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A compound formed by elements A and B c...

A compound formed by elements A and B crystallises in the cubic structure: Where' A atoms are at the Corners of the cube and B atoms are at the face centres. What is the formula of the compound?

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An atom at the C0rner of a cube is shared by 8 cubes and hence C0ntributes only .1/8. to a particular cube. There are eight C0rners of a cube..therefore. Number of atoms of A in the unit cell .=8 xx 11/8=1.. An atom at the centre of cube belongs only to one uñit cell..therefore. Number of atoms of .B. in the unit cell =1 xx 1=1 .. Therefore, formula of the compound is .A B..
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