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Question
How many atoms of an element are there in one unit cell of body-centred cubic?
Numerical
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Solution
The cubic unit cell in body-centred cubic systems consists of eight atoms at each corner and one in the centre. The corner atoms contribute 1/8 and the body centre atoms contribute 1 to the unit cell, and each corner atom is shared equally by eight unit cells.
∴ Number of atoms in a body-centred unit cell
= `(8 xx 1/8) + 1`
= 1 + 1
= 2 atoms
Thus, the unit cell of a body-centred cubic system contains 2 atoms.
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