Two-dimensional structure of the detached recombining helium plasma associated with molecular activated recombination

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Journal of Nuclear Materials 266±269 (1999) 1161±1166 Two-dimensional structure of the detached recombining helium plasma associated with molecular activated recombination D. Nishijima a, *, N. Ezumi a, H. Kojima a, N. Ohno a, S. Takamur a, S.I. Krasheninnikov b, A.Yu. Pigarov b a Department of Energy Engineering and Science, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan b Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Abstract The structural change of the detached plasmas associated with the molecular activated recombination (MAR) has been studied in a high density helium plasma with helium or hydrogen pu in the linear divertor plasma simulator, NAGDIS-II. The ion particle ux with the hydrogen gas pu starts to decrease in the upstream region close to the plasma source, compared to that with the helium pu. The reduction of the ion particle ux along the magnetic eld is found to depend on the plasma density. With the hydrogen gas pu, the attenuation of the ion particle ux is getting smaller as increasing plasma density, which is opposite tendency in pure helium detached plasma where the conventional electron±ion recombination (EIR) is dominating. Ó 1999 Elsevier Science B.V. All rights reserved. Keywords: Detached plasma; Volume recombination; NAGDIS-II 1. Introduction Plasma detachment is one of the most important issues of the divertor performance in the magnetically con ned fusion devices. Recent experiments on the detached plasma in the tokamaks with a divertor con guration show that a volumetric plasma recombination in the detached plasma plays an important role in the strong decrease of the ion particle ux to the target plate [1±5]. In these devices, a continuum and a series of visible line emissions from highly excited levels due to electron±ion recombination (EIR), which includes radiative and three-body recombinations, have been clearly observed in the detached plasmas, where the electron temperature T e was estimated from the analysis of these spectra to be about 1 ev [1,2,5]. * Corresponding author. Tel.: +81 52 789 5429; fax: +81 52 789 3944; e-mail: d-nisiji@echo.nuee.nagoya-u.ac.jp. On the other hand, the importance of molecular activated recombination (MAR) associated with vibrationally excited hydrogen molecules [H 2 (v) + e H +H followed by H +A H + A, and H 2 (v) + A AH + H followed by AH +e A + H, where A (A) is the hydrogen or the impurity ion (atom)] has been theoretically pointed out and discussed [6±10]. The MAR is expected to be a dominating volume recombination process because the rate coe cient of MAR is much larger than that of EIR at T e > 0.5 ev as shown in Fig. 1. We have shown the experimental evidence of the MAR in the helium plasma with the hydrogen gas pu in a linear divertor plasma simulator, NAGDIS-II [11]. The detached plasmas were also analyzed with the 2 D uid B2 code by taking both EIR and MAR e ects into account, which indicates the MAR has strong e ect on the structure of the detached plasma [12]. Fig. 2 shows the simulation results on the axial pro les along the magnetic eld of the electron density and temperature of the helium plasma with the hydrogen gas pu. With the small amount of hydrogen pu, the structure of the 0022-3115/99/$ ± see front matter Ó 1999 Elsevier Science B.V. All rights reserved. PII: S 0 0 2 2-3 1 1 5 ( 9 8 ) 0 0 5 6 5-0

1162 D. Nishijima et al. / Journal of Nuclear Materials 266±269 (1999) 1161±1166 Fig. 1. Rate coe cients of electron±ion recombination (EIR), K EIR, molecular activated recombination (MAR), K MAR, and electron impact ionization of helium atom for helium plasma with molecular hydrogen as a function of electron temperature. detached plasma is found to be dramatically changed. However, there are no clear experimental investigations on the structural change of the detached plasmas associated with the MAR e ects, comparing to the EIR. In this paper, we will show the spatial pro les of detached helium plasmas with the hydrogen gas pu compared to those with the helium gas pu. The plasma density dependence of the reduction rate of the ion ux along the magnetic eld in the pure helium plasma and helium plasma/hydrogen gas mixture is also presented. 2. Experimental setup The experiments were performed in the linear divertor plasma simulator, NAGDIS-II as shown in Fig. 3 [13]. The length and diameter are 2.5 and 0.18 m, respectively. The magnetic eld strength is 0.2 T in the present experiments. Helium is introduced as a primary gas at a pressure of 1 Torr into the discharge region. High density helium plasmas (electron density n e 6 6 10 19 m 3, which is measured by using a double probe measurement) are produced in steady state by the modi ed TP-D type discharge and ow into the divertor test region through the apertures of the electrically oated intermediate electrode and the anode connected to the ground, whose diameter are 20 and 24 mm, respectively. The plasma column is terminated by the electrically oated target plate, which is made of stainless steel, with a water cooling at the axial position of X ˆ 2.05 m from the discharge anode electrode. The divertor plasma test region is equipped with two 2000 l/s turbo molecular pumps, whose pumping speed can be Fig. 2. Typical simulation result on the axial pro les along the magnetic eld of: (a) electron density n e and (b) T e at the partial pressure of the hydrogen P H2 0:0, 0.5 and 1.0 mtorr, when the plasma parameters at X 0 m are: n e 2 10 19 m 3, T e 10 ev, ion temperature T i 2 ev and helium gas pressure P He is 10 mtorr. controlled. The neutral gas pressure P in the divertor test region, measured with a baratron pressure gauge at X ˆ 1.06 m, can be controlled from less than 1 mtorr to 30 mtorr by introducing a secondary gas, which is injected near the target plate, into the divertor test region and/or changing the pumping speed. The change of P in the divertor test region has little e ect on the plasma production in the discharge region because of three orders of magnitude pressure di erence between the discharge region and the divertor test region. Spectra of visible light emissions are detected at two di erent axial positions of X ˆ 1.06 m (upstream) and 1.72 m (downstream). Three sets of fast scanning probes, which provide the radial pro les of plasma column, are also equipped at X ˆ 1.06, 1.39 (midstream) and 1.72 m to measure the plasma parameters.

D. Nishijima et al. / Journal of Nuclear Materials 266±269 (1999) 1161±1166 1163 Fig. 3. Schematic of the linear divertor plasma simulator, NAGDIS-II. 3. Experimental results and discussion 3.1. The structural change of the detached plasmas associated with the MAR e ects We generated the helium plasma at a discharge current I d 80 A without any secondary gas pu (initial condition), when the neutral helium gas pressure was kept to be around 4 mtorr using the control of the pumping speed. Fig. 4 shows the spectra of visible light emissions from 310 to 370 nm observed in the downstream (X ˆ 1.72 m) in the initial condition and when helium or hydrogen as the secondary gas were introduced. We should notice that the helium or the hydrogen gas pu into the divertor test region had little e ect on the plasma production in the discharge region again. As shown in Fig. 4(b), with the helium gas pu of 2 mtorr, the continuum and the series of visible line emissions from highly excited levels, up to the principal quantum number n 16, due to the EIR were strongly observed compared to the initial condition in the downstream. On the other hand, in the case of hydrogen gas pu of 2 mtorr in the downstream there was little change in the emission intensity compared to the initial condition as shown in Fig. 4(c). This means the EIR is not enhanced by the hydrogen gas pu, which is di erent from the case of the helium gas pu. The emissions at 336 nm and 337 nm may be due to NH, which is impurity. The radial pro les of the ion ux, corresponding to the plasma conditions in Fig. 4, measured in the upstream, midstream and downstream are shown in Fig. 5. When the helium gas was introduced into the plasma with the initial condition, the radial pro les are similar to those in the initial condition both in the upstream and in the midstream. In the downstream, however, the EIR strongly occurs with the helium pu as shown in Fig. 4(b), therefore the ion ux drops. On the other hand, with the hydrogen gas pu the ion ux in the Fig. 4. Emission spectra in the helium plasma at a discharge current I d 80 A in the downstream (X ˆ 1.72 m): (a) initial condition; (b) with the helium pu ; (c) with the hydrogen pu. upstream, where T e is relatively high (around 4 ev obtained with a double probe measurement), already starts to decrease due to the MAR e ect compared to that in the case of the pure helium plasmas. Then the ion ux in the helium plasma with the hydrogen gas pu is grad-

1164 D. Nishijima et al. / Journal of Nuclear Materials 266±269 (1999) 1161±1166 Fig. 5. Radial pro les of the ion ux measured in the upstream (X ˆ 1.06 m), midstream (X ˆ 1.39 m) and downstream (X ˆ 1.72 m) in the same plasma condition as Fig. 4. Open circles and triangles are obtained at P 4 mtorr without gas pu and at P 6 mtorr with helium gas pu. Closed squares are obtained in the helium plasma with hydrogen gas pu, where the partial pressure of the hydrogen is 2 mtorr. ually decreasing from the upstream to the downstream, where the EIR does not strongly occur compared to the helium gas pu as shown in Fig. 4(c). Although the ion uxes in the downstream are almost the same in both cases of the helium and hydrogen gas pu, the gradients of the ion ux along the magnetic eld are di erent. Fig. 6 shows the ratio of C d to C u, where C d and C u are the ion uxes at the center of the plasma column in the downstream and the upstream, respectively, corresponding to the experimental data in Fig. 5. It is found that the decay length of the ion ux with the hydrogen gas pu is longer than that with the helium gas pu. These experimental results are in a qualitative agreement with the simulation results predicted by the 2 D uid B2 code, which takes both EIR and MAR e ects in a helium plasma into account [12]. Fig. 6. Ratio of the ion ux in the downstream to upstream, C d / C u, corresponding to Fig. 5. 3.2. Dependence of the ion ux reduction along the magnetic eld on the plasma density due to the MAR and EIR In order to investigate the dependence of the reduction of the ion ux along the magnetic eld on the plasma density in the helium plasma with the helium or hydrogen gas pu, we generated the helium plasma with the neutral helium gas pressure of 4 mtorr at I d 20, 50 and 80 A. The plasma densities in the upstream are around 4.0 10 18, 1.8 10 19 and 3.3 10 19 m 3, respectively. Figs. 7 and 8 show the radial pro les of the ion ux in the upstream and the ratio C d /C u of the ion uxes in the downstream and the upstream at I d 20, 50 and 80 A in the cases of the helium pu of 2 mtorr and the hydrogen pu of 2 mtorr, respectively. As mentioned above, at any discharge currents, the ion ux of helium plasma/hydrogen gas mixture in the upstream is already smaller than that of pure helium plasma because of the MAR e ect. It is found from Fig. 7 that in the case of the helium gas pu, the low density plasma at I d 20 A has a weak reduction of the ion ux from the upstream to the downstream compared to the high density plasma at I d 50 and 80 A. This is because in the low density plasma electrons cannot lose their energy due to electron-ion temperature relaxation process followed by the ion-neutral charge exchange process, because the electron-ion temperature relaxation coe cient is proportional to n 2 e T 3=2 e, then T e remains high and moreover the rate coe cient of the EIR, K EIR, is proportional to n e T 9=2 e, therefore the EIR cannot strongly occur [14]. On the other hand, in the helium plasma/hydrogen gas mixture, the ratio C d /C u in the low density plasma is smaller than that in the high density plasma as shown in Fig. 8(b). One explanation for this result may be the

D. Nishijima et al. / Journal of Nuclear Materials 266±269 (1999) 1161±1166 1165 Fig. 7. (a) Radial pro les of the ion ux in the upstream; (b) reduction rate of the ion ux, C d /C u at I d 20, 50 and 80 A with the helium gas pu. Closed squares, open triangles and closed circles are obtained at I d 20, 50 and 80 A, respectively. di erence of the molecular hydrogen density between the low and high density plasmas. The volumetric particle loss rate due to the MAR is proportional to the electron and the molecular hydrogen densities, and is described as K MAR n e n H2, where K MAR is the rate coe cient of MAR and n H2 is the molecular hydrogen density. The density of the molecular hydrogen in the high density plasma is thought to become smaller than that in the low density plasma because the attenuation of the molecular hydrogen due to the dissociation and molecular ionization processes is likely to occur in the high density plasma. Furthermore, we must also consider the momentum (pressure) balance in the radial direction [15], which is expected to attenuate the molecular hydrogen in ux at room temperature into the plasma due to the energetic hydrogen atom out ux at a few ev generated by the dissociation of hydrogen molecules. Accordingly, the MAR can be more e ective in the low density Fig. 8. (a) Radial pro les of the ion ux in the upstream; (b) reduction rate of the ion ux, C d /C u at I d 20, 50 and 80 A with the hydrogen gas pu. Closed squares, open triangles and closed circles are obtained at I d 20, 50 and 80 A, respectively. plasma than in the high density plasma. It should also be noted that the rate coe cient of the MAR has an inverse plasma density dependence as shown in Fig. 1. 4. Conclusion In order to investigate the e ect of molecular activated recombination associated with hydrogen molecule on the structure of the detached plasma, we have performed the experiments in the detached helium plasma with the hydrogen gas pu in the linear divertor plasma simulator. We have made a detailed comparison between the hydrogen gas pu and helium gas pu into the helium plasma. Our conclusions are as follows: (a) With the helium gas pu, electron±ion recombination including radiative and three-body recombi-

1166 D. Nishijima et al. / Journal of Nuclear Materials 266±269 (1999) 1161±1166 nation strongly occurs in the downstream near the target plate, then the ion ux has a steep drop along the magnetic eld in the downstream region. (b) In the case of the hydrogen gas pu, the ion ux gradually decreases over an entire plasma column, when the electron±ion recombination is suppressed compared to the helium gas pu. (c) With the hydrogen pu, the reduction of the ion particle ux along the magnetic eld is getting smaller as increasing in the plasma density, which is opposite tendency in the pure helium detached plasma. This may be associated with the penetration of the hydrogen molecule into the plasma column. Acknowledgements The authors wish to thank Dr. Y. Uesugi for discussing the results and Mr. M. Takagi for his technical support in our experiments and Mr. T. Imai and Mr. H. Sawada for their maintenance on the NAGDIS-II. References [1] J.L. Terry, B. Lipschultz, A.Yu. Pigarov, S.I. Krasheninnikov, B. LaBombard, D. Lumma, H. Ohkawa, D. Pappas, M. Umansky, Phys. Plasmas 5 (1998) 1759. [2] D. Lumma, J.L. Terry, B. Lipschultz, Phys. Plasmas 4 (1997) 2555. [3] G.M. McCracken, M.F. Stamp, R.D. Monk, A.G. Meigs, J. Lingertat, R. Prentice, A. Starling, R.J. Smith, A. Tabasso, Nuclear Fusion 38 (1998) 619. [4] R.C. Isler, G.R. McKee, N.H. Brooks, W.P. West, M.E. Fenstermacher, R.D. Wood, Phys. Plasmas 4 (1997) 2989. [5] B. Napiontek, U. Wenzel, K. Behringer, D. Coster, J. Gafert, R. Schneider, A. Thoma, M. Weinlich and AS- DEX Upgrade-Team, Proc. of 24th Euro. Phys. Soc. Conf. on Controlled Fusion and Plasma Physics, Berchtesgaden, vol. 21A, Part IV, 1997, pp. 1413±1416. [6] R.K. Janev, D.E. Post, W.D. Langer, K. Evans, D.B. Heifetz, J.C. Weisheit, J. Nucl. Mater. 121 (1984) 10. [7] D.E. Post, J. Nucl. Mater. 220±222 (1995) 143. [8] S.I. Krasheninnikov, A.Yu. Pigarov, D.J. Sigmar, Phys. Lett. A 214 (1996) 285. [9] A.Yu. Pigarov, S.I. Krasheninnikov, Phys. Lett. A 222 (1996) 251. [10] S.I. Krasheninnikov, A.Yu. Pigarov, D.A. Knoll, B. LaBombard, B. Lipschultz, D.J. Sigmar, T.K. Soboleva, J.L. Terry, F. Wising, Phys. Plasmas 4 (1997) 1638. [11] N. Ohno, N. Ezumi, S. Takamura, S.I. Krasheninnikov, A.Yu. Pigarov, Phys. Rev. Lett. 81 (1998) 818. [12] D. Nishijima, N. Ezumi, K. Aoki, N. Ohno, S. Takamura, Contrib. Plasma Phys. 38 (1998) 55. [13] N. Ezumi, N. Ohno, Y. Uesugi, J. Park, S. Watanabe, S.A. Cohen, S.I. Krasheninnikov, A.Yu. Pigarov, M. Takagi, S. Takamura, Proc. of 24th Euro. Phys. Soc. Conf. on Controlled Fusion and Plasma Physics, Berchtesgaden, vol. 21A, Part III, 1997, pp. 1225±1228. [14] N. Ezumi, S. Mori, N. Ohno, M. Takagi, S. Takamura, H. Suzuki, J. Park, J. Nucl. Mater. 241±243 (1997) 349. [15] S.J. Fielding, P.C. Johnson, D. Guilhem, J. Nucl. Mater. 128±129 (1984) 390.