The number of carbon atoms per unit cell of diamond is

Question

The number of carbon atoms per unit cell of diamond is, 8, 6, 1, 4

MARKS App · Accepted Answer

Diamond has FCC unit cell and C-atoms also occupy half of tetrahedral voids so total number of C-atoms can be find out as follows
Number of atoms

= \frac{1}{8} \times a t o m s a t c o r n e r + \frac{1}{2} \times a t o m s a t f a c e s + \frac{1}{2} o f a t o m s a t T V

Number of atoms

= \frac{1}{8} \times 8 + \frac{1}{2} \times 6 + 4 = 1 + 3 + 4 = 8