Three elements A, B and C crystallise into a cubic solid lattice. Atoms A occupy the corners, B atoms, the cube centres and C atoms, the face. The formula of the compound is [AMU 2009]

Atoms are present at the corners of the cube solid lattice. There are a total of 8 corners in the cube. Each atom contributes 1 8 to the cube. Number of A atoms = 1 8 1 8 x B atoms are present at the cubic center. There is only one cubic center, each atom contributes 1 to the cube. Number of B atoms =1 C atoms are present at the center of the face of the cube. There are 6 face centers. Each atom contributes 1 2 to the cube. Number of C atoms = 1 6 3 2 x Hence, the formula of the compound will be 3 ABC Hence the correct answer is option (c) SOLID STATE 27