what is the difference between the equivilant planes & family planes ( crystallography )?

Expert Solution

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

Amanda K answered 8 months ago

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