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1 Relativistic calculation of emission spectra of highly charged W ions and electron impact ionization cross sections of W 2006. 11. 14. Yongjoo Rhee ( ) Laboratory for Quantum Optics Korea Atomic Energy Research Institute presentation at ADAS yjrhee@kaeri.re.kr http://amods.kaeri.re.kr

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2 1.Electron impact ionization cross sections - W/W + - Ionization of W and W+ by electron impact. Duck-Hee Kwon, Yong-Joo Rhee, Yong-Ki Kim, International Journal of Mass Spectrometry, 252 pp213-221 (2006.4) 2.Emission spectra of highly charged W ions - W 33+, W 34+, W 35+, W 36+ 3. AMODS database - http://amods.kaeri.re.kr

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3 Atomic Processes in a Fusion Plasma impurity photon plasma particle 2 nd electron, ion, excited atom electron Mo, W, V Plasma p, e, Be, Li, C, Ni, etc Plasma (keV) generation of elctron energy loss of plasma plasma-wall interaction secondary electron electron collision with plasma photon emission decrease of plasma temperature secondary electron Diagnostic high Z (Ar, Xe, etc)

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4 (direct ionization) BEB (Binary Encounter Bethe) model N : Orbital Occupation NumberB : Orbital Binding Energy U : Orbital Kinetic Energy R : Rydberg Energy T : Incident Electron Energy t = T/B u = U/B a 0 : Bohr Radius Bethe Mott Bound state Continuum Electron Ionization energy interference (excitation-autoionization) Electron Bound state 1 Excited state : autoionization or photoemission First ionization limit Continuum Bound state 2 E: excitation energy B: bound energy PWB: plane wave Born Approximation for neutral atom CB: Coulomb Born approximation for singly charged ion Electron Impact Ionization Cross Sections N,B,U relativistic MCDF calculation

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5 MCDF Calculation Dirac-Fock Equation http://amods.kaeri.re.kr/mcdf/MCDF.html PC version (2005) Workstation version (2000) Exchange term Screened Coulomb charge term Lagrange multipliers Multi Configuration Dirac-Fock (MCDF) code : Jean-Paul Desclaux (Grenoble, France) Paul Indelicato (University of Paris, France) Yong-Ki Kim (NIST, USA) - ralativistic wave functions - electric and magnetic multipole transition - plane wave Born cross section - angular coefficients, etc Radial function X r

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6 Atom Configuratio n LS termLevel(eV) Ionization energy (eV) W 5d 4 6s 25 D 0 (g)0 7.864 5d 5 6s 7 S 3 (m)0.3659 5d 4 6s 23 P 1 (m)1.6499 W+W+ 5d 4 6s 6 D 1/2 (g)016.35 5d 5 6 S 5/2 (m)0.9200 5d 3 6s 24 F 5/2 (m)1.0801 Energy levels of W (Z=74, m=meta stable state, g=ground state)

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7 e-impact ionization of W + ion

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8 e-impact ionization of neutral W

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9 Online calcuation of Direct Ionization Cross Section

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10 C. Biedermann, Physica Scripta, 2001 4p 6 4d n [4p 5 4d n+1 + 4p 6 4d n-1 4f] Series of EUV spectra of W ions (25+ to 36+) measured at Berlin EBIT Calculation by HULLAC code Emission spectra of Highly Charged W Ions

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11 Energy levels of highly charged W ions W 36+ Mo V W 35+ Mo IV W 34+ Mo III W 33+ Mo II

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12 Transition Probabilities of W 33+ Electric Dipole transition only 4p 6 4d n [ 4p 5 4d n+1 + 4p 6 4d n-1 4f ] n=2 for W 36+ J= 2, 3, 4 n=3 for W 35+ J= 1/2, 3/2, 5/2 n=4 for W 34+ J= 0, 1, 2 n=5 for W 33+ J= 1/2, 3/2, 5/2

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13 Spectrum of highly charged W 33+ ions Electric Dipole transition only 4p 6 4d n [ 4p 5 4d 6 + 4p 6 4d 4 4f ]

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14 Transition Probabilities of W 34+ Electric Dipole transition only 4p 6 4d n [ 4p 5 4d n+1 + 4p 6 4d n-1 4f ] n=2 for W 36+ J= 2, 3, 4 n=3 for W 35+ J= 1/2, 3/2, 5/2 n=4 for W 34+ J= 0, 1, 2 n=5 for W 33+ J= 1/2, 3/2, 5/2

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15 Spectrum of highly charged W 34+ ions Electric Dipole transition only 4p 6 4d n [ 4p 5 4d 5 + 4p 6 4d 3 4f ]

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16 Transition Probabilities of W 35+ Electric Dipole transition only 4p 6 4d n [ 4p 5 4d n+1 + 4p 6 4d n-1 4f ] n=2 for W 36+ J= 2, 3, 4 n=3 for W 35+ J= 1/2, 3/2, 5/2 n=4 for W 34+ J= 0, 1, 2 n=5 for W 33+ J= 1/2, 3/2, 5/2

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17 Spectrum of highly charged W 35+ ions Electric Dipole transition only 4p 6 4d n [ 4p 5 4d 4 + 4p 6 4d 2 4f ]

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18 W 33+ W 34+ W 35+ W 36+ Spectra of highly charged W ions Electric Dipole transition only 4p 6 4d n [ 4p 5 4d n+1 + 4p 6 4d n-1 4f ] n=2 for W 36+ J= 2, 3, 4 n=3 for W 35+ J= 1/2, 3/2, 5/2 n=4 for W 34+ J= 0, 1, 2 n=5 for W 33+ J= 1/2, 3/2, 5/2 HCI Spectra are calculated using MCDF code for gA of each transition line and convolution with =0.138 is performed.

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19 Spectra of highly charged W ions ASDEX upgrade, R. Neu, J.Phys.B, At. Mol. Opt. Phys. 1997

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20 Spectra of highly charged W ions RELAC code, R. Neu, J.Phys.B, At. Mol. Opt. Phys. 1997

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21 AMODS database http://amods.kaeri.re.kr

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22 Structure & Raw Data Sources of AMODS AMODS Atomic Structure & TransitionsCollisions and Reactions ASL TP AEL ATL MCDF ON-LINE POP DYNAMICS Mirror NIST ASD ALLADIN e IMPACT ISOTOPE DATA MPI PATH NIFS AI IAEA,ORNL Michigan NIST, CUP NIFS CDS NIST KAERI NIST ADAS KAERI Strathclyde Most data retrievals are controlled by SCRIPTS (PERL, k-shell) Fundamental Const NIST IFE Simulation KAERI

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23 Atomic Spectral Lines - I

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24 Atomic Spectral Lines - II

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25 Electron Impact Excitation/Ionization

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26 Electron Impact Differential Cross Section Implemented in NIFS under CUP

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27 KAERI NIFS collaboration

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28 Dielectronic Satellite Lines - NIFS

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29 Mirror Site of NIST ASD

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30 SUMMARY Usage of W is expanding - ITER, ASDEX, TRIAM, etc - DATA of W are necessary electron impact ionization cross section spectra of highly charged ions MCDF code is a good tool to solve the problem - Relativistic calculation - ab initio calculation Verification of Data by experiments and theory is necessary - by MCDF - in LHD,TRIAM,ASDEX-U - in laser facilities International collaboration Japan (NIFS, ILE) China (LFRC, SIOM) Europe (ASDEX-U, JET)