Question

Write the relastion between atomin radius and edge length of cubic cell unit for simple cubic unit cell

Answer 1

r=a2r=a2‾‾√r=3‾√4ar=3a2

r=3‾√4a

Answer 2

The Solid States , Class-12

Q) Write the relation between atomic radius(r) and edge length(a) of cubic unit cell for simple cubic unit cell, Face centered cubic unit cell, body centered cubic unit cell.

A: Simple/Primitive cubic unit cell

• Rank of unit cell = 1
• r = a÷2 , a = 2r

Face centered cubic unit cell

• Rank of unit cell = 4
• r = √2a÷4 , a = 4r÷√2

Body centered cubic unit cell

• Rank of unit cell = 2
• r = √3a÷4 , a = 4r÷√3