CONTENTS
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Discovery of X-rays
Introduction
Types of X-ray techniques
Production of x- rays
Bragg’s law
Crystallography techniques
Applications
Discovery of X-rays
• X-rays were discovered by W.C Roentgen (1895)
while working on cathode rays.
• He named it X-ray because in mathematics “X” is
used to indicate unknown quantity.
Wilhelm Conrad Roentgen
(1845-1923)
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Introduction
• X-ray spectroscopy is based upon measurement of emission, absorption,
scattering and diffraction of electromagnetic radiation.
• X-ray fluorescence and x-ray absorption are widely used for qualitative
and quantitative determination of all elements in the periodic table having
atomic number greater than sodium.
• X-rays are short wavelength electromagnetic radiation produced by
deccelaration of high energy electrons or by electronic transitions of
electrons in the inner orbital of atoms.
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X-ray crystallography
X ray crystallography is an importance tool to identify the atomic
and molecular structure of crystal.
The crystalline atoms causes a beam of incident x rays to diffract
into many direction.
Crystallography produce three dimensional picture of the density of
electron with in the crystals and from crystal density, the mean
position of the atom in crystal can be determine.
The intensity of each diffracted ray is fed into a computer, which
uses a mathematical equation called a ‘Fourier transform’ to
calculate the position of every atom in the crystallized molecule.
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• Crystals Must be:
o Small in size:
o Less than 1 millimeter
o Perfect:
o No cracks
o No Inclusions, such as air bubbles
o If the crystals are not perfect then the end image that is formed will have
random patterns or have other problems.
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PRODUCTION OF X-RAYS
• Visible light proton and x –ray protons are both produced by the
movement of electrons in atoms.
• Electrons occupy different energy levels or orbits , around an atom’s
nucleus.
• When an electron drops to a lower orbital, it needs to release some
energy ; it releases the extra energy in the form of a photon .
• The energy level of the photon depends on how far the electron
dropped between orbitals.
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TYPES OF X-RAY TECHNIQUES
Classified into three major categories:
I. X-ray absorption method
• This method is similar to other absorption methods of electromagnetic
spectrum like uv visible IR spectroscopy etc.
• In this method a beam of X-ray is allowed to pass through the sample and
fraction of x ray photons absorbed is considered to be a measure of
concentration of the sample.
• The amount of radiation absorbed is directly proportional to the concentration of
absorbing system.
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II. X-ray fluorescence method
• X-rays are generated within the sample ,
• By measuring the wavelength and intensity of the generated X-rays analyst
can perform qualitative and quantitative analysis.
III. X-ray diffraction method
• Based on scattering of X-rays by crystals .
• By using these method, analyst can easily identify the crystal structure of
any solid compound(sample) with high degree of simplicity and accuracy.
• XRD is extremely important method as compared to other x ray
crystallography.
• All the three techniques are non-destructive .
X-ray diffraction
Diffraction is the slight bending of light as it passes around the edge of an
object.
X-ray crystallography uses the uniformity of light diffractionof crystals to
determine the structure of molecule or atom
Then X-ray beam is used to hit the crystallized molecule.
The electron surroundingthe molecule diffract as the X-rays hit them.
This forms a pattern. This type of pattern is known as X-ray diffraction
pattern.
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BRAGG’S LAW
When x-ray beam strikes a crystal surface at some angle θ,a portion is scattered
by the layer of atoms of the surface. The unscattered portion of beam penetrates
to the second layer of atoms where again a fraction is scattered and remainder
passes on the third layer. The cumulative effect of this scattering form the
regularly spaced Centre's on the crystals.
nλ = 2d sinƟ
Here ,dis the spacing between diffracting planes, Ɵis the incident angle, n is
an integer, and λis the wavelength of the beam.
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ROTATING CRYSTAL METHOD
In the rotating crystal method , a single
crystal is mounted with an axis normal to a
monochromatic x- ray beam.
A cylindrical film is placed around it and
the crystal is rotated about the chosen axis.
As the crystal rotates, sets of lattice planes
will at some point make the correct bragg
angle for the monochromatic incident beam,
and at that point a diffracted beam will be
formed .
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The arrangement of this method is outlined as follows :
a) The X – rays are generated in the X – ray
tube the beam is made Monochromatic by a
filter.
b) From the filter, the beam is allowed to pass
through collimating system which permits a
fine pencil of parallel X – rays.
c) Then the shaft is moved to put the crystal
into slow rotation about a fixed axis. This
causes the sets of planes coming
successively into their reflecting positions,
i.e., the value of ᶿ satisfies the Bragg’s
relation.
d) Each plane will produce a spot on the
photographic plate. One can take a
photograph of a diffraction pattern upon a
photographic plate perpendicular to X - ray
beam or upon a film in a cylindrical camera,
the axis of which coincides with the axis of
rotation of the crystal.
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In powder method, the crystal sample need not be taken in
large quantity but as little as 1mg of the material is
sufficient for the study.
A is a source of X – rays which can be made
monochromatic by a filter.
Allow the X – ray beam to fall on the powdered specimen
P through the slits S1 & S2. The function of these slits is to
get a narrow pencil of X – rays.
Fine powder, P, struck on a hair by means of gum is
suspended vertically in the axis of a cylindrical camera.
This enables sharp lines to be obtained on the photographic
film which is surrounding the powder crystal in the form of
a circular arc.
The X – rays after falling on the powder passes out of the
camera through a cut in the film so as to minimize the
fogging produced by the scattering of the direct beam. 17
POWDER METHOD
Applications
• X-ray diffraction is most widely used for the identification of
unknown crystalline materials (e.g. minerals, inorganic compounds).
• XRDis a nondestructive technique
• Provides information on the molecular structure of crystal.
• X ray Diffraction is used to determination of Cis-Trans isomerism
• Determine electron density ,the mean positions of the atoms in the crystal
their chemical bonds, their disorder and various other information..
• Arrangement and spacing of atoms in crystalline materials
• Physical properties determination of metals,polymeric material, and other
solids.
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REFERENCE
• Instrumental methods of chemical analysis by Gurdeep R. Chatwal
and Sham K. Anand , Himalaya Publication, 5th revised edition page
no. 2.303-2.339
• Instrumental method of analysis by Willard, Merritt, Dean, Settle,
CBS Publishers and Distributors, 7th Edition, page NO-340-397.
• www.pharmatutor.com
• www.researchgate.com
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