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Elasticity of single-crystal aragonite by Brillouin spectroscopy

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Abstract

The elastic constants of natural single-crystal aragonite (CaCO3) have been measured by Brillouin spectroscopy at ambient conditions. The elastic constants C11, C22, C33, C44, C55, C66, C12, C13 and C23 are 171.1±1.0, 110.1±0.9, 98.4±1.2, 39.3±0.6, 24.2±0.4, 40.2±0.6, 60.3±1.0, 27.8±1.6 and 41.9±2.0 GPa, respectively, for aragonite. The linear compressibilities of the a-, b- and c-axis for aragonite at ambient conditions were derived from our measured data to be 3.0±0.2, 4.2±0.2 and 7.3±0.6×10−3 GPa−1, respectively. The aggregate bulk and shear moduli for aragonite using the Voigt-Reuss-Hill (VRH) scheme are thus calculated to be 68.9±1.4 and 35.8±0.2 GPa, respectively. The value of bulk modulus is in remarkable contrast to the literature value of 46.9 GPa measured almost a century ago. Our new datum, however, is closer to that derived from recent atomistic simulation and static compression studies.

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References

  • Bass JD (1995) Elasticity of minerals, glasses, and melts. In: Ahrens TJ (ed) Mineral physics and crystallography: a handbook of physical constants. American Geophysical Union, Washington, pp 45–63

    Google Scholar 

  • Chen CC, Lin CC, Liu L, Sinogeikin SV, Bass JD (2001) Elasticity of single-crystal calcite and rhodochrosite by Brillouin spectroscopy. Am Mineral 86:1525–1529

    CAS  Google Scholar 

  • Duffy TS, Zha CS, Downs RT, Mao HK, Hemley RJ (1995) Elasticity of forsterite to 16 GPa and the composition of the upper mantle. Nature 378:170–173

    Article  CAS  Google Scholar 

  • Every AG (1980) General closed-form expressions for acoustic waves in elastically anisotropic solids. Physi Rev B 22:1746–1760

    Article  CAS  Google Scholar 

  • Fisler DK, Gale JD, Cygan RT (2000) A shell model for the simulation of rhombohedral carbonate minerals and their point defects. Am Mineral 85:217–224

    CAS  Google Scholar 

  • Knittle E (1995) Static compression measurements of equation of state. In: Ahrens TJ (ed) Mineral physics and crystallography: a handbook of physical constants. American Geophysical Union, Washington, pp 98–142

    Google Scholar 

  • Liu L, Okamoto K, Yang Y, Chen C-C, Lin C-C (2004) Elasticity of single-crystal phase D (a dense hydrous magnesium silicate) by Brillouin spectroscopy. Solid State Commun 132:517–520

    Article  CAS  Google Scholar 

  • Martinez I, Zhang J, Reeder RJ (1996) In situ X-ray diffraction of aragonite and dolomite at high pressure and high temperature: evidence for dolomite breakdown to aragonite and magnesite. Am Mineral 81:611–624

    CAS  Google Scholar 

  • Nye JF (1957) Physical Properties of Crystals. Oxford University Press, London, pp 322

    Google Scholar 

  • Pavese A, Catti M, Price GD, Jackson RA (1992) Interatomic potentials for CaCO3 polymorphs (calcite and aragonite), fitted to elastic and vibrational data. Phys Chem Minerals 19:80–87

    Article  CAS  Google Scholar 

  • Sinogeikin SV, Bass JD (2000) Single-crystal elasticity of pyrope and MgO to 20 GPa by Brillouin scattering in the diamond cell. Phys Earth Planet Inter 120:43–62

    Article  CAS  Google Scholar 

  • Voigt W (1910) Lehrbuch der Kristallphysik, reprinted 1928. Teubner, Leipzig

  • Watt JP (1987) Polyxstal: a FORTRAN program to calculate average elastic properties of minerals from single-crystal elasticity data. Comput Geosci 13:441–462

    Article  Google Scholar 

  • Zha CS, Duffy TS, Downs RT, Mao HK, Hemley RJ (1996) Sound velocity and elasticity of single-crystal forsterite to 16 GPa. J Geophys Res 101:17535–17545

    Article  CAS  Google Scholar 

  • Zha CS, Duffy TS, Mao HK, Downs RT, Hemley RJ, Weidner DJ (1997) Single-crystal elasticity of β-Mg2SiO4 to the pressure of the 410 km seismic discontinuity in the Earth’s mantle. Earth Planet Sci Lett 147:E9–E15

    Article  CAS  Google Scholar 

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Acknowledgements

We are indebted to C. L. Chen for providing us with the sample, to H. D. Chiang at Institute of Materials Science and Engineering, National Sun Yat-Sen University for conducting probe analysis of the sample, and to the Instrumentation Center, College of Science, National Taiwan University for determining crystal orientations for two of the platelets. This work was supported by the Research Grant from National Sciences Council, ROC.

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Liu, Lg., Chen, Cc., Lin, CC. et al. Elasticity of single-crystal aragonite by Brillouin spectroscopy. Phys Chem Minerals 32, 97–102 (2005). https://doi.org/10.1007/s00269-005-0454-y

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