A binary compound (A^{+} B^{-}) has a zinc bl | vedclass

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

Question

(C) In a zinc blende structure,the anions $(B^{-})$ form a face-centered cubic $(FCC)$ lattice.Let the number of $B^{-}$ ions per unit cell be $N = 4$

Vedclass · Accepted Answer

$AB_2$

Vedclass · Answer

(C) In a zinc blende structure,the anions $(B^{-})$ form a face-centered cubic $(FCC)$ lattice.Let the number of $B^{-}$ ions per unit cell be $N = 4$.The number of tetrahedral voids in an $FCC$ lattice is $2N = 2 	imes 4 = 8$.The $A^{+}$ ions occupy $25\%$ of these tetrahedral voids.Number of $A^{+}$ ions $= 25\% 	ext{ of } 8 = 0.25 	imes 8 = 2$.The ratio of $A^{+} : B^{-}$ is $2 : 4$,which simplifies to $1 : 2$.Therefore,the formula of the compound is $AB_2$.

$A$ binary compound $(A^{+} B^{-})$ has a zinc blende structure where $B^{-}$ ions form the lattice and $A^{+}$ ions occupy $25\%$ of the tetrahedral voids. What is the formula of the compound?

Similar Questions

The solid $AB$ has a $NaCl$ type structure. If the radius of the $A^{+}$ ion is $120 \, pm$, then the maximum radius of the $B^{-}$ ion will be ........... $pm$.

What is the coordination number of a cation in an ionic compound if the type of hole occupied by the cation is octahedral?

The structure of $Na_2O$ crystal is

What is the mass of a $bcc$ type unit cell of sodium if the mass of one atom of sodium is $3.819 \times 10^{-23} \ g$?

The compound $AB$ crystallizes in a cubic lattice in which both $A$ and $B$ atoms have coordination numbers of $8$. To what crystal class does the unit cell belong?

Vedclass Test Series

Exam Paper Generator

Online Exam Module