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X ray diffraction method
1. PRESENTED BY : ANANT NAG
ID: 17BPH005
BATCH : 17-2021
Semester 8th (4TH YEAR)
X-RAY DIFFRACTION
METHOD
2. DEFINITION
X-ray diffraction, is a phenomenon in which the
atoms of a crystal, by virtue of their uniform
spacing, cause an interference pattern of the
waves present in an incident beam of X rays. The
atomic planes of the crystal act on the X rays in
exactly the same manner as does a uniformly
ruled grating on a beam of light.
4. The incoming beam
(coming from upper
left) causes each
scatterer to re-radiate
a small portion of its
intensity as a spherical
wave. If scatterers are
arranged symmetrically
with a separation d,
these spherical waves
will be in sync (add
constructively) only in
directions where their
path-length difference
2d sin θ equals an
integer multiple of
the wavelength λ. In
that case, part of the
incoming beam is
deflected by an angle
2θ, producing
a reflection spot in
the diffraction pattern
8. BASIC ASPECTS OF CRYSTALS
In a single-crystal X-ray diffraction measurement, a crystal is
mounted on a goniometer. The goniometer is used to position
the crystal at selected orientations. The crystal is illuminated with
a finely focused monochromatic beam of X-rays, producing a
diffraction pattern of regularly spaced spots known as reflections.
The two-dimensional images taken at different orientations are
converted into a three-dimensional model of the density of electrons
within the crystal using the mathematical method of Fourier
transforms, combined with chemical data known for the sample.
Poor resolution (fuzziness) or even errors may result if the crystals
are too small, or not uniform enough in their internal makeup.
9. X-RAY CRYSTALLOGRAPHY
X-ray crystallography (XRC) is the experimental science
determining the atomic and molecular structure of
a crystal, in which the crystalline structure causes a beam
of incident X-rays to diffract into many specific directions.
By measuring the angles and intensities of these diffracted
beams, a crystallographer can produce a three-dimensional
picture of the density of electrons within the crystal. From
this electron density, the mean positions of the atoms in
the crystal can be determined, as well as their chemical
bonds, their crystallographic disorder, and various other
information.
Since many materials can form crystals—such
as salts, metals, minerals, semiconductors, as well as
various inorganic, organic, and biological molecules—X-ray
crystallography has been fundamental in the development
of many scientific fields.
10.
11. ROTATING CRYSTAL TECHNIQUE
The rotation method is the
most common method to
determine steady
state crystal structures. The
orientation of
the rotation axis and
the rotation range can be
chosen to select a subset of
diffraction peaks fulfilling the
Bragg condition Δk = k − k =
Hhkl(r,φ)
12.
13. SINGLE CRYSTAL DIFFRACTION
Single-crystal X-ray
Diffraction is a non-
destructive analytical
technique which provides
detailed information about the
internal lattice
of crystalline substances,
including unit cell dimensions,
bond-lengths, bond-angles,
and details of site-ordering.
14.
15. POWDER DIFFRACTION
X-ray powder diffraction
(XRD) is a rapid analytical
technique primarily used for
phase identification of a
crystalline material and can
provide information on unit
cell dimensions. The
analyzed material is finely
ground, homogenized, and
average bulk composition is
determined.
19. REFERENCES
1. "Resonant X-ray Scattering | Shen
Laboratory". arpes.stanford.edu. Retrieved 2019-07-10.
(https://en.wikipedia.org/wiki/X-ray_crystallography)
2. A Powerpoint presentation on use of XRD in Soil
Science (PowerPoint 1.6MB Sep7 07) by Melody
Bergeron, Image and Chemical Analysis Laboratory at
Montana State University. (https://www.xos.com/XRD)
3. Vinita Vishwakarma, Sudha Uthaman, in Smart
Nanoconcretes and Cement-Based Materials, 2020
(https://www.jove.com/v/10446/x-ray-diffraction)
4. Jeff Dahl (https://www.britannica.com/science/X-ray-
diffraction)
5. Brady, John B., and Boardman, Shelby J., 1995, Introducing
Mineralogy Students to X-ray Diffraction Through Optical
Diffraction Experiments Using Lasers. Jour. Geol. Education,
v. 43 #5, 471-476.
(https://serc.carleton.edu/research_education/geochemshee
ts/techniques/XRD.html)