30 Nov 2021
Problem 83a
Page 475
Section: Cumulative Problems
Chapter 11: Liquids, Solids, and Intermolecular Forces
Textbook ExpertVerified Tutor
30 Nov 2021
Given information
Consider the face-centered cubic structure shown here.
What is the length of the line (labeled 
) that runs diagonally across one of the faces of the cube in terms of 
(the atomic radius) ?
) that runs diagonally across one of the faces of the cube in terms of (the atomic radius) ?Step-by-step explanation
Step 1.
In the face-centered cubic lattice,the atoms touch along a face diagonal as shown here in this image:
where r is the atomic radius.
We can see that the diagonal passes through one half of an atom at the centre( 
) (as its face centred,one half of an atom is at the centre of the face) and two half atoms at the ends ().which altogether gives the length of the line labelled in terms of the radius of the atoms as,
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Principles of Chemistry Molecular Approach
3rd Edition, 2014
Tro
ISBN: 9780321971944