In: Other
Equivalent planes and directions
The specific symmetry of a crystal system defines (hkl) planes and [uvw] directions which are identical to each other.
As an example, specific relations for a cubic system are
given:
<100> = [100], [010], [001], [-100], [0-10], [00-1]
{110} = (110), (-1-10), (1-10), (-110), (101), (-10-1), (-101),
(10-1), (011), (0-1-1), (0-11), (01-1)
Family planes:
Here I attach about family of planes
Here I also attach how to calculate Miller indices