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Elasticity of (Mg, Fe)(Si, Al)O-3-perovskite at high pressure

机译:高压下(Mg,Fe)(Si,Al)O-3-钙钛矿的弹性

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摘要

The most abundant mineral on Earth has a perovskite crystal structure and a chemistry that is dominated by MgSiO3 with the next most abundant cations probably being aluminum and ferric iron. The dearth of experimental elasticity data for this chemically complex mineral limits our ability to calculate model seismic velocities for the lower mantle. We have calculated the single crystal elastic moduli (c(ij)) for (Mg, Fe3+)(Si, Al)O-3 perovskite using density functional theory in order to investigate the effect of chemical variations and spin state transitions of the Fe3+ ions. Considering the favored coupled substitution of Mg2+-Si4+ by Fe3+-Al3+, we find that the effect of ferric iron on seismic properties is comparable with the same amount of ferrous iron. Ferric iron lowers the elastic moduli relative to the Al charge-coupled substitution. Substitution of Fe3+ for Al3+, giving rise to an Fe/Mg ratio of 6%, causes 1.8% lower longitudinal velocity and 2.5% lower shear velocity at ambient pressure and 1.1% lower longitudinal velocity and 1.8% lower shear velocity at 142 GPa. The spin state of the iron for this composition has a relatively small effect (<0.5% variation) on both bulk modulus and shear modulus. (C) 2005 Elsevier B.V. All rights reserved.
机译:地球上最丰富的矿物具有钙钛矿晶体结构和化学性质,以MgSiO3为主,其次最丰富的阳离子可能是铝和三价铁。对于这种化学复杂的矿物,缺乏实验弹性数据限制了我们计算下地幔模型地震速度的能力。我们使用密度泛函理论计算了(Mg,Fe3 +)(Si,Al)O-3钙钛矿的单晶弹性模量(c(ij)),以便研究Fe3 +离子的化学变化和自旋态跃迁的影响。考虑到Fe3 + -Al3 +有利于Mg2 + -Si4 +的偶合取代,我们发现三价铁对地震特性的影响与相同量的二价铁相当。三价铁相对于铝电荷耦合替代物降低了弹性模量。用Fe3 +替代Al3 +,会导致6%的Fe / Mg比,导致在环境压力下纵向速度降低1.8%,剪切速度降​​低2.5%,在142 GPa时纵向速度降低1.1%,剪切速度降​​低1.8%。该组合物的铁的自旋态对体积模量和剪切模量均具有相对较小的影响(变化<0.5%)。 (C)2005 Elsevier B.V.保留所有权利。

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