Body centred cubic and face centred cubic unit cells have n1 and n2 effective number of atoms. Which one the following (.n1,n2.) combination is correct?

Question

Body centred cubic and face centred cubic unit cells have n1 and n2 effective number of atoms. Which one the following (.n1,n2.) combination is correct? (A) (4, 1) (B) (4, 2) (C) (1, 4) (D) (2, 4)

Tardigrade Admin · Accepted Answer

Number of atoms in BCC unti cell =1+8× (1/8)=1+1=2 FCC unit cell =8× (1/8)+6× (1/2)=1+3=4

Q. Body centred cubic and face centred cubic unit cells have $n_{1}$ and $n_{2}$ effective number of atoms. Which one the following $(n_{1}, n_{2})$ combination is correct?

(4, 1)

(4, 2)

(1, 4)

(2, 4)

Number of atoms in

BCC unti cell $= 1 + 8 \times \frac{1}{8} = 1 + 1 = 2$

FCC unit cell $= 8 \times \frac{1}{8} + 6 \times \frac{1}{2} = 1 + 3 = 4$

Q. Body centred cubic and face centred cubic unit cells have n1​ and n2​ effective number of atoms. Which one the following (n1​,n2​) combination is correct?