Abstract
Tungsten is suitable for wall material as well as divertor material in magnetic fusion devices due to its low sputtering and good thermal properties. The electron impact ionization process in the low charged states of W is important for modeling of the divertors. We present results of our calculation for the electron induced total ionization cross sections of \(\hbox {W}^{\mathrm {+}}\). The direct ionization cross sections have been calculated in variants of the binary encounter Bethe methods as well as variants of the distorted wave approximation. The individual cross sections for the direct ionization of some outer subshells of \(\hbox {W}^{\mathrm {+}}\) are also reported, and it is observed that the major contribution to the total cross section comes from the 5d, 6s and 4f subshells. Present cross section results have been compared with the available measurements and theoretical results.
Graphic Abstract
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data, or the data will not be deposited. [Authors’ comment: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.]
References
C.P. Balance, S.D. Loch, M.S. Pinzola, D.C. Griffin, J. Phys. B: At. Mol. Opt. Phys. 46, 055202 (2013)
C.P. Ballance, D.C. Griffin, J. Phys. B At. Mol. Opt. Phys. 39, 3617–3628 (2006)
A. Bar-Shalom et al., J. Quant. Spec. Radiat. Transf. 71, 169 (2001)
A. Borovik Jr., B. Ebinger, D. Schury, S. Schippers, A. Muller, Phys. Rev. A 91, 012708 (2015)
A. BorovikJr, C. Brandau, J. Jacobi, S. Schippers, A. Muller, J. Phys. B At. Mol. Opt. Phys. 44, 205205 (2011)
E. Clementi, D.L. Raimondi, J. Chem. Phys. 38(11), 2686 (1963)
E. Clementi, D.L. Raimondi, W.P. Reinhard, J. Chem. Phys. 47(4), 1300 (1967)
R.D. Cowan, The Theory of Atomic Structure and Spectra (Univ. of Cali. Press, Berkeley, 1981)
H.W. Drawin, Phys. Scr. 24, 622 (1981)
G. Federici, Phys. Scr. T124, 1 (2006)
A. Goehlich, N. Niemoller, H.F. Dobele, J. Nucl. Mater. 266–269, 501 (1999)
M. Guerra, F. Parente, P. Indelicato, J.P. Santos, Int. J. Mass Spectrom. 313, 1–7 (2012)
V. Jonauskas, A. Kyniene, G. Merkelis, G. Gaigalas, R. Kisielius, S. Kucas, S. Masys, L. Radziute, P. Rynkun, Phys. Rev. A 91, 012715 (2015)
V. Jonauskas, A. Kyniene, S. Kucas, S. Pakalka, S. Masys, A. Prancikevicius, A. Borovik Jr., M.F. Gharaibeh, S. Schippers, A. Muller, Phys. Rev. A 100, 062701 (2019)
S.P. Khare, J.M. Wadehra, Phys. Lett. A 198, 212 (1995)
S.P. Khare, M.K. Sharma, S. Tomer, J. Phys. B At. Mol. Opt. Phys. 32, 3147 (1999)
Y.K. Kim, M.E. Rudd, Phys. Rev. A50, 3954–67 (1994)
A.E. Kramida, T. Shirai, J. Phys. Chem. Ref. Data 35, 423 (2006)
D.H. Kwon, Y.J. Rhee, Y.K. Kim, Int. J. Mass Spectrometry. 245, 26 (2005)
D.H. Kwon, Y.J. Rhee, Y.K. Kim, Int. J. Mass Spectrom. 252, 213 (2006)
S.D. Loch, J.A. Ludlow, M.S. Pindzola, A.D. Whiteford, D.C. Griffin, Phys. Rev. A72, 052716 (2005)
W. Lotz, Z. Phys. 216, 241 (1968)
G. F. Matthews et al., Phys. Scr. T 128137 (2007)
E.J. McGuire, Phys. Rev. A 20, 445 (1979)
R.G. Montague et al., J. Phys. B At. Mol. Opt. Phys. 17, 2707 (1984)
A. Muller, Atoms 3, 120 (2015)
R. Neu et al., J. Nucl. Mater. 363–365, 52 (2007)
M.G. O’Mullane, H.P. Summers, A.D. Whiteford, A.G. Meigs, K.D. Lawson, K.D. Zastrow, R. Barnsley, I.H. Coffey, Rev. Sci. Instrum. 77, 10F520 (2006)
M.S. Pindzola, D.C. Griffin, Phys. Rev. A 46, 2486 (1992)
M.S. Pindzola, D.C. Griffin, Phys. Rev. A 56, 1654 (1997)
R.A. Pitts et al., J. Nucl. Mater. 415, 5957 (2011)
G. Purohit, D. Kato, I. Murakami, Plasm. Fus. Res. 13, 3401026 (2018)
G.. Purohit, D.. Kato, I.. Murakami, Shivani Gupta, P.. Sinha, Eur. Phys. J. D 75, 9 (2021)
J. Rausch, A. Becker, K. Spruck, J. Hellhund, A. BorovikJr, K. Huber, S. Schippers, A. Muller, J. Phys. B At. Mol. Opt. Phys. 44, 165202 (2011)
M.E. Riley, D.G. Truhlar, J. Chem. Phys. 63, 2182 (1975)
K. Spruck, A. Becker, A. BorovikJr, M.F. Gharaibeh, J. Rausch, S. Schippers, A. Muller, J. Phys. Conf. Ser. 488, 062026 (2014)
M. Stenke, K. Aichele, D. Harthiramani, G. Hofmann, M. Steidl, R. Volpeland, E. Salzborn, J. Phys. B At. Mol. Opt. Phys. 28, 2711 (1995)
M. Stenke, K. Aichele, D. Harthiramani, G. Hafmann, M. Steidl, R. Volpel, V.P. Shevelko, H. Tawara, E. Salzborn, J. Phys. B At. Mol. Opt. Phys. 28, 4853 (1995)
L. Vainshtein, I. Beigman, Ph. Mertens, S. Brezinse, A. Pospieszczyk, D. Borodin, J. Phys. B At. Mol. Opt. Phys. 44, 125201 (2011)
Acknowledgements
GP acknowledges grant received from Science and Engineering Research Board (SERB), New Delhi in the form of SERB CRG project (File No. CRG/2019/001059). Part of this work was performed during GP’s JSPS Invitational Fellowship stay in National Institute for Fusion Science (NIFS), Toki, Japan. GP acknowledges NIFS for providing hospitality. GP acknowledges JSPS Long Term Fellowship AY 2017 (L17538) provided by Japan Society for Promotion of Science. DK is grateful for the support by Grant-in-Aid for Scientific Research from JSPS (18H01201). KCD acknowledges Junior Rsearch Fellowship from UGC, New Delhi, India. SG acknowledges the financial assistance received under INSPIRE fellowship grant, Department of Science and Technology,Government of India.
Author information
Authors and Affiliations
Contributions
All the authors contributed equally in the calculations and analysis of the results.
Corresponding author
Rights and permissions
About this article
Cite this article
Purohit, G., Kato, D., Murakami, I. et al. Electron impact single ionization cross sections of \(\hbox {W}^{\mathrm {{+}}}\). Eur. Phys. J. D 75, 219 (2021). https://doi.org/10.1140/epjd/s10053-021-00204-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjd/s10053-021-00204-6