Equation of state of synthetic qandilite Mg2TiO4 at ambient temperature

详细信息    查看全文

• 作者：Mingda Lv ; Xi Liu ; Sean R. Shieh ; Tianqi Xie ; Fei Wang…
• 关键词：Compressibility ; Diamond ; anvil cell ; Synchrotron X ; ray diffraction ; Qandilite
• 刊名：Physics and Chemistry of Minerals
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：43
• 期：4
• 页码：301-306
• 全文大小：610 KB
• 参考文献：Akimoto S, Syono Y (1967) High-pressure decomposition for some titanate spinels. J Chem Phys 47:1813–1817CrossRef
  Al-Hermezi HM (1985) Qandilite, a new spinel end-member, Mg2TiO4, from the Qala-Dizeh region, NE Iraq. Miner Mag 49:739–744CrossRef
  Angel RJ (2000) Equation of state. In: Hazen RM, Downs RT (eds) High-temperature and high-pressure crystal chemistry. Reviews in Mineralogy and Geochemistry, vol 41. Mineralogical Society of America, Chantilly, pp 35–60
  Bass JD, Liebermann RC, Weidner DJ, Finch SJ (1981) Elastic properties from acoustic and volume compression experiments. Phys Earth Planet Inter 25:140–158CrossRef
  Birch F (1947) Finite elastic strain of cubic crystals. Phys Rev 71:809–924CrossRef
  Birch F (1978) Finite strain isotherm and velocities for single-crystal and polycrystalline NaCl at high-pressures and 300 K. J Geophys Res 83:1257–1268CrossRef
  Bosi F, Hålenius U, Skogby H (2014) Crystal chemistry of the ulvöspinel-qandilite series. Am Miner 99:847–851CrossRef
  Chang L, Chen Z, Liu X, Wang H (2013) Expansivity and compressibility of wadeite-type K2Si4O9 determined by in situ high T/P experiments, and their implication. Phys Chem Miner 40:29–40CrossRef
  Ferry JM (1996) Three novel isograds in metamorphosed siliceous dolomites from the Ballachulish aureole, Scotland. Am Miner 81:485–494CrossRef
  Fleet ME, Liu X, Shieh SR (2010) Structural change in lead fluorapatite at high pressure. Phys Chem Miner 37:1–9CrossRef
  Gittins J, Fawcett JJ, Rucklidge JC, Brooks CK (1982) An occurrence of the spinel end-member Mg2TiO4 and related spinel solid solutions. Miner Mag 45:135–137CrossRef
  Harrison RJ, Palin EJ, Perks N (2013) A computational model of cation ordering in the magnesioferrite–qandilite (MgFe2O4–Mg2TiO4) solid solution and its potential application to titanomagnetite (Fe3O4–Fe2TiO4). Am Miner 98:698–708CrossRef
  Hazen RM, Yang H (1999) Effects of cation substitution and order-disorder on PVT-equations of state of cubic spinels. Am Miner 84:1956–1960CrossRef
  Heinz DL, Jeanloz R (1984) The equation of state of the gold calibration standard. J Appl Phys 55:885–893CrossRef
  Holland TJB, Redfern SAT (1997) Unit cell refinement from powder diffraction data; the use of regression diagnostics. Miner Mag 61:65–77CrossRef
  Hu X, Liu X, He Q, Wang H, Qin S, Ren L, Wu C, Chang L (2011) Thermal expansion of andalusite and sillimanite at ambient pressure: a powder X-ray diffraction study up to 1000 °C. Miner Mag 75:363–374CrossRef
  Klotz S, Chervin JC, Munsch P, Le Marchand G (2009) Hydrostatic limits of 11 pressure transmitting media. J Phys D Appl Phys 42:075413CrossRef
  Liebermann RC, Jackson I, Ringwood AE (1977) Elasticity and phase equilibria of spinel disproportionation reactions. Geophys J Int 50:553–586CrossRef
  Liu X, Shieh SR, Fleet ME, Zhang L (2009) Compressibility of a natural kyanite to 17.5 GPa. Prog Nat Sci 19:1281–1286CrossRef
  Liu X, Shieh SR, Fleet ME, Zhang L, He Q (2011) Equation of state of carbonated hydroxylapatite at ambient temperature up to 10 GPa: significance of carbonate. Am Miner 96:74–80CrossRef
  Liu X, Xiong Z, Chang L, He Q, Wang F, Shieh SR, Wu C, Li B, Zhang L (2015) Anhydrous ringwoodites in the mantle transition zone: their bulk modulus, solid solution behavior, compositional variation, and sound velocity feature. Solid Earth Sci. doi:10.​1016/​j.​sesci.​2015.​09.​001
  Mao HK, Bell PM, Shaner JW, Steinberg DJ (1978) Specific volume measurements of Cu, Mo, Pt, and Au and calibration of ruby R1 fluorescence pressure gauge for 0.006 to 1 Mbar. J Appl Phys 49:3276–3283CrossRef
  Millard RL, Peterson RC, Hunter BK (1995) Study of the cubic to tetragonal transition in Mg2TiO4 and Zn2TiO4 spinels by 17O MAS NMR and Rietveld refinement of X-ray diffraction data. Am Miner 80:885–896CrossRef
  O’Neill HStC, Scott DR (2005) The free energy of formation of Mg2TiO4 (synthetic qandilite), an inverse spinel with configurational entropy. Eur J Miner 17:315–323CrossRef
  O’Neill HStC, Redfern SA, Kesson S, Short S (2003) An in situ neutron diffraction study of cation disordering in synthetic qandilite Mg2TiO4 at high temperatures. Am Miner 88:860–865CrossRef
  Oktyabrsky RA, Shcheka SA, Lennikov M, Afanasyeva TB (1992) The first occurrence of qandilite in Russia. Miner Mag 56:385–389CrossRef
  Palin EJ, Walker AM, Harrison RJ (2008) A computational study of order–disorder phenomena in Mg2TiO4 spinel (qandilite). Am Miner 93:1363–1372CrossRef
  Pascal ML, Fonteilles M, Boudouma O, Principe C (2011) Qandilite from vesuvius skarn ejecta: conditions of formation and miscibility gap in the ternary spinel-qandilite–magnesioferrite. Can Miner 49:459–485CrossRef
  Prescher C, Prakapenka VB (2015) DIOPTAS: a program for reduction of two-dimensional X-ray diffraction data and data exploration. High Press Res 35:223–230CrossRef
  Rigden SM, Jackson I (1991) Elasticity of germanate and silicate spinels at high pressure. J Geophys Res 96:9999–10006CrossRef
  Rigden SM, Jackson I, Niesler H, Ringwood AE, Liebermann RC (1988) Pressure dependence of the elastic wave velocities from Mg2GeO4 spinel to 3 GPa. Geophys Res Lett 15:605–608CrossRef
  Sawada H (1996) Electron density study of spinels: magnesium titanium oxide (Mg2TiO4). Mater Res Bull 31:355–360CrossRef
  Syono Y, Fukai Y, Ishikawa Y (1971) Anomalous elastic properties of Fe2TiO4. J Phys Soc Jpn 31:471–476CrossRef
  Wechsler BA, Navrotsky A (1984) Thermodynamics and structural chemistry of compounds in the system MgO–TiO2. J Solid State Chem 55:165–180CrossRef
  Wechsler BA, Von Dreele RB (1989) Structure refinements of Mg2TiO4, MgTiO3 and MgTi2O5 by time-of-flight neutron powder diffraction. Acta Crystallogr B 45:542–549CrossRef
  Xiong Z, Liu X, Shieh SR, Wang F, Wu X, Hong X, Shi Y (2015) Equation of state of a synthetic ulvöspinel, (Fe1.94Ti0.03) Ti1.00O4.00, at ambient temperature. Phys Chem Miner 42:171–177CrossRef
  Yamanaka T, Mine T, Asogawa S, Nakamoto Y (2009) Jahn-Teller transition of Fe2TiO4 observed by maximum entropy method at high pressure and low temperature. Phys Rev B 80:134120CrossRef
  Yamanaka T, Kyono A, Nakamoto Y, Meng Y, Kharlamova S, Struzhkin VV, Mao HK (2013) High-pressure phase transitions of Fe3−xTixO4 solid solution up to 60 GPa correlated with electronic spin transition. Am Miner 98:736–744CrossRef
  
• 作者单位：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. Key Laboratory of Orogenic Belts and Crustal Evolution, MOE, Peking University, Beijing, 100871, People’s Republic of China
  2. School of Earth and Space Sciences, Peking University, Beijing, 100871, People’s Republic of China
  3. Department of Earth Sciences, University of Western Ontario, London, ON, N6A 5B7, Canada
  4. Center for Advanced Radiation Sources, University of Chicago, Chicago, IL, 60439, USA
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Mineralogy
  Crystallography
  Geochemistry
  Mineral Resources
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-2021

文摘

Using a diamond-anvil cell and synchrotron X-ray diffraction, the compressional behavior of a synthetic qandilite Mg<sub>2.00(1)sub>Ti<sub>1.00(1)sub>O<sub>4sub> 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 <sub> T0sub>) 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 <sub> T0sub> value is 172(1) GPa. This value is substantially larger than the value of the adiabatic bulk modulus (K <sub> S0sub>) 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 <sub> T0sub> 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 <sub> T0sub> values of the ulvöspinel (Fe<sub>2sub>TiO<sub>4sub>; ~148(4) GPa with \(K_{T0}^{{\prime }} = 4\)) and the ringwoodite solid solutions along the Mg<sub>2sub>SiO<sub>4sub>–Fe<sub>2sub>SiO<sub>4sub> 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 <sub> T0sub> than that on the M sites.