Miller index

Miller indices form a notation system in crystallography for lattice planes in crystal (Bravais) lattices. In particular, a family of lattice planes of a given (direct) Bravais lattice is determined by three integers h, k, and ℓ, the Miller indices. They are written (hkℓ), and denote the family of (parallel) lattice planes (of the given Bravais lattice) orthogonal to \mathbf{g}_{hk\ell} = h\mathbf{b}_1 + k\mathbf{b}_2 + \ell\mathbf{b}_3 , where \mathbf{b}_i are the basis or primitive translation vectors of the reciprocal lattice for the given Bravais lattice. (Note that the plane is not always orthogonal to the linear combination of direct or original lattice vectors h\mathbf{a}_1 + k\mathbf{a}_2 + \ell\mathbf{a}_3 because the direct lattice vectors need not be mutually orthogonal.) This is based on the fact that a reciprocal lattice vector \mathbf{g} (the vector indicating a reciprocal lattice point from the reciprocal latti

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Growth directions in directionally solidified Al-Zn and Zn-Al alloys near eutectic composition

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Growth directions and crystallographic orientations of solidification microstructures have been measured in Al-Zn alloy near the eutectic composition. Al dendrites in Al-92 wt.% Zn alloy were found to grow along the I 10) directions while Zn dendrites in Al-96 and 98 wt.% Zn have < 10 (1) over bar0 > trunks. In the lamellar eutectic, a crystallographic relationship has been found between the dense plane of each phase, i.e. {111}(fcc) parallel to {0001}(hcp), and the dense directions, i.e. < 110 >(fcc) parallel to < 1210 >(hcp). (C) 2008 Acta Materialia Inc. Published by Mevier Ltd. All rights reserved.

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