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Question

The number of atoms per unit cell in a sc, bcc and fcc system are respectively :


A
1, 2 and 4
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B
8, 6 and 10
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C
1, 4 and 2
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D
2, 4 and 1
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Solution

The correct option is A 1, 2 and 4

The primitive cubic system consists of one lattice point on each corner of the cube. Each atom at a lattice point is then shared equally between eight adjacent cubes, and the unit cell, therefore, contains in total one atom.


The body-centred cubic system has one lattice point in the centre of the unit cell in addition to the eight corner points. It has a net total of 2 lattice points per unit cell.


The face-centred cubic system has lattice points on the faces of the cube, that each gives exactly one-half contribution. In addition to the corner lattice points, giving a total of 4 lattice points per unit cell.


For simple cubic, number of atoms per cell = 1


For bcc, number of atoms per cell = 2


For fcc, number of atoms per cell = 4


Chemistry

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