A crystal is made up of metal ions 'M $_{1}$ ' and 'M $_{2}$ ' and oxide ions. Oxide ions. form a ccp lattice structure. The cation '$M_1$ occupies $50 \%$ of octahedral voids and the cation 'M $_{2}$ ' occupies $12.5 \%$ of tetrahedral voids of oxide lattice. The oxidation numbers of ' $M _{1}$ ' and ' $M _{2}$ ' are, respectively:
- $+2, +4$
- $+3, +1$
- $+1, +3$
- $+4, +2$
The Correct Option is A
Solution and Explanation
\(O ^{-2}\) ions form \(ccp\)
\(M _{1}=50 \%\) of \(O . V .\)
\(\Rightarrow \frac{50}{100} \times 4=2:\left( M _{1}\right)_{2}\)
\(M _{2}=12.5 \%\) of \(T.V .\)
\(\Rightarrow \frac{12.5}{100} \times 8=1:\left( M _{2}\right)\)
So formula is : \((M_{1})_{2} (M_{2})_{1} O_{4}\)
So , the correct answer is (A) : +2,+4
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Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.