High Pressure Elastic Behavior of Synthetic Mg3Y2( SiO4)(3) Garnet up to 9 GPa

The compression behavior of synthetic magnesium- (Mg-) yttrium (Y) garnet Mg3Y2(SiO4)3 has been investigated upto about 8.79 GPa at 300 K using in situ angle-dispersive X-ray diffraction and a diamond anvil cell at the beamline X17C, National Synchrotron Light Source, Brookhaven National Laboratory. No phase transition has been observed within the pressure range investigated. The unit-cell parameters and volume decreased systematically with increasing pressure, and a reliable isothermal bulk modulus () and its pressure derivative () were obtained in this study. The values of zero-pressure volume , , and refined with a third-order Birch-Murnaghan equation of state are  Å3,  GPa, and . If is fixed at 4, is obtained as  GPa.

[1]  F. Birch.  Finite Elastic Strain of Cubic Crystals , 1947 .

[2]  Xiaodong Li,et al.  Thermal equation of state of natural chromium spinel up to 26.8 GPa and 628 K , 2008 .

[3]  M. Tirone.  Diffusion of rare earth elements in garnets and pyroxenes: Experiment, theory and applications , 2002 .

[4]  R. Hazen,et al.  High-pressure crystal chemistry of andradite and pyrope; revised procedures for high-pressure diffraction experiments , 1989 .

[5]  R. Jeanloz,et al.  Equations of state of the high-pressure phases of a natural peridotite and implications for the Earth's lower mantle , 2004 .

[6]  Brian H. Toby,et al.  EXPGUI, a graphical user interface for GSAS , 2001 .

[7]  J. W. Shaner,et al.  Specific volume measurements of Cu, Mo, Pd, and Ag and calibration of the ruby R1 fluorescence pressure gauge from 0.06 to 1 Mbar , 1978 .

[8]  J. Hanson,et al.  Phase evolution of yttrium aluminium garnet (YAG) in a citrate–nitrate gel combustion process , 2004 .

[9]  Xie Hongsen,et al.  A New Method of Measurement for Elastic Wave Velocities in Minerals and Rocks at High Temperature and High Pressure and Its Significance , 1993 .

[10]  T. Duffy,et al.  Equation of state of a high-pressure phase of Gd3Ga5O12 , 2011 .

[11]  T. Irifune,et al.  Thermal equation of state of Mg3Al2Si3O12 pyrope garnet up to 19 GPa and 1,700 K , 2012, Physics and Chemistry of Minerals.

[12]  Robert M. Hazen,et al.  Crystal structures and compressibilities of pyrope and grossular to 60 kbar , 1978 .

[13]  P. Conrad,et al.  Comparative compressibilities of majorite-type garnets , 1994 .

[14]  Thomas J. Ahrens,et al.  Equation of State , 1993 .

[15]  John M Prausnitz,et al.  Equation of State , 2020, Inverse Heat Conduction and Heat Exchangers.

[16]  M. Fleet,et al.  High-pressure study on lead fluorapatite , 2008 .

[17]  A. E. Ringwood,et al.  Phase transformations in subducted oceanic crust and buoyancy relationships at depths of 600–800 km in the mantle , 1993 .

[18]  Chonghe Li,et al.  Correlation between bulk modulus of ternary intermetallic compounds and atomic properties of their constituent elements , 2004 .

[19]  J. Leger,et al.  Compressions of synthetic pyrope, spessartine and uvarovite garnets up to 25 GPa , 1990 .

[20]  S. Karato,et al.  Plastic deformation of garnets: systematics and implications for the rheology of the mantle transition zone , 1995 .

[21]  Ping Wu,et al.  Correlation of Bulk Modulus and the Constituent Element Properties of Binary Intermetallic Compounds , 2001 .

[22]  A. Kutoglu,et al.  Hydrostatic compression and crystal structure of pyrope to 33 GPa , 1998 .

[23]  A. E. Ringwood,et al.  Phase transformations in a harzburgite composition to 26 GPa: implications for dynamical behaviour of the subducting slab , 1987 .

[24]  Vohra,et al.  High-pressure and high-temperature studies on oxide garnets. , 1996, Physical review. B, Condensed matter.

[25]  D. Levy,et al.  Elastic properties of andradite and grossular, by synchrotron X-ray diffraction at high pressure conditions , 2001 .

[26]  Jianzhong Zhang.  Room-temperature compressibilities of MnO and CdO: further examination of the role of cation type in bulk modulus systematics , 1999 .

[27]  Armel Le Bail,et al.  Ab-initio structure determination of LiSbWO6 by X-ray powder diffraction , 1988 .

[28]  A. Bekker,et al.  Rare Earth Element and yttrium compositions of Archean and Paleoproterozoic Fe formations revisited: New perspectives on the significance and mechanisms of deposition , 2010 .

[29]  Jerome B. Hastings,et al.  Rietveld refinement of Debye–Scherrer synchrotron X‐ray data from Al2O3 , 1987 .

[30]  Qing-li Zhang,et al.  Garnet-to-perovskite transition in Gd3Sc2Ga3O12 at high pressure and high temperature. , 2013, Inorganic chemistry.

[31]  Y. Kono,et al.  P–V–T equation of state of Ca3Al2Si3O12 grossular garnet , 2011 .

[32]  H. Becker,et al.  Rare earth diffusion kinetics in garnet: Experimental studies and applications , 2005 .

[33]  Yosiko Sato,et al.  Hydrostatic compression of the synthetic garnets pyrope and almandine , 1978 .

[34]  Leland C. Allen,et al.  Electronegativity is the average one-electron energy of the valence-shell electrons in ground-state free atoms , 1989 .

[35]  J. Zhao,et al.  Effective hydrostatic limits of pressure media for high-pressure crystallographic studies , 2007 .

[36]  Jianzhong Zhang,et al.  Thermal equation of state of garnets along the pyrope-majorite join , 1998 .

[37]  A. Das,et al.  Determination of rare-earth elements and yttrium in silicate rocks by sequential inductively-coupled plasma emission spectrometry. , 1989, Talanta.

[38]  H. M. Hosseini,et al.  Preparation and characterization of yttrium iron garnet (YIG) nanocrystalline powders by auto-combustion of nitrate-citrate gel , 2007 .

[39]  D. Weidner,et al.  Compression of pyrope , 1979 .

[40]  J. Fourquet,et al.  Ab-initio structure determination of Li Sb W O~6~ by X-ray powder diffraction , 1988 .

[41]  R. Angel.  Equations of State , 2000 .

[42]  Jing Liu,et al.  High Pressure X-Ray Diffraction Study of a Grossular—Andradite Solid Solution and the Bulk Modulus Variation along this Solid Solution , 2011 .