Question:

The radius of an atom is $300\,pm$. If it crystallizes in a face-centered cubic lattice, length of the edge of the unit cell is

Updated On: May 12, 2024
  • $488.5\, pm$
  • $848.5\, pm$
  • $884.5\, pm$
  • $484.5\, pm$
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The Correct Option is B

Solution and Explanation

For $fcc, a_= 2 \sqrt{2} r = 2 \times 1.414 \times 300\, pm$
=848.4 pm
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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.