SATHEE: The Solid State - Result Question 28

The Solid State - Result Question 28

####28. A compound is formed by elements $A$ and $B$ . The crystalline cubic structure has the $A$ atoms at the corners of the cube and $B$ atoms at the body centre. The simplest formula of the compound is

(a) $A B$

(b) $A_{6} B$

(d) $A_{8} B_{4}$

[2000]

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Solution:

(a) Given: Atoms are present at the corners of the cube $= A$ and atoms present at body centre $= B$ . We know that a cubic unit cell has 8 corners. Therefore contribution of each atom at the corner $= \frac{1}{8}$ . Since number of atoms per unit cell is 8 , therefore total contribution $= 8 \times \frac{1}{8} = 1$ . We also know the one atom is in the body centre, therefore number of atoms per unit cell $= 1$ . Thus formula of the compound is $A B$ .

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The Solid State - Result Question 28

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