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SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Andreas Wagner Nuclear Physics Division Institute of Radiation Physics
Positron-Annihilation Lifetime Spectroscopy for Materials Science
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
• Motivation Positron Annihilation & Materials Science
• Positron sources From reactors to radio-isotopes to LINACs
• Pulsed beams: annihilation lifetime spectroscopy for thin films, bulk materials, fluids, and gases
MePS – the Monoenergetic Positron Source GiPS – the Gamma-induced Positron Source
• Some apps porous glasses w/ D. Enke (Univ. Leipzig, D) low-k dielectrics w/ A. Uedono (Univ. Tsukuba, JP) MnSi skyrmion lattices w/ C. Hugenschmidt (TU Munich & FRM) 3D tomography w/ some medical physicsts
Outline
Courtesy: R. Krause-Rehberg / M. Butterling
Page 2
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Fate of positrons in matter
Positrons slow down to thermal energies in 3-10 ps. After diffusing inside the matter positrons are trapped in vacancies or defects.
Kinetics results in trapping rates about 105 times larger than annihilation rates: defect concentrations down to 10-7 are accessible.
e+
free
trapped
self
capture
self
spin-flip
para-Ps
ortho-Ps
2 g
2 g
2 g
2 g
3 g
2 g
0.2 ns
0.5 ns
0.125 ns
1.0 ns
142 ns
1.0 ns
insulators voids
metals (screening)
Page 3
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Typical types of defects in condensed matter
grain boundaries
dislocations (cluster) vacancies
impurities decorated vacancies
Page 4
- Local electron density changes at defects - Lack of positively charged nucleus causes trapping
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Positron trapping model
Page 5
- Measurement of decay lifetime is characteristic for defect type - Intensity is sensitive to defect concentration
defect-free bulk
annihilation radiation
defect λbulk
λdefect
κdefect
201
02
2
1
2
2
1
1
1
1
)(
21
III
II
eI
eI
N
nndt
dn
ndt
dn
defectdefectbulk
defect
defect
defectbulk
tt
annih
bulkdefectdefectdefect
defect
bulkdefectbulkbulk
defect lifetime
reduced bulk lifetime
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Sensitivity limits
Positron Annihilation Lifetime Spectroscopy
x-ray scattering
optical micro-scopy
n- scatt.
STM/AFM
TEM
optical micro- scopy
TEM
x-ray scattering
n-scatt
Positron Annihilation Lifetime Spectroscopy
STM/AFM
Page 6
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Depth distributions for mono-energetic e+
Page 7
10 keV 5 keV
3 keV
1 keV
Positron diffusion can be described as random-walk problem with dominant scattering from longitudinal acoustic phonons (in semiconductors and with T < 300 K). Positron trapping or positron annihilation stops further diffusion. Internal electric fields may significantly change diffusion (Fokker-Planck).
surface bulk film substrate
Positron depth in Si
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Sources? Isotopes, reactors, accelerators …! Production of positrons in weak interactions (mediated by W’s)
proton
neutron 27Al(p,n)27Si(β+νe, 4.2 s) 27Al (u d d)
(u d u)
νe e+
W+
Sumitomi Heavy Industries Cyclotron 18 MeV protons, 50 µA beam current
Page 8
22Na(β+νe, 2.6 a) 22Ne
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Sources? Isotopes, reactors, accelerators…! Production of positrons through electromagnetic interactions (photons)
e- e+
γ
e-
e-
Use intense source of photons for pair production Capture-neutron gamma-rays from reactor 113Cd(n,γ)114Cd
FRMII Munich KUR Kyoto TU Delft Mc Master North Carolina
AIST, Tsukuba, Japan ELBE, Dresden
Bremsstrahlung from electron accelerators (AIST/Tsukuba, HZDR Dresden) or upcoming high power lasers (Changsha/Wuhan, Osaka/Hyogo, ELI-NP Bucuresti)
Page 9
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
SC-LINAC in CW mode EPOS facility
38 ns / 26 MHz
~ 2.8 GHz / 1 µs / 100 Hz / 10 µA
Positrons from accelerators NC-LINAC in bunched mode
e+
converter
moderator linear storage
chopper buncher A buncher B
sam
ple
1 µs 10 eV 3 ms 5 ns 2 ns 250 ps
e- converter
moderator magnetic transport
chopper buncher
sam
ple
10 ps 2 keV 2 ns 250 ps
e-
e+
Page 10
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
1.6 mA, 40 MeV (64 kW) CW electron accelerator
coherent IR-radiation 3 – 230 µm
coh. THz radiation 100 µm – 3 mm
electrons 34MeV radiation biology
detector tests
Bremsstrahlung 16 MeV
Gamma-induced Positrons
pulsed, mono-energetic positrons 0.2 – 20 keV
Positrons from accelerators
SPONSOR: mono-energetic positrons 0.2 – 30 keV
from 22Na
Page 11
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
mode
High-frequency standing-wave mode with 1.3 GHz corresponding to unit cell length of 11.5 cm.
74,0 W250
mA 1keV 250
P
I
E
1kW 20
mA 1MeV 20
P
I
E
1.8 K LHe tank with LN2-cold shield and super-insulation
Superconducting Accelerator Structures
Page 12
Superconducting niobium resonators developed by TESLA Technology Collaboration. Used in FLASH, XFEL,
H. Büttig, et al., Nucl. Instr. Meth. B 704 (2013) 7
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
The Mono-energetic Positron Source MePS
Page 13
SC-LINAC beam • 30 MeV, 0.1 mA • 1.625 MHz repetition rate
615 ns spacing
2 keV magnetic transport system
4 ns chopper 78 MHz buncher
post-accelerator -1.5 … +20 kV
sample
20 cm Pb + 3.2 m concrete shielding
max 2.5 kV/cm max 500 V/cm
30% HPGe detector for DBS BaF2 detector for PALS
Flux: 1.2·106 e+/s on sample
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Accelerators can produce intense and pulsed slow positron beams. LINear ACcelerators have some advantage due to their high beam power and time structure.
Converter issues
A) normal conducting LINAC E ~ 50 MeV Ipeak ~ 100 mA beam power tbunch ~ 1 µs 500 W frep ~ 100 Hz
B) superconducting LINAC (HZDR) E ~ 35 MeV Iaverage ~ 100 µA beam power frep ~ 1 - 10 MHz 3500 W
sophisticated converter designs and heavy shielding needed
stack of 50 x 100 µm thick W foils
Water-cooled electron to bremsstrahlung converter
Page 14
nELBE photoneutron source: LPb loop (450°C) can take 50 kW power in ~ 1cm3
e+
converter
e-
moderator
e+
A.R. Junghans, et al., Nuclear Data Sheets 119 (2014) 349
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
The Mono-energetic Positron Source MePS
Page 15
PALS (BaF2, plastic scint.)
DBS (HPGe)
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
MePS – PALS timing resolution
Page 16
Lifetimes of Silicon (218 ps) and Yttria-stabilized Zirkonia can be reproduced, timing resolution is 230 ps with an additional (and stable) lifetime component of 720 ps. Signal to noise ratio: 5·105
Si YSZ
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Experiments at MePS – porous glasses D. Enke, G. Dornberg (U Leipzig): Porous glasses feature a tunable pore width and adjustable surface properties for membranes, chemo-sensors, drug delivery, optical coatings, etc.
Stimulated phase separation in sodium borosilicate glass into silica and an alkali borate phase generates sponge-like porous structures with unknown porosity. H. Uhlig, G. Adouane, C. Bluhm, S. Zieger, R. Krause-Rehberg, D. Enke, J. Porous Materials 23 (2016) 139
Page 17
20 µm
glass beads
thin film thin film
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Experiments at MePS – porous glasses Annihilation lifetime experiments reveal depth dependent pore size distributions.
Pore sizes according to modified Tao-Eldrup model by K. Wada and T. Hyodo, JPhysG 443 (2013) 012003.
Page 18
2.6 nm
1.8 nm
1.3 nm
1.0 nm
5.0 nm
245
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Experiments at MePS – porous glasses Effect of tempering -> unexpected reduction of porosity.
Page 19
2.6 nm
1.8 nm
1.3 nm
1.0 nm
5.0 nm
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
MePS – low-k SiO2 Nano-porous organo-silicate glasses
Depending on the specific treatment processes nano-porous structures can be stabilized or not. A. Uedono et al., Appl. Surf. Science 368 (2016) 272
Page 20
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Future work in films – In-situ AIDA
Page 21
Gas loading reactor 20 bar 77 – 900 K
XPS analysis unit
Climate chamber
Motivation • Hydrogen loading and
deloading process, e.g. Hao et al, J. Phys. Chem. Lett. 1 (2010) 2968
• Hydrogen storage capacity: decoration of defects, e.g. J. Cizek et al., Phys. Rev. B 79 (2009) 054108
• Magnetic properties and open volume defects in Fe60Al40 M.O.Liedke, et al., J. Appl. Phys. 117 (2015) 163908
Duoplasmotron N, O, H < 30 keV 2 mA
Raman spectrometer
e-beam evap. Fe, Co, Ni, Au, Ag, Cr, Pt, Mo
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Future work
Page 22
High-voltage cage on top of MePS
UHV system at the 6 MV ion beam for H-depth profiling
XPS analysis and PALS chamber
@KEK
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
What about bulk materials, fluids, gases, or biological stuff …?
e- converter
moderator magnetic transport
chopper buncher
sam
ple
10 ps 2 ns 100 ps
e- radiator
γ
10 ps
sam
ple
e-
e+
10 ps
GiPS The Gamma-induced Positron annihilation Spectroscopy
e+
Page 24
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Positron beams for material research
Nb foil: 10-3 X0
ps 10σMHz 26fµA 900I
MeV 16E
t
e
e
photon beam 2 cm diameter 108 cm-2 s-1
Annihilation Lifetime Spectroscopy (Coincidence) Doppler Broadening Age-momentum Correlation
Positron production using electron-bremsstrahlung
F.A. Selim, et al. Nucl. Instr. Meth. A 495 (2002) 154 M. Butterling, et al., Nucl. Instr. Meth. B 269 (2011) 2623 Y. Taira, et al., Rad. Phys. Chem. 95 (2014) 30
studies performed so far: - animal tissue - semicondudtors, alloys (ZnO, MnSi) - (neutron-activated) reactor materials - water, glycerol from 10°C to 100°C
Page 25
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Positrons: backgnd for nuclear physics exp’ts
Seite 26
Hard bremsstrahlung produces a huge amount of positrons via pair production inside the target material. High-energy photons act as a volume source of positrons throughout the entire volume.
Kapton at 16 MeV electron energy
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
science cases
Page 27 Page 27
• porous glasses D. Enke (U Leipzig) • Si nano-channels R. Brusa (U & INFN Trento, I) • low-k dielectrics A. Uedono (U & AIST Tsukuba, JP) • low-k dielectrics E. Zschech (TU & IKTS Dresden) • low-k dielectrics N. Köhler (TU & ENAS Chemnitz) • reactor pressure vessel steel F. Bergner (FWI) • ZnO luminescence and scintillation F. A. Selim (U Bowling Green, OH) • MnSi skyrmion lattices C. Hugenschmidt (TU & FRM Munich)
S. Mühlbauer, C. Pfleiderer, et al., Science 323(2009)915
MnSi shows spontaneously formed and topologically stable magnetic vortices. Defect identifications and concentrations in Mn1+xSi published in: M. Reiner, et al., Scientific Reports 6(2016)29109 19 nm
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
• porous glasses D. Enke, U Leipzig • Si nano-channels R. Brusa, U & INFN Trento, I • low-k dielectrics A. Uedono, U & AIST Tsukuba, JP • low-k dielectrics E. Zschech, TU & Fraunhofer IKTS Dresden • low-k dielectrics N. Köhler, TU & Fraunhofer ENAS Dresden • reactor pressure vessel steel F. Bergner, HZDR • ZnO luminescence and scintillation F. A. Selim, U Bowling Green, OH • MnSi skyrmion lattices C. Hugenschmidt, TU & FRM Munich
science cases
Page 28 Page 28
Green luminescence in ZnO results from defects (both Zn and O vacancies) passivated by hydrogen. Very fast scintillation lifetimes obtained! Published in: J. Ji, et al., Scientific Reports 6(2016)31238
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
High resolution lifetime spectrum with signal to noise ratios of better than 105:1 using gamma-gamma coincidence techniques for background reduction. Lifetime spectra are free from artefacts. → Long lifetimes reveal atomic defects caused by neutron-induced damage. → Can (and how) defects be removed by thermal annealing?
conventional LINAC mode pulsed RF, highest energy typically pile-up problems F.A. Selim, D.P. Wells, J.F. Harmon, et al. Nucl. Instr. Meth. A 495 (2002) 154 SC-LINAC in CW mode highest average power – high yield and low pile-up
38 ns / 26 MHz
~ 1 µs / 100 Hz
Intrinsic radioactive materials: RPV steels
Page 30
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Physics with GiPS: RPV steel Reactor vessel steel becomes brittle due to neutron-induced defects like open-volume defects seeding cracks.
→ Preferential formation of double vacancies → Thermal annealing (290°C) not sufficient to remove defects!
Collaboration with Reactor Safety Division at HZDR. To be published …
Page 31
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Physics with GiPS: Kapton®
Annihilation lifetime in Kapton has been under debate for quite some time - > get a measurement without source correction.
→ consistent single positron lifetime of (381 ± 1) ps two components show larger χ2
applied cuts on Germanium and BaF2 detector energy signal reduce background from interactions outside the sample
Kapton
Page 32
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Physics with GiPS: Fluids Conventional lifetime measurements: → dissolve 22Na and dispose it afterwards Positrons from bremsstrahlung → homogeneously distributed, sharp time stamp Target is temperature-stabilized, continuously circulated, degassed, dry-nitrogen flushed.
Positron Physics Ortho-Positronium (o-Ps) in a fluid forms a bubble given by its zero-point energy and the surface tension. We know estimate the change of the o-Ps pick-off annihilation lifetime with temperature in a bubble created by the o-Ps itself…. R.A. Ferell, Phys. Rev., 108,167, 1957 S.J. Tao, J. Chem. Phys., 56,5499, 1972 M. Eldrup et al., Chem. Phys., 63,51, 1981
fluid
e+
e-
142 ns
125 ps
o-Ps
p-Ps
Page 33
Kapton tube target
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association Page 34
Physics with GiPS: Fluids
e+
e-
fluid
20
22
20
2
0
0
0
2
48
sin
2
rmrm
hE
kr
krkrj
krjRrR
rR
ErUm
ePs
l
Ps
stationary Schrödinger eqn.
Ansatz: spherical Bessel fct.
zero-point energy
1st non-trivial solution
A 06.14
A 3.416
082
0
4
22
20
0
4
2
0
030
22
00
20
cm
c
ema
mr
rrm
EEr
rE
e
e
surf
surf
°
°
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Physics with GiPS: Positron(-ium) Chemistry Experiments with water are in variance with a simple bubble-type model. Extension: chemical reactions between radiolysis products of the slowing-down of the positron → Ps chemistry.
→ Radicals are positron scavengers which reduce annihilation lifetimes. → Extended bubble model including chemistry [S.V. Stepanov et al., Mat. Sci. Forum 607] and energetics of hydrated e+
aq and e-aq (what are the
relaxation times of un-/polar media?) → Chemistry of radiolysis directly accessible since the probe creates the ionization itself
Courtesy: Maik Butterling, S V.Stepanov
Page 35
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Towards imaging of defects / porosity Material failures impose a significant threat to the integrity and the safety of technical systems. A thorough understanding of the microscopic origin and the development of defects requires advanced methods.
… early days of material analysis … and the quests of today
Page 36
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Motivation Establish a non-destructive and non-intrusive method which allows for spatially resolved positron-lifetime spectroscopy. Reconstruct PET-like images plus positron annihilation lifetime. Possible Applications (list not complete): • Porosimetry • Medicine in-beam positron lifetime spectroscopy during hard x-ray
tumor therapy • Engineering pre-failure diagnostics of micro fractures
fuel rod inspection
APS Physics & Society Newsletter 2011. R. Hargraves, R. Moir
Page 37
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Prerequisites • Intense source of positrons with deep penetration (cm) ≈15 MeV X-rays • Accurate time-stamping of positron creation (<10 ps) CW LINAC • Position-sensitive positron detectors (mm) Siemens LSO PET • Time-resolution for lifetime spectroscopy (~100 ps) in-house (physics) • Efficient data acquisition in-house (physics) • 3-D image reconstruction in-house (medicine)
e-
e-
sample
Gamma-induced Positron Spectroscopy
Page 38
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Towards 2/3-D positron lifetime tomography • Two position-sensitive photon detectors with 169 elements each
LSO-based commercial 13x13 PET pixel detector
4 mm x 4 mm x 20 mm LSO crystals
• Each crystal array read out using 4 PMT • Summed PMT signal -> gamma energy • Correlation of individual PMT signals ->
position • Positron annihilation time given by sum
over all 8 PMT involved
Lutetium oxyorthosilicate Lu2SiO5:Ce
courtesy: university hospital Dresden ©Siemens
Page 39
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Bremsstrahlung beam
γ
0° 180°
3D reconstruction
Fe
Cu
Al
PTFE
γ
3D tomography applied for the first time using bulk volume positron production. Target is rotated in 2 deg. steps and the image is reconstructed using a cubical (30 mm)3 voxel space and back-projection algorithm.
Page 44
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Copper
Aluminium
Steel
Maximum Likelihood Expectation Maximization Iterative method for image reconstruction based on a algorithm developed in PET [L.A. Shepp, Y. Vardi, IEEE-MI 2 (1982) 113]. Solves the inversion problem numerically where one
has a system matrix M, an a-priori unknown source
distribution s and a measured distribution r.
rsM ˆ The system matrix has a size of 132 x 132 x 180 x 303 = 138 x 109.
all prompt long step 1
Page 45
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
2nd Iteration
all prompt long
Copper
Aluminium
Steel long gate
short gate
step 2
MLEM
Page 46
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
5th Iteration
all prompt long
Copper
Aluminium
Steel
step 5
long gate
short gate
MLEM
Page 47
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
10th Iteration
all prompt long
Copper
Aluminium
Steel
step 10
long gate
short gate
MLEM
Page 48
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
20th Iteration
all prompt long
Copper
Aluminium
Steel
step 20
long gate
short gate
MLEM
Page 49
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
all prompt prompt / all
Copper
Aluminium
Steel long gate
short gate
MLEM
Page 50
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
all prompt prompt / all
Copper
Aluminium
Steel
MLEM Gating on positron lifetimes with 225 ps timing resolution. Now the Al is clearly discriminated against the surrounding Teflon.
Page 51
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Courtesy: Jochen Wosnitza
Lifetime-sensitive analysis B-field coil
Cut through the record coil which reached 91.4 T peak field. Coil is fed by the world’s largest capacitor bank w/ 50 MJ stored energy.
Page 52
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Copper
Zylon® Teflon
Tomography: B-field coil
48 h measurement time, 316 GB, 1.6 G events 324 M filtered coincidences
y
x z
Page 53
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Lifetime-sensitive analysis: B-field coil
Page 54
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association
Lifetime-sensitive analysis: B-field coil
Now, we select specific voxels and determine the annihilation lifetimes for spatially separated regions. Since the voxel is identified as an ensemble over all possible lines-of-response between two detector crystals, the lifetime distribution is a convolution as well. Some real physics questions needed …
τ = 1.48 ns
Page 55
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association Page 56
Credits Helmholtz-Zentrum Dresden-Rossendorf W. Anwand, M. Butterling#, T. E. Cowan*, J. Ehrler*, M.O. Liedke, K. Potzger, T.T. Trinh*, A.W. *also at Technische Universität Dresden #now at TU Delft and many collaborators S.V. Stepanov, D.S.Zvezhinskiy (ITEP, MEPhI) e+ chemistry C. Hugenschmidt, M. Reiner (TU Munich) skyrmion-lattice MnSi F. Selim (U Bowling Green) ZnO luminescence M. Kraatz, E. Zschech (Fraunhofer IKTS) low-k dielectrics A. Uedono (Univ. Tsukuba) low-k dielectrics R. Brusa, L. Ravelli (Univ. Trento) nano-Si for anti-matter D. Enke, G. Dornberg (Univ. Leipzig) porous glasses for catalysts Funding provided by BMBF (05K2013) and the Helmholtz Energy Materials Characterization Platform
Martin-Luther-Univ. Halle-Wittenberg
R. Krause-Rehberg, A. G. Attalah, M. Elsayed, E. Hirschmann, M. John, M. Jungmann, A. Müller
SIP-IMASM Symposium, Tsukuba, JP 27.-30.9.2016 | Andreas Wagner I Institute of Radiation Physics I www.hzdr.de
Member of the Helmholtz Association Page 57
Positron Studies of Defects 2017 domo
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