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4.4 Zone axis of two sets of direct lattice planes

Let h1, k1, l1 and h2, k2, l2 be the Miller indices of the two sets of direct lattice planes. The vector product of the two reciprocal lattice vectors associated with them is necessarily parallel to their zone axis. The coordinates of this zone axis are therefore given by:

\frac{u}{k_1l_2-k_2l_1} = \frac{v}{l_1h_2-l_2h_1} = \frac{w}{h_1l_2-h_2l_1}\end{displaymath} (4.3)

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