Table 1. Examples of groups of symmetry-equivalent reflections (h, k, ℓ)T that can be transformed into each other via rotations about a symmetry axis.
C denotes cubic crystal symmetry, T tetragonal, O orthorhombic, H hexagonal and R rhombohedral.
| Crystal symmetry | Symmetry axis (hsym, ksym, ℓsym) | Reflections (hn, kn, ℓn) |
|---|---|---|
| C, T | (2, 2, 0) | (2, 0, ±2), (0, 2, ±2) |
| (3, 1, ±1), (1, 3, ±1) | ||
| C, R | (1, 1, 1) | (1, 1, −1), (1, −1, 1), (−1, 1, 1) |
| (4, 0, 0), (0, 4, 0), (0, 0, 4) | ||
| (3, 1, 1), (1, 3, 1), (1, 1, 3) | ||
| C, T, O | (0, 0, 4) | (±1, ±1, 1) |
| C, T | (0, 0, 4) | (±3, ±1, 1), (±1, ±3, 1) |
| H | (0, 0, 2) | (±1, 0, 1), (0, ±1, 1), (±1, ∓1, 1) |
| (±1, ±1, 2), ( 2, ±1, 2), (±1, ∓2, 2) |