Assume
that the x-ray beam shown in the figure is not monochromatic but
contains wavelengths in a band from 95.0 to
139 pm. We have to
find whether diffracted beams, associated with the planes shown,
will occur, and,
if so, find
the wavelengths that are diffracted. We
may assume that
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Solution: Click For PDF Version The angle of incidence .
Interplanar
separation
The Bragg equation is
Using the data of the problem, we note that the wavelengths that will be Bragg reflected will be
The set of wavelengths that are Bragg reflected is
The band of x-rays contains wavelengths between 95.0 pm to 139 pm. Therefore, the wavelengths that will undergo Bragg reflection from the planes of the lattice as shown in the figure will be 135.6 pm and 101.8 pm. |
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