Calculate the packing efficiency of the body-centered cubic unitcell. Show your work.

Chemistry by OpenStax (2015-05-04)
1st Edition
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Chapter10: Liquids And Solids
Section: Chapter Questions
Problem 77E: What is the coordination number of a chromium atom in the body-centered cubic structure of chromium?
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Calculate the packing efficiency of the body-centered cubic unit
cell. Show your work.

Expert Solution
Step 1

Packing efficiency of a cell is equal to the volume occupied by atoms divided by the volume of unit cell multiplied by 100.

Step 2

Write the expression of packing efficiency.

Packing efficiency=Volume occupied by atomsVolume of unit cell×100

Volume occupied by atoms is 43πr3. One unit of bcc contains two atoms. Calculate the total volume occupied by atoms.

Volume occupied by atoms=2×43πr3=83πr3

 

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