synchrotron radiation-based imaging · sr features important for x-ray imagingsr features important...
TRANSCRIPT
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José BARUCHELHead of the X-Ray Imaging Group
European Synchrotron Radiation Facility
JosJoséé BARUCHELBARUCHELHead of the XHead of the X--Ray Imaging GroupRay Imaging Group
European Synchrotron Radiation FacilityEuropean Synchrotron Radiation Facility
ESRFX-Ray Imaging Group
Synchrotron radiation-based imagingAn introduction
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OutlineOutlineOutline•• 1 1 –– Introduction: synchrotron radiation and imagingIntroduction: synchrotron radiation and imaging
•• 2 2 –– Basic InteractionsBasic Interactions
•• 3 3 –– Radiography: absorption, phase Radiography: absorption, phase
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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•• 1 1 –– Introduction: synchrotron radiation and imagingIntroduction: synchrotron radiation and imaging
•• 2 2 –– Basic InteractionsBasic Interactions
•• 3 3 –– Radiography: absorption, phase Radiography: absorption, phase
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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ImagingImaging-- revealsreveals inhomogeneitiesinhomogeneities and and singularitiessingularities in in the samplethe sample-- throughthrough variations in variations in reflectionreflection, transmission, , transmission, ……behaviourbehaviour
for for the the probe probe usedused
Images can be made with
light, electrons, ultrasound, nuclear magnetic resonance, neutrons, …
and X-rays !
Making images with different probes is valuable because it can yield different information
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X-ray ImagingX-ray Imaging
X-rayimaging is
not actually a new
technique….
Variation of absorption
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Substantially renewed by the
use of Synchrotron
Radiation
X-RAY IMAGING
Microtomographic image of an industrial feltMicrotomographic image of an industrial felt
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PSF
object
The observed image integrates the detection processThe observed image integrates the detection process
The observed size feature is a function of its physical size
within the x-ray beam exiting the sample and the
Point Spread Function
of the used detector
Also depends on the statistical or instrumental noise, geometry, …
importance of devoting time to detectors
John Morse’s talk
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Synchrotron radiationSynchrotron radiation
The amount of X-rays produced by X-ray generators is limited by the heat load
on the anode
Another way of obtaining X-rays is by using the radiation emitted by accelerated relativistic ( Ee = γ Erest, with γ #103−104)
electrons
All the emission is concentrated in a narrow cone of aperture 1/γ
1/γ
electrons
electron orbit
X-rays
X-rays
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A modern synchrotron radiation X-ray sourceA modern synchrotron radiation X-ray source
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Cooperation between 18 countriesCooperation between 18 countries
The ESRF is a French company financed by 18 countries.Annual budget : 75 MEuro.
Budget breakdown %
France 27,5Germany 25,5Italy 15United Kingdom 14Spain 4Switzerland 4Benesync 6(Belgium, Pays-Bas)
Nordsync 4(Denmark, Finland, Norway, Sweden)
Scientific partners :Portugal 1Israel 1Austria 1Czech Republic 0,44Hungary 0,20Poland 0,60
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Accelerators and Experimental HallAccelerators and Experimental Hall
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Inside the Storage RingInside the Storage Ring
Focusingmagnets
Bending magnets
Insertion devices(undulators)
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Bending magnet
Wiggler
Undulator
SR sources and Spectra
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Figure of merit of the sourceFigure of merit of the source
BrillianceBrilliance ==(Photons/sec ) _(Photons/sec ) _
((mradmrad))2 2 (mm(mm22 source area)source area) (0.1% bandwidth)(0.1% bandwidth)
Present SR sources Present SR sources ~10~101010 times more brilliant than Xtimes more brilliant than X--ray generatorray generator
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Brilliance(photons/s/mm2/mrad2/0.1%BW)
1900 1920 1940 1960 1980 2000Years
Synchrotronradiation
Diffractionlimit
Thirdgeneration
Second generation
First generation
X-raytubes
ESRF (future)ESRF (2002)
ESRF (1994)
1020
1018
1016
1014
1012
1010
108
1021
1022
1023
1019
1017
1015
1013
1011
109
107
106
History of BrillianceFree electron
laserlasers
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A Typical BeamlineA Typical Beamline
Optics
Experiments
Control
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BeamlinesBeamlines
X-ray standing wavesanomalous scattering
small angle scattering
surface diffraction
optics
gamma spectroscopy
dultra-fast scattering/ high pressure
materials sciencecircular polarisation
microbeamprotein crystallography
inelastic scattering
medical
nuclear spectroscopy
microtomographye- topography
high energy
magnetic scattering
microfluorescence
dispersive EXAFS
multi-use
absorption spectroscopy
powder diffraction
spectroscopy on ultra diluted samplessi
protein crystallographye
X-ray microscopy
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SR features important for X-ray imagingSR features important for X-ray imagingHigh Flux monochromatic beam
Brilliance Real time experiments
weak signals
Coherence Phase contrast images
Coherent Diffraction Imaging
Tunability Use of absorption edges
Use of the best energy for a given experiment
The « divergence » of the beam to be considered is the angular size of thesource α = s/L, typically 10-4 m/ 102 m ~ 1 µrad
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COHERENCECOHERENCEWhen is When is a a beambeam «« coherentcoherent »»??
the SR source is not coherent
the SR beam is partially coherent
-- Temporal Temporal coherencecoherence finite bandwidth finite bandwidth of of the beamthe beamLongitudinal Longitudinal coherence length coherence length LLLL = = ½½ ((λλ22//ΔλΔλ))
-- Spatial Spatial coherencecoherence finite extentfinite extent in in spacespaceTransversal Transversal coherence lengthcoherence length LLTT = = ½½ (L(Lλλ/s)/s)
LL : source: source--toto--samplesample distance distance ss : source size: source size
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Young’s double slit experiment: the source is not a coherent one
ESRF ⇒ partially coherent beam
intensity
l
L
ssource
s size of the sourceL distance source-samplel slit separationλ wavelength of the radiation
transversal coherence length LLTT : LLTT = λL /2s
For visible light LLTT ∼ 1mmFor X-rays usually LLTT < 1 μmFor ID19, at the ESRF:L = 150 m, s ≈ 50 μm ⇒ LLTT ≈100 μm
screen
If screen is “far” and if l < dc ⇒ interference pattern
screen
If screen is very close ⇒ absorption image
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X-ray transmission imaging
Interaction of X-rays with matter: complex refractive index
n = 1 - δ + iβ
Absorption part expressed by β µ = 4π β/ λλ wavelength, µ linear absorption coefficient
Phase variation Δφ related to δ
Δφ = 2π δ t/ λ
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Index of refraction
n = 1- δ + iβ
Ratio phase and amplitude (δ/β) as a function of the X-ray
energy 10 1000 in the
hard X-ray range
enhanced sensitivity
ALUMINUM
CARBON
BERYLLIUM
LITHIUM
HYDROGEN
0XYGEN
3rd generation SR beams are coherent because the angular size of the source is very small
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Imaging with a parallel and extended beamthe spatial resolution is mainly a function of the detector
Imaging with a microbeam (« scanning »)the spatial resolution is mainly a function of the spot size
pixel size
What What type of type of imaging imaging do do we perform at we perform at SR sources?SR sources?
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Bragg diffraction imaging (topography, Rocking Curve Imaging)
Single-crystal sample
Analyzer based imaging (DEI, …)
Shows variations of density (index of refraction) through the refraction they entail
Important in medical imaging (cartilages, …)
Shows defects, domains, phases, … in the crystal through their associated variation of distortion
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PEEM imagingand, in addition,
Coherentdiffraction imaging…and all
combinations of imaging
techniques,which are not covered in this
introduction, but that you’ll see
during this course
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•• 1 1 –– Introduction: synchrotron radiation (SR) and imagingIntroduction: synchrotron radiation (SR) and imaging
•• 2 2 –– Basic InteractionsBasic Interactions
•• 3 3 –– Radiography Radiography
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Phase contrast imaging Phase contrast imaging
•• 7 7 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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Monochromatic beam, basic processes X-rays interactions with matter
Monochromatic beam, basic processes X-rays interactions with matter
Monochromatic beamMonochromatic beam: : electromagnetic transverse waves, electromagnetic transverse waves, k k = 2π/λ, λ= 2π/λ, λ ~ 1010--1010 mm
EE (keV) = (keV) = 12.412.4 / / λλ (Α)(Α)
AbsorptionAbsorption
Below E Below E ~ 100keV, mainly photoelectric effect100keV, mainly photoelectric effect
ScatteringScatteringElastic Elastic (Bragg diffraction, for instance)(Bragg diffraction, for instance)
Inelastic Inelastic (Fluorescence, for instance)(Fluorescence, for instance)
Refraction Refraction (actually related to scattering)(actually related to scattering)
λ
k
E
H
z kz
kz
°°
kz
r
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X-ray imaging utilizes several of the basic interactions of X-rays with matter
X-ray imaging utilizes several of the basic interactions of X-rays with matter
AbsorptionAbsorption ((mainly throughmainly through photoelectric effectphotoelectric effect on deep shell on deep shell electrons (K, L, M...)electrons (K, L, M...)))
FluorescenceFluorescence photonsphotonsRefractionRefraction (or, more generally, modification of wave front)(or, more generally, modification of wave front)Bragg diffractionBragg diffractionPhotoemissionPhotoemission……....
Ei
½ mv² = Ei-EK
EK K L
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Incident beam Transmission
Spectroscopied’absorption
échantillon
absorption
Electron
Changementd’énergie
The techniques : lightThe techniques : light--matter interactionmatter interaction
Sample Environment:- Temperature-Fields (E, H, ..) -Pressure
PhotoemissionPEEM
FluorescenceScanning Microscopy
MicroscopyImaging
Inelasticscattering
Elastic scatteringDiffraction
Diffraction Imaging
Absorption spectroscopy
sample
Change in energy
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•• 1 1 –– Introduction: synchrotron radiation (SR) and imagingIntroduction: synchrotron radiation (SR) and imaging
•• 2 2 –– Interactions and detectorsInteractions and detectors
•• 3 3 –– Radiography: absorption, phase Radiography: absorption, phase
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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Lambert-Beer Law:
∫ −= dxII
o
μexp
μ, absorption coefficient
Radiography
X-rays
Sample DetectorIo
Ix
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Using the absorption edges(« chemically selective radiography »)
Using the absorption edges(« chemically selective radiography »)
0,001
0,01
0,1
1
10
100
1000
20,00 40,00 60,00 80,00
energy (kev)
mu/
ro (c
m-1
)
wateriodine
A way to visualize a given element within a sample is to record 2 images, above and
below the element absorption edge, and to substract the
images.
The other elements display, for these two very close
energies, nearly the same absorption
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Medical imaging: angiography, first human patient at the ESRF (January 2000)
(courtesy
H. Elleaume
W. Thomlinson)
Right CoronaryArtery
Stent
Aortasubtraction of images recorded above and
below the “absorption edge” of iodine
BelowBelow AboveAbove
Dual Energy Imaging
Tissues display nearly the same absorption
iodine is seen
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Using the coherence of the beamUsing the coherence of the beam
Phase Sensitive Radiography: experimental layout
Depending on the distance D Absorption only“edge detection”
“hologram”
Phase Sensitive Radiography: experimental layout
Depending on the distance D Absorption only“edge detection”
“hologram”
sample
planemonochrom.wave absorption absorption + phase
Coherent beam
D
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Coherent beam Phase Contrast Imaging: enhanced sensitivity
Absorption Phase
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SRSR––based radiography as to investigate the porosity ofbased radiography as to investigate the porosity of
Shechtman, Blech and Gratias, 1984
→quasiperiodic translational order
→ orientational symmetries forbidden for crystals (fivefold for instance)
→ sharp diffraction patterns
Al Pd Mn displays unusually big pores
(~ 10µm)
quasicrystalsquasicrystals
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Phase Sensitive Radiography on a AlPdMn quasicrystal grain
Phase Sensitive Radiography on a AlPdMn quasicrystal grain
D = 1.3cm D = 10cm
• Resolution = 1µm λ = 0.35Å
D = 50cm
dodecahedron seen along the
2-fold axis
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Phase contrast imaging on fossil insects in 108 years old opaque ambers
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•• 1 1 –– Introduction: synchrotron radiation and imagingIntroduction: synchrotron radiation and imaging
•• 2 2 –– Basic InteractionsBasic Interactions
•• 3 3 –– Radiography: absorption, phase Radiography: absorption, phase
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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Medical Scanner
slice of matter within a “bulky object”
based on radiographs collected at various angles
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Specificity of SR Microtomography••parallel, coherentparallel, coherent, , monochromatic, high flux beammonochromatic, high flux beam
High spatial (0.5 High spatial (0.5 µµm) and temporal resolution, m) and temporal resolution, quantitative measurements, inquantitative measurements, in--situ, realsitu, real--time, imagestime, images
Rotation from 0 to 180 °, ~ 900 radiographs
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Microtomography: a multidisciplinary techniqueMicrotomography: a multidisciplinary technique
snow
felt
metalskulls
10 µm
Arabidopsis seed
human vertebra
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Tomography can reveal plastic strain field
Markers: Compression of Al/W sample:
Work performed at HASYLAB (Germany)S.F. Nielsen, F. Beckmann et al. Acta Mater. 51, 2407 (2003)
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Phase Contrast: Liquid FoamsPhase Contrast: Liquid Foams
Growth or disappearance of bubbles in a liquid foam in 3D(the “mousse au chocolat is an example of “liquid foam”)
F. Graner, P. Cloetens
E = 15 keV, Sample-detector distance: 0.15 m
1 mm
Phase enhancement to visualiseliquid films separating bubbles:Film thickness << voxel size
thin films
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Temporal evolution of a liquid foamTemporal evolution of a liquid foam
F. Graner, P. Cloetens
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Non destructive investigation of Cretaceous enigmatic tiny eggs from Thailand
Non destructive investigation of Cretaceous enigmatic tiny eggs Non destructive investigation of Cretaceous enigmatic tiny eggs from Thailandfrom Thailand
P. P. TafforeauTafforeau, E. , E. BuffetautBuffetaut
Dinosaur or bird ?
PALEONTOLOGY
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Phase imaging propagation technique
What is measured ∇2φ(y,z), phase φ second derivative
Phase retrieval integral (measurements at several distances)
Experimental result «local» φ (u,v)It can be shown that Δ φ with respect to a propagation in vacuum is
proportional to the local electronic density ρe φ ρe
holo-tomography
2) repeated for 700 views1) phase retrieval with 3-4 distances
D
((P. Cloetens P. Cloetens et alet al, APL 75, (1999) 2912), APL 75, (1999) 2912)
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Holotomography of semi-solidsP. Cloetens (ESRF), L. Salvo (GPM2, Grenoble)
Rheology of aluminium alloys in thesemi-solid state Al – Al/Si system
T
composition
L
S
L+S
Solidification
Partial remelting
Microstructuresolid fractionmorphology connectivity
Classical Models
liquid
solid
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Holotomography on an Al - Al/Si system
4 distances: absorption + 0.2 m, 0.5 m and 0.9 m800 angular positionsmultilayer as monochromator: total time ≈ 40 minutes
Rheology of aluminium alloys in the semisolid stateE = 18 keV
Absorption
β-map100 µm
edge enhancement
Direct Imaging
D = 0.6 m
Phase contrast
Al/Siδ-map
AlL. Salvo (GPM2, Grenoble) P. Cloetens (ESRF)
%2≈Δρρ
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Holotomography of semi-solidsVolume Rendering (solid transparent)
Connectivity:Liquid phase:
total+ trapped liquid
Solid phase:very strong
trapped liquidL. Salvo (GPM2, Grenoble) P. Cloetens (ESRF)
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•• 1 1 –– Introduction: synchrotron radiation and imagingIntroduction: synchrotron radiation and imaging
•• 2 2 –– Interactions and detectorsInteractions and detectors
•• 3 3 –– Radiography: absorption, phase Radiography: absorption, phase
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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Micro-Focussing DevicesMicro-Focussing Devices
Kirkpatrick-Baez mirror pair
Fresnel lens (zone-plate)
Capillaries
Refractive lens
Elliptically bentmirrors
(Kirkpatrick-Baez, KB)
< 0.1 x 0.1µm2 ~ 2 x 5 µm2
~ 0.1 x 0.1µm2
~ 1 x 1µm2
Focussing devices have dramatically progressed over the last years.
Coupling with the modern SR sources focus the beam to the sub-micron
size range
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Si driftdiode
Video µscope
Samplestage
CRL
PINdiode
Fixed-exitmonochromator
Beam
PINdiode
CCD
2Dslits
Flat mirror
Fluorescence tomographyEach element present in the sample, when irradiated by the synchrotron beam, re-emit X-rays with an energy that is a signature of the element
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The environmental risk of Cd in fly ashes depends on its speciation (oxidation state, association with other organic or inorganic compounds, …)
MC. Camerani Pinzani, A. Somogyi, A. Simionovici, S. Ansell, B.M. Steenari and O. Lindquist, Environmental Science and Technology (2002),
B. Golosio, A. Simionovici, A. Somogyi, MC. Camerani , B.M. Steenari J. Phys IV France (2003)
Content of heavy metals (i.e. Cd, Pb, Ni, Cu) makes fly ashes ecologically harmful
Contamination in fly ashes
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Investigation of individual fly ash particles: Fluo-tomography
Investigation of individual fly ash particles: Fluo-tomography
80
60
40
20
0
-20
-40
806040200-20-40
40x10-3
30
20
10
0
Ca80
60
40
20
0
-20
-40
806040200-20-40
3.0x10-3
2.0
1.0
0.0
Fe80
60
40
20
0
-20
-40
806040200-20-40
600x10-6
400
200
0
Cd
100
80
60
40
20
0
-20
-40
100806040200-20-40
1.2x10-3
0.8
0.4
0.0
Cd100
80
60
40
20
0
-20
-40
100806040200-20-40
600x10-6
400
200
0
Zn100
80
60
40
20
0
-20
-40
100806040200-20-40
0.20
0.15
0.10
0.05
0.00
Ca
elemental distribution within Slice1
elemental distribution within Slice2
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Investigation of individual fly ash particles: µXRD and µXASInvestigation of individual fly ash particles: µXRD and µXAS
Complex Cd-CaCd distribution independent from particle sizesCd in grain structure Cd in soluble form (Cd2+)
Zn
Cd
Co
Pb
Ca FeCl
Cu
Sr
350 μm
240 μm
Spot 1
Spot 2
26.7 26.8 26.9
fluor
esce
nce
(arb
. uni
ts)
Energy (keV)
Spot 2
Spot 1
• spot: 3 x 3 μm2
• E = 27 keV• dwell time:6 s/pt
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B. Golosio, et al., J. Appl. Phys. 94, 145-156 (2003) and Appl. Physics Letters, (2004),
3D rendering, fly ash particle
transmission tomography
distribution of Rubidium (red),Manganese (brown) and Iron(blue)
. Voxel size 3×3×3 μm3.
Fluotomography 3D rendering of a fly ash
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•• 1 1 –– Introduction: synchrotron radiation and imagingIntroduction: synchrotron radiation and imaging
•• 2 2 –– Basic Interactions and detectorsBasic Interactions and detectors
•• 3 3 –– Radiography: absorption, phase Radiography: absorption, phase
•• 4 4 –– MicrotomographyMicrotomography
•• 5 5 –– MicrobeamMicrobeam--based techniquesbased techniques
•• 6 6 –– Bragg diffraction based techniques Bragg diffraction based techniques
(DEI, (DEI, ““topographytopography””, diffraction tomography), diffraction tomography)
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Imaging techniques involving Bragg diffractionImaging techniques involving Bragg diffraction
Diffraction Enhanced imaging, where an « analyzer » perfect crystal is used to map the amount of refraction of the beam transmitted through a
sample (more tomorrow in Alberto Bravin’s talk)
Bragg diffraction imaging, which shows defects or domains in single crystals (more tomorrow in José Baruchel’s talk)
Diffraction contrast tomography, which provides the shape and orientation of crystallites within a polycrystal (more tomorrow in
Wolfgang Ludwig’s talk)
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Diffraction Enhanced Imaging Technique
sample
monochromatic SR X-rays crystal analyzer
sample
detector
Crystal acts as an angular filter of the radiation coming from the sample
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Why focusing on cartilage joint diseases(in particular osteoarthritis) ?
Osteoarthritis (OA) is one of the leading causes of disability; people with OA usually have joint pain and limited movement (stiffness)
OA affects approximately 12% of the population
(in USA, Japan, France, Germany, Italy, Spain, and the UK)
Cartilage degeneration process - grading system
0&1 2 3 4
As OA presently has no cure, treatment strategies focus on treating the disease symptoms with minimal side effects.
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Conventional radiology limitationsConventional radiology limitations
Normal Ankle
Conventional radiographs do not show cartilage;joint space narrowing is evaluated by proximity of bones
•
Osteoarthritic Ankle
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a b c d
e
MRI (T1-TFE) >5h DEI
histology
Cartilage damage
DEI shows structural damage of cartilage invisible in MRI and CT
MRI (T1-FFE) >5h Conventional CT
Wagner, …, Coan, Bravin, Mollenhauer Nucl. Instr. Meth. A 548, 47-53 (2005)
DEI vs conventional techniquesDEI vs conventional techniques
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historically calledhistorically called
XX--ray topographyray topography
2-D detector
crystal
wide incoming beam
crystal
intensity
“contrast”
defect
XX--ray diffraction imagingray diffraction imaging
based on Bragg diffractionbased on Bragg diffractionthat applies to single crystalsthat applies to single crystalsshows the inhomogeneities within the crystal shows the inhomogeneities within the crystal
Defects, distortions: Defects, distortions: dislocations, twins, domain walls, dislocations, twins, domain walls, inclusions, impurity distribution,inclusions, impurity distribution, ……bending, acoustic wavesbending, acoustic waves……
is an imaging techniqueis an imaging technique
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..
Usual setup for Laue technique, but incoming “white” beam iswide, illuminates all or a substantial fraction of the sample
low divergence , small angular size of the source seen from the sample
each Laue spot is a Bragg diffraction image that allows
observing, when looking inside the spot, inhomogeneities like
defects, domains, phases…
Beam stop
Detector
Incident beam
Laue imaging (“white beam topography”)
Single crystal sample
h k l
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How a XHow a X--ray topograph may look like:ray topograph may look like:
1mmh
Twin boundary
inclusion
dislocations
White beam topograph of a Si crystal containing oxygen, after a thermal treatment inducing precipitates, dislocations and twin boundaries
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New 3D approach: “topo-tomography”
Ludwig, Poulsen, Schmidt, Lauridsen et al.
Basic idea: µ = µabsorption
I = I0e− μt∫� �
��
+ + μdiffraction
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Topo-Tomography applied to Polycrystals
100 µm
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diffracted beam
direct beam
Topo-Tomography: data acquisition
100 µm
QuickTime™ and a decompressor
are needed to see this picture.
QuickTime™ and a decompressor
are needed to see this picture.
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Topotomography
Reconstruction from diffracted beam (180 projections)
Reconstruction from direct beam (720 projections)
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3D reconstruction (cone beam algorithm)
3D reconstruction (cone beam algorithm)
Diffracted beam Direct beam
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Grain by grain reconstructionGrain by grain reconstruction
200 µm
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Summary and ConclusionSummary and Conclusion« X-ray Imaging » , series of (rapidly evolving) techniques which
apply to a large variety of topics
In particular in its 3D version, has biomedical and material science applications at a large variety of scales
The coherence of the beam adds new possibilities
High spatial and time resolution are useful for many of the problems encountered
Images contain a lot of information
The scientific use this information implies an accurate knowledge of the contrast mechanisms, and (often) image
processing
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Thank you
for your attention