V) data from room pressure to 9.51?GPa were fitted by a third-order Birch–Murnaghan equation of state (BM-EoS) and resulted in unit-cell volume V 0?=?675.5?±?0.1??3, isothermal bulk modulus K 0?=?180?±?2?GPa, and its pressure derivative \(K_{0}^{{\prime }}\)?=?4.2?±?0.5. We also calculated V 0?=?675.5?±?0.1??3 and K 0?=?181?±?1GPa with fixed \(K_{0}^{{\prime }}\) at 4.0 and then obtained the axial moduli for a (K a0)-axis and c (K c0)-axis of 209?±?1 and 141?±?2?GPa by “linearized-BM-EoS approach. The axial compressibilities of a-axis and c-axis are β a?=?1.59?×?10??GPa? and β c?=?2.36?×?10??GPa? with an anisotropic ratio of β a :β c?=?0.67:1.00. On the other hand, the pressure–volume–temperature (P-em class="EmphasisTypeItalic">V-em class="EmphasisTypeItalic">T) EoS of the natural beryl has also been measured at temperatures up to 750?K and at pressures up to 16.81?GPa, using diamond anvil cell in conjunction with in situ synchrotron angle-dispersive powder X-ray diffraction. The P-em class="EmphasisTypeItalic">V data at room temperature and at a pressure range of 0.0001-5.84?GPa were then analyzed by third-order BM-EoS and yielded V 0?=?675.3?±?0.1??3, K 0?=?180?±?2?GPa, \(K_{0}^{{\prime }}\)?=?4.2?±?0.3. With \(K_{0}^{{\prime }}\) fixed to 4.0, we also obtained V 0?=?675.2?±?0.1??3 and K 0?=?182?±?1?GPa. Consequently, we fitted the P-em class="EmphasisTypeItalic">V-em class="EmphasisTypeItalic">T data with high-temperature BM-EoS approach using the resultant \(K_{0}^{{\prime }}\) (4.2) from room-temperature BM-EoS and then obtained the thermoelastic parameters of V 0?=?675.3?±?0.2??3, K 0?=?180?±?1?GPa, temperature derivative of the bulk modulus (?K/?T) P ?=??.017?±?0.004?GPa?K?, and thermal expansion coefficient at ambient conditions α 0?=?(2.82?±?0.74)?×?10??K?. Present results were also compared with previous studies for beryl. From the comparison of these fittings, we propose to constrain K 0?=?180?GPa and \(K_{0}^{{\prime }}\)?=?4.2 for beryl. And we also observed that beryl exhibits anisotropic thermal expansion at relatively low temperatures, which is very consistent with previous studies. Furthermore, no phase transition was observed in the entire pressure and temperature range (up to 16.84?GPa and 750?K) of this study for the natural beryl." />
Compressibility and equation of state of beryl (Be3Al2Si6O18) by using a diamond anvil cell and in situ synchrotron X-ray diffraction
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  • 作者：Dawei Fan ; Jingui Xu ; Yunqian Kuang ; Xiaodong Li…
  • 关键词：Beryl ; Equation of state ; High pressure and high temperature ; X ; ray diffraction ; Diamond anvil cell
  • 刊名：Physics and Chemistry of Minerals
  • 出版年：2015
  • 出版时间：July 2015
  • 年：2015
  • 卷：42
  • 期：7
  • 页码：529-539
  • 全文大小：804 KB
  • 参考文献：Adamo I, Gatta GD, Rotiroti N, Diella V, Pavese A (2008) Gemmological investigation of a synthetic blue beryl: a multi-methodological study. Miner Mag 72:799-08View Article
    Aines RD, Rossman GR (1984) The high-temperature behaviour of water and carbon dioxide in cordierite and beryl. Am Miner 69:319-27
    Andersson LO (2006) The position of H+, Li+ and Na+ impurities in beryl. Phys Chem Miner 33:403-16View Article
    Angel R (2000) Equation of state. Rev Miner Geochem 41:35-0View Article
    Angel RJ, Bujak M, Zhao J, Gatta GD, Jacobsen SD (2007) Effective hydrostatic limits of pressure media for high-pressure crystallographic studies. J Appl Crystallogr 40:26-2View Article
    Artioli G, Rinaldi R, St?hl K, Zanazzi PF (1993) Structure refinements of beryl by single-crystal neutron and X-ray diffraction. Am Miner 78:762-68
    Aurisicchio C, Fioravanti G, Grubessi O, Zanazzi PF (1988) Reappraisal of the crystal chemistry of beryl. Am Miner 73:826-37
    Barton MD (1986) Phase equilibria and thermodynamic properties of minerals in the BeO–Al2O3–SiO2–H2O (BASH) system, with petrologic applications. Am Miner 71:277-00
    Brown GE Jr, Mills BA (1986) High-temperature structure and crystal chemistry of hydrous alkali-rich beryl from the Harding pegmatite, Taos County, New Mexico. Am Miner 71:547-56
    Burt DM (1978) Multisystems analysis of beryllium mineral stabilities: the system BeO–Al2O3–SiO2–H2O. Am Miner 63:664-76
    ?emi? L, Franz G, Langer K (1986) Experimental determination of melting relationships of beryl in the system BeO–Al2O3–SiO2–H2O between 10 and 25 kbar. Miner Mag 50:55-1View Article
    Charoy B (1999) Beryllium speciation in evolved granitic magmas: phosphates versus silicates. Eur J Miner 11:135-48View Article
    Charoy B, De Donato P, Barres O, Pinto-Coelho C (1996) Channel occupancy in alkali-poor beryl from Serra Branca (Goias, Brasil): spectroscopic characterization. Am Miner 81:395-03
    de Almeida Sampaio Filho H, Sighinolfi G, Galli E (1973a) Contribution to crystal chemistry of beryl. Contrib Miner Petr 38:279-90View Article
    de Almeida Sampaio Filho H, Sighinolfi GP, Galli E (1973b) Contribution to the crystal chemistry of beryl. Contrib Miner Petrol 38:270-90View Article
    Dera P, Zhuravlev K, Prakapenka V, Rivers ML, Finkelstein GJ, Grubor-Urosevic O, Tschauner O, Clark SM, Downs RT (2013) High-pressure single-crystal micro-X-ray diffraction (SCμXRD) analysis with GSE_ADA/RSV software. High Press Res 33:466-84View Article
    Evensen JM, London D, Wendlandt RF (1999) Solubility and stability of beryl in granitic melts. Am Miner 84:733-45
    Fan DW, Zhou WG, Wei SY, Liu YG, Ma MN, Xie HS (2010) A simple external resistance heating diamond anvil cell and its application for synchrotron radiation x-ray diffraction. Rev Sci Instrum 81:053903View Article
    Fei YW, Ricolleau A, Frank M, Mibe K, Shen GY, Prakapenka V (2007) Toward an internally consistent pressure scale. Proc Natl Acad Sci 104:9182-186View Article
    Gatta GD, Nestola F, Bromiley GD, Mattauch S (2006) The real topological configuration of the extra-framework content in alkali-poor beryl: a multi-methodological study. Am Miner 91:29-4View Article
    Gibbs GV, Breck DW, Meagher EP (1968) Structural refinement of hydrous and anhydrous synthetic beryl Al2(Be3Si6)O18 and emerald, Al1.9Cr0.1(Be3Si6)O18. Lithos 1:275-85View Article
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    Hazen RM, Finger LW (1987) High-temperature crystal chemistry of phenakite (Be2SiO4) and chrysoberyl (BeAl2O4). Phys Chem Miner 14:426-34View Article
    Hazen RM, Au AY, Finger LW (1986) High-pressure crystal chemistry of beryl (Be3Al2Si6O18) and euclase (BeAlSiO4OH). Am Miner 71:977-84
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  • 作者单位：Dawei Fan (1) (2)
    Jingui Xu (1) (3)
    Yunqian Kuang (1) (3)
    Xiaodong Li (4)
    Yanchun Li (4)
    Hongsen Xie (1)

    1. Key Laboratory for High Temperature and High Pressure Study of the Earth’s Interior, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang, 550002, China
    2. Center for High Pressure Science and Technology Advanced Research, Changchun, 130012, China
    3. University of Chinese Academy of Sciences, Beijing, 100049, China
    4. Beijing Synchrotron Radiation Facility, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China
  • 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
High-pressure single-crystal synchrotron X-ray diffraction was carried out on a single crystal of natural beryl compressed in a diamond anvil cell. The pressure–volume (P-em class="EmphasisTypeItalic">V) data from room pressure to 9.51?GPa were fitted by a third-order Birch–Murnaghan equation of state (BM-EoS) and resulted in unit-cell volume V 0?=?675.5?±?0.1??3, isothermal bulk modulus K 0?=?180?±?2?GPa, and its pressure derivative \(K_{0}^{{\prime }}\)?=?4.2?±?0.5. We also calculated V 0?=?675.5?±?0.1??3 and K 0?=?181?±?1GPa with fixed \(K_{0}^{{\prime }}\) at 4.0 and then obtained the axial moduli for a (K a0)-axis and c (K c0)-axis of 209?±?1 and 141?±?2?GPa by “linearized-BM-EoS approach. The axial compressibilities of a-axis and c-axis are β a?=?1.59?×?10??GPa? and β c?=?2.36?×?10??GPa? with an anisotropic ratio of β a :β c?=?0.67:1.00. On the other hand, the pressure–volume–temperature (P-em class="EmphasisTypeItalic">V-em class="EmphasisTypeItalic">T) EoS of the natural beryl has also been measured at temperatures up to 750?K and at pressures up to 16.81?GPa, using diamond anvil cell in conjunction with in situ synchrotron angle-dispersive powder X-ray diffraction. The P-em class="EmphasisTypeItalic">V data at room temperature and at a pressure range of 0.0001-5.84?GPa were then analyzed by third-order BM-EoS and yielded V 0?=?675.3?±?0.1??3, K 0?=?180?±?2?GPa, \(K_{0}^{{\prime }}\)?=?4.2?±?0.3. With \(K_{0}^{{\prime }}\) fixed to 4.0, we also obtained V 0?=?675.2?±?0.1??3 and K 0?=?182?±?1?GPa. Consequently, we fitted the P-em class="EmphasisTypeItalic">V-em class="EmphasisTypeItalic">T data with high-temperature BM-EoS approach using the resultant \(K_{0}^{{\prime }}\) (4.2) from room-temperature BM-EoS and then obtained the thermoelastic parameters of V 0?=?675.3?±?0.2??3, K 0?=?180?±?1?GPa, temperature derivative of the bulk modulus (?K/?T) P ?=??.017?±?0.004?GPa?K?, and thermal expansion coefficient at ambient conditions α 0?=?(2.82?±?0.74)?×?10??K?. Present results were also compared with previous studies for beryl. From the comparison of these fittings, we propose to constrain K 0?=?180?GPa and \(K_{0}^{{\prime }}\)?=?4.2 for beryl. And we also observed that beryl exhibits anisotropic thermal expansion at relatively low temperatures, which is very consistent with previous studies. Furthermore, no phase transition was observed in the entire pressure and temperature range (up to 16.84?GPa and 750?K) of this study for the natural beryl.

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