Skip to main content
Log in

Structure and lattice distortions of orthorhombic crystals with 3d ions

  • Theory of Metals
  • Published:
The Physics of Metals and Metallography Aims and scope Submit manuscript

Abstract

Formation of the orthorhombic phase of perovskite crystals with 3d elements has been considered and models of the crystal structures of LaMnO3, LaTiO3, YTiO3, LaVO3, and YVO3 have been constructed. A generalization of the results of previous studies has been performed with allowance for the effect of T 2g distortions. An analysis of local symmetrized distortions has shown that the structure of compounds with Ti3+ and V3+ ions is determined by the “rotational” distortions of the T 1g type (Q x , Q y , Q z ); the T 2g distortions are only secondary. At the same time, in LaMnO3 of special importance are Jahn-Teller E g distortions. All the crystals examined exhibit a strong coupling between the lattice and electronic degrees of freedom, which manifests itself in strong vibronic effects. In particular, the terms of the vibronic Hamiltonian that are quadratic in Q x , Q y , and Q z determine the orbital structure of t 2g compounds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Yu. A. Izyumov, “Magnetism and Superconductivity in Strongly Correlated Systems,” Usp. Fiz. Nauk 161 (11), 1–46 (1991).

    Article  Google Scholar 

  2. E. Dagotto, “Correlated Electrons in High-Temperature Superconductors,” Rev. Mod. Phys. 66 (3), 763–841 (1994).

    Article  Google Scholar 

  3. S. M. Dunaevskii, “Magnetic Phase Diagrams of Manganites in the Electron Doping Region,” Fiz. Tverd. Tela 46 (2), 193–211 (2004) [Phys. Solid State 46 (2), 193–212 (2004)]

    Google Scholar 

  4. Yu. A. Izyumov and Yu. N. Skryabin, “Double Exchange Model and the Unique Properties of the Manganites,” Usp. Fiz. Nauk 171(2), 121–148 (2001) [Phys.-Usp. 44 (2), 109–134 (2001)].

    Article  Google Scholar 

  5. M. B. Salamon and M. Jaime, “The Physics of Manganites: Structure and Transport,” Rev. Mod. Phys. 73 (3), 583–628 (2001).

    Article  Google Scholar 

  6. E. L. Nagaev, “Colossal-Magnetoresistance Materials: Manganites and Conventional Ferromagnetic Semiconductors,” Phys. Rep. 346 (6), 387–531 (2001).

    Article  Google Scholar 

  7. R. Shmitz, O. Entin-Wohlman, A. Aharony, et al., “Magnetic Structure of the Jahn-Teller System LaTiO3,” Phys. Rev. B: Condens. Matter 71, 144 412 (2005).

    Article  Google Scholar 

  8. M. Mochizuki and M. Imada, “Orbital Physics in the Perovskite Ti Oxides,” New J. Phys. 6, 154 (2004); arXiv: cond-mat/0410650.

    Article  Google Scholar 

  9. V. V. Iglamov and M. V. Eremin, “Crystal Field Theory and Electric Field Gradients at 49Ti Nuclei Sites in LaTi03,” Fiz. Tverd. Tela 49 (2), 221–226 (2007) [Phys. Solid State 49 (2), 229–235 (2007)].

    Google Scholar 

  10. I. V. Solovyev, “Lattice Distortion and Magnetism of 3dt2 Perovskite Oxides,” Phys. Rev. B: Condens. Matter 74, 054412 (2006).

    Article  Google Scholar 

  11. T. Mizokawa and A. Fujimori, “Electronic Structure and Orbital Ordering in Perovskite-Type 3d Transition-Metal Oxides Studied by Hartree-Fock Band-Structure Calcu lations,” Phys. Rev. B: Condens. Matter 54 (8), 5368–5380 (1996).

    Article  Google Scholar 

  12. M. Imada, A. Fujimori, and Y Tokura, “Metal-Insulator Transitions,” Rev. Mod. Phys. 70 (4), 1039–1263 (1998).

    Article  Google Scholar 

  13. V. E. Naish, “Models of Crystal Structures of Doped Lanthanum Manganites,” Fiz. Met. Metalloved. 85 (6)}, 5–22 (1998) [Phys. Met. Metallogr. 85 (6), 589–600 (1998)].

    Google Scholar 

  14. E. B. Vinberg, Yu. M. Gufan, V. P. Sakhnenko, and Yu. I. Sirotin, “On Symmetry Changes of Crystals with an Oh Space Group upon Phase Transitions,” Kristallografiya 19 (1), 21–26 (1974).

    Google Scholar 

  15. H. Kawano, R. Kajimoto, M. Kubota, and H. Yoshizawa, “Ferromagnetism-Induced Reentrant Structural Transition and Phase Diagram of the Lightly Doped Insulator La1−x SrxMnO3 (x ≤ 0.17),” Phys. Rev. B: Condens. Matter 53 (22), R14709–R14712 (1996).

    Article  Google Scholar 

  16. A. E. Nikiforov, S. E. Popov, and S. Yu. Shashkin, “Microscopic Calculations of the Structure and Properties of the LaMnO3 Crystal,” Fiz. Met. Metalloved. 87 (2), 99–102 (1999) [Phys. Met. Metallogr. 87 (2), 97–102 (1999)].

    Google Scholar 

  17. I. B. Bersuker and V. Z. Polinger, Vibronic Interactions in Molecules and Crystals (Nauka, Moscow, 1983; Springer, New York, 1989).

    Google Scholar 

  18. L. E. Gonchar' and A. E. Nikiforov, “Effect of Orbital Ordering on the Magnetic-Structure Formation in the LaMn03 Jahn-Teller Magnet,” Fiz. Tverd. Tela 42 (6), 1038–1042 (2000) [Phys. Solid State 42 (6), 1070–1074 (2000)].

    Google Scholar 

  19. O. V Kovalev, Irreducible and Induced Representations and Co representations of Fedorov Groups (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  20. M. I. Aroyo, A. Kirov, C. Capillas, et al., “Bilbao Crystallographic Server II: Representations of Crystallographic Point Groups and Space Groups,” Acta Crystalogr., Sect. A: Found. Crystallogr. 62, 115 (2006).

    Article  Google Scholar 

  21. L. P. Bouckaert, R. Smoluchowski, and E. Wigner, “Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals,” Phys. Rev. 50, 58–67 (1936).

    Article  Google Scholar 

  22. F. Moussa, M. Hennion, J. Rodriguez-Carvajal, and H. Moudden, “Spin Waves in the Antiferromagnet Perovskite LaMnO3: A Neutron-Scattering Study,” Phys. Rev. B: Condens. Matter 54 (21), 15149–15155 (1996).

    Article  Google Scholar 

  23. M. Cwik, T. Lorenz, J. Baier, et al., “Crystal and Magnetic Structure of LaTi03: Evidence for Nondegenerate t2g Orbitals,” Phys. Rev. B: Condens. Matter 68, 060401 (2003).

    Article  Google Scholar 

  24. R. Schmitz, O. Entin-Wohlman, A. Aharony, and E. Hartmann, “Orbital Order, Anisotropic Spin Couplings, and the Spin-Wave Spectrum of the Ferromag netic Mott Insulator YTiO3,” arXiv: cond-mat/0506328 (2005).

  25. P Bordet, C. Chaillout, M. Marezio, et al., “Structural Aspects of the Crystallographic-Magnetic Transition in LaVO3 around 140 K,” J. Solid State Chem. 106, 253–270 (1993).

    Article  Google Scholar 

  26. G. R. Blake, T. T. M. Palstra, Y. Ren, et al., “Neutron Diffraction, X-ray Diffraction, and Specific Heat Studies of Orbital Ordering in YV03,” Phys. Rev. B: Condens. Matter 65, 174112 (2002).

    Article  Google Scholar 

  27. A. C. Komarek, H. Roth, M. Cwik, et al., “Magnetoelastic Coupling in RTi03 (R = La, Nd, Sm, Gd, Y) Investigated with Diffraction Techniques and Thermal Expan sion Measurements,” Phys. Rev. B: Condens. Matter 75, 224 402 (2007).

    Article  Google Scholar 

  28. P Norby, I. G. K. Andersen, E. K. Andersen, and N. H. Andersen, “The Crystal Structure of Lanthanum Manganate (III), LaMn03 at Room Temperature and at 1273 K under N2,” J. Solid State Chem. 95 (1), 191–196 (1995).

    Article  Google Scholar 

  29. T. Kiyama and M. Itoh, “Presence of 3d Quadrupole Moment in LaTi03 Studied by 47,49Ti NMR,” Phys. Rev. Lett. 91, 167 202 (2003).

    Article  Google Scholar 

  30. F. Iga, M. Tsubota, M. Sawada, et al., “Determination of the Orbital Polarization in YTiO3 by Using Soft X-ray Linear Dichroism,” Phys. Rev. Lett. 93, 257 207 (2004).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.A. Mozhegorov, A.V. Larin, A.E. Nikiforov, 2008, published in Fizika Metallov i Metallovedenie, 2008, Vol. 105, No. 3, pp. 235–244.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mozhegorov, A.A., Larin, A.V. & Nikiforov, A.E. Structure and lattice distortions of orthorhombic crystals with 3d ions. Phys. Metals Metallogr. 105, 219–227 (2008). https://doi.org/10.1007/s11508-008-3002-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11508-008-3002-4

PACS numbers

Navigation