Theoretical Treatment of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">Gd</mi></mrow><mrow><mo>+</mo><mn>3</mn><mn></mn></mrow></msup></mrow></math></span> Terms Split in the Crystal Field of Ca<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">F</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span>

M. Schlesinger; M. Nerenberg

doi:10.1103/PhysRev.178.568

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Theoretical Treatment of ${Gd}^{+ 3}$ Terms Split in the Crystal Field of Ca $F_{2}$

M. Schlesinger

M. Nerenberg

Department of Physics, University of Windsor, Windsor, Canada

Department of Applied Mathematics, University of Western Ontario, London, Canada

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Phys. Rev. 178, 568 – Published 10 February, 1969

DOI: https://doi.org/10.1103/PhysRev.178.568

Abstract

A theoretical treatment is given of the ${}^{6}P_{J}$ and ${}^{6}I_{J}$ terms of ${Gd}^{+ 3}$ in Ca $F_{2}$ split by either tetragonal or trigonal purely electrostatic crystal fields. A good fit with recently obtained experimental data is shown to exist for the ${}^{6}P_{J}$ case. In attempting to fit the ${}^{6}I_{J}$ terms with experiment we found it necessary to assume an unreasonably high crystal field. Thus, our conclusion that amendment to the ${}^{6}I_{J}$ free-ion energy eigen-functions as given in the literature is needed.

References (8)

M. Schlesinger and P. W. Whippey, Phys. Rev. 162, 286 (1967)
M. Nerenberg and M. Schlesinger, Phys. Letters 26A, 109 (1968)
B. G. Wybourne, Spectroscopic Properties of Rare Earths (Interscience Publishers, Inc., New York, 1965)
W. A. Runciman, J. Chem. Phys. 36, 1481 (1962)
Omitted endnote
B. G. Wybourne, Phys. Rev. 148, 317 (1966)
F. Z. Gilfanov et al., Opt. i. Spektroskopiya 20, 283 (1964) [English transl.: Opt. Spectry. (USSR) 20, 152 (1966)]
K. H. Hellwege, S. Huffner, and H. Schmidt, Z. Physik 172, 460 (1963)

[c1] M. Schlesinger and P. W. Whippey, Phys. Rev. 162, 286 (1967)

[c2] M. Nerenberg and M. Schlesinger, Phys. Letters 26A, 109 (1968)

[c3] B. G. Wybourne, Spectroscopic Properties of Rare Earths (Interscience Publishers, Inc., New York, 1965)

[c4] W. A. Runciman, J. Chem. Phys. 36, 1481 (1962)

[c5] Omitted endnote

[c6] B. G. Wybourne, Phys. Rev. 148, 317 (1966)

[c7] F. Z. Gilfanov et al., Opt. i. Spektroskopiya 20, 283 (1964) [English transl.: Opt. Spectry. (USSR) 20, 152 (1966)]

[c8] K. H. Hellwege, S. Huffner, and H. Schmidt, Z. Physik 172, 460 (1963)

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Theoretical Treatment of ${Gd}^{+ 3}$ Terms Split in the Crystal Field of Ca $F_{2}$

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Theoretical Treatment of Gd+3 Terms Split in the Crystal Field of CaF2

Abstract

References (8)

Theoretical Treatment of ${Gd}^{+ 3}$ Terms Split in the Crystal Field of Ca $F_{2}$