Elastic and attenuation anisotropy in directionally solidified (hcp) zinc, and the seismic anisotropy in the Earth's inner core

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Scientific paper

The inner core of the Earth has been interpreted as being elastically anisotropic, with the direction parallel to the rotation axis fast. There are also observations that north-south rays exhibit greater amplitude reduction and more complex waveforms. In previous work, we found that directionally solidified, polycrystalline, tin (Sn)-rich alloys exhibit a solidification texturing that is measurable ultrasonically, and suggested that such texturing might be a cause for the observed seismic elastic anisotropy. Here, we find that zinc (Zn)-rich alloys also exhibit a measurable elastic anisotropy that is due to a preferred growth direction. We confirm the grain orientation by back-reflection X-ray diffraction. Zn solidifies as a hexagonal closest-packed (hcp) metal, albeit one with a c/a ratio greater than the ideal, unlike hcp iron (Fe), and is 60% elastically anisotropic. We also find that the columnar dendritic grains that grow with a preferred orientation during directional solidification result in anisotropic scattering off grain boundaries, yielding an anisotropic apparent attenuation. In addition, we present results for directionally solidified 100% Zn, which exhibits qualitative differences in both the elastic and attenuation anisotropy from Zn alloys. The laboratory results can be interpreted as a cause for both the seismic elastic and attenuation anisotropy if the cooling near the inner core has more nearly cylindrical than spherical symmetry.

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