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Equation of Radiative Transfer 23rd Meeting of the Atomic and Molecular Data Centres Network
Aspects and prospects of
KAERI atomic data center
4-6 Sept. 2017, IAEA Headquarters, Vienna, Austria
Duck-Hee Kwon and Kil-Byoung Chai
Nuclear Data Center
Korea Atomic Energy Research Institute
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Equation of Radiative Transfer Outline
1. Research Activities (2015-2017)
2. KAERI Atomic Database Updates
3. Summary and Outlook
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Equation of Radiative Transfer Research Activities 1. State-of-the-art calculations for the electron-impact ionization and recombination, and photoionization data which are essential in modeling for laboratory and astrophysical plasmas
ITER wall design
Sun Star SNR
Galaxy AGN
2. Spectroscopic measurement in plasma devices and collisional radiative modeling for analysis on the measured spectra
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Equation of Radiative Transfer Research Activities
1. Dielectronic recombination (DR)
• Highly charged W44+~W46+
• Lowly charged W5+~W11+
2. Photon emissivity coefficient (PEC)
• W5+~W48+
3. Spectroscopic measurement &
collisional-radiative (CR) modeling
• Ar
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Equation of Radiative Transfer Spectroscopic Modeling
Emissivity εij for line transition i→j
),(PEC,, eeijeZij nTtrntrn Photon Emissivity Coefficient
Radiative transition probability
Collisional excitation (CE) rate
0
Ground state for any charge state of Z ions
i
j
any k below i
CE from 0 to i
Radiative transitions
Simple coronal Model for state population density
ik
ik
ij
i0eijA
AXTPEC
Charge Z ion density
from transport modeling
Electron density
e
e
e
T
ZeVT
Zcmn
232/1
83
110162.1exp
1106.5
with hydrogenic approximation
Atomic Data
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Equation of Radiative Transfer Transport Modeling
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Equation of Radiative Transfer Photon Emissivity Coefficient (PEC)
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Equation of Radiative Transfer Photon Emissivity Coefficient (PEC)
FAC data vs. ADAS data
For eg. W25+ Total 9+496 levels 1+28 states
Full J-J coupled level resolved scheme
Configuration average scheme
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Equation of Radiative Transfer Impurity injection experiment in KSTAR
On the courtesy of In Woo Song in KAIST and KSTAR team
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Equation of Radiative Transfer Measured spectra in KSTAR
On the courtesy of In Woo Song in KAIST and KSTAR team
LoS for CAES on KSTAR
- Simple 2-D configuration (only the pinhole position and the detector position are considered) - 10 lines of sight (corresponding to 10 channels during #16958) - Sample points are generated on the LoS with equal distance
apart
- Thomson data at 4.15 s (100 ms averaged) are used - Fitted by using tanh function
Channel 1
Channel 10
Lines of sight, Thomson Te & ne profiles
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Equation of Radiative Transfer Measured vs. modeled spectra
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Equation of Radiative Transfer Transport free modeled spectra Fractional abundance from ADAS ca09_w.dat (ionization) and acd50_w.dat (recombination). PEC from FAC calculations
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Equation of Radiative Transfer Ionization data for W
D.-H. Zhang and D.-H. Kwon, JPB 47, 075202 (2014)
W17+
FAC level resolved
ADAS CADW
ADAS ionization data by CADW ab-initio calculation for W ions is reliable within 30-50% accuracy being compared with other ab-initio calculations and the data set is available for all ionization stages.
W+
D.-H. Kwon, Y. S. Cho, and Y. O. Lee, IJMS 356, 7 (2013)
W25+
A. Kyniene, S. Pakalka, S. Masys, and V. Jonauskas, JPB 49, 185001 (2016)
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Equation of Radiative Transfer Recombination data for W
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Equation of Radiative Transfer DR data for W
IAEA&KAERI Joint CM on DR for W (Sept. 2015)
ADAS recombination data based on a simple Burgess formula for W ions quite differ from other ab-initio calculations and the data is not available for many ionization stages.
ab-initio calculation
f jfk jk
t ttjt jt
jAA
BAAB
ra
rr
j B
ij
j
a
jij
2/3
B
2
0
i
i
Tk
EexpBAg
Tk
Rya4
g2
1)T(
Burgess formula
j
ji
2/3Ze
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i
T
Eexp)y(Af
T
)T,q(D)q(Bnn1059.7)T(
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Equation of Radiative Transfer IAEA-KAERI joint CM on DR for W
At KAERI (Sept. 2015)
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Equation of Radiative Transfer New recommended DR data for W ions
ADNDT in press, available online 5 June 2017
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Equation of Radiative Transfer New recommended DR data for W ions
ADNDT in press, available online 5 June 2017
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Equation of Radiative Transfer DR data for W ions (Our calculations)
D.-H. Kwon and W. Lee, JQSRT 170, 182 (2016); ibid., 179, 98 (2016)
D.-H. Kwon and W. Lee, JQSRT, 179, 98 (2016)
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Equation of Radiative Transfer DR data for W ions (Our calculations)
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Equation of Radiative Transfer DR data for W ions (Our calculations)
Ion Ground configuration
FAC (eV)
NIST (eV)
% Error
W4+ 4f145s25p65d2 51.62 51.6 0.04
W5+ 4f145s25p65d 65.20 64.77 0.66
W6+ 4f145s25p6 116.92 122.01 4.17
W7+ 4f145s25p5 or 4f135s25p6
140.53
141.2
0.47
W8+ 4f145s25p4 162.17 160.2 1.35
W9+ 4f145s25p3 180.9 179.0 1.06
W10+ 4f145s25p2 203.93 208.9 2.38
W11+ 4f145s25p 4f135s25p2
231.6
Threshold energy of resonance for DR of Wq+ (q = 5-11)
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Equation of Radiative Transfer DR data for W ions (Our calculations)
4f145s25p65d
Ground level 4f145s25p6
Ground level
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Equation of Radiative Transfer DR data for W ions (Our calculations)
4f145s25p5
Ground level 4f145s25p4
Ground level
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Equation of Radiative Transfer DR data for W ions (Our calculations)
4f145s25p3
Ground level 4f145s25p2
Ground level
To be submitted.
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Equation of Radiative Transfer DR data for W ions (Our calculations)
4f135s25p2
Ground level
Due to so many resonances of 4f core excitation, DR via 4f transition has been still run.
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Equation of Radiative Transfer Spectroscopy in CCP device
Langmuir Probe
Optical Emission
Spectroscopy
13.56 MHz RF CCP
Experimental setup
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Equation of Radiative Transfer Spectroscopy in CCP device
Langmuir probe diagnostics and OES
Te = 2.6 eV
ni = 5.6×1015 m-3
680 700 720 740 760 780 800 8200.00
0.05
0.10
0.15
0.20
0.25
Inte
nsity (
a.u
.)
wavelength (nm)
30 mTorr 5 W
10 20 30 0
EE
PF
(m
-3eV
-3/2
)
Energy (eV)
1012
1014
1013
1011
1015
Langmuir probe data OES data
EEPF: measured by Impedans Ltd. Langmuir probe
Spectra measured by Ocean Optics HR4000 (calibrated)
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Equation of Radiative Transfer CR modeling for Ar
J
1S25
110-145m
J
1S25
2-5
41j
0
16
0
Lp4p3 ,2p states Excited:N
Ps4p3 ,1s states
2,4)(j resonance and 3) 1,(j Metastable:N
Sp3stateGround:N
Under construction !
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Experiment Equation of Radiative Transfer Database updates
Our website for atomic data and CR modeling
http://pearl.kaeri.re.kr
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Experiment Equation of Radiative Transfer Summary & Outlook
1. We have calculated PEC for tungsten (W) ions Wq+ (q = 5-48) by
parallelizing radiative transition routine of FAC.
2. We had compiled available DR data for W ions and gave the
recommended data through IAEA and KAERI joint CM.
3. We have calculated DR for Wq+ (q =5-11, 44-46) and will calculate DR
for Wq+ (q = 30-34).
4. We have installed a CCP device and measured plasma temperature
and density for Ar with a Langmoir probe. OES for Ar has also been
carried out. CR modeling including detailed collision and radiative
processes will be constructed.
5. We have updated the calculated atomic data and implemented
the previous CR modeling for He I on our Web DB
(http://pearl.kaeri.re.kr).
6. Parallelization for FAC was done for AI routine will be performed.
7. Unitary correction for collisional excitation routine based on distorted
wave approximation of FAC will be tried.
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Collaborations
ITER Korea VUV Diagnostic Team, KSTAR Team
Dept. of Physics, Fusion Plasma Transport Research Center
Physical Metrology team: Absolute calibration for spectrometer
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Fractional abundance
Nuclear Data Center
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Transport free spectrum
Main ions emitting 14-25 nm VUV
W VUV Spectra measured in KSTAR
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Fractional abundance difference
0.01
0.1
1
Fra
ctio
na
l a
bu
nd
an
ce
1 10 100 1000 100000.1
1
10
Ne
w/A
DA
S
Electron temperature (eV)
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Spectra sensitivity
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Modeling uncertainties
• Electron temperature & density profiles
• Transport D & V coefficients
• Time evolution of impurity
• Atomic data for ionization and recombination
• PEC beyond coronal model