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Chemistry
The contribution of particle at the edge centre to a particular unit cell is.
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Q. The contribution of particle at the edge centre to a particular unit cell is.
KCET
KCET 2016
The Solid State
A
$\frac{1}{2}$
9%
B
$\frac{1}{4}$
64%
C
1
10%
D
$\frac{1}{8}$
17%
Solution:
An atom at the edge centre is shared by four unit cells in the lattice and hence, contributes only $\frac{1}{4}$ th to a particular unit cell
Also, there are 12 edge centres in a unit cell. Thus, total number of atoms at the edge centres per unit cell.
$-12 \times \frac{1}{4}-3$