2. INTRODUCTION:
X-rays discovered by Wilhelm Roentgen;
Known as x-rays because nature at first was unknown so, x-
rays are also called Roentgen rays;
X-ray diffraction in crystals was discovered by Max von
Laue;
The wavelength range is 0.01 to 10 nm (Frequency range of
30 petahertz to 30 exahertz)
There are two types of x-rays:
- Hard x-rays: which have high frequency and have
more energy.
- Soft x-rays: which have less frequency and have low
energy
3. X-Ray Diffraction (XRD)
Diffraction : X-rays are scattered from the atoms in the
sample. The rays scattered from the different atoms interfere
with one another either constructively or destructively.
4. Working Principle:
X-rays when passed through a crystal sample, X-rays are
scattered based on the arrangement of the atoms in the crystal.
Within a crystal, atoms are arranged in plane with a particular
distance in each axis viz., x, y and z.
When X-rays of a wavelength similar to the inter-planar distance
between the atoms, the rays diffract.
Braggs Eqn.: n = 2d Sin
n = integer
= wavelength of X-ray
d = atomic layer distance
= angle of incidence
5. BRAGG’S LAW: Constructive interference of the reflected
beams emerging from two different planes will take place if the
path lengths of two rays is equal to whole number of
wavelengths
10. Applications
Useful for determining the complex structures of metals and
alloys
Characterization of crystalline materials
Identification of fine-grained minerals such as clays and mixed
layer clays that are difficult to determine optically
Determination of unit cell dimensions
Measurement of sample purity
11. Structure of Crystals
Polymer Characterization
Identification Of Impurity
Particle size analysis
Degree of crystallinity
Applications of diffraction methods to complexes
a) Determination of cis-trans isomerism
b) Determination of linkage isomerism