Question:

The correct order of the packing efficiency in different types of unit cell is?

Updated On: Apr 30, 2024
  • fcc>bcc>simple cube 
  • fcc<bcc<simple cube 
  • fcc<bcc>simple cube 
  • fcc=bcc>simple cube 
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The Correct Option is A

Solution and Explanation

The correct answer is option (A): fcc>bcc>simple cube 
The packing efficiency is the total space that is occupied by the atoms or ions, in a crystal lattice. FCC: The packing efficiency is 74%. The atoms are arranged in a cubic lattice and an atom is also placed at the center of each cube face. BCC: The packing efficiency is 68%. In this apart from the center an atom is located at each corner of the cube. Simple cubic: packing efficiency is 52%. The atoms are present in the cubic lattice and one atom is at each corner of the cube. So, the correct order will be: fcc>bcc>simple cube 
 
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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.