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If AxBy crystallizes in an fcc lattice, with atom A occupying every corner and atom B occupying the center of each face of the unit cell, the correct
Question

If AxBy crystallizes in an fcc lattice, with atom A occupying every corner and atom B occupying the center of each face of the unit cell, the correct stoichiometry is

A.

B.

C.

D.

Correct option is A

A face-centred unit cell (F) has lattice points at its corners and also at the centres of its six faces.

The face-centered cubic lattice (cF) 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 four lattice points per unit cell (1⁄8 × 8 from the corners plus 1⁄2 × 6 from the faces).

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