Question:

A compound formed by elements $X$ and $Y$ crystallizes in a cubic structure in which the $X$ atoms are at the corners of a cube and the $Y$ atoms are at the face-centers. The formula of the compound is :-

Updated On: Apr 28, 2024
  • $XY$
  • $XY_2$
  • $X_2Y_3$
  • $XY_3$
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The Correct Option is D

Solution and Explanation

No. of $X$ atoms (at the corners) $=\frac{1}{8}\times8=1$

No. of $Y$ atoms $\left(fcc\right)=6\times\frac{1}{2}=3$

Hence, the formula is $XY_3$.
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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.