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what is the formula to find nearest neighbour in solid states?

suggest any direct shortcuts if possible.

Asked by imtiyazmulla68 12th April 2018, 11:18 PM
Answered by Expert
Answer:
For a simple cubic lattice the nearest neighbour distance is the lattice parameter a.
Therefore for a simple cubic lattice there are six nearest neighbours for any given lattice point.
 
For body centered cubic lattice nearest neighbour distance is half of the body diagonal distance, a√3/2. Threfore there are eight nearest neighnbours for any given lattice point.
 
For face centred cubic lattice nearest neighbour distance is half of the face diagonal distance, a√2/2. Threfore there are three groups of four lattice points lying in three perpendicular face planes. Therefore there are twelve nearest neighnbours for any given lattice point.
Answered by Expert 15th April 2018, 3:08 PM
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