What is the simplest formula of a solid whose unit cell has the atom A at each corner, the atom B at each face centre and a C atom at the body centre?
Text Solution
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AB 3 C
An atom at the corner of a cube is shared among 8 unit cells. As there are 8 corners in a cube, number of corner
atom per unit cell 8 x 
= 1
Face-centred atom in a cube is shared by two unit cells.
As there are 6 faces in a cube, number of face-centred
atom per unit cell 6 x 
= 3
An atom in the body of the cube is not shared by other cells.
Number of atoms at the body centre per unit cell = 1.
Hence, the formula of the solid is AB 3 C
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