Skip to main content
Log in

Vibrational, Elastic Properties and Sound Velocities of MgTi2O4 Spinel

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

Zone-centre phonon frequencies, elastic properties and sound velocities along high-symmetry directions and Debye temperature of MgTi2O4 spinel is calculated using rigid ion model. The interatomic interactions up to third nearest neighbours are also calculated. The main results of the present paper reveals that the tetrahedral bonding is stronger than the octahedral bonding. Calculated results are compared with previously available experimental and theoretical data. It is observed that the obtained results are in good agreement with the available results in literature.

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. Johnston, D.C., Prakash, H., Zachariasen, W.H., Viswanathan, R.: High temperature superconductivity in the Li-Ti-O ternary system. Mater. Res. Bull. 8, 777 (1973)

    Article  Google Scholar 

  2. Kondo, S., Johnston, D.C., Swenson, C.A., Borsa, F., Mahajan, A.V., Miller, L.L., Gu, T., Goldman, A.I., Maple, M.B., Gajewski, D.A., Freeman, E.J., Dilley, N.R., Dickey, R.P., Merrin, J., Kojima, K., Luke, G.M., Uemura, Y.J., Chmaissem, O., Jorgensen, J.D.: LiV2O4: a heavy fermion transition metal oxide. Phys. Rev. Lett. 78, 3729 (1997)

    Article  ADS  Google Scholar 

  3. Fujiwara, N., Yasuoka, H., Ueda, Y.: Anomalous spin fluctuation in vanadium spinel LiV2O4 studied by 7Li-NMR. Phys. Rev. B 57, 3539 (1998)

    Article  ADS  Google Scholar 

  4. Urano, C., Nohara, M., Kondo, S., Sakai, F., Takagi, H., Shiraki, T., Okubo, T.: LiV2O4 spinel as a heavy mass Fermi liquid: anomalous transport and role of geometrical frustration. Phys. Rev. Lett. 85, 1052 (2000)

    Article  ADS  Google Scholar 

  5. Liu, J., Chen, L., Liu, Y., Dong, H.N., Li, L.: Influence of F-ligands on half-metallicity of cubic spinel materials. J. Super Cond. Nov. Magn. 23, 961–965 (2010)

    Article  Google Scholar 

  6. Gurgel, T.T., Buzinaro, M.A., Moreno, N.O.: Magnetization study in CuCr2O4 spinel oxide. J. Super Cond. Nov. Magn. 26, 2557–2559 (2013)

    Article  Google Scholar 

  7. Matsuno, K., Katsufuji, T., Mori, S., Moritomo, Y., Machida, A., Nishibori, E., Takata, M., Sakata, M., Yamamoto, N., Takagi, H.: Charge ordering in the geometrically frustrated spinel AlV2O4. J. Phys. Soc. Jpn. 70, 1456 (2001)

    Article  ADS  Google Scholar 

  8. Isobe, M., Ueda, Y.: Observation of phase transition from metal to spin-singlet insulator in MgTi2O4 with S = 1/2 Pyrochlore Lattice. J. Phys. Soc. Jpn. 71, 1848 (2002)

    Article  ADS  Google Scholar 

  9. Schmidt, M., Ratcliff, W., Radaelli, P.G., Refson, K., Harrison, N.M., Cheong, S-W.: Spin singlet formation in MgTi2O4: evidence of a helical dimerization pattern. Phys. Rev. Lett. 92, 056402 (2004)

    Article  ADS  Google Scholar 

  10. Brik, M.G., Suchocki, A., Kaminska, A.: Lattice parameters and stability of the spinel compounds in relation to the ionic radii and electronegativities of constituting chemical elements. Inorg. Chem. 53(10), 5088–5099 (2014)

    Article  Google Scholar 

  11. Leoni, S., Yaresko, A.N., Perkins, N., Rosner, H., Craco, L.: Orbital- spin order and the origin of the structural distortion in MgTi2O4. Phys. Rev. B 78, 125105 (2008)

    Article  ADS  Google Scholar 

  12. Ono, H., Nakajima, K., Agawa, S., Ibuta, T., Maruo, R., Usui, T.: Formation conditions of Ti2O3, MgTi2O4, Mg2TiO4, and MgAl2O4 in Ti-Mg-Al complex deoxidation of molten iron. Steel Res. Int. 86, 241–251 (2015)

    Article  Google Scholar 

  13. Lee, S.-H., Takagi, H., Louca, D., Matsuda, M., Ji, S., Ueda, H., Ueda, Y., Katsufuji, T., Chung, J.-H., Park, S., Cheong, S-W., Broholm, C.: Frustrated magnetism and cooperative phase transitions in spinels. J. Phys. Soc. 79, 011004 (2010)

    Article  ADS  Google Scholar 

  14. Fujiwara, H., Ishige, Y., Mizokawa, T., Sasaki, T., Isobe, M., Ueda, Y.: Valence instability and photochemical reaction at surface of strongly correlated MgTi2O4. APL Mater. 1, 022110 (2013)

    Article  ADS  Google Scholar 

  15. Popovic, Z.V., Marzi, G.D., Konstantinovic, M.J., Cantarero, A., Mitrovic, Z.D., Isobe, M., Ueda, Y.: Phonon properties of spinel oxide MgTi2O4 with S = 1/2 pyrochlore lattice. Phys. Rev. B 68, 224302 (2003)

    Article  ADS  Google Scholar 

  16. Ewald, P.P.: Z. Krist. 56, 129 (1921)

    Google Scholar 

  17. Kushwaha, A.K.: Zone-center phonon frequencies for superconducting spinel LiTi2O4. Physica B 403, 3535 (2008)

    Article  ADS  Google Scholar 

  18. Kushwaha, A.K.: Vibrational and elastic properties of aluminate spinel MgAl2O4. Physica B 405, 2795–2798 (2010)

    Article  ADS  Google Scholar 

  19. Kushwaha, A.K.: Vibrational, elastic properties and sound velocities of zinc aluminate spinel. Comput. Mater. Sci. 69, 505–509 (2013)

    Article  Google Scholar 

  20. Born, M.H.: Dynamical Theory of Crystal Lattices. Oxford University, Oxford (1988)

    MATH  Google Scholar 

  21. Gao, X.P., Jiang, Y.H., Zhou, R., Feng, J.: Stability and elastic properties of Y–C binary compounds investigated by first principles calculations. Alloys Compd. 587, 819–826 (2014)

    Article  Google Scholar 

  22. Huang, B., Duan, Y.H., Sun, Y., Peng, M.J.: Chen. S.: Electronic structures, mechanical and thermodynamic properties of cubic alkaline-earth hexaborides from first principles calculations. J. Alloys Compd. 635, 213–224 (2015)

    Article  Google Scholar 

  23. Wdowik, U.P., Parlinski, K., Siegel, A.: Elastic properties and high-pressure behavior of MgAl2O4 from ab initio calculations. J. Phys. Chem. Solids 67, 1477–1483 (2006)

    Article  ADS  Google Scholar 

  24. Schreiber, E., Anderson, O.L., Soga, N.: Elastic Constants and Their Measurement. McGraw-Hill, New York (1973)

    Google Scholar 

  25. Pugh, S.F. XCII.: Relations between the elastic moduli and the plastic properties of polycrystalline püre metals. Philos. Mag. 45, 823–843 (1954)

    Article  Google Scholar 

  26. Frantsevich, I.N., Voronov, F.F., Bokuta, S.A.: Elastic constants and elastic moduli of metals and insulators (Naukova Dumka Kiev), p. 60 (1982)

  27. Huang, B., et al.: J. Alloys Compd. 587, 819–826 (2014)

    Article  Google Scholar 

  28. Lewandowski, J.J., Wang, W.H., Greer, A.L.: Intrinsin plasticity or brittleness of metallic glasses. Philos. Mag. Lett. 85, 77–87 (2005)

    Article  ADS  Google Scholar 

  29. Pettifor, D.G.: Theoretical predictions of structure and related properties of intermetallics. Mater. Sci. Technol. 8, 345–349 (1992)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Akbudak.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akbudak, S., Kushwaha, A.K. Vibrational, Elastic Properties and Sound Velocities of MgTi2O4 Spinel. J Supercond Nov Magn 31, 1421–1425 (2018). https://doi.org/10.1007/s10948-017-4347-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-017-4347-3

Keywords

Navigation