In a face-centered cubic lattice, a unit cell is shared equally by how many unit cells?
- 2
- 4
- 6
- 8
Answer
(3) 6
Solution
A cubic unit cell has 6 faces, and each face is common to the unit cell and one neighbouring unit cell.
As per NCERT, in an fcc unit cell each atom at a face centre is shared between two adjacent unit cells, so only 12 of each such atom belongs to one unit cell.
⇒ Through its 6 face-centre atoms, a unit cell is shared equally with 6 neighbouring unit cells.
Answer: (3)