How many lattice points are there in one unit cell of face centered cubic lattice

Explanation

In face centered cubic unit cell .
= 8 corner atoms `xx (1)/(8)` atom per unit cell = `8 xx (1)/(8) = 1` atom
Number of face centered atoms per unit cell
= 6 face centered atoms `xx (1)/(2)` atom per unit cell
`= 6 xx (1)/(2) = 3 ` atoms
`therefore` Total no. of lattice points = `1 + 3 = 4`.