Question:

A cube of any crystal A-atom placed at every corners and B-atom placed at every centre of face. The formula of compound:

Updated On: Apr 25, 2024
  • \(AB\)

  • \(AB_3\)

  • \(A_2B_2\)

  • \(A_2B_3\)

Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

\(A\) atoms are at 8 corners of the cube.
Thus, no. of \(A\) atoms per unit cell = \(8 \times \frac 18\) = 1

\(B\) atoms are at the face centre of six faces. 
Thus, no. of \(B\) atoms per unit cell = \(6 \times \frac 12\) = 3

 the formula of the compound is AB3

So, the correct option is (B): \(AB_3\)

Was this answer helpful?
0
0

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.