Concept explainers
Interpretation:
The length of unit cell and nearest neighbor distance in
Concept Introduction:
A unit cell is smallest repeating unit of a crystal lattice. Unit cells are classified as primitive and non-primitive. Unit cells that have atoms at only corners are primitive and unit cells that have atoms at positions other than corners are non-primitive.
Unit cells that are non- primitive are of various types:
Face centered unit cell (fcc), body centered unit cell (bcc), edge centered unit cell, end centered unit cell.
Contribution of an atom at a position is as follows:
Answer to Problem 15.41P
The edge length of unit cell of
Explanation of Solution
In
There are total of 8 corners with contribution at each corner as
So number of sodium atoms in the unit cell is calculated as follows:
So number of chlorine atoms in the unit cell is calculated as follows:
Since there are 4 sodium and 4 chlorine atoms so 4
So like
The formula to calculate the density of
Here,
Rearrange equation (1), to calculate the value of
Substitute 4 for
The edge length of unit cell of
The formula to calculate the nearest neighbor distance in
Here,
Substitute
The nearest neighbor distance in
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Chapter 15 Solutions
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