CONTENTS
Introduction
X-ray diffraction
X-ray Techiniques
Production of X-rays
Sources of X-rays
X-ray diffraction method
Bragg’s law and Diffraction
Deriving Bragg’s law
Application of XRD
INTRODUCTION
X-Ray crystallography is a powerfull technique for visualizing the
structure of proteins.
It is a tool used for identifying the atomic and molecular structure
of crystal.
In crystallography the crystalline atoms cause a beam of
incident x-ray to differact into many specific direction.
Then crystallographer can produce three dimentional picture of
the density of electrons with in the crystals .
From the electron density ,the mean positions of the atoms in
the crystal can be determined.
X-ray crystallography can locate every atom in a zeolite, an
aluminosilicate.
X –RAY DIFFRACTION
Wave length of x-ray region = 0.1 to 100 A anstrons.
For analytical purposes range of 0.7 – 2 .0 anstrons.
X-Rays are generated when light velocity electrons are on
the the metal target.
X-Ray crystallography uses the uniformity of light
diffraction of crystals to determine the structure of
molecules or atoms.
Then X-Ray beam is used to hit the crystallized molecule.
The Electron sorrounding the molecule diffract as the x-
rays hit them.
This forms a pattern . This type of pattern is known as x-
Ray diffraction pattern.
X-RAY TECHNIQUES
They are classiffied into 3 types .
X-ray absorption method : In this method ,a beam of x-
rays is allowed to pass and the sample which is having
the fraction of x-ray photons absorbed is consider to be
a measure of the concentration of the absorbing
substance .These methods are helpful in elemental
analysis .
X-ray diffraction methods : These methods are based on
the scattering of x-rays by crystals .This technique is
helpfull in identification of crystal structure of various
solid compounds.
X-ray flourescence method : In this methods
x-rays are generated conc in the sample and by
measuring the wave length and intensity of the
generated x-rays ,one can perform quality and quantity
analysis.
PRODUCTION OF X-RAY
Power is send to X-Ray tube via cables .
Ma ( milliamperage ) is send to filament on cathode side.
Filament heats up electron “ boil off ”
Negetive charge
Positive Voltage ( KVP ) is applied to ANODE.
Negetive Electrons = attracted across the tube to the positive
ANODE.
Electrons “ Slam into” anode suddenly stopped .
X-Ray photons are created .
Elecron beam is focused from the cathode to the anode target by
the focusing cup.
Electron interact with the electrons on the tungstuns atoms of
target material.
Photons send to through the window port towards the patient.
SOURCES OF X-RAY
X-RAY sources abound around us .They include the following
Natural x-ray sources .
Astrophysical x-ray source.
X-ray background.
Naturally occuring radionuclides.
• Artificial x-ray sources.
Radiopharmaceutical in radiopharmacology.
Radioactive tracer.
Brachytherapy
• X-ray tube : A vacume tube that producas x-rays when current
flow through it.
• X-ray laser.
• X-ray generator.
• Synchrotron radiation .
• Cyclotron radiation.
X-RAY DIFFRACTION METHOD
These are generally used for investigating the
internal structures and crystal structures of various
compounds .
They are :
Laue’s photographic method.
• Transmission method.
• Black reflection method.
Rotating crystal method .
Powder method .
TRANSMISSION METHOD
In the transmission laue method , the film is placed behind the
crystal to record beams which are transmitted through the
crystal.
One side of the cone of Laue reflections is defined by the
transmitted beam. The film intersects the cone , with the
diffraction generally lying on an ellipse.
• Can be used to orient crystals for solid state experiment.
• Most suitable for the investigation of preferred orientation
sheet particularly confined to lower diffraction angles.
• Also used in determination of symmetry of single crystals.
BLACK REFLECTION METHOD
In the black reflection method the film is placed
between the x-ray source and the crystal .The
beam which are differacted in a backward direction
are recorded.
One side of the cone of laue reflection is defined by
the transmitted beam .The film intersects the cone
,with the diffraction spots generally lying on an
hyperbola.
The method is similar to transmission method
however black reflection is the only method for the
study of large and thick specimens.
DISADVANTAGES
Big crystals are requied .
Crystal orientation is determined from the position
of the spots can be indexed, attributed to a
particular plane ,using special chart.
The Greninger chart is used for back reflection
patterns and the Leonhardt chart for transmission
patterns .
The Laue technique can also be used to assess
crystal perfection from the size and shape.
PHOTOGRAPHS CAN BE TAKEN BY:
Complete rotation method : In this method series of
complete revelutions occur.
Each set of a plane is a crystal diffracts four times during
rotation.
Four diffracted beams are distributed into rectangular
pattern in the central point of photograph.
Oscillation method : The crystal is oscillated at an angle
of 15 degree or 30 degree.
The photographic plate is also moved back and forth
with the crystal.
The position of the spot on the plate indicates the
orientation of the crystal at which the spot was formed.
POWDER CRYSTAL METHOD
X-Ray powder diffraction is a rapid analytical
technique primarly used for phase identification of
crystalline material and can provide information on
unit cell dimensions .The analysed material is finely
ground ,homogenised and average bulk
composition is determined.
• Fine powder is struck on a hair with gum, it is
suspended vertically in the axis of a cylindrical
camera.
When monochromatic beam is allowed to pass
different possibilities may happen.
1.There will be some particles out of random
orientation of small crystals in the fine powder.
POWDER CRYSTAL METHOD
2. Another fraction of grains will have another set of
planes in the correct positions for the reflection to
occur.
3. Reflection are possible in different orders for each
set.
If the angle of incidence is then angle of reflection
will be 2 .
If the radius is r the circumference 2 r corresponds
to a scattering angle of 360 degree.
= 360*1 / r
From the above eqvation the valve of can be
calculated and substituted in bragg’s equation to
get the value of d.
APPLICATIONS OF XRD
Structure of crystal.
Polymer characterisation.
Particle size determination.
Spot counting method.
Broadning of diffraction lines .
Low angle scattering.
o Applications of diffraction method to complexes.
Determination of cis trans isomerism.
Determination of linkage isomerism
o Miscellaneous applications.