Journal of the Japan Institute of Metals and Materials
Online ISSN : 1880-6880
Print ISSN : 0021-4876
ISSN-L : 0021-4876
The Solution (Etching) Anisotropy and Shape of Solution Body in Crystals, I. Hexagonal, Rhombohedral, and Tetragonal Crystals
Mikio Yamamoto
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1955 Volume 19 Issue 10 Pages 591-595

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Abstract
It is shown that, for hexagonal, rhombohedral, and tetragonal crystals, the anisotropy of the solution rate along any direction v, and that of the radius vector along the same direction r from the origin to the circumference of a solution body (Lösungskörper in German) produced from an originally sphere crystral, are generally expressed by
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\ oindentwhere vc, va and vb are the solution rates and rc, ra, and rb are the radius vectors along the directions of the c, a, and b axes (the [0001], [11\bar20], and [10\bar10] directions for hexagonal crystal, the [111], [\bar101], and [\bar211] directions for rhombohedral crystal, and the [001], [100], and [110] directions for tetragonal crystal), respectively. θ and \varphi are, respectively, the polar and azimuthal angles of the direction referred to a polar coordinate system of which the polar axis is the c axis and the zero line for the azimuthal angle is the a axis, and n is the order of rotational symmetry around the c axis of the crystal concerned.
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