Concept explainers
Interpretation:
The structure factors and the form of diffraction pattern under the given conditions has to be determined.
Concept Introduction:
The structure factor is given by
Where,

Explanation of Solution
The location of the atoms in a bcc unit cell can be depicted as follows
Figure 1
Calculation of structure factor for bcc unit cell:
The atoms at the corner will give a weight of
Table for calculated values of phase difference:
Calculation of phase factor:
For corner atoms:
The phase factor for the corner atoms is
For the atom at body center,
Hence, the structure factor is given by
If
If
Diffraction pattern:
When,
(a)
This implies that there are no systematic absences.
(b)
When
When
That is, there is an alternation of intensity as
(c)
If
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Chapter 15 Solutions
ATKINS' PHYSICAL CHEMISTRY
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