中国物理B ›› 2025, Vol. 34 ›› Issue (8): 85201-085201.doi: 10.1088/1674-1056/add4e5

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Simulation of capacitively coupled Ar/O2 discharges based on global/equivalent circuit model and an extended reaction set

Yi Wang(王怡), Wan Dong(董婉), Yi-Fan Zhang(张逸凡), Liu-Qin Song(宋柳琴), and Yuan-Hong Song(宋远红)†   

  1. Key Laboratory of Materials Modification by Laser, Ion and Electron Beams (Ministry of Education), School of Physics, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:2025-03-12 修回日期:2025-04-16 接受日期:2025-05-07 出版日期:2025-07-17 发布日期:2025-08-12
  • 通讯作者: Yuan-Hong Song E-mail:songyh@dlut.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12020101005, 12475202, 12347131, and 12405289).

Simulation of capacitively coupled Ar/O2 discharges based on global/equivalent circuit model and an extended reaction set

Yi Wang(王怡), Wan Dong(董婉), Yi-Fan Zhang(张逸凡), Liu-Qin Song(宋柳琴), and Yuan-Hong Song(宋远红)†   

  1. Key Laboratory of Materials Modification by Laser, Ion and Electron Beams (Ministry of Education), School of Physics, Dalian University of Technology, Dalian 116024, China
  • Received:2025-03-12 Revised:2025-04-16 Accepted:2025-05-07 Online:2025-07-17 Published:2025-08-12
  • Contact: Yuan-Hong Song E-mail:songyh@dlut.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12020101005, 12475202, 12347131, and 12405289).

摘要: Radio frequency capacitively coupled plasmas (RF CCPs) operated in Ar/O$_{2}$ gas mixtures which are widely adopted in microelectronics, display, and photovoltaic industry, are investigated based on an equivalent circuit model coupled with a global model. This study focuses on the effects of singlet metastable molecule $\mathrm{O}_{2}\big( {\rm b}^{1}\mathrm{\Sigma }_{\rm g}^{+} \big)$, highly excited Herzberg states $\mathrm{O}_{2}\big( {\mathrm{A}{}^{3}\mathrm{\Sigma }_{\mathrm{u}}^{+}, {\rm A}}{}^{3}\mathrm{\Delta }_{\mathrm{u}},\mathrm{c}^{1}\mathrm{\Sigma }_{\mathrm{u}}^{-} \big)$, and the negative ion $\mathrm{O}_{2}^{-}$, which are usually neglected in simulation studies. Specifically, their impact on particle densities, electronegativity, electron temperature, voltage drop across the sheath, and absorbed power in the discharge is analyzed. The results indicate that $\mathrm{O}_{2}\left( {\rm b}^{1}\mathrm{\Sigma }_{\rm g}^{+} \right)$ and $\mathrm{O}_{2}^{-}$ exhibit relatively high densities in argon-oxygen discharges. While $\mathrm{O}_{2}\big( {\mathrm{A}{}^{3}\mathrm{\Sigma }_{\mathrm{u}}^{+}, {\rm A}}{}^{3}\mathrm{\Delta }_{\mathrm{u}},\mathrm{c}^{1}\mathrm{\Sigma }_{\mathrm{u}}^{-} \big)$ play a critical role in $\mathrm{O}_{2}\left( {\rm b}^{1}\mathrm{\Sigma }_{\rm g}^{+} \right)$ production, especially at higher pressure. The inclusion of these particles reduces the electronegativity, electron temperature, and key species densities, especially the $\mathrm{O}^{-}$ and $\mathrm{O}^{\ast}$ densities. Moreover, the sheath voltage drop, as well as the inductance and resistance of the plasma bulk are enhanced, while the sheath dissipation power and total absorbed power decrease slightly. With the increasing pressure, the influence of these particles on the discharge properties becomes more significant. The study also explores the generation and loss of main neutral species and charged particles within the pressure range of 20 mTorr-100 mTorr (1 Torr = 1.33322$\times10^2$ Pa), offering insights into essential and non-essential reactions for future low-pressure O$_{2}$ and Ar/O$_{2}$ CCP discharge modeling.

关键词: Ar/O$_{2}$ CCP discharges, reaction set, equivalent circuit model, global model

Abstract: Radio frequency capacitively coupled plasmas (RF CCPs) operated in Ar/O$_{2}$ gas mixtures which are widely adopted in microelectronics, display, and photovoltaic industry, are investigated based on an equivalent circuit model coupled with a global model. This study focuses on the effects of singlet metastable molecule $\mathrm{O}_{2}\big( {\rm b}^{1}\mathrm{\Sigma }_{\rm g}^{+} \big)$, highly excited Herzberg states $\mathrm{O}_{2}\big( {\mathrm{A}{}^{3}\mathrm{\Sigma }_{\mathrm{u}}^{+}, {\rm A}}{}^{3}\mathrm{\Delta }_{\mathrm{u}},\mathrm{c}^{1}\mathrm{\Sigma }_{\mathrm{u}}^{-} \big)$, and the negative ion $\mathrm{O}_{2}^{-}$, which are usually neglected in simulation studies. Specifically, their impact on particle densities, electronegativity, electron temperature, voltage drop across the sheath, and absorbed power in the discharge is analyzed. The results indicate that $\mathrm{O}_{2}\left( {\rm b}^{1}\mathrm{\Sigma }_{\rm g}^{+} \right)$ and $\mathrm{O}_{2}^{-}$ exhibit relatively high densities in argon-oxygen discharges. While $\mathrm{O}_{2}\big( {\mathrm{A}{}^{3}\mathrm{\Sigma }_{\mathrm{u}}^{+}, {\rm A}}{}^{3}\mathrm{\Delta }_{\mathrm{u}},\mathrm{c}^{1}\mathrm{\Sigma }_{\mathrm{u}}^{-} \big)$ play a critical role in $\mathrm{O}_{2}\left( {\rm b}^{1}\mathrm{\Sigma }_{\rm g}^{+} \right)$ production, especially at higher pressure. The inclusion of these particles reduces the electronegativity, electron temperature, and key species densities, especially the $\mathrm{O}^{-}$ and $\mathrm{O}^{\ast}$ densities. Moreover, the sheath voltage drop, as well as the inductance and resistance of the plasma bulk are enhanced, while the sheath dissipation power and total absorbed power decrease slightly. With the increasing pressure, the influence of these particles on the discharge properties becomes more significant. The study also explores the generation and loss of main neutral species and charged particles within the pressure range of 20 mTorr-100 mTorr (1 Torr = 1.33322$\times10^2$ Pa), offering insights into essential and non-essential reactions for future low-pressure O$_{2}$ and Ar/O$_{2}$ CCP discharge modeling.

Key words: Ar/O$_{2}$ CCP discharges, reaction set, equivalent circuit model, global model

中图分类号:  (Multicomponent and negative-ion plasmas)

  • 52.27.Cm
52.65.-y (Plasma simulation) 52.80.Pi (High-frequency and RF discharges) 82.33.Xj (Plasma reactions (including flowing afterglow and electric discharges))