4.3 Indices of the set of lattice planes parallel to two direct lattice rows

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4.3 Indices of the set of lattice planes parallel to two direct lattice rows

The vector product of two vectors n₁ and n₂ respectively parallel to these two rows is normal to the set of lattice planes and is therefore parallel to the reciprocal lattice vector associated with the lattice planes. If h, k, l are its indices, we may therefore write:

$\begin{displaymath} \frac{h}{v_1w_2-v_2w_1} = \frac{k}{w_1u_2-w_2u_1}=\frac{l}{u_1v_2-u_2v_1}\end{displaymath}$ (4.2)

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