Abstract
The spin-Hamiltonian parameters (g factors g//, g⊥ and zero-field splitting D) of the trigonal Cr3+ centers in Cr3+-doped ABO3 (A = Sc, In, Lu) borate crystals are computed from both the complete diagonalization (of energy matrix) method and also the perturbation method based on the two-spin–orbit-parameter model, where the contributions to spin-Hamiltonian parameters due to both the spin–orbit parameter of central dn ion and that of ligands via covalence effect are considered. The calculated results are compatible with those available in experiments. The defect structures of the trigonal (CrO6)9− octahedral centers are also evaluated from the calculations. It is found that the trigonal (MO6)9− octahedra change from the elongation in the host crystals to the compression in the impurity centers because of the large size and nature mismatch substitution in these Cr3+-doped ABO3 crystals. The results are discussed.
Similar content being viewed by others
References
V.P. Dotsenko, N.P. Efryushina, N.A. Nazarenko, Opt. Spectrosc. 69, 622–624 (1990)
S.T. Lai, B.H. Chai, M. Long, R.C. Morris, IEEE J. Quantum Electron. 22, 1931–1933 (1986)
K. Tanaka, N. Tamura, K. Hirao, N. Sogo, Mater. Chem. Phys. 59, 82–87 (1999)
A.M. Vorotynov, S.G. Ovchinnikov, V.V. Rudenko, O.V. Vorotynova, J. Exp. Theor. Phys. 122, 734–737 (2016)
W.C. Zheng, in Optical Properties of 3d-Ions in Crystals: Spectroscopy and Crystal Field Analysis, Chap. 4, ed. by N.M. Avram, M.G. Brik (Springer, Tsinghua University Press, Heidelberg, Beijing, 2013)
C. Rudowicz, Y.Y. Yeung, Z.Y. Yang, J. Qin, J. Phys. Condens. Matter 14, 5619–5636 (2002)
Y. Mei, W.C. Zheng, L. Zhang, J. Magn. Magn. Mater. 360, 38–40 (2014)
C. Liu, Y. Mei, B.W. Chen, H.G. Liu, W.C. Zheng, Polyhedron 128, 121–125 (2017)
B.G. Wybourne, Spectroscopic Properties of Rare Earth (Wiley, New York, 1965)
S. Sugano, Y. Tanabe, H. Kamimara, Multiplets of Transition Metal Ions in Crystals (Academic Press, New York, 1970)
J.S. Griffith, The Theory of Transition-Metal Ions (Cambridge University Press, London, 1964)
M.L. Du, C. Rudowicz, Phys. Rev. B 46, 8974–8977 (1992)
E. Clementi, D.L. Raimond, J. Chem. Phys. 38, 2686–2689 (1963)
E. Clementi, D.L. Raimond, W.P. Reinhardt, J. Chem. Phys. 47, 1300–1307 (1967)
W.C. Zheng, Phys. B 215, 255–259 (1995)
R.D. Shonnon, Acta Cryst. A 32, 751–767 (1976)
D.A. Keszler, H. Sun, Acta Cryst. C 44, 1505–1507 (1988)
J.R. Cox, D.A. Keszlar, Acta Cryst. C 50, 1857–1859 (1994)
S.C. Abrahams, J.L. Bernstein, E.T. Keve, J. Appl. Cryst. 4, 284–290 (1971)
D.J. Newman, B. Ng, Rep. Prog. Phys. 52, 699–763 (1989)
Y.Y. Yeung, in Optical Properties of 3d-Ions in Crystals: Spectroscopy and Crystal Field Analysis, Chap. 3, ed. by N.M. Avram, M.G. Brik (Tsinghua University Pres, Springers, Beijing, Heidelberg, 2013)
W.C. Zheng, D.T. Zhang, P. Su, H.G. Liu, Spectrochim. Acta A 81, 548–551 (2011)
M.G. Brik, Y.Y. Yeung, J. Phys. Chem. Solids 69, 2401–2410 (2008)
C. Rudowicz, M.G. Brik, N.M. Avram, Y.Y. Yeung, P. Gnutek, J. Phys. Condens. Matter 18, 5221–5234 (2006)
W.L. Yu, M.G. Zhao, Phys. Rev. B 37, 9254–9267 (1988)
M.G. Brik, C.N. Avram, N.M. Avram, Phys. B 384, 78–81 (2006)
W.C. Zheng, W. Fang, J. Appl. Phys. 101(1–4), 113908 (2007)
M. Ciresan, M. Vaida, N.M. Avram, Acta Phys. Pol., A 112, 835–837 (2007)
C. Rudowicz, Y.Y. Zhou, J. Magn. Magn. Mater. 111, 153–163 (1992)
W.C. Zheng, S.Y. Wu, Spectrochim. Acta A 58, 79–82 (2002)
W.C. Zheng, J. Phys. Condens. Matter 7, 8351–8356 (1995)
W.C. Zheng, Radiat. Eff. Def. Solids 140, 329–334 (1997)
K. Zdansky, Phys. Rev. 159, 201–208 (1967)
K.A. Muller, W. Berlinger, J. Phys. C 16, 6861–6874 (1983)
W.C. Zheng, J. Phys. Condens. Matter 1, 8093–8098 (1989)
W.C. Zheng, Phys. Status Solidi B 154, K167–K179 (1989)
W.C. Zheng, Q. Zhou, X.X. Wu, Y. Mei, Spectrochim. Acta A61, 1243–1246 (2005)
W.C. Zheng, S.Y. Wu, H.N. Dong, S. Tang, J. Magn. Magn. Mater. 268, 264–270 (2004)
L.R. Yang, C.F. Wei, Y. Mei, W.C. Zheng, J. Fluor. Chem. 189, 39–42 (2016)
Acknowledgements
This project is supported by the Initial Foundation of Mianyang Teachers’ College (grant no. MQD2011A05), the Project of Education Department in Sichuan Province (grant no. 17ZB0206).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Peng, R.M., Mei, Y., Liu, H.G. et al. Trigonal Distortions of the Cr3+ Octahedral Centers in Cr3+-Doped ABO3 (A = Sc, In, Lu) Crystals Obtained by Analyzing EPR Data. Appl Magn Reson 49, 285–292 (2018). https://doi.org/10.1007/s00723-017-0976-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00723-017-0976-8