Bragg's
law A beam of X-rays directed at a crystal interacts with the
atoms of the crystal. The electrons in the atoms oscillate under the influence
of varying electromagnetic field of the X rays. They become new sources of
electromagnetic radiation. The waves emitted by the electrons, have the same
frequency as that of incident radiation. The emissions will be in phase and
re-enforce one another only in certain specific direction of the incidence of
the X-rays. Bragg visualized the process, considering the atomic planes as semi
transparent. They allow a part of the X-rays to pass through and reflect the
other part. The incident angle (called the Bragg angle) is equal to the
reflected angle. There is a path difference between rays reflected from plane 1
and adjacent plane 2 in the crystal (see fig)..
The two reflected rays will re-enforce each other only when this path
difference is equal to integral multiple of wavelength. The Bragg's condition
for reflection is,
n
l = 2 d sin q
where
n is an integer, and l is the wavelength of X-rays.
The
Bragg equation is used for determining the lattice parameter of crystals
d Fig. b7 X ray diffraction in a crystal
