Question:

What is the percentage of free space in $fcc$ and $bcc$?

Updated On: Aug 1, 2022
  • $32\%$ and $68\%$
  • $68\%$ and $32\%$
  • $26\%$ and $32\%$
  • $32\%$ and $26\%$
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The Correct Option is C

Solution and Explanation

Packing fraction of fcc $= 74\%$ Empty space $= 100 - 74 = 26\%$ Packing fraction of bcc $= 68\%$ Empty space $= 100 - 68 = 32\%$
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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.