skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Single crystal elasticity of natural topaz at high-temperatures

Journal Article · · Scientific Reports
ORCiD logo [1];  [1];  [1];  [2];  [3]; ORCiD logo [4];  [1];  [1]
  1. Florida State Univ., Tallahassee, FL (United States). Dept. of Earth, Ocean and Atmospheric Sciences, Earth Materials Lab.
  2. German Research Center for Geosciences (GFZ), Potsdam (Germany)
  3. Univ. Clermont Auvergene (France). Lab. Magmas et Volcans
  4. 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 (Al2SiO4F1.42(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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Science Foundation (NSF); Young Scholars Program; State of Florida; European Regional Development Fund (ERDF)
Grant/Contract Number:
89233218CNA000001; EAR-1634422
OSTI ID:
1624370
Journal Information:
Scientific Reports, Vol. 8, Issue 1; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (38)

Elastic behavior and pressure-induced structure evolution of topaz up to 45 GPa journal April 2014
Temperature variation of elastic constants of quartz across the α - β transition journal January 2006
Elastic moduli of precompressed pyrophyllite used in ultrahigh‐pressure research journal September 1975
Thermoelastic properties of beryl, topaz, diaspore, sanidine and periclase journal January 1993
Rectangular parallelepiped resonance—A technique of resonance ultrasound and its applications to the determination of elasticity at high temperatures journal April 1992
Solving the Christoffel equation: Phase and group velocities journal October 2016
Hydroxyl-rich topaz in high-pressure and ultrahigh-pressure kyanite quartzites, with retrograde woodhouseite, from the Sulu terrane, eastern China journal April 2002
Temperature dependence of elastic moduli of polycrystalline β plutonium journal August 2011
Effects of fluorine content on the elastic behavior of topaz [Al 2 SiO 4 (F,OH) 2 ] journal February 2017
A simplified method for calculating the debye temperature from elastic constants journal July 1963
The low velocity layer in subduction zone: Structure and elasticity of glaucophane at high pressures journal October 2012
Clay mineral elastic properties conference March 2012
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] journal November 2003
Free vibration of a rectangular parallelepiped crystal and its application to determination of elastic constants of orthorhombic crystals. journal January 1976
Single-crystal elasticity of diaspore, AlOOH, to 12GPa by Brillouin scattering journal November 2008
Determination of elastic constants of a single-crystal topaz and their temperature dependence via sphere resonance method journal October 2017
On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects journal October 1991
The Voigt‐Reuss‐Hill (VRH) Approximation and the Elastic Moduli of Polycrystalline ZnO, TiO 2 (Rutile), and α‐Al 2 O 3 journal May 1968
The relationship of elasticity and crystal structure in andalusite and sillimanite journal January 1978
Elasticity of phase-Pi (Al3Si2O7(OH)3) – A hydrous aluminosilicate phase journal August 2017
Crystal structure, equation of state, and elasticity of hydrous aluminosilicate phase, topaz-OH (Al2SiO4(OH)2) at high pressures journal February 2016
Elastic constants of ice III by Brillouin spectroscopy journal August 1994
Effect of temperature and pressure on the crystal structure of topaz, Al2SiO4(OH,F)2 journal January 2003
Resonant ultrasound spectroscopy journal July 1997
Stability limits of hydrous minerals in sediment and mid-ocean ridge basalt compositions: Implications for water transport in subduction zones journal August 1998
Implementation of a modern resonant ultrasound spectroscopy system for the measurement of the elastic moduli of small solid specimens journal December 2005
The Elastic Constants of Anisotropic Materials journal July 1946
Elastic behaviour and structural evolution of topaz at high pressure journal March 2006
Ultradeep metamorphic rocks: The retrospective viewpoint journal May 1995
High Temperature Resonant Ultrasound Spectroscopy: A Review journal January 2010
Some elastic constant data on minerals relevant to geophysics book January 1988
High-temperature elasticity of iron-bearing olivines journal February 1992
Some elastic constant data on minerals relevant to geophysics journal January 1968
High-pressure synthesis and properties of OH-rich topaz [High-pressure synthesis and properties of OH-rich topaz] journal September 1999
Elasticity of pyrope and majorite–pyrope solid solutions to high temperatures journal October 2002
Thermodynamics of mantle minerals - II. Phase equilibria journal March 2011
Elasticity of coesite journal March 1977
Calculation of the elastic constants of the Al2SiO5 polymorphs andalusite, sillimanite and kyanite journal January 2001

Similar Records

\( \mathcal{N} \) = 4 supersymmetric Yang-Mills thermodynamics to order λ2
Journal Article · Mon Aug 16 00:00:00 EDT 2021 · Journal of High Energy Physics (Online) · OSTI ID:1624370

A Cr3+ luminescence study of natural topaz Al2SiO4(F,OH)2 up to 60 GPa
Journal Article · Fri Nov 01 00:00:00 EDT 2019 · American Mineralogist · OSTI ID:1624370

Drell-Yan angular lepton distributions at small x from TMD factorization.
Journal Article · Mon Sep 06 00:00:00 EDT 2021 · Journal of High Energy Physics (Online) · OSTI ID:1624370