Theoretical Electron Impact Ionization, Recombination, and Photon Emissivity Coefficient for Tungsten Ions

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1 TM on Unctanty ssssmnt and Bnchmak Expmnts fo &M Data fo Fuson pplcatons Thotcal Elcton Impact Ionzaton, Rcombnaton, and Photon Emssvty Coffcnt fo Tungstn Ions D.-H. Kwon, Koa tomc Engy Rsach Insttut IE Hadquats, Vnna, usta

2 Intoducton Plasma wall ntacton & mputs * H E n n, f 1 2fH Zf T. Püttch, IPP thss pot 2006) Z R. Nu, IPP pot 2003)

3 Intoducton s s KSTR campagn 2015 W powd ncton xpmnt by KIST and ITER Koa tams spctoscopc modlng fo analyss of th xpmnt has bn cad out bng combnd wth a tanspot ffct.

4 tomc pocsss n plasma Collsonal D)xctaton Dct Ionzaton/ 3-Body-, Radatv Rcombnaton Radatv Dcays utoonzaton/ Dlctonnc Rcombnaton q+1)+ q+ q-1)+

5 Spctoscopc modlng n Z Emssvty ε fo ln tanston tn, t PEC T, n ), Photon Emssvty Coffcnt Elcton dnsty 0 Chag Z on dnsty k fom tanspot Collsonal xctaton k modlng CE) at Radatv tanston Smpl coonal Modl fo stat populaton dnsty pobablty CE fom 0 to Radatv tanstons any k blow 0 Gound stat fo any chag stat of Z ons PEC n T T X tomc Data 3 8 cm Z 1 3 1/ Z 1 V xp T wth hydognc appoxmaton 2

6 Tanspot modlng

7 PEC calculaton fo W ons

8 PEC calculaton fo W ons Full J-J coupld lvl solvd schm Fo g. W 25+ Total lvls FC data vs. DS data Confguaton avag schm 1+28 stats

9 PEC calculaton fo W ons

10 PEC calculaton fo W ons

11 PEC calculaton fo W ons

12 PEC calculaton fo W ons

13 Factonal bundanc Tanspot f qulbum stat W 12+ -W 48+ W 5+ -W /a

14 Tanspot modlng fo W ons Elcton tmpatu and dnsty pofl usd fo modlng SDEX-U D & V assumd) Ionzaton & combnaton data DS) Tanspot quaton SNC cod) by KIST tam

15 Tanspot ffct

16 Ionzaton data fo W spctoscopc modlng W + W 17+ W 25+ 4d 10 4f 11 4 I 15/2 4d FC lvl 10 4f 3 4 I 9/2 solvd DS CDW D.-H. Kwon, Y. S. Cho, and Y.. L, IJMS 356, ) D.-H. Zhang and D.-H. Kwon, JPB 47, ). Kynn, S. Pakalka, S. Masys, and V. Jonauskas, JPB 49, ) DS onzaton data by CDW ab-nto calculaton fo W ons s labl wthn 30-50% accuacy bng compad wth oth abnto calculatons and th data st s avalabl fo all onzaton stags by S. D. Loch t al. Phys. Rv ).

17 R-Matx vs. DW fo CE Channls : 2 1),, k E E l L L s S S, ], [ m m k n k k d c f J I D H H 1 1 k k EK E Scattng matcs :, 1) 1 k N k E k N H ) ) ) ) v w Q P k k k EK Wavfuncton of th scattd lcton n channl k N k k k E E w w R P b cq R P c b P Q ) ) 2 1 ) ) ) 2 ) 2 ) ) < 0 Inn gon R-Matx Bounday = 0 0 < < max ut gon Exchang potntal btwn scattd lcton and bound lcton s nglctd , J ab ab b a b a T J S 1 T K 1 K 1 S S S = I : Untay condton s satsfd. DW appoxmaton Channls a not coupld. Untaty s not satsfd. Tagt stat dscpton s mo xpandabl.

18 EII pathways and coss sctons Dct onzaton DI) q q ) 1 Exctaton-autoonzaton E) q q q 1) ** q q q q 1) * ** 1) Total EII coss scton n an Indpndnt Pocss-Isolatd Rsonanc IP-IR) appoxmaton q q q ) 1 ** 1) da DC CE DI tot k k k a f f B B σ σ σ utoonzaton I) banchng ato BR) and doubl I-BR, a a t t s s t a t t s s s a B B B t t k k k B B a a a da Rsonant xctaton-doubl autoonzaton RED) Rsonant xctaton-auto doubl onzaton REDI)

19 Complaton of combnaton data 1 h ** 1 h 4f opn shll, bnchmak xpmntal data by masumnt n TSR s avalabl.

20 DR data fo W spctoscopc modlng IE&KERI Jont CM on DR fo W Spt. 2015) ab-nto calculaton t DS combnaton data basd on a smpl Bugss fomula fo W ons qut dff fom oth ab-nto calculatons and th data s not avalabl fo many onzaton stags. B T) g a t 1 2g 2 4a 0Ry kbt E B xp kbt B t t t a k k f f 3/ 2 Bugss fomula T) f 14 E y) xp T n n Z Bq)Dq,T) 3/ 2 T

21 Nw commndd DR data fo W ons

22 Factonal abundanc

23 Nw/DS Factonal abundanc Factonal abundanc dffnc Elcton tmpatu V) Submttd to Nucla Fuson

24 Spcta snstvty

25 Modlng unctants Elcton tmpatu & dnsty pofls Tanspot D & V coffcnts Tm voluton of mputy PEC byond coonal modl tomc data fo onzaton and combnaton

26 CR modlng fo lowly chagd W ons n = cm -3 T = 1 V n = cm -3 T = 2 V TMIC non-lte calculaton J. bdallah J, J. Colgan, R. E. H. Clak, C. J. Fonts and H. L. Zhang, J. Phys. B )

27 CE fo lowly chagd W ons Collsonal xctaton of W 3+ 5d 3 4 F 3/2 ) 5p 5d

28 DR data of W ons Zn-lk 3d 10 4s 2 Cu-lk 3d 10 4s D.-H. Kwon and W. L, JQSRT, 179, ) D.-H. Kwon and W. L, JQSRT 170, ); bd., 179, )

29 DR data of W ons N-lk 3d 10 4s Unctants fom confguaton ntacton Unctants fom obtal chocs D.-H. Kwon and W. L, JQSRT 179, )

30 DR data of W ons Gound confguaton W 5+ 4f 14 5s 2 5p 6 5d W 6+ 4f 14 5s 2 5p 6 W 7+ 4f 14 5s 2 5p 5 o 4f 13 5s 2 5p 6

31 DR data of W ons W 20+ 4d 10 4f 8 ) IC total IC 4d 4f TSR xpmnt LS total PD IC 4d 4f IC 4f 4f LS 4f 4f LS 4d 4f C 4d 4f 4d 4f N. R. Badnll t al., PR 85, ) Δn =0, 4d 4f, 4f 4f Δn=1, 4d 5l, 4f 5l u calculaton 4d 4f sonancs : f 4f sonancs : FC adatv dcay outn was paalllzd.

32 Summay and outlook W hav calculatd DR and PEC of W ons fo spctoscopc modlng. Rcntly commndd DR at coffcnts fo W ons hav bn usd fo a spctoscopc modlng and th snstvts of th ln ntnsts to DR at coffcnt hav bn nvstgatd. DR fo W q+ q=8-12, [K]4d 10 4f m 5s 2 5p n ) wll b calculatd.

33 Collaboatons Dpt. of Physcs, Fuson Plasma Tanspot Rsach Cnt Pof. W. Cho) ITER Koa VUV Dagnostc Tam D. C. R. Son), KSTR Tam u wbst fo atomc data and modlng

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