SlideShare a Scribd company logo
INTRODUCTION
X –RAYS: The X-ray region of electromagnetic spectrum
consists of shortest wavelength in the region of about 0.1 to
100AO
 For analytical purposes ,the range of 0.7 to 2.0AOis mostly
used.
2
Radiotherapy
X-ray fluorescence
method
X-ray diffraction (or)
crystallography
X-ray absorption (or)
radiography
CLASSIFICATION
OF X-RAY
METHODS
3
DISCOVERY
 X-rays were discovered by W.C.Rontgen is a german
physicist in 1895.
 For his work Rontgen awarded the first ever Nobel prize
for physics in 1901
4
ORIGIN OF X-RAYS
 X-rays are generated when high velocity electrons impinge
on a metal target .
 The process of producing X-rays may be visualized in
terms of Bohr’s theory of atomic structure.
5
 Whenever a fast moving electron impinges on an atom, it
may knock out an electron completely from one of the
inner shells of that atom.
 Following the loss of inner-shell electron one of the outer
electrons will fall in to the vacated orbital ,by the emission
of x-rays.
6
 The energy of the emitted X-ray photon is equal to the
difference in energy between two levels involved.
E = E2-E1
 E2 and E1 are the final and initial energies which are
emitted from L and K shells respectively
 If the vacancy produced in the K-shell is filled by the
electron from L-shell, the radiation is called Kὰ .
 Electron from M-shell it is called Kβ.
7
 The frequency of emitted radiation is given by
ϑ= Z² (2∏2me/h3)(1/N1
2 –1/N2
2 )
Z = Atomic number of an atom
m = mass of the electron
e = charge of the electron
h = plank's constant
N1 , N2 =1 & 2 for K&L shell
8
TYPES OF RADIATION
1) BREHMSSTRAHLUNG (OR) BRAKING RADIATION:
9
2) CHARACTERISTIC X-RADIATION:
10
X-RAY DIFFRACTION
INTRODUCTION
THEORY
INSTRUMENTATION
METHODS OF X –RAY
DIFFRACTION
APPLICATIONS
11
 In 1912 von Laue placed a crystal of copper sulphate
between a white x-ray source and photographic plate
 The resulting photograph observed here:
12
THEORY
ABSORPTION
DIFFRACTION
FLOUROSENCE
13
DIFFRACTION
14
BRAGG’S LAW
 Bragg’s equation is n=2dsinө
 Constructive interference occurs only when
 n=AB+BC
 AB=BC
 n=2AB
 Sinө=AB/d
 n=2dsinө
 =2dhklsinөhkl
15
IN PHASE OUT OF PHASE
16
INSTRUMENTATION
GENERATION OF X-RAYS
COLLIMATOR
MONOCHROMATOR
DETECTORS
17
GENERATION OF X-RAYS
 X-rays are generated when high velocity of electrons
impinge on a metal target.
 Approximately 1% of total energy of electron beam is
converted in to x –radiation.
 Two type of devices are used for generating x-rays
1) X-ray tube
2) Synchrotron radiation
18
 X-ray tubes:
Side window tube
End window tube
19
Synchrotron radiation
 Synchrotron radiation is emitted by electron and positrons
travelling at near light speed in circular storage ring.
 Powerful sources which are thousands to millions of times
more intense than x-ray tubes.
20
COLLIMATOR
 The x-rays produced by the target material are randomly
directed.
 In order to get a narrow beam of x-rays ,they are allowed to
pass through a collimator which consist of two sets of
closely packed metal plates separated by a small gap.
 The collimator absorbs all the x-rays except the narrow that
passes between the gap.
21
MONOCHROMATORS
 Mainly two types:
a)FILTERS: It is a window of material that absorbs
undesirable radiation but allows the radiation of wave to
pass.
e.g. :Zirconium filter
 which is used for molybdenum radiation.
22
some more examples of beta filters:
b)Crystal monochromators
1)Flat crystal monochromator
2)Curved crystal monochromator
TARGET
ELEMENT
ß-FILTERS THICKNESS %LOSS IN K∞
INTENSITY
Co Fe 0.012 39
Cu Ni 0.015 45
Fe Mn 0.011 38
Mo Zr 0.081 57
Ni Co 0.013 42
23
 CRYSTAL MONOCHROMATOR: The beam is split into
component wavelength by the crystal line material such
material is called as Analyzing crystal.
 Crystals used in monochromators are sodium chloride,
lithium fluoride, quartz etc.
24
DETECTORS
1) photographic method
2)counter methods
a) Geiger - Muller tube method
b) proportional counter
c) scintillation detector
d) solid-state semiconductor detector
e)semi conductor
25
PHOTOGRAPHIC METHOD
 PRINCIPLE :
By using plane or cylindrical film
Developing the film
 D=log Io/I
D is the total energy
Measured by using densitometer
 USES: For diffraction studies
For quantitative measurement
 DIS ADVENTAGES: Time consuming
26
SCINTILLATION DETECTOR
 Its mainly contains a large crystal of
sodium iodide activated with small
amounts of thallium.
 They convert incident x-rays in to visible
light which is detected by photo
multiplier tube.
 e.g. for crystals :
sodium iodide , anthracene,
naphthalene ,p- terpenol in xylene.
 Used for short wavelengths
27
PROPORTIONAL COUNTER METHOD:
 It is filled with heavier gas like xenon ( or) krypton
it is preferred because it is easily ionized.
 More efficiency and sensitive
28
GIEGER MULLER COUNTER
 PRINCIPLE: Ionization of argon gas which is filled in the
Geiger tube by x-rays.
 ADVANTAGES: In expensive
Trouble-free
 DISADVANTAGES: only for counting low rates
Efficiency will be less
29
SOLID- STATE SEMI CONDUCTOR
DETECTOR:
 Electrons produced by x-ray beams are converted
in to conduction bands ,the current which flows
is directly propotional to incident x-rays.
SEMI CONDUCTOR DETECTOR:
 A pure silicon block set up with a thin film
lithium metal placed on to one end.
Semi conductor
30
X-RAY DIFFRACTION METHODS
1) SINGLE CRYSTAL DIFFRACTOMETER:
A) LAUE METHOD
a)TRANSMISSON METHOD
b)BACK REFLECTION METHOD
B) BRAGG’S SPECTROPHOTOMETER METHOD
2)POWDER CRYSTAL DIFFRACTOMETER
31
LAUE METHOD
TRANSMISSION METHOD
32
BACK REFLECTION METHOD
33
BRAGG’S SPECTROPHOTOMETER
34
ROTATING CRYSTAL METHOD
35
POWDER CRYSTAL METHOD
36
37
APPLICATIONS
1)STRUCTURE OF CRYSTAL:
38
2)POLYMER CHARACTERISATION:
39
3)PARTICLE SIZE DETERMINATION:
a)Spot counting method:
b)Broadening of diffraction lines
c)Low-angle scattering
4)APPLICATIONS OF DIFFRACTION METHODS TO
COMPLEXES:
a)Determination of cis-trans isomer
b)Determination of linkage isomer
40
5)STATE OF ANNEAL IN METALS :
 Well annealed metals are in well ordered crystal form and give
sharp diffraction lines.
 If the metal breaking is present then the x-ray pattern more
diffuse.
6)MISCELLANEOUS APPLICATIONS:
 Soil classification based on crystallinity
 Analysis of industrial dusts
 Weathering and degradation of naturals and synthetic
minerals
 Corrosion products can be studied by this method
 Tooth enamel and dentine have been examined by X-ray
diffraction.
41
42
PANALITICAL XPERT INSTRUMENT
Features:
 X-ray source: Philips high intensity ceramic sealed tube (3kW)
 Wavelength: Cu Ka (1.5405 Å)
 Incident beam optics: 2 interchangeable fixed slits and one Soller slit.
 Diffracted beam optics: fixed slit plus programmable receiving slit,
graphite analyzer
 Detectors: sealed proportional counter and X'celerator PSD for high
speed data collection
 Sample stage: powder stage, texture cradle with sample translation
 Software: Philips X’PERT suite: Data Collector, Graphics & Identify,
Texture
 XPERT Powder (I) - for high-speed phase identification
 XPERT Thin Film (II) - for thin film, grazing-incidence XRD, texture
measurement
43
REFERENCES
 Remington 21st edition pg.no.481
 Instrumental methods of chemical analysis by
Gurdeep. R. Chatwal ,12th chapter,pg.no.2.303-2.339
 Analytical chemistry by Clive Whiston
(x-ray methods)
44
THANK YOU
THANK YOU
45

More Related Content

DOCX
Thermometiric titration
PPTX
Voltammetry and Polarography
PPTX
Mass spectrometry problems-1.
PPT
Photo Electron Spectroscopy
PPTX
Chapter 3 ppt
DOC
Magnetic Properties of Lanthanides
PDF
MASS SPECTROMETRY INTRODUCTION.pdf
PPTX
Thermometric titration
Thermometiric titration
Voltammetry and Polarography
Mass spectrometry problems-1.
Photo Electron Spectroscopy
Chapter 3 ppt
Magnetic Properties of Lanthanides
MASS SPECTROMETRY INTRODUCTION.pdf
Thermometric titration

What's hot (20)

PPTX
Cyclic voltammetry
PPTX
Electronic spectra
PPT
Atomic spectroscopy
PPTX
Atomic absorption spectrometry (aas)
PPTX
Molecular orbitals diagrams of hexacyanoferrate(III) and hexafluoroferrate(III)
PPTX
Cyclic voltammetry
PPTX
Zero field splitting
PDF
Amperometry
PPTX
Electrogravimetry
PDF
Electronic spectra
PPT
2018 ELECTRON DIFFRACTION AND APPLICATIONS
PDF
Basic potential step and sweep methods
PPTX
Surface chemistry
PPTX
Coulometry.pptx presentation assignment copy
PPTX
Atomic absorption spectrcopy
PPT
Voltammetry
PPTX
Secondary Ion Mass Spectroscopy (SIMS) PPT
PPTX
.Electron diffraction for m.sc, student complete unit
PPTX
Fluxional Isomerism in organometallic compounds.pptx
PPTX
Auger Electron Spectroscopy
Cyclic voltammetry
Electronic spectra
Atomic spectroscopy
Atomic absorption spectrometry (aas)
Molecular orbitals diagrams of hexacyanoferrate(III) and hexafluoroferrate(III)
Cyclic voltammetry
Zero field splitting
Amperometry
Electrogravimetry
Electronic spectra
2018 ELECTRON DIFFRACTION AND APPLICATIONS
Basic potential step and sweep methods
Surface chemistry
Coulometry.pptx presentation assignment copy
Atomic absorption spectrcopy
Voltammetry
Secondary Ion Mass Spectroscopy (SIMS) PPT
.Electron diffraction for m.sc, student complete unit
Fluxional Isomerism in organometallic compounds.pptx
Auger Electron Spectroscopy
Ad

Similar to X-Ray diffraction Spec methods for analysis (20)

PPTX
"X ray crystallography" - Tathagata Pradhan , Department of Pharmaceutical Ch...
PPTX
Analysis ppt xrd
PPTX
X ray crystallography
PPTX
X-ray crystallography.pptxhgdutdysiliy55w5s
PDF
Crystal structure analysis
PPTX
XRD- X-Ray diffraction
PPTX
X ray Crystallography
PPTX
PPTX
X ray diffraction ppt
PDF
PPTX
Analysis of pharmaceuticals by mani
PPTX
x ray crystallography & diffraction
PPTX
Xray diffraction
PPTX
x-ray-diffraction-technique
PPTX
81347482 x-ray-diffraction-technique
PPTX
X-ray diffraction, basic principle, instruments, Bragg's law, diffraction and...
PPTX
X-Ray Diffraction By Dr Vimarsha Bhatkalkar
PDF
81347482-x-ray-diffraction-technique-140929002756-phpapp01.pdf
PDF
XRD BY SATYAM.pdf
PDF
X - RAY DIFFRACTION TECHNIQUE
"X ray crystallography" - Tathagata Pradhan , Department of Pharmaceutical Ch...
Analysis ppt xrd
X ray crystallography
X-ray crystallography.pptxhgdutdysiliy55w5s
Crystal structure analysis
XRD- X-Ray diffraction
X ray Crystallography
X ray diffraction ppt
Analysis of pharmaceuticals by mani
x ray crystallography & diffraction
Xray diffraction
x-ray-diffraction-technique
81347482 x-ray-diffraction-technique
X-ray diffraction, basic principle, instruments, Bragg's law, diffraction and...
X-Ray Diffraction By Dr Vimarsha Bhatkalkar
81347482-x-ray-diffraction-technique-140929002756-phpapp01.pdf
XRD BY SATYAM.pdf
X - RAY DIFFRACTION TECHNIQUE
Ad

More from Dr.Venkata Suresh Ponnuru (20)

PPT
Estimation of drugs by thin-layer-chromatography (1).ppt
PPT
Estimation of drugs by Gas Chromatography.ppt
PPTX
eSTIMATION OF DRUGS BY Affinity Chrom.pptx
PPTX
Quality control Analysis of emulstions & syrups.pptx
PPTX
Quality control of Analysis of CRUDE DRUGS.pptx
PPT
estimation of gangliosides in Cancer screening.ppt
PPTX
estimation of drugs by LCMS and other techniques
PPT
estimation of gangliosides by LCMS and other techniques
PPTX
UV-VIS spectroscopy and Wood word rules.pptx
DOCX
BILASTINE AND CITRIZINE IN PLASMA SAMPLES BY HPLC.docx
PDF
HowtoReadandInterpret1H-NMRand13C-NMRSpectrums.pdf
PDF
Microwave-Assisted_Extraction_and_HPLC-DAD_Determi.pdf
PPT
introductoin to Biostatistics ( 1st and 2nd lec ).ppt
PPT
review of Litt on clinical research and Methodology
PDF
EVALUATION_OF_BIO_MEDICAL_LITERATURE.pdf
PDF
101-Types-of-Review-Salim_Marcus_Turin.pdf
PDF
PDF
PDF
maccioni2002.pdf
PDF
Estimation of drugs by thin-layer-chromatography (1).ppt
Estimation of drugs by Gas Chromatography.ppt
eSTIMATION OF DRUGS BY Affinity Chrom.pptx
Quality control Analysis of emulstions & syrups.pptx
Quality control of Analysis of CRUDE DRUGS.pptx
estimation of gangliosides in Cancer screening.ppt
estimation of drugs by LCMS and other techniques
estimation of gangliosides by LCMS and other techniques
UV-VIS spectroscopy and Wood word rules.pptx
BILASTINE AND CITRIZINE IN PLASMA SAMPLES BY HPLC.docx
HowtoReadandInterpret1H-NMRand13C-NMRSpectrums.pdf
Microwave-Assisted_Extraction_and_HPLC-DAD_Determi.pdf
introductoin to Biostatistics ( 1st and 2nd lec ).ppt
review of Litt on clinical research and Methodology
EVALUATION_OF_BIO_MEDICAL_LITERATURE.pdf
101-Types-of-Review-Salim_Marcus_Turin.pdf
maccioni2002.pdf

Recently uploaded (20)

PPTX
Renaissance Architecture: A Journey from Faith to Humanism
PDF
Complications of Minimal Access Surgery at WLH
PDF
2.FourierTransform-ShortQuestionswithAnswers.pdf
PDF
102 student loan defaulters named and shamed – Is someone you know on the list?
PDF
Chapter 2 Heredity, Prenatal Development, and Birth.pdf
PPTX
Final Presentation General Medicine 03-08-2024.pptx
PPTX
Pharma ospi slides which help in ospi learning
PDF
ANTIBIOTICS.pptx.pdf………………… xxxxxxxxxxxxx
PDF
Classroom Observation Tools for Teachers
PPTX
human mycosis Human fungal infections are called human mycosis..pptx
PDF
01-Introduction-to-Information-Management.pdf
PPTX
Lesson notes of climatology university.
PDF
Module 4: Burden of Disease Tutorial Slides S2 2025
PPTX
Cell Structure & Organelles in detailed.
PDF
grade 11-chemistry_fetena_net_5883.pdf teacher guide for all student
PPTX
PPT- ENG7_QUARTER1_LESSON1_WEEK1. IMAGERY -DESCRIPTIONS pptx.pptx
PDF
Microbial disease of the cardiovascular and lymphatic systems
PDF
FourierSeries-QuestionsWithAnswers(Part-A).pdf
PDF
The Lost Whites of Pakistan by Jahanzaib Mughal.pdf
PDF
3rd Neelam Sanjeevareddy Memorial Lecture.pdf
Renaissance Architecture: A Journey from Faith to Humanism
Complications of Minimal Access Surgery at WLH
2.FourierTransform-ShortQuestionswithAnswers.pdf
102 student loan defaulters named and shamed – Is someone you know on the list?
Chapter 2 Heredity, Prenatal Development, and Birth.pdf
Final Presentation General Medicine 03-08-2024.pptx
Pharma ospi slides which help in ospi learning
ANTIBIOTICS.pptx.pdf………………… xxxxxxxxxxxxx
Classroom Observation Tools for Teachers
human mycosis Human fungal infections are called human mycosis..pptx
01-Introduction-to-Information-Management.pdf
Lesson notes of climatology university.
Module 4: Burden of Disease Tutorial Slides S2 2025
Cell Structure & Organelles in detailed.
grade 11-chemistry_fetena_net_5883.pdf teacher guide for all student
PPT- ENG7_QUARTER1_LESSON1_WEEK1. IMAGERY -DESCRIPTIONS pptx.pptx
Microbial disease of the cardiovascular and lymphatic systems
FourierSeries-QuestionsWithAnswers(Part-A).pdf
The Lost Whites of Pakistan by Jahanzaib Mughal.pdf
3rd Neelam Sanjeevareddy Memorial Lecture.pdf

X-Ray diffraction Spec methods for analysis

  • 1. INTRODUCTION X –RAYS: The X-ray region of electromagnetic spectrum consists of shortest wavelength in the region of about 0.1 to 100AO  For analytical purposes ,the range of 0.7 to 2.0AOis mostly used. 2
  • 2. Radiotherapy X-ray fluorescence method X-ray diffraction (or) crystallography X-ray absorption (or) radiography CLASSIFICATION OF X-RAY METHODS 3
  • 3. DISCOVERY  X-rays were discovered by W.C.Rontgen is a german physicist in 1895.  For his work Rontgen awarded the first ever Nobel prize for physics in 1901 4
  • 4. ORIGIN OF X-RAYS  X-rays are generated when high velocity electrons impinge on a metal target .  The process of producing X-rays may be visualized in terms of Bohr’s theory of atomic structure. 5
  • 5.  Whenever a fast moving electron impinges on an atom, it may knock out an electron completely from one of the inner shells of that atom.  Following the loss of inner-shell electron one of the outer electrons will fall in to the vacated orbital ,by the emission of x-rays. 6
  • 6.  The energy of the emitted X-ray photon is equal to the difference in energy between two levels involved. E = E2-E1  E2 and E1 are the final and initial energies which are emitted from L and K shells respectively  If the vacancy produced in the K-shell is filled by the electron from L-shell, the radiation is called Kὰ .  Electron from M-shell it is called Kβ. 7
  • 7.  The frequency of emitted radiation is given by ϑ= Z² (2∏2me/h3)(1/N1 2 –1/N2 2 ) Z = Atomic number of an atom m = mass of the electron e = charge of the electron h = plank's constant N1 , N2 =1 & 2 for K&L shell 8
  • 8. TYPES OF RADIATION 1) BREHMSSTRAHLUNG (OR) BRAKING RADIATION: 9
  • 11.  In 1912 von Laue placed a crystal of copper sulphate between a white x-ray source and photographic plate  The resulting photograph observed here: 12
  • 14. BRAGG’S LAW  Bragg’s equation is n=2dsinө  Constructive interference occurs only when  n=AB+BC  AB=BC  n=2AB  Sinө=AB/d  n=2dsinө  =2dhklsinөhkl 15
  • 15. IN PHASE OUT OF PHASE 16
  • 17. GENERATION OF X-RAYS  X-rays are generated when high velocity of electrons impinge on a metal target.  Approximately 1% of total energy of electron beam is converted in to x –radiation.  Two type of devices are used for generating x-rays 1) X-ray tube 2) Synchrotron radiation 18
  • 18.  X-ray tubes: Side window tube End window tube 19
  • 19. Synchrotron radiation  Synchrotron radiation is emitted by electron and positrons travelling at near light speed in circular storage ring.  Powerful sources which are thousands to millions of times more intense than x-ray tubes. 20
  • 20. COLLIMATOR  The x-rays produced by the target material are randomly directed.  In order to get a narrow beam of x-rays ,they are allowed to pass through a collimator which consist of two sets of closely packed metal plates separated by a small gap.  The collimator absorbs all the x-rays except the narrow that passes between the gap. 21
  • 21. MONOCHROMATORS  Mainly two types: a)FILTERS: It is a window of material that absorbs undesirable radiation but allows the radiation of wave to pass. e.g. :Zirconium filter  which is used for molybdenum radiation. 22
  • 22. some more examples of beta filters: b)Crystal monochromators 1)Flat crystal monochromator 2)Curved crystal monochromator TARGET ELEMENT ß-FILTERS THICKNESS %LOSS IN K∞ INTENSITY Co Fe 0.012 39 Cu Ni 0.015 45 Fe Mn 0.011 38 Mo Zr 0.081 57 Ni Co 0.013 42 23
  • 23.  CRYSTAL MONOCHROMATOR: The beam is split into component wavelength by the crystal line material such material is called as Analyzing crystal.  Crystals used in monochromators are sodium chloride, lithium fluoride, quartz etc. 24
  • 24. DETECTORS 1) photographic method 2)counter methods a) Geiger - Muller tube method b) proportional counter c) scintillation detector d) solid-state semiconductor detector e)semi conductor 25
  • 25. PHOTOGRAPHIC METHOD  PRINCIPLE : By using plane or cylindrical film Developing the film  D=log Io/I D is the total energy Measured by using densitometer  USES: For diffraction studies For quantitative measurement  DIS ADVENTAGES: Time consuming 26
  • 26. SCINTILLATION DETECTOR  Its mainly contains a large crystal of sodium iodide activated with small amounts of thallium.  They convert incident x-rays in to visible light which is detected by photo multiplier tube.  e.g. for crystals : sodium iodide , anthracene, naphthalene ,p- terpenol in xylene.  Used for short wavelengths 27
  • 27. PROPORTIONAL COUNTER METHOD:  It is filled with heavier gas like xenon ( or) krypton it is preferred because it is easily ionized.  More efficiency and sensitive 28
  • 28. GIEGER MULLER COUNTER  PRINCIPLE: Ionization of argon gas which is filled in the Geiger tube by x-rays.  ADVANTAGES: In expensive Trouble-free  DISADVANTAGES: only for counting low rates Efficiency will be less 29
  • 29. SOLID- STATE SEMI CONDUCTOR DETECTOR:  Electrons produced by x-ray beams are converted in to conduction bands ,the current which flows is directly propotional to incident x-rays. SEMI CONDUCTOR DETECTOR:  A pure silicon block set up with a thin film lithium metal placed on to one end. Semi conductor 30
  • 30. X-RAY DIFFRACTION METHODS 1) SINGLE CRYSTAL DIFFRACTOMETER: A) LAUE METHOD a)TRANSMISSON METHOD b)BACK REFLECTION METHOD B) BRAGG’S SPECTROPHOTOMETER METHOD 2)POWDER CRYSTAL DIFFRACTOMETER 31
  • 36. 37
  • 39. 3)PARTICLE SIZE DETERMINATION: a)Spot counting method: b)Broadening of diffraction lines c)Low-angle scattering 4)APPLICATIONS OF DIFFRACTION METHODS TO COMPLEXES: a)Determination of cis-trans isomer b)Determination of linkage isomer 40
  • 40. 5)STATE OF ANNEAL IN METALS :  Well annealed metals are in well ordered crystal form and give sharp diffraction lines.  If the metal breaking is present then the x-ray pattern more diffuse. 6)MISCELLANEOUS APPLICATIONS:  Soil classification based on crystallinity  Analysis of industrial dusts  Weathering and degradation of naturals and synthetic minerals  Corrosion products can be studied by this method  Tooth enamel and dentine have been examined by X-ray diffraction. 41
  • 41. 42
  • 42. PANALITICAL XPERT INSTRUMENT Features:  X-ray source: Philips high intensity ceramic sealed tube (3kW)  Wavelength: Cu Ka (1.5405 Å)  Incident beam optics: 2 interchangeable fixed slits and one Soller slit.  Diffracted beam optics: fixed slit plus programmable receiving slit, graphite analyzer  Detectors: sealed proportional counter and X'celerator PSD for high speed data collection  Sample stage: powder stage, texture cradle with sample translation  Software: Philips X’PERT suite: Data Collector, Graphics & Identify, Texture  XPERT Powder (I) - for high-speed phase identification  XPERT Thin Film (II) - for thin film, grazing-incidence XRD, texture measurement 43
  • 43. REFERENCES  Remington 21st edition pg.no.481  Instrumental methods of chemical analysis by Gurdeep. R. Chatwal ,12th chapter,pg.no.2.303-2.339  Analytical chemistry by Clive Whiston (x-ray methods) 44