2. Introduction
X-ray diffraction is used to obtain structural information about
crystalline solids.
Useful in biochemistry to solve the 3D structures of complex bio-
molecules.
Bridge between physics, chemistry, and biology.
X-raydiffractionis important for
Solid-state physics
Biophysics
Medical physics
Chemistry and Biochemistry
3. Mostuseful in the characterisation of crystalline
materials; Ceramics, metals, intermetallics,
minerals, inorganic compounds
Rapid and nondestructive techniques
Provide information on unit cell dimension
Structural Analysis
X-ray diffraction provides most definitive structural
information
Interatomic distances and bond angles
What is XRD ?
4. Electromagnetic Spectrum
Beams of electromagnetic radiation
*smallerwavelength than visible light,
*higher energy
*more penetrative
What Is X-Rays ?
5. History of X-Ray Diffraction
Wilhelm Conrad Röntgen discovered 1895 the X-rays. 1901 he was
honoured by the Noble prize for physics. In 1995 the German Post
edited a stamp, dedicated to W.C. Röntgen.
6. History of X-Ray Diffraction
(1895) X-rays discovered by Roentgen
(1914) First diffraction pattern of a crystal made
by Knippingand von Laue
(1915) Theory to determine crystal structure
from diffraction pattern developed by Bragg.
(1953) DNA structure solved by Watson and
Crick
Now Diffraction improved by computer
technology; methods used to determine atomic
structures and in medical applications
The First X-Ray
7. X-Ray Production
• The prime componen in X-Ray tube are
filamen (catode), vacum room, anode, and
high voltage
• When high energy electrons strike an
anodein a sealed vacuum, x-raysare
generated. Anodes are often made of copper,
iron or molybdenum.
• High energy electron come from heated
filamen in X-Ray tube.
• X-rays are electromagnetic radiation.
• They have enough energy to cause
ionization.
9. Bragg’s Law
n λ = 2d sin θ
English physicists Sir W.H. Bragg and his son Sir W.L. Bragg developed a relationship in 1913 to
explain why the cleavage faces of crystals appear to reflect X-ray beams at certain angles of
incidence (theta, θ). The variable d is the distance between atomic layers in a crystal, and the
variable lambda l is the wavelength of the incident X-ray beam; n is an integer. This observation is
an example of X-ray wave interference (Roentgen strahl interferenzen), commonly known as X-
ray diffraction (XRD), and was direct evidence for the periodic atomic structure of crystals
postulated for several centuries.
10. Bragg’s Law
The Braggs were awarded the Nobel Prize in
physics in 1915 for their work in determining
crystal structures beginning with NaCl, ZnS
and diamond.
11. Bragg’s Law
Constructive interference occurs only when
n λ = AB + BC
AB=BC
n λ = 2AB
Sin θ =AB/d
AB=d sin θ
n λ = 2 d sin θ
λ = 2 d sin θ
12. How Diffraction Works ?
Wave Interacting with a Single Particle
Incident beams scattered uniformly in all directions
Wave Interacting with a Solid
Scattered beams interfere constructively in some directions, producing
diffracted beams
Random arrangements cause beams to randomly interfere and no distinctive
pattern is produced
Crystalline Material
Regular pattern of crystalline atoms produces regular diffraction pattern.
Diffraction pattern gives information on crystal structure
13. Components XRD
X-ray source
Device for restricting wavelength range
“goniometer”
Sample holder
Radiation detector
Signal processor and readout
14. How XRD works ?
A continuous beam of X-rays is incident on the
crystal
The diffracted radiation is very intense in certain
directions
These directions correspond to constructive
interference from waves reflected from the
layers of the crystal
The diffraction pattern is detected by
photographic film
15. How XRD works: Bragg’s Law
The beam reflected from the lower surface
travels farther than the one reflected from
the upper surface
If the path difference equals some integral
multiple of the wavelength, constructive
interference occurs
Bragg’s Law gives the conditions for
constructive interference
18. Single Crystal Diffraction
Used to determine
crystal structure
orientation
degree of crystalline perfection/imperfections (twinning, mozaicity, etc.)
Sample is illuminated with monochromatic radiation
Easier to index and solve the crystal structure because it diffraction peak is
uniquely resolved
19. Single Crystal Diffraction
A single crystal at random orientations and its corresponding diffraction pattern. Just
as the crystal is rotated by a random angle, the diffraction pattern calculated for this
crystal is rotated by the same angle
21. X-ray Powder Diffraction
More appropriately called polycrystalline X-ray diffraction, because it can also be
used for sintered samples, metal foils, coatings and films, finished parts, etc.
Used to determine
phase composition (commonly called phase ID)-what phases are present?
quantitative phase analysis-how much of each phase is present?
unit cell lattice parameters, crystal structure
average crystallite size of nanocrystallinesamples
crystallite microstrainandtexture
residual stress (really residual strain)
22. X-ray Powder Diffraction
A 'powder' composed from 4 single
crystals in random orientation (left) and
the corresponding diffraction pattern
(middle). The individual diffraction
patterns plotted in the same color as
the corresponding crystal start to add
up to rings of reflections. With just four
reflection its difficult though to
recognize the rings. The right image
shows a diffraction pattern of 40 single
crystal grains (black). The colored
spots are the peaks from the 4 grain
'powder' shown in the middle image.
23. Applications of X-Ray Diffraction
Determinationof Crystalstructure
Phaseidentification/ transition
Grainsize / micro-strain
Texture/stress( i.e.polymer, fiber )
Determination of thin film composition
Industry Identification of archeological materials
24. Advantages of XRD
Fastidentification of materials,
Easysample preparation,
Computer-aidedmaterial identification,
Large library of known crystalline structures.
25. Safetyin XRD
Exposure types
o Short-term high-dose
o Long-term low-dose
Invisible, odorless,colorless (most exposures undetectable)
Lab users must understand radiation safety issues and pass an exam to use lab
Safeguards present in lab do not substitute for knowledge and following safe
procedures