Zone axis

Axe de zone (Fr). Zonenachse (Ge). Eje de zona (Sp). Ось зоны (Ru).

A zone axis is a lattice row parallel to the intersection of two (or more) families of lattices planes. It is denoted by [u v w]. A zone axis [u v w] is parallel to a family of lattice planes of Miller indices (hkl) if:

uh + vk + wl = 0

The indices of the zone axis defined by two lattice planes ($h_1, k_1, l_1$), ($h_2, k_2, l_2$) are given by:

Three lattice planes have a common zone axis (are in zone) if their Miller indices ($h_1, k_1, l_1$), ($h_2, k_2, l_2$), ($h_3, k_3, l_3$) satisfy the relation: