Question:

Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in %) of the resultant solid is closest to

Updated On: May 25, 2024
  • 25

  • 35

  • 55

  • 75

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The Correct Option is B

Solution and Explanation

The packing efficiency is 25 %.

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Concepts Used:

Packing Efficiency

The percentage of total space in a unit cell that is filled by the constituent particles, such as atoms, ions, or molecules, packed within the lattice is called the packing efficiency. It is the total amount of space engaged by these particles in three-dimensional space. In a simple manner, we can understand it as the specified percentage of the total volume of a solid which is occupied by spherical atoms. Packing Efficiency can be evaluated in three structures with the help of geometry which are:

  • Cubic Close Packing and Hexagonal Close Packing.
  • Body-Centred Cubic Structures
  • Simple Lattice Structures of Cubic

Following are the importance of packing efficiency:

  • It represents the solid structure of the object.
  • It displays different properties of solids such as consistency, density, and isotropy.
  • Different attributes of solid structures can be derived, with the help of Packing Efficiency.