Alex M Imai, Y. Ohta and A. Itoh Department of Nuclear Engineering, Kyoto University

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1 Alex M Imai, Y. Ohta and A. Itoh Department of Nuclear Engineering, Kyoto University Joint IAEA-NFRI Technical Meeting on Data Evaluation for Atomic, Molecular and Plasma-Material Interaction Processes in Fusion, National Fusion Research Institute, Daejeon, 5 Sep

2 C 1,2,3+ + H 2, CO 2, CH 4, C 2 H 6, C 3 H 8 Energy = (0.5) 5-32 kev Cr 1,2+ + He, Ne, Ar, Kr, H 2, CO, CO 2, CH 4, C 2 H 6, C 3 H 8 Be 1,2+ + He, Ne, Ar, Kr, H 2, CO, CO 2, CH 4, C 2 H 6, C 3 H Ni 1,2+ + He, Ne, Ar, Kr, H 2, CO, CO 2, N 2, CH 4, C 2 H 6, C 3 H Fe 1,2+ + He, Ne, Ar, Kr, H 2, CO, CO 2, N 2, CH 4, C 2 H 6, C 3 H 8 Be 1,2+ + He, Ne, Ar, Kr, H 2, CO, CO 2 B 1,2+ + He, Ne, Ar, Kr, H 2, CO, CO present W +, W 2+ + He, Ne, Ar, Kr, H 2, D 2, N 2, CH 4, C 2 H 6, C 3 H 8 IAEA CRP on Atomic Data for Heavy Element Impurities ( ) required data for elements with atomic mass 13; (Ar, Kr, Xe), Si, Cl, Cr, Fe, Ni, Cu, Mo and W and CRP for W continues until 2014.

3 Only two Experimental papers available except ours. Meyer et al. at 8.5, 11 MeV in PRA 19, 515 (1979). W q+ + H, H2, Ar (q = 4 15) Kheyrandish, Armour and Jones at 40 kev in Vacuum 34, 269 (1984). W + + Ar ( ) x cm 2?

4 Pump beam 0.9 MeV (20 kev/u) CO 2 + Accel. HV < 16 KV Neutral particle rejector Accelerating electrodes Deflector Einzel lens Collision cell Base Pressure < Pa Signal 1 W Wire Ion source chamber Wien Fflter MCP Biased resistive anode Collision chamber Signal 2

5 Ion Yield 7.5 kev W + Extraction 1E+4 1E+3 WO + W + 1E+2 W 2 + WO 2 + W 2+ 1E+1 1E Wien Filter Electric Field q m

6 Rate equation for W i+ intensity where Relative intensity of W i+ ion Target thickness (= Density Length in /cm 2 ) Charge transfer cross section (cm 2 ) W j+ W i+ Under the single collision condition, these simultaneous equations reduce to where I i : ji : F :, I1, 0 2 I : I 2 I I df i d Intensity of W 2+, W + and W 0, respectively. j i i i F F - F 1,, j ji i ij , 12 1 I0 I2 I1 I0 I,

7 Growth curve for 5 kev W + Bench mark for 7.5 kev H + + H 2 collision I 2 I I I0,

8 Electron capture cross sections for C q+ ions (q=1 4) from H2, CH 4, C 2 H 6, C 3 H 8, and CO 2 targets A. Itoh et al., J. Phys. Soc. Jpn 64, 3255 (1995)

9 He Ne Ar Kr C r o s s S e c t i o n (cm 2 ) , 2+ (a) Be +, 2+ (b) B H 2 CH 4 C 2 H 6 C 3 H 8 CO CO , 2+ (a') Be +, 2+ (b') B 20 theories E n e r g y (kev/u) M. Imai et al., J. Plasma Fusion Res. SERIES Vol.7, pp (2006)

10 Layton et al. He Ar Kr C r o s s S e c t i o n (cm 2 ) (a) Fe + (b1) Ni + H 2 CH 4 C 2 H 6 C 3 H 8 CO CO 2 N 2 (b2) Ni (a') Fe + (b1') Ni + (b2') Ni E n e r g y (ev/u) M. Imai et al., J. Plasma Fusion Res. SERIES Vol.7, pp (2006)

11 Cross Section (cm 2 ) Cross Section (cm 2 ) 10 kev W + Single Electron Capture 5 kev W + Single Electron Capture C 2 H 6 C 2 H CH Kr Ar CH N 2 IP H 2 IP Ne (7.5 kev) He Target Ionization Potential (ev) IP Target Ionization Potential (ev)

12 Cross Section (cm 2 ) 15 kev W 2+ Single Electron Capture C 2 H CH 4 Kr He Target Ionization Potential (ev)

13 I. Yu Tolstikhina et al., JPB 45 (2012)

14 Single Electron Capture Cross Sections for W + Ions Cross Section (cm 2 ) H 2 D 2 CH 4 C 2 H 6 C 3 H Energy (kev)

16 Cross Section (cm 2 ) Cross Section (cm 2 ) 10 kev W + Single Electron Capture 5 kev W + Single Electron Capture C 2 H 6 C 2 H CH Kr Ar CH N 2 IP H 2 IP Ne (7.5 kev) He Target Ionization Potential (ev) IP Target Ionization Potential (ev)

17 Cross Section (cm 2 ) Cross Section (cm 2 ) 10 kev W + Single Electron Capture 5 kev W + Single Electron Capture C 3 H 8 C 2 H CH C 3 H 8 Kr Ar C 2 H N 2 H 2 IP IP CH 4 D 2 IP Ne (7.5 kev) He D 2 H Target Ionization Potential (ev) Target Ionization Potential (ev)

18 Cross Section (cm 2 ) 1E-13 1E-14 H + + H (1s mostly) 1E-15 1E-16 1E-17 1E-18 Elastic Excitation to H(2s, 2p) Excitation to H(n=2,3,4) Target Ionization 2p 2s n=2 n=3 n=4 1E-19 Capture (total) Capture into H(2s, 2p) 1E-20 1E-1 1E+0 1E+1 1E+2 1E+3 1E+4 1E+5 1E+6 1E+7 Collision Energy (ev/u)

19 Empirical scaling law for exothermic electron capture cross-sections (at low-energy limit) by A. Mueller and E. Salzborn (1977) IP for single capture IP for double capture IP for triple capture IP for 4-fold capture by T. Kusakabe et al. (1986) IP -2.0 for single capture by I. Yamada et al. (1999) IP for single capture

20 1.E-14 1.E-15 1.E-16 1.E-17 1.E-18 1.E W σ10 (10 kev) W σ21 Ni σ10 Ni σ21 Fe σ10 Fe σ21 B σ10 B σ21 Be σ10 Be σ21

21 1.E-14 1.E-15 1.E-16 1.E-17 1.E-18 1.E IP ΔIP W σ 10 kev W σ 15 kev W σ10 (10 kev) Ni σ 15 kev W σ21 Ni σ 15 kev Ni σ10 Fe σ 15 kev Fe σ 15 kev B σ 15 kev B σ 15 kev Ni σ21 Fe σ10 Fe σ21 B σ B σ21 Be σ 15 kev Be σ10 Be σ 15 kev Be σ21

22 1.E-14 1.E-15 1.E-16 1.E-17 1.E-18 W σ10 (10 kev) W σ21 Ni σ10 Ni σ21 Fe σ10 Fe σ21 1.E

23 1.E-14 1.E-15 1.E-16 1.E-17 1.E-18 IP ΔIP W σ 10 kev W σ 15 kev Ni σ 15 kev Ni σ 15 kev W σ10 (10 kev) Fe σ 15 kev Fe σ 15 kev W σ Ni σ Ni σ21 Fe σ10 Fe σ E

24 1.E-14 1.E-15 1.E-16 1.E-17 1.E-18 1.E W σ10 (10 kev) W σ21 W σ10 Ni σ10 (10 kev) W σ21 Ni σ21 Ni σ10 Fe σ10 Ni σ21 Fe σ21 Fe σ10 B σ10 Fe σ21 B σ21 Be σ10 Be σ21

25 Absolute total single electron capture cross-sections for W+ and W2+ ions were derived experimentally. Cross-sections (for these endothermic collisions) showed steep dependence on the target ionization potential, which is different for rare-gas and molecular gas targets. No characteristic target isotope effect was observed in the energy range > 5 kev. Anomalous energy dependence in low-energy region has been observed for the first time. Cross-section scaling on ΔIP (Q-value) might be possible.

低電離タングステンイオンの電子捕獲断面積測定 Cross Sections for Electron Capture Collision of W Ions

低電離タングステンイオンの電子捕獲断面積測定 Cross Sections for Electron Capture Collision of W ons 京都大学工学研究科原子核工学専攻今井誠, 入来仁隆 Makoto MA, Yoshitaka RK Department of Nuclear Engineering, Kyoto University 原子分子データ応用フォーラムセミナー, NFS,