Question:

A compound of $'A'$ and $'B'$ crystallises in a cubic lattice in which the $'A'$ atoms occupy the lattice points at the corners of the cube. The $'B'$ atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

Updated On: Apr 14, 2024
  • $AB$
  • $AB_3$
  • $AB_2$
  • $A_3B$
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

A occupies corners, thus number of $A$ atoms per unit cell $=8 \times \frac{1}{8}=1$ $B$ occupies face centres, thus number of $B$ atoms per unit cell $=6 \times \frac{1}{2}=3$ $\therefore$ The empirical formula of the compound is $A B_{3} .$
Was this answer helpful?
1
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.