A compound is formed by elements A and B. This crystallises in the cubic structure where the A atoms are at the corners of the cube and B atoms are at the body centers. The simplest formula of the compound is

Question

A compound is formed by elements A and B. This crystallises in the cubic structure where the A atoms are at the corners of the cube and B atoms are at the body centers. The simplest formula of the compound is (A) AB (B) A6B (C) A8B4 (D) AB6

Tardigrade Admin · Accepted Answer

Since A atoms are present at the corners of the cube,

Number of

A

atoms per unit cell

= 8 \times \frac{1}{8} = 1

Number of

B

atoms per unit cell

= 1

∴

(present at the body centre of the cube)

Hence, the formula of the compound

= A B

Q. A compound is formed by elements $A$ and $B$ . This crystallises in the cubic structure where the $A$ atoms are at the corners of the cube and $B$ atoms are at the body centers. The simplest formula of the compound is

$A B$

$A_{6} B$

$A_{8} B_{4}$

$A B_{6}$

Since A atoms are present at the corners of the cube,

Number of $A$ atoms per unit cell $= 8 \times \frac{1}{8} = 1$

Number of $B$ atoms per unit cell $= 1$

$∴$ (present at the body centre of the cube)

Hence, the formula of the compound $= A B$

Q. A compound is formed by elements A and B. This crystallises in the cubic structure where the A atoms are at the corners of the cube and B atoms are at the body centers. The simplest formula of the compound is

AB

A6​B

A8​B4​

AB6​