Find bravais lattice of orthorhombic crystals


The unit cells of several orthorhombic crystals are described below. What is the Bravais lattice of each and how do you know? Do not change axes. (In solving this kind of problem, examining the given atom positions for the existence or nonexistence of centering translations is generally more helpful than making a drawing of the structure.)

a) Two atoms of the same kind per unit cell located at 0 1/2 0, 1/2 0 1/2.

b) Four atoms of the same kind per unit cell located at . 0 0 z, 0 1/2 z, 0 1/2 (1/2 + z), 0 0 (1/2+ z).

c) Four atoms of the same kind per unit cell located at xyz, -x -y z, (1/2+x)(1/2-y)z, (1/2-x)(1/2+y)z.

d) Two atoms of one kind A located at 1/2 0 0, 0 1/2 1/2;and two atoms of another kind B located at 0 0 1/2,1/2 1/2 0.

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Mechanical Engineering: Find bravais lattice of orthorhombic crystals
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