The fraction of voids occupied in the inverse | vedclass

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

Question

(A) The general formula for inverse spinel is $B(AB)O_4$,where $O^{2-}$ ions form a $ccp$ lattice.In inverse spinels,the divalent $A^{2+}$ ions occupy

Vedclass · Accepted Answer

$1/8^{th}$ of tetrahedral voids and $1/2$ of octahedral voids.

Vedclass · Answer

(A) The general formula for inverse spinel is $B(AB)O_4$,where $O^{2-}$ ions form a $ccp$ lattice.In inverse spinels,the divalent $A^{2+}$ ions occupy octahedral voids.The trivalent $B^{3+}$ ions are distributed such that half of them occupy tetrahedral voids and the other half occupy octahedral voids.Since there are $2$ tetrahedral voids and $1$ octahedral void per $O^{2-}$ ion in a $ccp$ lattice,for $4$ $O^{2-}$ ions,there are $8$ tetrahedral voids and $4$ octahedral voids.Thus,$B^{3+}$ ions occupy $1/8$ of the $8$ tetrahedral voids (i.e.,$1$ ion) and $1/4$ of the $4$ octahedral voids (i.e.,$1$ ion),while $A^{2+}$ occupies the remaining $1/4$ of octahedral voids (i.e.,$1$ ion).

The fraction of voids occupied in the inverse spinel compounds are

Similar Questions

Calculate the packing efficiency in a simple cubic unit cell.

$A$ compound is formed by two elements $A$ and $B$. Atoms of the element $B$ (as anion) make $ccp$ lattice and those of element $A$ (as cation) occupy all tetrahedral voids. The formula of the compound is

What is the full form of $fcc$?

Calculate the void volume of a simple cubic unit cell if the volume of the unit cell is $5.5 \times 10^{-22} \ cm^3$.

Calculate the packing efficiency in a metal crystal for a face-centred cubic $(FCC)$ unit cell (assuming that atoms are touching each other).

Vedclass Test Series

Exam Paper Generator

Online Exam Module