Question:

In a solid, atom $M$ occupies $ccp$ lattice and $1/3^{rd}$ of tetrahedral voids are occupied by atom $N$. Find the formula of solid formed by $M$ and $N$.

Updated On: Jul 28, 2022
  • $M_3N_2$
  • $M_2N_3$
  • $M_4N_3$
  • $M_3N_4$
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The Correct Option is A

Solution and Explanation

Suppose number of $M$ atoms $= n$ Then number of tetrahedral sites $= 2 n$ Number of $N$ atoms $=\frac{1}{3}(2 n )$ Ratio $M : N = n : \frac{2}{3} n =3: 2$, i.e., formula is $M _{3} N _{2}$
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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. 

Solid State

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.