K. Tőkési
1Institute for Nuclear Research, Hungarian Academy of Sciences (ATOMKI), Debrecen, Hungary, EU
ATOMIC DATA FOR INTEGRATED TOKAMAC MODELLING
V
p
+
vnxv
Collaborators
D. Tskhakaya D. Coster
Max-Planck-Institut für Plasmaphysik, Garching, German, EU
Institute for Theoretical Physics University of Innsbruck, Innsbruck, Austria, EU
Outlook• ITER - fusion energy • Why?• Methods of the analysis Classical treatment of the collision problem - Trajectory Monte Carlo method• Search for Fermi-shuttle ionizationSearch for Fermi-shuttle ionizationHot electron generationHot electron generation - Examples - C+ + Ne
- Alq+ + He - N+ + Ar
- Universal functionl form? • Summary
ITER
Wide range of atomic data are needed by the ITM-TF (transport, ionization, capture)
Generate energetic electrons
Ping-pong game: heavy paddle – light ballElastic scattering:
mM
VBefore:
MV’ m
vAfter:
mvMVMV '2
212
212
21 ' mvMVMV
Momentum conservation:
Energy conservation:
MmVv
MmMmVV
/112
/1/1'
The final velocity of the light particle in the laboratory frame
Large energy gain
Energy gain in ping-pong game
Projectile velocity (V)EV=0.5 me V2
kicks: 1 2 3 4 5ball velocity: 2V 4V 6V 8V 10Vball energy: 4 EV 16 EV 36 EV 64 EV 100 EV
Charge particles in moving magnetic fields
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . B1
B2
Pioneer: E. Fermi, Phys Rev. 75 (1949)
Pierre Auger project - Argentina 1600 detectors in 3000 km2
Can it be o
bserved in
an atomic scale ?
Ionization in ion-atom collisions
Description:
ZP/ZT
vP/ve
1
0.1 1 10
MO
PWBA
0.1
10
CDW
adiabatic fast
Distorted wawe approximations
Perturbative methods
Molecular development
Coupled channels calculations
?
Non-perturbative models:Classical treatment
Exact quantum models, e.g.,one dimensional „scattering” on a delta potential
Surprise (Wang et al.,1991):
2V
2V
4V
4V
6V
6V
• Classical nonperturbative method – „theoretical experiment”• Treats the many-body interactions – multiple scattering model
3-body CTMC approach
1/ 1)1((r) where,r
1)()1(V(r)
dreHdrZ
Model potential:
Target nucleus
electron
Projectile
V(rTP)
V(rTe)
V(rPe)
v Specific for the present work:-Screened core potentials for both partners (analytic GSZ model pot.)
-Strategies for extracting the relevant information • a three-body balance is bound by E and p conservation;• final-state kinematics does not provide information about the mechanism
Example - advertisementDoubly differential cross sections for ionization of neon by 2.4 MeV C+ ions.
θ= 130°
Energy (eV)10 100 1000
d2 /d
Ed
(cm
2 /eV
/sr)
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
measurementtarget ionization
Energy (eV)10 100 1000
d2 /d
Ed
(cm
2 /eV
/sr)
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
measurement
Energy (eV)10 100 1000
d2 /d
Ed
(cm
2 /eV
/sr)
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
measurementtarget ionizationProjectile Loss
Energy (eV)10 100 1000
d2 /d
Ed
(cm
2 /eV
/sr)
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
measurementtarget ionizationProjectile LossTarget ion + Projectile loss
C+ + Ne
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryCTMC
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryCTMC
Energy (eV)
0.01 0.1 1 10 100 1000 10000
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryExperimentCTMC
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryCTMC
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryCTMC
Energy (eV)
0.01 0.1 1 10 100 1000 10000
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryExperimentCTMC
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryCTMC
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryCTMC
Energy (eV)
0.01 0.1 1 10 100 1000 10000
d/d
E (c
m2 /e
V)
1e-24
1e-23
1e-22
1e-21
1e-20
1e-19
1e-18
1e-17
1e-16
Binary theoryExperimentCTMC
0.8 MeV C+ 1.2 MeV C+ 2.4 MeV C+
Tar
get
ioni
zatio
nPr
ojec
tile
io
niza
tion
Tar
get a
nd
proj
ectil
e io
niza
tion
Observation of the Fermi-shuttle process in the angular integrated electron spectra. Separation of multiple scattering components.
1.2 MeV C+ + Ne
Energy (eV)100 1000
Cro
ss se
ctio
n ra
tio
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
Experiment / binary theoryCTMC / binary theory
2.4 MeV C+ + Ne
Energy (eV)100 1000
Cro
ss se
ctio
n ra
tio0.0
0.5
1.0
1.5
2.0
2.5
3.0
Experiment / binary theoryCTMC / binary theory
2V 3V 2V
Doubly differential cross sections for ionization of helium by 100 and 200 keV Al3+ ions.
Doubly differential cross sections for ionization of helium by 100 keV Al+ ions.
Slow ion impact (>98% ping-pong)
Experiment
HMI Berlin
CTMC
Debrecen
Long ping-pong game (15 keV N+ + Ar) P-T-P-T-P-T-P-T-P-T
t (a.u.)88 90 92 94
z (a
.u.)
-6
-4
-2
0
2
4
6
8
Ele
ctro
n en
ergy
(a.u
.)
-6
-4
-2
0
2
4
6
8
target nucleusprojectileelectronEnergy (a.u.)
P PP P P
T T T T T
Hopefully this talk has given • An indication of the needs of the fusion community for Atomic data.• Some sense of new developments needs.
-Classical treatments of the atomic collisions reproduce the electron emission spectra.
- The signature of the Fermi shuttle type ionization is identified in the electron spectra.
-Fermi-shuttle multiple scattering is significant or dominant for slow collisions.
Generate energetic electrons
Electron emission in low energy ion-matter interactions might be governed by multiple scattering.
Conclusions
Thank you!