Single crystal elasticity of natural topaz at high-temperatures

Tennakoon, Sumudu; Peng, Ye; Mookherjee, Mainak; Speziale, Sergio; Manthilake, Geeth; Besara, Tiglet; Andreu, Luis; Rivera, Fernando

doi:10.1038/s41598-017-17856-3

Single crystal elasticity of natural topaz at high-temperatures

Journal Article · Mon Jan 22 00:00:00 EST 2018 · Scientific Reports

DOI:https://doi.org/10.1038/s41598-017-17856-3· OSTI ID:1624370

^[1]; Peng, Ye ^[2]; Mookherjee, Mainak ^[2]; Speziale, Sergio ^[3]; Manthilake, Geeth ^[4]; ^[5]; Andreu, Luis ^[2]; Rivera, Fernando ^[2]

Florida State Univ., Tallahassee, FL (United States). Dept. of Earth, Ocean and Atmospheric Sciences, Earth Materials Lab.; DOE/OSTI
Florida State Univ., Tallahassee, FL (United States). Dept. of Earth, Ocean and Atmospheric Sciences, Earth Materials Lab.
German Research Center for Geosciences (GFZ), Potsdam (Germany)
Univ. Clermont Auvergene (France). Lab. Magmas et Volcans
Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)

Topaz is an aluminosilicate mineral phase stable in the hydrothermally altered pegmatitic rocks and also in subducted sedimentary lithologies. In nature, topaz often exhibits solid solution between fluorine and hydrous end members. We investigated elasticity of naturally occurring single crystal topaz (Al₂SiO₄F_1.42(OH)_0.58) using Resonant Ultrasound Spectroscopy. We also explored the temperature dependence of the full elastic constant tensor. We find that among the various minerals stable in the Al₂O₃-SiO₂-H₂O ternary system, topaz exhibits moderate elastic anisotropy. As a function of temperature, the sound velocity of topaz decreases with \(\frac{{\boldsymbol{d}}{{\boldsymbol{V}}}_{{\boldsymbol{P}}}}{{\boldsymbol{d}}{\boldsymbol{T}}}\) and \(\frac{{\boldsymbol{d}}{{\boldsymbol{V}}}_{{\boldsymbol{S}}}}{{\boldsymbol{d}}{\boldsymbol{T}}}\) being –3.10 and –2.30 × 10^–4 km/s/K. The elasticity and sound velocity of topaz also vary as a function of OH and F content. The effect of composition (\({{\boldsymbol{x}}}_{{\boldsymbol{O}}{\boldsymbol{H}}}\)) on the velocity is equally important as that of the effect of temperature. We also note that the Debye temperature (\({{\boldsymbol{\Theta }}}_{{\boldsymbol{D}}}\)) of topaz at room temperature condition is 910 K and decreases at higher temperature. The Debye temperature shows positive correlation with density of the mineral phases in the Al₂O₃-SiO₂-H₂O ternary system.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: European Regional Development Fund (ERDF); National Science Foundation (NSF); State of Florida; USDOE Office of Science (SC); Young Scholars Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1624370

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 8; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (43)

The relationship of elasticity and crystal structure in andalusite and sillimanite Vaughan, Michael T.; Weidner, Donald J. Physics and Chemistry of Minerals, Vol. 3, Issue 2 https://doi.org/10.1007/bf00308117	journal	January 1978
Temperature variation of elastic constants of quartz across the α - β transition Ohno, Ichiro; Harada, Kazumi; Yoshitomi, Chihiro Physics and Chemistry of Minerals, Vol. 33, Issue 1 https://doi.org/10.1007/s00269-005-0008-3	journal	January 2006
Elastic behaviour and structural evolution of topaz at high pressure Gatta, G. Diego; Nestola, F.; Ballaran, T. Boffa Physics and Chemistry of Minerals, Vol. 33, Issue 4 https://doi.org/10.1007/s00269-006-0075-0	journal	March 2006
Elastic behavior and pressure-induced structure evolution of topaz up to 45 GPa Gatta, G. D.; Morgenroth, W.; Dera, P. Physics and Chemistry of Minerals, Vol. 41, Issue 8 https://doi.org/10.1007/s00269-014-0670-4	journal	April 2014
A simplified method for calculating the debye temperature from elastic constants Anderson, Orson L. Journal of Physics and Chemistry of Solids, Vol. 24, Issue 7 https://doi.org/10.1016/0022-3697(63)90067-2	journal	July 1963
Solving the Christoffel equation: Phase and group velocities Jaeken, Jan W.; Cottenier, Stefaan Computer Physics Communications, Vol. 207 https://doi.org/10.1016/j.cpc.2016.06.014	journal	October 2016
Single-crystal elasticity of diaspore, AlOOH, to 12GPa by Brillouin scattering Jiang, Fuming; Majzlan, Juraj; Speziale, Sergio Physics of the Earth and Planetary Interiors, Vol. 170, Issue 3-4 https://doi.org/10.1016/j.pepi.2008.05.011	journal	November 2008
Crystal structure, equation of state, and elasticity of hydrous aluminosilicate phase, topaz-OH (Al2SiO4(OH)2) at high pressures Mookherjee, Mainak; Tsuchiya, Jun; Hariharan, Anant Physics of the Earth and Planetary Interiors, Vol. 251 https://doi.org/10.1016/j.pepi.2015.11.006	journal	February 2016
Elasticity of phase-Pi (Al3Si2O7(OH)3) – A hydrous aluminosilicate phase Peng, Ye; Mookherjee, Mainak; Hermann, Andreas Physics of the Earth and Planetary Interiors, Vol. 269 https://doi.org/10.1016/j.pepi.2017.05.016	journal	August 2017
Determination of elastic constants of a single-crystal topaz and their temperature dependence via sphere resonance method Sema, Fumie; Watanabe, Tohru Physics of the Earth and Planetary Interiors, Vol. 271 https://doi.org/10.1016/j.pepi.2017.08.006	journal	October 2017
High-temperature elasticity of iron-bearing olivines Isaak, Donald G. Journal of Geophysical Research: Solid Earth, Vol. 97, Issue B2 https://doi.org/10.1029/91jb02675	journal	February 1992
Elasticity of coesite Weidner, Donald J.; Carleton, Herbert R. Journal of Geophysical Research, Vol. 82, Issue 8 https://doi.org/10.1029/jb082i008p01334	journal	March 1977
Implementation of a modern resonant ultrasound spectroscopy system for the measurement of the elastic moduli of small solid specimens Migliori, Albert; Maynard, J. D. Review of Scientific Instruments, Vol. 76, Issue 12 https://doi.org/10.1063/1.2140494	journal	December 2005
Elastic constants of ice III by Brillouin spectroscopy Tulk, C. A.; Gagnon, R. E.; Kiefte, H. The Journal of Chemical Physics, Vol. 101, Issue 3 https://doi.org/10.1063/1.467675	journal	August 1994
Resonant ultrasound spectroscopy Leisure, R. G.; Willis, F. A. Journal of Physics: Condensed Matter, Vol. 9, Issue 28 https://doi.org/10.1088/0953-8984/9/28/002	journal	July 1997
Thermodynamics of mantle minerals - II. Phase equilibria Stixrude, Lars; Lithgow-Bertelloni, Carolina Geophysical Journal International, Vol. 184, Issue 3 https://doi.org/10.1111/j.1365-246x.2010.04890.x	journal	March 2011
X-ray single-crystal structure refinement of an OH-rich topaz from Sulu UHP terrane (Eastern China) Structural foundation of the correlation between cell parameters and fluorine content [X-ray single-crystal structure refinement of an OH-rich topaz from Sulu UHP terrane (Eastern China) Structural foundation of the correlation between cell parameters and fluorine content] Alberico, Augusta; Ferrando, Simona; Ivaldi, Gabriella European Journal of Mineralogy, Vol. 15, Issue 5 https://doi.org/10.1127/0935-1221/2003/0015-0875	journal	November 2003
High Temperature Resonant Ultrasound Spectroscopy: A Review Li, G.; Gladden, J. R. International Journal of Spectroscopy, Vol. 2010 https://doi.org/10.1155/2010/206362	journal	January 2010
Thermoelastic properties of beryl, topaz, diaspore, sanidine and periclase Haussiihl, S. Zeitschrift für Kristallographie - Crystalline Materials, Vol. 204, Issue 1-2 https://doi.org/10.1524/zkri.1993.204.12.67	journal	January 1993
Hydroxyl-rich topaz in high-pressure and ultrahigh-pressure kyanite quartzites, with retrograde woodhouseite, from the Sulu terrane, eastern China Zhang, Ru Y.; Liou, Juhn G.; Shu, Jin F. American Mineralogist, Vol. 87, Issue 4 https://doi.org/10.2138/am-2002-0408	journal	April 2002
Effects of fluorine content on the elastic behavior of topaz [Al ₂ SiO ₄ (F,OH) ₂ ] Ulian, Gianfranco; Valdrè, Giovanni American Mineralogist, Vol. 102, Issue 2 https://doi.org/10.2138/am-2017-5668	journal	February 2017
Free vibration of a rectangular parallelepiped crystal and its application to determination of elastic constants of orthorhombic crystals. Ohno, Ichiro Journal of Physics of the Earth, Vol. 24, Issue 4 https://doi.org/10.4294/jpe1952.24.355	journal	January 1976
The relationship of elasticity and crystal structure in andalusite and sillimanite Vaughan, Michael T.; Weidner, Donald J. Physics and Chemistry of Minerals, Vol. 3, Issue 2 https://doi.org/10.1007/BF00308117	journal	January 1978
Elasticity of pyrope and majorite–pyrope solid solutions to high temperatures Sinogeikin, Stanislav V.; Bass, Jay D. Earth and Planetary Science Letters, Vol. 203, Issue 1 https://doi.org/10.1016/S0012-821X(02)00851-8	journal	October 2002
The low velocity layer in subduction zone: Structure and elasticity of glaucophane at high pressures Mookherjee, Mainak; Bezacier, Lucile Physics of the Earth and Planetary Interiors, Vol. 208-209 https://doi.org/10.1016/j.pepi.2012.07.007	journal	October 2012
High-temperature elasticity of iron-bearing olivines Isaak, Donald G. Journal of Geophysical Research: Solid Earth, Vol. 97, Issue B2 https://doi.org/10.1029/91JB02675	journal	February 1992
Ultradeep metamorphic rocks: The retrospective viewpoint Schreyer, Werner Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B5 https://doi.org/10.1029/94JB02912	journal	May 1995
Stability limits of hydrous minerals in sediment and mid-ocean ridge basalt compositions: Implications for water transport in subduction zones Ono, Shigeaki Journal of Geophysical Research: Solid Earth, Vol. 103, Issue B8 https://doi.org/10.1029/98JB01351	journal	August 1998
Elasticity of coesite Weidner, Donald J.; Carleton, Herbert R. Journal of Geophysical Research, Vol. 82, Issue 8 https://doi.org/10.1029/JB082i008p01334	journal	March 1977
Some elastic constant data on minerals relevant to geophysics Anderson, Orson L.; Schreiber, Edward; Liebermann, Robert C. Reviews of Geophysics, Vol. 6, Issue 4 https://doi.org/10.1029/RG006i004p00491	journal	January 1968
Some elastic constant data on minerals relevant to geophysics Anderson, Orson L.; Schreiber, Edward; Liebermann, Robert C. Elastic Properties and Equations of State https://doi.org/10.1029/sp026p0237	book	January 1988
The Voigt‐Reuss‐Hill (VRH) Approximation and the Elastic Moduli of Polycrystalline ZnO, TiO ₂ (Rutile), and α‐Al ₂ O ₃ Chung, D. H.; Buessem, W. R. Journal of Applied Physics, Vol. 39, Issue 6 https://doi.org/10.1063/1.1656672	journal	May 1968
Elastic moduli of precompressed pyrophyllite used in ultrahigh‐pressure research Sachse, Wolfgang; Ruoff, Arthur L. Journal of Applied Physics, Vol. 46, Issue 9 https://doi.org/10.1063/1.322175	journal	September 1975
Temperature dependence of elastic moduli of polycrystalline β plutonium Suzuki, Yoko; Fanelli, V. R.; Betts, J. B. Physical Review B, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevB.84.064105	journal	August 2011
The Elastic Constants of Anisotropic Materials Hearmon, R. F. S. Reviews of Modern Physics, Vol. 18, Issue 3 https://doi.org/10.1103/RevModPhys.18.409	journal	July 1946
Thermodynamics of mantle minerals - II. Phase equilibria Stixrude, Lars; Lithgow-Bertelloni, Carolina Geophysical Journal International, Vol. 184, Issue 3 https://doi.org/10.1111/j.1365-246X.2010.04890.x	journal	March 2011
On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects Visscher, William M.; Migliori, Albert; Bell, Thomas M. The Journal of the Acoustical Society of America, Vol. 90, Issue 4 https://doi.org/10.1121/1.401643	journal	October 1991
Rectangular parallelepiped resonance—A technique of resonance ultrasound and its applications to the determination of elasticity at high temperatures Anderson, Orson L. The Journal of the Acoustical Society of America, Vol. 91, Issue 4 https://doi.org/10.1121/1.403658	journal	April 1992
High-pressure synthesis and properties of OH-rich topaz [High-pressure synthesis and properties of OH-rich topaz] Wunder, Bernd; Andrut, Michael; Wirth, Richard European Journal of Mineralogy, Vol. 11, Issue 5 https://doi.org/10.1127/ejm/11/5/0803	journal	September 1999
Clay mineral elastic properties Katahara, Keith W. SEG Technical Program Expanded Abstracts 1996 https://doi.org/10.1190/1.1826454	conference	March 2012
Thermoelastic properties of beryl, topaz, diaspore, sanidine and periclase Haussühl, S. Zeitschrift für Kristallographie - Crystalline Materials, Vol. 204, Issue 1 https://doi.org/10.1524/zkri.1993.204.part-1.67	journal	January 1993
Calculation of the elastic constants of the Al2SiO5 polymorphs andalusite, sillimanite and kyanite Winkler, Björn; Hytha, M.; Warren, M. C. Zeitschrift für Kristallographie - Crystalline Materials, Vol. 216, Issue 2 https://doi.org/10.1524/zkri.216.2.67.20336	journal	January 2001
Effect of temperature and pressure on the crystal structure of topaz, Al2SiO4(OH,F)2 Komatsu, Kazuki; Kuribayashi, Takahiro; Kudoh, Yasuhiro Journal of Mineralogical and Petrological Sciences, Vol. 98, Issue 5 https://doi.org/10.2465/jmps.98.167	journal	January 2003

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