© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Modelling of ion - driven deuterium retention in W
O.V. Ogorodnikova
in collaboration with
J. Roth and M. MayerMPI für Plasmaphysik, EURATOM Association,
Garching, Germany
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Ion implantation and TDS
D retention in W has been studied in ion beam experiments: monoenergetic ion beam
E = 200 eV D+ to 3 keV D+
T = 300 K to 600 K
D inventory in W increases as a square root of fluence at RT => diffusion-limited trapping.
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
W
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Ogorodnikova O.V., Roth J., Mayer M., J. Nucl. Mater. 313-316 (2003) 469-477
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Ion implantation and TDS
D retention in W has been studied in ion beam experiments: monoenergetic ion beam
E = 200 eV D+ to 3 keV D+
T = 300 K to 600 K
D inventory in W increases as a square root of fluence at RT => diffusion-limited trapping.
Most of D are trapped in the bulk at high fluences.
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
NRA< 6 m
W
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Ogorodnikova O.V., Roth J., Mayer M., J. Nucl. Mater. 313-316 (2003) 469-477
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
200 400 600 8000,00
0,40
0,80 experiments
1022 D/m2
1023 D/m2
200 eV D+, RT -> W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
W
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
TDS shows two peaks.Both peaks grow with fluence.Second peak (high-temperature) grows faster.
Ion implantation and TDS
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
W
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Pre-implantation with intermediate TDS increases the second peak.
Ion implantation and TDS
200 400 600 800 10000,00
0,20
0,40
0,60
0,80
1,00
200 300 400 500 600 700 800 900 1000200 300 400 500 600 700 800 900 1000
200 eV D+ -> W
F=1022 D/m2, RT virgin W re-used W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Modelling of D retention in PCW
trapping
Implantation, I0
Permeation, JL
Desorption, J0
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Modelling of D retention in PCW
trapping
Implantation, I0
Permeation, JL
Desorption, J0
Natural trapsIon-induced traps
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Dislocations, Grain boundaries
Bubbles, Vacancies
200 400 600 8000,00
0,40
0,80 experiments
1022
D/m2
1023
D/m2
200 eV D+, RT -> W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
calculations
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Modelling of D retention in PCW
Diffusion model with two kinds of traps describes well experimental data.
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
200 400 600 8000,00
0,40
0,80 experiments
1022
D/m2
1023
D/m2
200 eV D+, RT -> W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
calculations
Modelling of D retention in PCW
W(x,t)=Wm(1 – exp(-(1-r)I0xt/Wm))
Rate of defect production = f (initial traps, ion flux, ion energy, temperature)
0 1000 2000 3000 4000 5000 600010191020102110221023102410251026102710281029
vacancies
dislocations
intrinsic traps
F=1024 D/m2200 eV D+ -> W
ion-induced traps
Tra
p co
ncen
trat
ion,
m-3
x, nm
Ion-induced traps distributes near the surface and natural traps distributes along whole W thickness
0.85 eV 1.45 eV
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Dislocations, Grain boundaries
Bubbles, Vacancies
200 400 600 8000,00
0,40
0,80 experiments
1022
D/m2
1023
D/m2
200 eV D+, RT -> W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
calculations
Modelling of D retention in PCW
W(x,t)=Wm(1 – exp(-(1-r)I0xt/Wm))
Rate of defect production = f (initial traps, ion flux, ion energy, temperature)
0 1000 2000 3000 4000 5000 600010191020102110221023102410251026102710281029
vacancies
dislocations
intrinsic traps
F=1024 D/m2200 eV D+ -> W
ion-induced traps
Tra
p co
ncen
trat
ion,
m-3
x, nm
Ion-induced traps distributes near the surface and natural traps distributes along whole W thickness
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Modelling of D retention in PCW
W(x,t)=Wm(1 – exp(-(1-r)I0xt/Wm))
Rate of defect production = f (initial traps, ion flux, ion energy, temperature)
0 1000 2000 3000 4000 5000 600010191020102110221023102410251026102710281029
vacancies
dislocations
intrinsic traps
F=1024 D/m2200 eV D+ -> W
ion-induced traps
Tra
p co
ncen
trat
ion,
m-3
x, nm
Ion-induced traps distributes near the surface and natural traps distributes along whole W thickness
200 400 600 800 10000,00
0,20
0,40
0,60
0,80
1,00
200 300 400 500 600 700 800 900 1000200 300 400 500 600 700 800 900 1000
200 eV D+ -> W
F=1022 D/m2, RT virgin W re-used W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
=10-2
=10-3
Rate of defect production is higher for pre-implantation with intermediate TDS
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Modelling of D retention in PCW
0 1000 2000 3000 4000 5000 600010191020102110221023102410251026102710281029
vacancies
dislocations
intrinsic traps
F=1024 D/m2200 eV D+ -> W
ion-induced traps
Tra
p co
ncen
trat
ion,
m-3
x, nm0 1000 2000 3000 4000 5000 6000
1023
1x1024
1025
1026
1027
200 eV D+ -> PCW
F=1024 D/m2
T=393 K
T=323 K
exp, Alimov [19] calculations
D c
once
ntra
tion,
D/m
3
x, nm
Ion-induced traps distributes near the surface and natural traps distributes along whole W thickness
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Which kinds of ion-induced defects of 1.45 eV can be produced by low energy ions? =>
- 200 eV cannot produce vacancies (Eth=860 eV)
- D self-aggregation in clusters due to stress field created by implanted deuterium
Modelling of D retention in PCW
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Why D agglomerates in clusters only near the implantation surface? =>
Because of stress field induced by ion implantation
Modelling of D retention in PCW
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
D agglomeration in clusters and bubble growth
Tension and stress=>Displacement of W atom=>Di-vacancy=>Bubble growth
D traps by vacancy Several D trap by vacancy
=> =>
Tension and stress=>Dislocation (loop punching?)
Conditions for bubble formation:1) Saturation in D concentration2) Saturation in vacancies
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Temperature effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
W
200 eV, 380-470 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
An increase of the temperature results in a decrease of D retention for recrystallized ´virgin´ PCW
At 400 K D retention increases with fluence faster than at RT
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
An increase of the temperature results in a decrease of D retentionfor recrystallized ´virgin´ PCW
Model describes well temperature dependence.
300 400 500 600 700
1018
1019
1020
1021
500 eV D+
200 eV D+ -> WRet
aine
d de
uter
ium
, D/m
2
Irradiation temperature, K
exp. TDS [present work] calculations [present work] TDS [Haazs], SCW
F=1024D/m2
D retention decreases with temperature for ´virgin´ W
Temperature effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
200 eV, 380-470 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
An increase of the temperature results in a decrease of D retentionfor recrystallized ´virgin´ PCW
Model describes well temperature dependence.
D retention decreases with temperature for ´virgin´ W.
Most of D are in the bulk.
Temperature effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
200 eV, 380-470 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
300 400 500 600 700 800
1018
1019
1020
1021
1022
3000 eV D+
500 eV D+
200 eV D+ -> WRet
aine
d de
uter
ium
, D/m
2
Irradiation temperature, K
NRA up to 7 m [Alimov] exp. TDS [present work] calculations [present work] TDS [Haazs], SCW
F=1024D/m2
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Lower D retention for 3 keV than for 200 eV at high fluences
Implantation energy effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
3 keV, 373-400 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Implantation energy effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
D(x,t)
D=const
3 keV, 373-400 K
100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Increase of the stress field =>increase of the diffusion coefficient
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Implantation energy effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
D(x,t)
D=const
3 keV, 373-400 K
100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m20 500 1000 1500 2000
0
10
20
F=1023 D/m2
F=1022 D/m2
F=1024 D/m2
D(x,t) at T=400 K
Dif
fusi
on c
oeff
icie
nt, 1
0-11 m
2 /s
x, nm
)/)()1(exp()/1(1(),( 0 mmm utxIrDDDtxD Increase of the stress field =>increase of the diffusion coefficient
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Implantation energy effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
D(x,t)
D=const
3 keV, 373-400 K
100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Increase of the stress field =>increase of the diffusion coefficient
0 10000 20000 300001023
1024
1025
1026
1027
1028
3 keV, 393 K
F=1024 D/m2
200 eV, RT
D c
once
ntra
tion,
m-3
x, nm
Calculated depth profiles
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Ion-induced defects are produced during implantation by deuterium self-aggregation due to the stress field induced by the incident ion flux
• D retains in W in ion-induced defects and natural defects
•
• An increase of ion energy (or/and ion flux) results in an increase of the stress field in the implantation region. As a result the diffusion coefficient near the implantation region increases.
• Both no recrystallization and intermediate TDS (annealing up to 1200 K) increase the rate of defect production
Conclusions
The rate of ion-induced defect production depends on the energy of the incident ions, ion flux, sample temperature and initial trap concentration
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Discussion
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Implantation energy effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
3 keV, 373-400 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Increase of the stress field =>increase of the diffusion coefficient
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
An increase of the temperature results in a decrease of D retentionfor recrystallized ´virgin´ PCW
Model describes well temperature dependence.
D retention decreases with temperature for ´virgin´ W.
D retention has a maximum for re-used W.
Implantation history effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021 re-used, 420 K
200 eV, 380-470 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
300 400 500 6000
2
4
6
8
200 eV D+
500 eV D+
500 eV D+
re-used W
´virgin´ W
F=1023 D/m2Ret
enti
on, 1
020 D
/m2
Irradiation temperature, K
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
D retention in the second peak increases with temperature for re-used W
300 400 500 600 700 800 9000,0
0,4
0,8
300 400 500 600 700 800 900
200 eV ->W
RT 473 K
electropolished,heated at 1573 K 3 hours
Des
orpt
ion
rate
, 1019
D/m
2 s
Temperature, K300 400 500 600 700 800 900
0,0
1,0
2,0
3,0
300 400 500 600 700 800 900
200 eV -> W as received F=1023 D/m2
RT 473 K
Des
orpt
ion
rate
, 1019
D/m
2 s
Temperature, K
Recrystallized W As-received W after multiple implantation
Implantation history effect
D retention in the second peak decreases with temperature for recrystallized W
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
An increase of the temperature results in a decrease of D retentionfor recrystallized ´virgin´ PCW
Model describes well temperature dependence.
Intermediate TDS increases the amount of initial high-temperature traps
Calculations using the higher rate of defect production are in a good agreement with experiments.
300 400 500 600 700 800 9000,0
0,4
0,8
300 400 500 600 700 800 900
200 eV ->W
RT 473 K
electropolished,heated at 1573 K 3 hours
Des
orpt
ion
rate
, 1019
D/m
2 s
Temperature, K300 400 500 600 700 800 900
0,0
1,0
2,0
3,0
300 400 500 600 700 800 900
200 eV -> W as received F=1023 D/m2
RT 473 K
Des
orpt
ion
rate
, 1019
D/m
2 s
Temperature, K
Implantation history effect
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
The increase of amount of initial traps increases the rate of deuterium cluster formation
Both intermediate TDS and no recrystallization increase the amount of initial traps
Modelling of D retention in PCW
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
W: 3 keV D+, RT
400 600 800 10000.00
0.42
0.83
1.25
1.67
2.08
2.50
annealed W
3 keV -> W
1024D/m2, 373 K
5.641023(D/m)2
373 K, unannealed W
Des
orpt
ion
flux
, 1019
D/m
2 s
Temperature, K
Deuterium retention in W
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Conditions for cluster formation in W
- Initial amount of defects
- Low solubility and diffusivity
- Low porosity
Acceleration of rate of cluster growth- High ion flux or/and ion energy
Conditions for cluster formation and bubble growth
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Implantation energy effect
1021 1022 1x1023 1024 1x10251018
1019
1020
1021
3 keV, 373-400 K
200 eV, RT100%
Deu
teri
um r
etai
ned,
D/m
2
Incident fluence, D+/m2
Increase of the stress field =>increase of the diffusion coefficient
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Experiments
off-normal events & ELM´s• D retention in damage W n-irradiation
He-irradiation
• D retention at high implantation temperature (T=800 K - 1000 K) at different ion fluxes
R & D
Modelling
• Competition of erosion/diffusion
• Soret effect
• Maxwellian energy distribution
• Diffusion in tension field
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Is D retention in W a problem for ITER ?
• Competition of erosion/diffusion
• Deposition of impurities, codeposition ?
• Damages in the near surface region by off-normal events
• Diffusion in tension field
W as a divertor
Tplasma: 1-20 eVParticle flux : 1022 – 1024 /m2/sTw : ~1000 K
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Is D retention in W a problem for ITER ?
• Competition of erosion/diffusion
• Deposition of impurities, codeposition ?
• Damaged by off-normal events near surface region
• Diffusion in tension field
• Temperature of W can be important
• Diffusion in tension field
W as a divertor
Tplasma: 1-20 eVParticle flux : 1022 – 1024 /m2/sTw : ~1000 K
W as a FW
Tplasma: 1-5 eV ?
Particle flux : ~ 1020 /m2/sTw : ~500 K ?
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Is D retention in W a problem for ITER ?
• Competition of erosion/diffusion
• Deposition of impurities, codeposition ?
• Damaged by off-normal events near surface region
• Diffusion in tension field
• Temperature of W can be important
• Diffusion in tension field
W as a divertor
Tplasma: 1-20 eVParticle flux : 1022 – 1024 /m2/sTw : ~1000 K
W as a FW
Tplasma: 1-5 eV ?
Particle flux : ~ 1020 /m2/sTw : ~500 K ?
Bulk retention can be of concern
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Is D retention in W a problem for ITER ?
• Competition of erosion/diffusion
• Deposition of impurities, codeposition ?
• Damaged by off-normal events near surface region
• Diffusion in tension field
• Temperature of W can be important
• Diffusion in tension field
W as a divertor
Tplasma: 1-20 eVParticle flux : 1022 – 1024 /m2/sTw : ~1000 K
W as a FW
Tplasma: 1-5 eV ?
Particle flux : ~ 1020 /m2/sTw : ~500 K ?
Bulk retention can be of concern
n-irradiation – strong trapping in vacancies distributed over all W thickness
© Olga Ogorodnikova, 9th ITPA, Garching, May 7-9, 2007
Talk outline• Experimental data
• Modelling of D retention in PCW
– Temperature effect
– Implantation history effect
– Ion energy effect
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