Interpretation:
The planar density and packing fraction for the planes (100), (110), and (111) in BCC lithium needs to be calculated and the plane which is close packed needs to be identified.
Concept introduction:
Lithium has a body-centered cubic structure with a lattice parameter of 3.5089
The atomic radius can be calculated as follows:
Here,
Planar density is the ratio of the area of the plane to a number of atoms in a plane.
Answer to Problem 3.77P
Explanation of Solution
For plane (100):
From figure,
For plane (110):
From figure,
For plane(111):
From figure,
Higher the packing fraction, more dense it will be.
From the above calculation, packing fraction of all the planes are:
Hence, plane (110) is highly denser among all the planes because it has a higher value of packing fraction.
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