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Chinese Journal of High Pressure Physics  > 2002  >  16(4): 241-248 .
ZHOU Wen-Ge, XIE Hong-Sen, ZHAO Zhi-Dan, ZHOU Hui, GUO Jie. Calculation of the Strain, Stress and Elastic Energy for - Quartz Transition and Its Geological Significance[J]. Chinese Journal of High Pressure Physics, 2002, 16(4): 241-248 . doi: 10.11858/gywlxb.2002.04.001
Citation: ZHOU Wen-Ge, XIE Hong-Sen, ZHAO Zhi-Dan, ZHOU Hui, GUO Jie. Calculation of the Strain, Stress and Elastic Energy for - Quartz Transition and Its Geological Significance[J]. Chinese Journal of High Pressure Physics, 2002, 16(4): 241-248 . doi: 10.11858/gywlxb.2002.04.001
shu

Calculation of the Strain, Stress and Elastic Energy for - Quartz Transition and Its Geological Significance

doi: 10.11858/gywlxb.2002.04.001
  • 1.

    Laboratory of Geodynamic under High Temperature and Pressure, Institute Geochemistry, Chinese Academy of Sciences, Guiyang 550002, China;

  • 2.

    Department of Geology, China University of Geosciences (Beijing), Beijing 100083, China;

  • 3.

    Department of Geology, Beijing University, Beijing 100871, China

More Information
  • Corresponding author: ZHOU Wen-Ge
  • Received Date: 22 Apr 2002
  • Rev Recd Date: 24 Jun 2002
  • Publish Date: 05 Dec 2002
    Abstract
  • The variations of the lattice parameters of - and -quartz at high pressure and high temperature are calculated with the compressional and thermoelastic properties of - and -quartz. Combined the data of - quartz transition experiments with the results of calculation, the lattice parameters of - and -quartz at their transition pressure and temperature are determined firstly. Then, the strains, stresses and elastic energies for - quartz transformation were evaluated according to Hooke's law. The results indicate that at the pressure of 0~1.1 GPa, the linear strains vary in the range of -0.006~0.005, the volume strains in the range of -0.016~0.012, the stresses in the range of -0.46~0.14 GPa, and the elastic energies in the range of 965~2 760 kJ/m3. At about 0.5 GPa, the strains, stresses and elastic energies achieved their minimum values. Based on the calculation, the effect of the - quartz transformation on the wall rock in the crust during the acid magma intrusion is discussed.

     

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  • Heaney P J. Structure and Chemistry of the Low-Pressure Silica Polymorphs [A]. Heaney P J, Prewitt C T, Gibbs G V. Silica Physical Behavior, Geochemistry and Materials Applications. Reviews In Mineralogy [C]. 1994, 29: 1-40.
    Hemley R J, Prewitt C T, Kingma K J. High-Pressure Behavior of Silica [A]. Heaney P J, Prewitt C T, Gibbs G V. Silica Physical Behavior, Geochemistry and Materials Applications. Reviews In Mineralogy [C]. 1994, 29: 41-118.
    Lepage Y, Calvert L D, Gabe E J. Parameter Variation in Low Quartz between 94 and 298 K [J]. J of Phys and Chem Solids, 1980, 41: 721-735.
    Carpenter M A, Salje E K H, Graeme-Barber A, et al. Calibration of Excess Thermodynamic Properties and Elastic Constant Variations Associated with the Phase Transition in Quartz [J]. American Mineralogist, 1998, 83(1): 2-22.
    Mcskimin H J, Andreatch P, Thurston R N. Elastic Moduli of Quartz Hydrostatic Pressure at 25℃ and －195. 8℃ [J]. Journal of Applied Physics, 1965, 36(5): 1624-1632.
    McWhan D B. Linear Compression of -Quartz to 150Kbar [J]. Journal of Applied Physics, 1967, 38: 347-352.
    Vaidya S N, Bailey S, Pasternack T, et al. Compressibility of Fifteen Minerals to 45 Kilobars [J]. J Geophys Res, 1973, 78: 6893-6898.
    Olinger B, Halleck P M. The Compression of Quartz [J]. Journal Geophysical Research, 1976, 81(32): 5711-5714.
    Levien L, Prewitt C T, Weidner D J. Structure and Elastic Properties of Quartz at Pressure [J]. American Mineralogist, 1980, 65: 920-930.
    Jorgensen J D. Compression Mechanisms in -Quartz Structures-SiO2 And GeO2 [J]. J Appl Phy, 1978, 48(11): 5473-5478.
    d'Amour H, Denner W, Schulz. Structure Determination Of -Quartz up to 68108 Pa [J]. Acta Crystallogr, 1979, B35: 550-555.
    Pelous J, Vacher R. Thermal Brillouin Scattering in Crystalline and Fused Quartz from 20 to 1000℃ [J]. Solid State Communications, 1976, 18: 657-661.
    Ackermann R J, Sorrell C A. Thermal Expansion and the High-Low Transformation in Quartz. Ⅰ. High-Temperature X-Ray Studies [J]. J Appl Cryst, 1974, 7: 461-467.
    Ohno I. Temperature Variation of Elastic Properties of Quartz up to the - Transition [J]. Journal of Physics of the Earth, 1995, 43: 157-169.
    Carpenter M A, Salje E K H, Graeme-Barber A. Spontaneous Strain as a Determinant of Thermodynamic Properties for Phase Transitions in Minerals [J]. Eur J Mineral, 1998, 10: 621-691.
    ZHONG Wei-fang, PI Dao-hua. Advanced Elasticity [M]. Wuhan: Huazhong University of Technology Press, 1993: 119-122. (in Chinese)
    钟伟芳, 皮道华. 高等弹性力学 [M]. 武汉: 华中理工大学出版社, 1993: 119-122.
    PAN Zhao-lu. Crystallography And Mineralogy(Ⅰ) [M]. Beijing: Geological Press, 1984: 71-92. (in Chinese)
    潘兆橹. 结晶学及矿物学(上册) [M]. 北京: 地质出版社, 1984: 71-92.
    Coe R S, Paterson M S. The - Inversion in Quartz: A Coherent Phase Transition under Nonhydrostatic Stress [J]. J Geophys Res, 1969, 74: 4921-4948.
    Cohen L H. High-Low Quartz Inversion: Determination to 35 Kilobars [J]. J Geophys Res, 1967, 72(16): 4245-4251.
    Koster van Groos A F, Ter Heege J P. The High-Low Quartz Transition up to 10 Kilobars Pressure [J]. Journal of Geology, 1973, 81: 717-724.
    Mirwald P W, Massonne H J. The Low-High Quartz and Quartz-Coesite Transition to 40 kbar between 600℃ and 1600℃ and Some Reconnaissance Data on the Effect of NaAlO2 Component on the Low Quartz-Coesite Transition [J]. J Geophys Res, 1980, 85: 6983-6990.
    Shen A H, Bassett W A. The - Quartz Transition at High Temperatures and Pressures in a Diamond-Anvil Cell by Laser Interferometry [J]. American Mineralogist, 1993, 78: 694-698.
    YAN Zu-tong. An Approximate Relation between Cubical Thermal Expansion Coefficient of Solids and Pressure [J]. Chinese Journal of High Pressure Physics, 2000, 14(4): 251-256. (in Chinese)
    严祖同. 固体热膨胀系数与压强关系的一个近似公式 [J]. 高压物理学报, 2000, 14(4): 251-256.
    WANG Xin, CUI Qi-liang, PAN Yue-wu, et al. Pressure Effect on Lattice Distortions of La0. 3Bi0. 2Ca0. 5MnO3 [J]. Chinese Journal of High Pressure Physics, 2001, 15(1): 60-63. (in Chinese)
    王欣, 崔启良, 潘跃武, 等. 压力对La0. 3Bi0. 2Ca0. 5MnO3中晶格畸变的影响 [J]. 高压物理学报, 2001, 15(1): 60-63.
    CHEN Gang, LIAO Li-fan. Physical Foundation of Crystal [M]. Beijing: Scientific Press, 1992: 591-614. (in Chinese)
    陈纲, 廖理几. 晶体物理学基础 [M]. 北京: 科学出版社, 1992: 591-614.
    Bass J D. Elasticity of Minerals, Glasses, and Melts [A]. Ahrens T J. Mineral Physics and Crystallgraphy. A Handbook of Physical Constants [Z]. Washington D C: American Geophysical Union, 1995: 49.
    GAO Shan, ZHANG Ben-ren. Radioactivity of Rocks in the Qinling Orogenic Belt and Adjacent Areas and the Current Thermal Structure and State of the Lithosphere [J]. Geochimica, 1993, (3): 241-252. (in Chinese)
    高山, 张本仁. 秦岭造山带及其邻区岩石的放射性与岩石圈的现代热结构与热状态 [J]. 地球化学, 1993, (3): 241-251.
    CHEN Rong. Mechanical Properties of Crustal Rocks-Theoretical Foundation and Experimental Method [M]. Beijing: Seismic Press, 1988: 38-50. (in Chinese)
    陈顒. 地壳岩石的力学性能--理论基础与实验方法 [M]. 北京: 地震出版社, 1988: 38-50.
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