Question

For the given plane of a cubic crystal structure, find the followings

 1. Miller indices

 2. Type of a cubic crystal structure

 3. Relation of lattice parameter "a" and the radius "r"

 4. If the radius of the atom is "6 nm", find the planar density in atoms/nm

 5. In your opinion, is it the densest plane of this cubic crystal structure? In case otherwise draw the densest plane of this cubic crystal structure and compare its planar density in atoms/nm2.

Answer 1

Part-1 Miller indices

Axis	X	Y	Z
Intercepts points	1	1	Infinity
Reciprocals	1/1	1/1	1/ infinity
Smallest ratio	1	1	0
Miller indices	1	1	0

Miller indices - (110)

Part - 2

clearly from the picture we can identify that the crystal structure is Body centred crystal structure (BCC).

Part - 3

Relationships between lattice parameter 'a' and the radius 'r' for BCC structure is 4r = square root of 3 multiply by a

Part - 4