Physics and Chemistry of Minerals

, Volume 43, Issue 4, pp 301–306 | Cite as

Equation of state of synthetic qandilite Mg2TiO4 at ambient temperature

  • Mingda Lv
  • Xi Liu
  • Sean R. Shieh
  • Tianqi Xie
  • Fei Wang
  • Clemens Prescher
  • Vitali B. Prakapenka
Original Paper
First Online:
Received:
Accepted:

Abstract

Using a diamond-anvil cell and synchrotron X-ray diffraction, the compressional behavior of a synthetic qandilite Mg2.00(1)Ti1.00(1)O4 has been investigated up to about 14.9 GPa at 300 K. The pressure–volume data fitted to the third-order Birch–Murnaghan equation of state yield an isothermal bulk modulus (K T0) of 175(5) GPa, with its first derivative \(K_{T0}^{{\prime }}\) attaining 3.5(7). If \(K_{T0}^{{\prime }}\) is fixed as 4, the K T0 value is 172(1) GPa. This value is substantially larger than the value of the adiabatic bulk modulus (K S0) previously determined by an ultrasonic pulse echo method (152(7) GPa; Liebermann et al. in Geophys J Int 50:553–586, 1977), but in general agreement with the K T0 empirically estimated on the basis of crystal chemical systematics (169 GPa; Hazen and Yang in Am Miner 84:1956–1960, 1999). Compared to the K T0 values of the ulvöspinel (Fe2TiO4; ~148(4) GPa with \(K_{T0}^{{\prime }} = 4\)) and the ringwoodite solid solutions along the Mg2SiO4–Fe2SiO4 join, our finding suggests that the substitution of Mg2+ for Fe2+ on the T sites of the 4–2 spinels can have more significant effect on the K T0 than that on the M sites.

Keywords

Compressibility Diamond-anvil cell Synchrotron X-ray diffraction Qandilite 
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Notes

Acknowledgments

We thank Dr R. J. Angel for the discussions about the EoS fitting procedures, Dr F. Nestola and one anonymous reviewer for their constructive comments on our manuscript, and Dr T. Tsuchiya for processing our paper. The high-P work was performed at GeoSoilEnviroCARS (Sector 13), Advanced Photon Source (APS), Argonne National Laboratory. GeoSoilEnviroCARS is supported by the National Science Foundation-Earth Sciences (EAR-1128799) and Department of Energy-GeoSciences (DE-FG02-94ER14466). Use of the COMPRES-GSECARS gas loading system was supported by COMPRES under NSF Cooperative Agreement EAR 11-57758 and by GSECARS through NSF Grant EAR-1128799 and DOE Grant DE-FG02-94ER14466. This research used resources of the Advanced Photon Source, a U.S. Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract No. DE-AC02-06CH11357. This work is financially supported by the Natural Science Foundation of China (Grant Nos. 41440015 and 41273072).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Mingda Lv
    • 1
    • 2
  • Xi Liu
    • 1
    • 2
  • Sean R. Shieh
    • 3
  • Tianqi Xie
    • 3
  • Fei Wang
    • 1
    • 2
  • Clemens Prescher
    • 4
  • Vitali B. Prakapenka
    • 4
  1. 1.Key Laboratory of Orogenic Belts and Crustal Evolution, MOEPeking UniversityBeijingPeople’s Republic of China
  2. 2.School of Earth and Space SciencesPeking UniversityBeijingPeople’s Republic of China
  3. 3.Department of Earth SciencesUniversity of Western OntarioLondonCanada
  4. 4.Center for Advanced Radiation SourcesUniversity of ChicagoChicagoUSA

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