The Solid State - Result Question 33
####33. The number of atoms contained in an $f c c$ unit cell of a monoatomic substance is
(a) 1
(b) 2
(c) 4
(d) 6
[1993]
Topic 4: Imperfection in Solids
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Solution:
- (c) The no. of atoms is a unit cell may be calculated by the the formula
$ Z=\frac{n_c}{8}+\frac{n_b}{1}+\frac{n_f}{2}+\frac{n_e}{4} $
where $n_c=$ no. of atom at the corner $n_b=$ no. of atoms at body centre $n_f=$ no. of atoms at face centre, $n_e=$ no. of atoms at edge centre.
An $f c c$ crystal contains
$ =\frac{8}{8}+\frac{6}{2}=4 \text{ atoms in a unit cell. } $
