D. Bowers, Phys. Rev. 118, 131 (1960)

[c1] B. Bleaney, Phil. Mag. 42, 441 (1951) W. Low, Paramagnetic Resonance in Solids (Academic Press Inc., New York, 1960), p. 58

[c2] B. Bleaney and D. J. E. Ingram, Proc. Roy. Soc. (London) A205, 336 (1961)

[c3] E. Friedman and W. Low, Phys. Rev. 120, 408 (1960)

[c4] L. M. Matarrese, J. Chem. Phys. 34, 336 (1961)

[c5] G. W. Ludwig and H. H. Woodbury, Bull. Am. Phys. Soc. 5, 158 (1960)

[c6] B. Bleaney and R. S. Rubins, Proc. Phys. Soc. (London) 77, 103 (1961)

[c7] V. J. Folen, Phys. Rev. 125, 1581 (1962) ibid.139, A1961 (1965)

[c8] J. Schneider and S. R. Sircar, Z. Naturforsch. 17a, 651 (1962)

[c9] F. Waldner, Helv. Phys. Acta 35, 756 (1962)

[c10] M. Odenhal, Czech. J. Phys. B13, 566 (1963)

[c11] J. E. Drumheller and R. S. Rubens, Phys. Rev. 133, A1099 (1964) G. J. Wolga and R. Tseng, ibid. 133, A1563 (1964)

[c12] J. E. Drumheller, Helv. Phys. Acta 37, 689 (1964)

[c13] B. C. Cavenett, Proc. Phys. Soc. (London) 84, 1 (1964)

[c14] S. P. Burley, Australian J. Phys. 17, 537 (1964)

[c15] J. Schneider, S. R. Sircar, and A. Räuber, Z. Naturforsch. 18a, 980 (1963)

[c16] R. W. Kedzie, D. H. Lyons, and M. Kestigian, Phys. Rev. 138, A918 (1965)

[c17] G. L. Bir, Fiz. Tverd. Tela 5, 2236 (1963) [English transl.: Soviet Phys.—Solid State 5, 1628 (1964)]

[c18] C. F. Hempstead and K. D. Bowers, Phys. Rev. 118, 131 (1960)

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Paramagnetic-Resonance Determination of a Nuclear Quadrupole Interaction by Means of Forbidden Hyperfine Transitions—Ca W $O_{4}$ : ${Mn}^{2 +}$

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Paramagnetic-Resonance Determination of a Nuclear Quadrupole Interaction by Means of Forbidden Hyperfine Transitions—Ca WO4: Mn2+

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References (18)

Paramagnetic-Resonance Determination of a Nuclear Quadrupole Interaction by Means of Forbidden Hyperfine Transitions—Ca W $O_{4}$ : ${Mn}^{2 +}$