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arXiv 0912.3587cond-mat.mtrl-sci
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地核条件下hcp-Fe的弹性各向同性

Elastic isotropy of hcp-Fe under Earth core conditions

Xianwei Sha, R. E. Cohen

摘要:

我们的第一性原理计算表明,在地球内核的高温条件下,hcp-Fe的纵波和横波都变为弹性各向同性,沿与c轴不同角度的声速变化在1%以内.在广义梯度近似下,采用准谐线性响应线性Muffin-tin轨道方法计算了高温高压下的热弹性问题。计算的hcp-Fe在室温下的各向异性形状和大小与以前的第一性原理预测一致,各向异性效应表现出很强的温度依赖性。这意味着,其他机制,而不是沿地球自转轴的hcp-Fe晶体的优先排列,占地震P波走时异常。要么内核不是hcp铁,和/或地震学上观察到的各向异性是由不均匀性引起的,即多相。

英文摘要:

Our first-principles calculations show that both the compressional and shear waves of hcp-Fe become elastically isotropic under the high temperatures of Earth inner core conditions, with the variation in sound velocities along different angles from the c axis within 1%. We computed the thermoelasticity at high pressures and temperatures from quasiharmonic linear response linear-muffin-tin-orbital calculations in the generalized-gradient approximation. The calculated anisotropic shape and magnitude in hcp-Fe at ambient temperature agree well with previous first-principles predictions, and the anisotropic effects show strong temperature dependences. This implies that other mechanisms, rather than the preferential alignment of the hcp-Fe crystal along the Earth rotation axis, account for the seismic P-wave travel time anomalies. Either the inner core is not hcp iron, and/or the seismologically observed anisotropy is caused by inhomogeneity, i.e. multiple phases.

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