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首页> 外文期刊>Journal of Geophysical Research. Biogeosciences >Equations of state for Fe_3~(2+)Fe_2~(3+)Si_3O_(12) 'skiagite' garnet and Fe_2SiO_4 - Fe_3O_4 spinel solid solutions
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Equations of state for Fe_3~(2+)Fe_2~(3+)Si_3O_(12) 'skiagite' garnet and Fe_2SiO_4 - Fe_3O_4 spinel solid solutions

机译：Fe_3〜（2+）Fe_2〜（3+）Si_3O_（12）“菱镁矿”石榴石和Fe_2SiO_4-Fe_3O_4尖晶石固溶体的状态方程

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摘要

The equations of state of Fe_3~(2+)Fe_2~(3+)Si_3O_(12), or "skiagite" garnet, and two Fe_2SiO_4 - Fe_3O_4 spinel solid solutions were determined from room temperature hydrostatic compression experiments up to 11 GPa performed at the European Synchrotron Radiation Facility. These data indicate that there are no first-order phase transitions or changes in compression mechanism in skiagite garnet or Fe~(3+)-bearing silicate spinel solid solutions up to 11 GPa at room temperature. Skiagite garnet has an isothermal bulk modules K_(0T) = 157.4(3.0) GPa and a pressure derivative of the isothermal bulk modulus K_(0T)' = 6.7(8), where numbers in parentheses represent 1 estimated standard deviation of these values. Combination of this result with those for other silicate garnets reveals an inverse linear relationship between the octahedral cation-oxygen (Y-O) bond length and the bulk modulus. The dominating effect of the octahedral site on the bulk compression of garnet can be understood by considering that the octahedral-tetrahedral network has no rigid unit modes and that no cation substitution occurs on the tetrahedral sites in these garnets. It is apparent that the incorporation of Fe~(3+) and Cr acts to lower the bulk modulus of aluminosilicate garnets. Consideration of the effect of compression on the molar volume results in nonsystematic changes in calculated oxygen fugacity for garnet-bearing mantle peridotites that equilibrated at high pressures. The pressure-volume data obtained from two Fe~(3+)-bearing silicate spinel solid solutions with compositions X_(fay) = 0.45 and X_(fay) = 0.57 (fay, fayalite component) yielded similar enough values of K_(0T) and K_(0T)' to warrant a combined refinement with the data points scaled to the appropriate zero-pressure volumes. This gave K_(0T) = 168.9(1.2) GPa and K_(0T)' = 5.7(1.2) with #CHI#_W~2 = 4.6 (weighted #CHI#~2) and K_(0T) = 175.5(1.4) GPa when K_(0T)' is fixed equal to 4 (#CHI#_w~2 = 4.9). Our solid solutions have significantly lower bulk moduli than either magnetite or Fe_2SiO_4 spinel end-members or indeed many other spinels.
机译：从室温静水压实验中，以最高11 GPa的温度进行静压实验，确定了Fe_3〜（2+）Fe_2〜（3+）Si_3O_（12）或“菱镁矿”石榴石和两种Fe_2SiO_4-Fe_3O_4尖晶石固溶体的状态方程。欧洲同步辐射装置。这些数据表明在室温下高达11 GPa的辉石石榴石或含Fe〜（3+）的硅酸盐尖晶石固溶体中没有一阶相变或压缩机制的变化。斜长石石榴石具有等温体积模量K_（0T）= 157.4（3.0）GPa和等温体积模量K_（0T）'= 6.7（8）的压力导数，其中括号中的数字表示这些值的1个估计标准偏差。该结果与其他硅酸盐石榴石的结果相结合，揭示了八面体阳离子-氧（Y-O）键长与堆积模量之间呈反线性关系。可以通过考虑八面体-四面体网络没有刚性单元模式并且在这些石榴石中的四面体位点上不发生阳离子取代来理解八面体位点对石榴石整体压缩的主导作用。显然，Fe〜（3+）和Cr的掺入降低了铝硅酸盐石榴石的体积模量。考虑到压缩对摩尔体积的影响会导致在高压下平衡的带石榴石的地幔橄榄岩的计算氧逸度的非系统性变化。从组成为X_（fay）= 0.45和X_（fay）= 0.57（fay，铁橄榄石组分）的两种含Fe〜（3+）的硅酸盐尖晶石固溶体获得的压力-体积数据得出的K_（0T）值足够相似和K_（0T）'保证组合精炼，数据点缩放到适当的零压力体积。这给出了K_（0T）= 168.9（1.2）GPa和K_（0T）'= 5.7（1.2），其中＃CHI＃_W〜2 = 4.6（加权＃CHI＃〜2）和K_（0T）= 175.5（1.4）当K_（0T）'固定为4（＃CHI＃_w〜2 = 4.9）时的GPa。我们的固溶体的体积模量比磁铁矿或Fe_2SiO_4尖晶石末端构件或许多其他尖晶石显着更低。

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