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The elastic constants of monoclinic single-crystal chrome-diopside to 1,300 K

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Abstract

Values of the complete adiabatic elastic tensor for single-crystal chrome-diopside (a monoclinic pyroxene mineral) are presented from 298 to 1,300 K. The data were obtained using resonant ultrasound spectroscopy (RUS). They are the first published results for the temperature T dependences of the 13 individual elastic constants C ij of any clinopyroxene mineral. Each C ij is appropriately described by a linear function in T throughout the range of T. Values for each (∂C ij /∂T) P in GPa K−1 are as follows: C 11, −0.0291; C 22, −0.0248; C 33, −0.0179; C 44, −0.0103; C 55, −0.0077; C 66, −0.0152; C 12, −0.0119; C 13, −0.0064; C 23, 0.0000; C 15, 0.0025; C 25, 0.0022; C 35, −0.0046; and C 46, 0.0026. Values of (∂M/∂T) P in GPa K−1, where M represents an isotropic bulk property calculated from the C ij data, are as follows: adiabatic bulk modulus K S , −0.0123; isothermal bulk modulus K T , −0.0178; and shear modulus G, −0.00998. Some diopside derivatives, notably (∂K S /∂T) P , (∂K T /∂T) P , and (∂V P /∂T) P , where V P is the compressional wave velocity, have smaller magnitudes than all other minerals of importance in Earth’s mantle, thus, confirming predictions from systematics studies. We find several dimensionless quantities for this monoclinic mineral have normal values compared to other mantle minerals. Further, αK T (α is the volume coefficient of thermal expansion) for diopside is approximately independent of both T and volume V at elevated temperature, so its equation of state is accurately expressed in simplified form.

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Acknowledgements

Wayne Dollase (UCLA) provided valuable assistance to the high-temperature data reduction through his analysis of the thermal expansion of monoclinic diopside. Michael Brown (University of Washington) provided the computer code by which the Hashin–Shtrikman bounds were calculated from single-crystal elastic constants. Evan Fisher (Azusa Pacific University) performed some final data reduction calculations. Azusa Pacific University provided a student travel grant for this project. This research was supported by NSF EAR-0073989 and NSF EAR-0409171. IGPP no. 6205.

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Authors and Affiliations

  1. Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA, USA

    D.G. Isaak

  2. Department of Mathematics and Physics, Azusa Pacific University, Azusa, CA, USA

    D.G. Isaak & P.C. Lee

  3. Department of Earth Sciences, Faculty of Science, Ehime University, Bunkyo-cho, Matsuyama, Japan

    I. Ohno

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  1. D.G. Isaak
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  2. I. Ohno
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  3. P.C. Lee
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Correspondence to D.G. Isaak.

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Isaak, D., Ohno, I. & Lee, P. The elastic constants of monoclinic single-crystal chrome-diopside to 1,300 K. Phys Chem Minerals 32, 691–699 (2006). https://doi.org/10.1007/s00269-005-0047-9

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  • DOI: https://doi.org/10.1007/s00269-005-0047-9

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