Question:
In fcc arrangement of A and B atoms, where A atoms are at the corners of the unit cell, B atoms at the face centres. Two atoms are missing from two corners in each unit cell, then the simplest formula of the compound is
In fcc arrangement of A and B atoms, where A atoms are at the corners of the unit cell, B atoms at the face centres. Two atoms are missing from two corners in each unit cell, then the simplest formula of the compound is
Updated On: Jul 6, 2022
- $A_7B_6$
- $A_6B_7$
- $A_7B_{24}$
- $AB_4$
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The Correct Option is D
Solution and Explanation
A-atoms are present at 6 corners out of 8. Thus, number of A-atoms per unit cell
$= \frac{1}{8} \times 6 = \frac{6}{8} = \frac{3}{4}$
Number of B-atoms per unit cell $= \frac{1}{2} \times 6 = 3$
$A : B =\frac{3}{4} : 3 =1 : 4$
Thus, formula is $AB_{4}.$
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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.
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.