A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom ?
80 pm
108 pm
40 pm
127 pm
As we learnt in
No. of atoms(z) for face centered unit cell -
Lattice points: at corners and face centers of unit cell.
For face centered cubic (FCC), z=4.
- wherein
Given that there are 4 metal atoms in a unit cell, so it's an FCC lattice.
Answer is 4
Option 1)
80 pm
This solution is incorrect
Option 2)
108 pm
This solution is incorrect
Option 3)
40 pm
This solution is incorrect
Option 4)
127 pm
This solution is correct