Question:

A compound is formed by elements $A$ and $B$. This crystallises in the cubic structure where the $A$ atoms are at the corners of the cube and $B$ atoms are at the body centers. The simplest formula of the compound is

Updated On: May 15, 2024
  • $AB$
  • $A_6B$
  • $A_8B_4$
  • $AB_6$
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The Correct Option is A

Solution and Explanation

Since A atoms are present at the corners of the cube, Number of $A$ atoms per unit cell $=8 \times \frac{1}{8}=1$ Number of $B$ atoms per unit cell $=1$ $\therefore$ (present at the body centre of the cube) Hence, the formula of the compound $= AB$
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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.