The molecular formula of a compound is AB_2O_ | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) In a $ccp$ lattice, if the number of atoms is $N$, then the number of octahedral voids is $N$ and the number of tetrahedral voids is $2N$. Given t

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(D) In a $ccp$ lattice, if the number of atoms is $N$, then the number of octahedral voids is $N$ and the number of tetrahedral voids is $2N$. Given the formula $AB_2O_4$, let the number of $O$ atoms be $4$. Since $O$ forms a $ccp$ lattice, $N = 4$. Number of tetrahedral voids $= 2 	imes 4 = 8$. Number of octahedral voids $= 4$. Atoms of $A$ occupy $\frac{1}{8}$ of tetrahedral voids, so number of $A$ atoms $= \frac{1}{8} 	imes 8 = 1$. Atoms of $B$ occupy octahedral voids. From the formula $AB_2O_4$, there are $2$ atoms of $B$. Fraction of occupied octahedral voids $= \frac{	ext{Number of } B 	ext{ atoms}}{	ext{Total octahedral voids}} = \frac{2}{4} = \frac{1}{2}$. Fraction of vacant octahedral voids $= 1 - \frac{1}{2} = \frac{1}{2}$.

The molecular formula of a compound is $AB_2O_4$. Atoms of $O$ form a $ccp$ lattice. Atoms of $A$ (cation) occupy $\frac{1}{8}$ of the tetrahedral voids. Atoms of $B$ (cation) occupy a fraction of the octahedral voids. What is the fraction of vacant octahedral voids?

Similar Questions

Write a short note on: Formula of a compound and number of voids filled.

Explain the formation of voids during the transition from a two-dimensional hexagonal close-packed layer to a three-dimensional close-packed structure.

What is the type of hole occupied if the limiting value of $\frac{r+}{r-}$ is in the range of $0.225$ to $0.414$?

$A$ compound is formed by two elements $X$ and $Y$. Atoms of the element $Y$ (anions) form an $hcp$ structure and atoms of the element $X$ (cations) occupy all the tetrahedral voids. Determine the formula of the compound.

The contribution of a particle at the edge center to a particular unit cell is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module