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Solid solutions between lead fluorapatite and lead fluorvanadate apatite: compressibility determined by using a diamond-anvil cell coupled with synchrotron X-ray diffraction
Authors:Qiang?He  Email author" target="_blank">Xi?LiuEmail author  Xiaomin?Hu  Liwei?Deng  Zhiqiang?Chen  Baosheng?Li  Yingwei?Fei
Institution:(1) Key Laboratory of Orogenic Belts and Crustal Evolution, MOE, Peking University, Beijing, 100871, People’s Republic of China;(2) School of Earth and Space Sciences, Peking University, Beijing, 100871, People’s Republic of China;(3) Geophysical Laboratory, Carnegie Institution of Washington, 5251 Broad Branch Road, NW, Washington, DC 20015, USA;(4) National Synchrotron Light Source, Brookhaven National Laboratory, Upton, New York, 11973, USA;(5) Mineral Physics Institute, State University of New York, Stony Brook, New York, 11794, USA;
Abstract:The synthetic solid solutions between lead fluorapatite and lead fluorvanadate apatite, Pb10(PO4)6−x (VO4) x ]F2 with x equal to 0, 1, 2, 3, 4, 5, and 6, were compressed up to about 9 GPa at ambient temperature by using a diamond-anvil cell coupled with synchrotron X-ray radiation. A second-order Birch–Murnaghan equation of state was used to fit the data. As the substitution of the PO4 3− cations by the VO4 3− cations progresses, the isothermal bulk modulus steadily decreases, with a maximum reduction of about 16% (from 68.4(16) GPa for Pb10(PO4)6F2 to 57.2(28) GPa for Pb10(VO4)6F2). For the entire composition range, the a-axis dimension remains more compressible than the c-axis dimension, with the ratio of the axial bulk moduli (K Tc :K Ta ) larger than 1. The ratio of K Tc to K Ta increases from about 1.04(4) to 1.23(14) as the composition parameter x increases from 0 to 6, suggesting that the apatite solid solutions Pb10(PO4)6−x (VO4) x ]F2 become more elastically anisotropic.
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