In a compound, atoms of element Y form c c p lattice and those of element X occupy 2 / 3 text rd of tetrahedral voids. The formula of the compound will be

Question

In a compound, atoms of element Y form c c p lattice and those of element X occupy 2 / 3 text rd of tetrahedral voids. The formula of the compound will be (A) X3 Y4 (B) X4 Y3 (C) X2 Y3 (D) X2 Y

Tardigrade Admin · Accepted Answer

Number of Y atoms per unit cell in ccp lattice (N)=4 Number of tetrahedral voids =2 N=2 × 4=8 Number of tetrahedral voids occupied by X =2 / 3 text rd of the tetrahedral void =2 / 3 × 8=16 / 3 Hence, the formula of the compound will be, X16 / 3 Y4=X4 Y3

Q. In a compound, atoms of element $Y$ form $cc p$ lattice and those of element $X$ occupy $2/ 3^{rd}$ of tetrahedral voids. The formula of the compound will be

$X_{3} Y_{4}$

$X_{4} Y_{3}$

$X_{2} Y_{3}$

$X_{2} Y$

Number of $Y$ atoms per unit cell in ccp lattice $(N) = 4$

Number of tetrahedral voids $= 2 N = 2 \times 4 = 8$

Number of tetrahedral voids occupied by $X$ $= 2/ 3^{rd}$ of the tetrahedral void $= 2/3 \times 8 = 16/3$

Hence, the formula of the compound will be, $X_{16/3} Y_{4} = X_{4} Y_{3}$

Q. In a compound, atoms of element Y form ccp lattice and those of element X occupy 2/3rd of tetrahedral voids. The formula of the compound will be

X3​Y4​

X4​Y3​

X2​Y3​

X2​Y