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Wir schaffen Wissen – heute für morgen
15.10.2015
Vladimir	Krsjak,	Yong	Dai	
17th International Conference on Fusion Reactor Materials,
October 11th - 16th, 2015, Aachen, Germany
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 2
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 3
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
We	have	only	a	limited	spa1al	resolu5on	and	sensi5vity	(to	helium)		
with	most	experimental	methods	(TEM).	
1)  requirement	 of	 reliable	 accelerator-driven	 systems	 (ADS)	 for	 an	 effec1ve	
transmuta1on	of	long-lived	radioisotopes	in	nuclear	fuel;	
2)  requirement	of	affordable	neutron	sources	for	neutron	scaIering	and	imaging	
techniques;	
3)  requirement	of	irradia5on	facili5es	that	enable	greatly	accelerated	irradia1on	
studies	with	fusion-relevant	transmuta1on	rates.		
Neutron	produc1on	in	spalla5on	reac5ons	is	always	accompanied	
by	the	emission	of	light	charged	par5cles.	Small	atoms	like	H	or	
He	have	a	profound	effect	on	material	proper1es	
4
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
C.	Vieh,	PhD	Thesis,	2015,	EPFL,	Lausanne	 H.	Ch.	Andersen,	The	Princess	and	the	pea,	1835	
STEM/EELS:	 Only	 a	 weak	 fingerprint	 of	 helium	 can	 be	 seen	 in	 the	
EELS	 spectrum.	 Moreover,	 this	 approach	 is	 limited	 by	 the	 TEM	
resolu1on	to	rela1vely	large	He	bubbles	(>2nm).		
5
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
C.	Vieh,	PhD	Thesis,	2015,	EPFL,	Lausanne	 H.	Ch.	Andersen,	The	Princess	and	the	pea,	1835	
STEM/EELS:	 Only	 a	 weak	 fingerprint	 of	 helium	 can	 be	 seen	 in	 the	
EELS	 spectrum.	 Moreover,	 this	 approach	 is	 limited	 by	 the	 TEM	
resolu1on	to	rela1vely	large	He	bubbles	(>2nm).		
6
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
Severe	displacement	damage,	large	He	bubbles;	He	
bubbles	 can	 be	 well	 characterized	 by	 TEM	 and	
STEM/EELS;	Lot	of	experimental	data	–	good	level	of	
understanding	
~20	dpa	
~10	dpa	
Intermediate	 damage,	 small	 helium	 bubbles;	
quan1ta1ve	 characteriza1on	 by	 TEM;	 limited	
informa1on	on	helium	–	good	level	of	understanding	
Early	 stage	 displacement	
damage,	 He-V	 clusters;	
almost	 no	 experimental	
d a t a	 f ro m	 el ect ro n	
microscopy	techniques	
~5	dpa	
7
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
PAS	
1mm	
Positron	annihila1on	spectroscopy	provides	
nanoscale	informa1on	from	a	macroscopic	region	
Resolu1on/sensi1vity	
0.1nm	
vacancies	
1nm	
vacancy	clusters	
100nm	
precipitates	
Size	of	the	inves1gated	region	
1nm	10nm	100nm	1000nm	
HR	TEM	
Atom	Probe	
TEM	
10nm	
cavi1es	
8
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
PAS	
1mm	
Positron	annihila1on	spectroscopy	provides	
nanoscale	informa1on	from	a	macroscopic	region	
Size	of	the	inves1gated	region	
100nm	1000nm	
TEM	
9
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 10
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
sample	
Photons	
(XRD,	EDS)	
Electrons	
(SEM,	
TEM)	
Positrons	
(PALS,	
CDBS)	
Neutrons	
(SANS.	
Diffr.)	
Protons	
(PIXE)	
Muon	
(mSR)	
11
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
Self-Seeking	
(positrons	diffuse	typically	~100nm	in	metals	and	seek	sites	
with	 higher	 positron	 affinity	 than	 bulk	 i.e.	 it		
is	aIracted	by	certain	type	of	defects!)	
Defect type
Sensitivity range (detection limit vs.
saturated trapping)
neutral vacancies 5×1021... 1025 m-3
dislocations 1012 ... 5×1015 m-2
precipitates (r=2 nm) 1020 ... 1023 m-3
grain boundaries 5 µm ... 200 nm (particle size)
microvoids (>50 atoms) 1020 ... 5×1023 m-3
Sensi1ve	to	H	and	He.	
H	and	He	presence	in	defects	affect	positron	life1me	and	
changes	the	electron	momentum	distribu1on	
Macroscopic	samples	
Informa1on	on	sub-nm	scale	features	from	a	large	volume	
(few	mm3)	
Sensi1ve	
12
Coincidence	
Doppler	
Broadening	
Spectroscopy	
Energy	
E0	=	511keV	
Positrons	annihilate	mainly	with	the	electrons	of	the	
outermost	shell	due	to	the	repulsion	of	the	nucleus.	
Such	 annihila1on	 results	 in	 Eγ	 ≅	 511keV.	 But	 the	
annihila1on	occurs	also	with	core	electrons	(electrons	
with	higher	momentum).	Such	annihila1on	leads	to	a	
devia5on	in	the	energy	of	annihila1on	gamma,	which	
is	 propor5onal	 to	 the	 momentum	 of	 the	 electron-
positron	pair.		
Aeer	thermaliza1on	(~	3ps),	positrons	diffuse	through	
the	lafce	un1l	trapping	/	annihila1on.	Diffusion	5me	
and	trapping	rate	are	a	func5on	of	the	microstructure	
and	they	can	be	measured.	
Two	techniques	of	positron	annihila1on	
spectroscopy,	based	on	different	physical	
principles,	have	been	widely	established	
in	material	research.	
Positron	
Annihila5on	
Life5me	
Spectroscopy
Doppler	Broadening		
(gamma)	Spectrometer	
Life5me	spectrometer
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
Positrons are obtained for laboratory setups usually by the β+ decay of isotopes 22Na, 64Cu
or 58Co
22Na → 22Ne + β+ + νe + γ(1.27MeV)
-  22Na positron source - continuous spectra
0 – 545 keV
-  correspondent depth in bcc iron 0 – 130 µm
545 keV
↓
3+
2.602 y
2+
1274
γ 1274
keV 0
3.7 ps
stable 0
22Ne
22Na
β- (0,1%)
E.C. (9,5%)
β+ (90,4%)
Physical Half-Life: 2.602 Years
15
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 16
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
T91 irradiated in BR2 reactor
at the SCK CEN, Belgium
T91 irradiated at SINQ
22Na	 was	 found	 in	 all	 spalla1on	
samples	 of	 ferri1c/martensi1c	
steels	but	its	ac5vity	is	too	low	to	
enable	 reasonable	 experiments.	
There	is	however	another	suitable	
positron	 source	 in	 all	 spalla1on	
steel	samples.	
17
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
44Ti	isotope	is	a	product	of	
56Fe(p, x) reaction and it is
present in all STIP samples of
steels	 Gamma	emiIed	
together	with	
positron	
18
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 19
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
Benefits	of	using	internal	44Ti/44Sc	source:	
	
	
-	 The	 44Ti/44Sc	 source	 has	 a	 much	 longer	 half-life	 (59.6	 y)	
which	ensures	a	long-term	stable	produc1on	of	positrons.	
-  Homogeneous	probing	of	the	whole	bulk	
-  No	surface	treatment	required	
-  There	are	prac1cally	no	limita1ons	as	regards	the	sample	
size	and	shape.	
-  Methodology	 is	 suitable	 for	 very	 ac1ve	 samples	 (60Co	
ac1vity	is	usually	equal	or	lower	than	44Ti	ac1vity).	
20
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
Benefits	of	using	internal	44Ti/44Sc	source:	
	
	
-	 The	 44Ti/44Sc	 source	 has	 a	 much	 longer	 half-life	 (59.6	 y)	
which	ensures	a	long-term	stable	produc1on	of	positrons.	
-  Homogeneous	probing	of	the	whole	bulk	
-  No	surface	treatment	required	
-  There	are	prac1cally	no	limita1ons	as	regards	the	sample	
size	and	shape.	
-  Methodology	 is	 suitable	 for	 very	 ac1ve	 samples	 (60Co	
ac1vity	is	usually	equal	or	lower	than	44Ti	ac1vity).	
21
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 22
Materials: 	(EM10,	CLAM,	Eurofer	97,	F82H,	Op1fer,	
	 	MA956,	Eurofer,	ODS	Eurofer,	T91	…)	
	
	
	
Irradia1on	doses:	(5	–	21dpa)	
	
Irradia1on	temperatures:	(100	–	600°C)	
	
Annealing	temperatures:	(200	–	800°C)
V. Sabelova et al. J. Nucl.
Mater. 450 (2014) 54–58
Helium	 introduces	 a	 dis1nct	 peak	
in	the	momentum	spectra	around	
7×10-3	 m0c.	 In	 the	 conven1onal	
approach	 with	 the	 W	 parameter	
set	 to	 15-25	 m0c,	 He	 effect	 is	
prac1cally	invisible.	
The	 dis1nct	 peak	 appears	 in	 the	
experimental	spectra	at	the	stage	
when	 we	 expect	 a	 maximum	
concentra1on	 of	 He	 in	 vacancy	
clusters	(He/V	=	max.)	
V. Sabelova et al. J. Nucl. Mater. 458 (2015) 350–354
Simula1on	
Experiment
CDB	 ra1o	 curve	 of	 the	 SINQ-
irradiated	 F82H	 steel	 annealed	 at	
400°C	to	the	electron-irradiated	F82H	
steel.	
K. Sato et al. J. Nucl. Mater. 2015, in
press, corrected proof
Positrons	get	trapped	at	the	
vacancy	clusters	containing	helium
V. Krsjak et al, J. Nucl. Mater 456 (2015) 382-388
A	good	correla1on	between	PALS	and	CDBS	results		were	observed	in	all	samples	
Optifer IX – STIP II
Large defects
Small defects
Lifetime spectra decomposition to 1 or 2
defect components.
(Two defect components of STIP II Optifer IX)
Saturated positron lifetime for an
empty vacancy cluster
He/V = 0.5
He/V = 1
He/V = 2
Troev et al. 2009
Large defects (lifetime ~ 450ps )
Since we have observed positron lifetimes above 400ps (large vacancy clusters) in all materials,
there must be only a small amount of helium in these defects. As we have not seen vacancy
clusters by TEM, they must not be much larger than ~ 30 vacancies
Saturated positron lifetimes for large vacancy
clusters with helium
(calculations of J. Kuriplach, 2014)
TEM visible
Small defects (lifetime ~ 200ps )
-  Small defects (lifetime ~ 200ps):
Troev et al. 2009
-  empty di-vacancy
-  6 vacancy + 2-3 He
-  12 vacancy + 12 He
Isolated He atom has an
extremely low migration energy;
He mobility drastically reduced in
the vicinity of defects
Most of He is expected to be
accommodated by defects
(at 6dpa ~ 450appm He)
Small defects (lifetime ~ 200ps )
-  Small defects (lifetime ~ 200ps):
Troev et al. 2009
-  empty di-vacancy
-  6 vacancy + 2-3 He
-  12 vacancy + 12 He
Isolated He atom has an
extremely low migration energy;
He mobility drastically reduced in
the vicinity of defects
Most of He is expected to be
accommodated by defects
(at 6dpa ~ 450appm He)
In	a	simplified	model,	where	all	helium	is	trapped	in	small	VC	(no	“free”	helium	in	the	
matrix,	negligible	amount	of	helium	in	large	coalesced	bubbles)	and	where	the	small	
VC	are	represented	by	an	average	cluster	of	12	vacancies.
Empirical determination of positron trapping coefficient at nano-scale
“helium bubbles”
DD Nµκ =
TEM	
1-1.5	nm		
∼	5-10×1023	m-3	
	
PALS	
∼	1nm	
∼		5×109	s-1	
First	comparison	of	TEM	and	PALS	data	predicts	the	value	of	positron	trapping	
coefficient	for	small	helium	bubble	in	f/m	steels	to	be	1.8	±	1.1	x	10-14	m3s-1
The	 deriva1ve	 of	 the	 positron	 mean	 life1me	 with	
respect	to	the	temperature.	As	measured	on	various	
f/m	steels	irradiated	in	STIP	targets.	
	
This	satura1on	is	due	to	an	enhanced	coalescence	of	
helium	 bubbles,	 a	 decrease	 in	 their	 number	 density	
and	the	related	increase	of	positron	mean	free	path	
(i.e.	decrease	of	positron	trapping	rate).
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 36
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
•  More	than	100	samples	of	various	nuclear	materials	were	
inves1gated	 by	 means	 of	 positron	 annihila1on	
spectroscopy.	 At	 this	 1me	 PSI	 has	 perhaps	 the	 largest	
database	of	PAS	data	on	irradiated	f/m	steels	worldwide.	
•  The	presence	of	helium	was	for	the	first	1me	successfully	
detected	 in	 the	 radia1on-induced	 vacancy	 clusters	 by	
means	of	PAS.	
•  The	 correla1on	 of	 TEM	 and	 PALS	 data	 enabled	 the	
positron	trapping	coefficient	for	nm-sized	He-V	clusters	in	
iron	(steels)	to	be	experimentally	determined		
•  Experimental	 PALS	 data	 on	 the	 He-V	 ra1os	 in	 Fe-based	
materials	 are	 in	 good	 agreement	 with	 theore1cal	
modeling	data	
37
V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015
•  A	Positron	life1me	spectrometer	and	Doppler	broadening	
(gamma)	 spectrometer	 were	 built	 at	 PSI	 hotlab	 for	
various	experiments	on	nuclear	and	other	materials.		
•  A	new	methodology	of	positron	annihila1on	spectroscopy	
based	 on	 internal	 transmuta1on	 positron	 source	 was	
developed	for	f/m	steels	irradiated	in	spalla1on	neutron	
targets.	 A	 similar	 approach	 is	 feasible	 for	 various	
aluminum	and	1tanium	alloys	as	well	as	SiC/SiC	materials	
irradiated	by	high-energy	protons.		
38

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ICFRM17_krsjak_10-2015_publ

  • 1. Wir schaffen Wissen – heute für morgen 15.10.2015 Vladimir Krsjak, Yong Dai 17th International Conference on Fusion Reactor Materials, October 11th - 16th, 2015, Aachen, Germany
  • 2. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 2
  • 3. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 3
  • 4. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 We have only a limited spa1al resolu5on and sensi5vity (to helium) with most experimental methods (TEM). 1)  requirement of reliable accelerator-driven systems (ADS) for an effec1ve transmuta1on of long-lived radioisotopes in nuclear fuel; 2)  requirement of affordable neutron sources for neutron scaIering and imaging techniques; 3)  requirement of irradia5on facili5es that enable greatly accelerated irradia1on studies with fusion-relevant transmuta1on rates. Neutron produc1on in spalla5on reac5ons is always accompanied by the emission of light charged par5cles. Small atoms like H or He have a profound effect on material proper1es 4
  • 5. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 C. Vieh, PhD Thesis, 2015, EPFL, Lausanne H. Ch. Andersen, The Princess and the pea, 1835 STEM/EELS: Only a weak fingerprint of helium can be seen in the EELS spectrum. Moreover, this approach is limited by the TEM resolu1on to rela1vely large He bubbles (>2nm). 5
  • 6. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 C. Vieh, PhD Thesis, 2015, EPFL, Lausanne H. Ch. Andersen, The Princess and the pea, 1835 STEM/EELS: Only a weak fingerprint of helium can be seen in the EELS spectrum. Moreover, this approach is limited by the TEM resolu1on to rela1vely large He bubbles (>2nm). 6
  • 7. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 Severe displacement damage, large He bubbles; He bubbles can be well characterized by TEM and STEM/EELS; Lot of experimental data – good level of understanding ~20 dpa ~10 dpa Intermediate damage, small helium bubbles; quan1ta1ve characteriza1on by TEM; limited informa1on on helium – good level of understanding Early stage displacement damage, He-V clusters; almost no experimental d a t a f ro m el ect ro n microscopy techniques ~5 dpa 7
  • 8. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 PAS 1mm Positron annihila1on spectroscopy provides nanoscale informa1on from a macroscopic region Resolu1on/sensi1vity 0.1nm vacancies 1nm vacancy clusters 100nm precipitates Size of the inves1gated region 1nm 10nm 100nm 1000nm HR TEM Atom Probe TEM 10nm cavi1es 8
  • 9. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 PAS 1mm Positron annihila1on spectroscopy provides nanoscale informa1on from a macroscopic region Size of the inves1gated region 100nm 1000nm TEM 9
  • 10. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 10
  • 11. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 sample Photons (XRD, EDS) Electrons (SEM, TEM) Positrons (PALS, CDBS) Neutrons (SANS. Diffr.) Protons (PIXE) Muon (mSR) 11
  • 12. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 Self-Seeking (positrons diffuse typically ~100nm in metals and seek sites with higher positron affinity than bulk i.e. it is aIracted by certain type of defects!) Defect type Sensitivity range (detection limit vs. saturated trapping) neutral vacancies 5×1021... 1025 m-3 dislocations 1012 ... 5×1015 m-2 precipitates (r=2 nm) 1020 ... 1023 m-3 grain boundaries 5 µm ... 200 nm (particle size) microvoids (>50 atoms) 1020 ... 5×1023 m-3 Sensi1ve to H and He. H and He presence in defects affect positron life1me and changes the electron momentum distribu1on Macroscopic samples Informa1on on sub-nm scale features from a large volume (few mm3) Sensi1ve 12
  • 13. Coincidence Doppler Broadening Spectroscopy Energy E0 = 511keV Positrons annihilate mainly with the electrons of the outermost shell due to the repulsion of the nucleus. Such annihila1on results in Eγ ≅ 511keV. But the annihila1on occurs also with core electrons (electrons with higher momentum). Such annihila1on leads to a devia5on in the energy of annihila1on gamma, which is propor5onal to the momentum of the electron- positron pair. Aeer thermaliza1on (~ 3ps), positrons diffuse through the lafce un1l trapping / annihila1on. Diffusion 5me and trapping rate are a func5on of the microstructure and they can be measured. Two techniques of positron annihila1on spectroscopy, based on different physical principles, have been widely established in material research. Positron Annihila5on Life5me Spectroscopy
  • 15. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 Positrons are obtained for laboratory setups usually by the β+ decay of isotopes 22Na, 64Cu or 58Co 22Na → 22Ne + β+ + νe + γ(1.27MeV) -  22Na positron source - continuous spectra 0 – 545 keV -  correspondent depth in bcc iron 0 – 130 µm 545 keV ↓ 3+ 2.602 y 2+ 1274 γ 1274 keV 0 3.7 ps stable 0 22Ne 22Na β- (0,1%) E.C. (9,5%) β+ (90,4%) Physical Half-Life: 2.602 Years 15
  • 16. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 16
  • 17. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 T91 irradiated in BR2 reactor at the SCK CEN, Belgium T91 irradiated at SINQ 22Na was found in all spalla1on samples of ferri1c/martensi1c steels but its ac5vity is too low to enable reasonable experiments. There is however another suitable positron source in all spalla1on steel samples. 17
  • 18. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 44Ti isotope is a product of 56Fe(p, x) reaction and it is present in all STIP samples of steels Gamma emiIed together with positron 18
  • 19. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 19
  • 20. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 Benefits of using internal 44Ti/44Sc source: - The 44Ti/44Sc source has a much longer half-life (59.6 y) which ensures a long-term stable produc1on of positrons. -  Homogeneous probing of the whole bulk -  No surface treatment required -  There are prac1cally no limita1ons as regards the sample size and shape. -  Methodology is suitable for very ac1ve samples (60Co ac1vity is usually equal or lower than 44Ti ac1vity). 20
  • 21. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 Benefits of using internal 44Ti/44Sc source: - The 44Ti/44Sc source has a much longer half-life (59.6 y) which ensures a long-term stable produc1on of positrons. -  Homogeneous probing of the whole bulk -  No surface treatment required -  There are prac1cally no limita1ons as regards the sample size and shape. -  Methodology is suitable for very ac1ve samples (60Co ac1vity is usually equal or lower than 44Ti ac1vity). 21
  • 22. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 22
  • 24. V. Sabelova et al. J. Nucl. Mater. 450 (2014) 54–58 Helium introduces a dis1nct peak in the momentum spectra around 7×10-3 m0c. In the conven1onal approach with the W parameter set to 15-25 m0c, He effect is prac1cally invisible. The dis1nct peak appears in the experimental spectra at the stage when we expect a maximum concentra1on of He in vacancy clusters (He/V = max.) V. Sabelova et al. J. Nucl. Mater. 458 (2015) 350–354 Simula1on Experiment
  • 25. CDB ra1o curve of the SINQ- irradiated F82H steel annealed at 400°C to the electron-irradiated F82H steel. K. Sato et al. J. Nucl. Mater. 2015, in press, corrected proof Positrons get trapped at the vacancy clusters containing helium
  • 26. V. Krsjak et al, J. Nucl. Mater 456 (2015) 382-388 A good correla1on between PALS and CDBS results were observed in all samples Optifer IX – STIP II
  • 27. Large defects Small defects Lifetime spectra decomposition to 1 or 2 defect components. (Two defect components of STIP II Optifer IX)
  • 28. Saturated positron lifetime for an empty vacancy cluster He/V = 0.5 He/V = 1 He/V = 2 Troev et al. 2009 Large defects (lifetime ~ 450ps ) Since we have observed positron lifetimes above 400ps (large vacancy clusters) in all materials, there must be only a small amount of helium in these defects. As we have not seen vacancy clusters by TEM, they must not be much larger than ~ 30 vacancies Saturated positron lifetimes for large vacancy clusters with helium (calculations of J. Kuriplach, 2014) TEM visible
  • 29. Small defects (lifetime ~ 200ps ) -  Small defects (lifetime ~ 200ps): Troev et al. 2009 -  empty di-vacancy -  6 vacancy + 2-3 He -  12 vacancy + 12 He Isolated He atom has an extremely low migration energy; He mobility drastically reduced in the vicinity of defects Most of He is expected to be accommodated by defects (at 6dpa ~ 450appm He)
  • 30. Small defects (lifetime ~ 200ps ) -  Small defects (lifetime ~ 200ps): Troev et al. 2009 -  empty di-vacancy -  6 vacancy + 2-3 He -  12 vacancy + 12 He Isolated He atom has an extremely low migration energy; He mobility drastically reduced in the vicinity of defects Most of He is expected to be accommodated by defects (at 6dpa ~ 450appm He)
  • 32. Empirical determination of positron trapping coefficient at nano-scale “helium bubbles” DD Nµκ = TEM 1-1.5 nm ∼ 5-10×1023 m-3 PALS ∼ 1nm ∼ 5×109 s-1 First comparison of TEM and PALS data predicts the value of positron trapping coefficient for small helium bubble in f/m steels to be 1.8 ± 1.1 x 10-14 m3s-1
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  • 35. The deriva1ve of the positron mean life1me with respect to the temperature. As measured on various f/m steels irradiated in STIP targets. This satura1on is due to an enhanced coalescence of helium bubbles, a decrease in their number density and the related increase of positron mean free path (i.e. decrease of positron trapping rate).
  • 36. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 36
  • 37. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 •  More than 100 samples of various nuclear materials were inves1gated by means of positron annihila1on spectroscopy. At this 1me PSI has perhaps the largest database of PAS data on irradiated f/m steels worldwide. •  The presence of helium was for the first 1me successfully detected in the radia1on-induced vacancy clusters by means of PAS. •  The correla1on of TEM and PALS data enabled the positron trapping coefficient for nm-sized He-V clusters in iron (steels) to be experimentally determined •  Experimental PALS data on the He-V ra1os in Fe-based materials are in good agreement with theore1cal modeling data 37
  • 38. V. Krsjak, ICFRM—17, Aachen, Germany, 15th October 2015 •  A Positron life1me spectrometer and Doppler broadening (gamma) spectrometer were built at PSI hotlab for various experiments on nuclear and other materials. •  A new methodology of positron annihila1on spectroscopy based on internal transmuta1on positron source was developed for f/m steels irradiated in spalla1on neutron targets. A similar approach is feasible for various aluminum and 1tanium alloys as well as SiC/SiC materials irradiated by high-energy protons. 38