Question:

Number of atom per unit cell in B.C.C.

Updated On: Jul 26, 2024
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The Correct Option is C

Solution and Explanation

The correct option is (C) : 2 

In BCC, the cube's body centre and corners are occupied by lattice atoms. A cube contains 8 corners, each of which contributes \(\frac{1}{8}\) of the total. The effective number of atoms per cube = \(\frac{1}{8}\)×8 = 1. Additionally, each cube will contain one body centre, and a body centre will have a contribution of 1. Therefore, the actual number of atoms in a cube is 1. So, the BCC has a total of 1+1=2 atoms.

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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.