title: Ð¡ÑÐ¾Ð»ÐºÐ½Ð¾Ð²Ð¸ÑÐµÐ»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÐµÐ»ÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð´Ð»Ñ Ð°ÑÐ¾Ð¼Ð° Ð½ÐµÐ¹ÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð³ÐµÐ»Ð¸Ñ Ð² Ð²ÑÑÐ¾ÐºÐ¾ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð¿Ð»Ð°Ð·Ð¼Ðµ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ° Â«ÐÐ»Ð¾Ð±ÑÑ-Ð2Â»
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Collision-radiative model for a neutral helium atom in the high-temperature plasma of the âGlobus-M2â tokamak
Creators: name: Ð¯Ð»ÑÐ½ÑÐºÐ°Ñ, ÐÐ°Ð´ÐµÐ¶Ð´Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÐÐ»Ð°Ð·Ð¼Ð° (ÑÐ¸Ð·.) Ð²ÑÑÐ¾ÐºÐ¾ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð°Ñ
Ð¡Ð¿ÐµÐºÑÑÐ¾ÑÐºÐ¾Ð¿Ð¸Ñ ÑÐ¼Ð¸ÑÑÐ¸Ð¾Ð½Ð½Ð°Ñ
Ð¯Ð´ÐµÑÐ½ÑÐµ ÑÐµÐ°ÐºÑÐ¾ÑÑ
ÑÑÐ¾Ð»ÐºÐ½Ð¾Ð²Ð¸ÑÐµÐ»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÐµÐ»ÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð³ÐµÐ»Ð¸ÐµÐ²Ð°Ñ ÑÐ¿ÐµÐºÑÑÐ¾ÑÐºÐ¾Ð¿Ð¸Ñ
ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°ÑÐ½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð²
Ð¼Ð¾Ð´ÐµÐ»Ñ Ð°ÑÐ¾Ð¼Ð° Ð³ÐµÐ»Ð¸Ñ
Ð Ð¸Ð´Ð±ÐµÑÐ³Ð¾Ð²ÑÐºÐ¸Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ
collisional-radiative model
helium spectroscopy
cross sections of elementary processes
helium atom model
Rydberg states

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¼Ñ ÑÐµÑÐµÐ½Ð¸Ñ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ ÑÑÐ¾Ð»ÐºÐ½Ð¾Ð²Ð¸ÑÐµÐ»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ (Ð¡ÐÐ) Ð½ÐµÐ¹ÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð³ÐµÐ»Ð¸Ñ Ð´Ð»Ñ ÑÐ»ÑÑÐ°ÐµÐ² Ñ ÑÑÐµÑÐ¾Ð¼ 19 Ð½Ð¸Ð·ÑÐ¸Ñ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ Ð¸ 43 Ð²ÑÑÐ¾ÐºÐ¸Ñ Ð Ð¸Ð´Ð±ÐµÑÐ³Ð¾Ð²ÑÐºÐ¸Ñ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ Ñ Ð³Ð»Ð°Ð²Ð½ÑÐ¼ ÐºÐ²Ð°Ð½ÑÐ¾Ð²ÑÐ¼ ÑÐ¸ÑÐ»Ð¾Ð¼ nâ¤7. ÐÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¡ÐÐ Ð±ÑÐ»Ð¸ ÑÑÑÐµÐ½Ñ Ð¿ÑÐ¾ÑÐµÑÑÑ ÑÐ¿Ð¾Ð½ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ, Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸Ñ Ð¸ Ð¸Ð¾Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÐ¼ ÑÐ´Ð°ÑÐ¾Ð¼, ÑÐ°Ðº ÐºÐ°Ðº Ð² Ð¿ÑÐ¸ÑÑÐµÐ½Ð¾ÑÐ½Ð¾Ð¹ Ð¸ Ð´Ð¸Ð²ÐµÑÑÐ¾ÑÐ½Ð¾Ð¹ Ð¿Ð»Ð°Ð·Ð¼Ðµ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ¾Ð² Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐ¼ Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼Ð¾Ð¼ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð½Ð°ÑÐµÐ»ÑÐ½Ð½Ð¾ÑÑÐµÐ¹ Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð½ÑÑ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ ÑÐ²Ð»ÑÑÑÑÑ ÑÐ¾ÑÐ´Ð°ÑÐµÐ½Ð¸Ñ ÑÐ¾ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½ÑÐ¼Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð°Ð¼Ð¸. Ð¡ÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð±ÑÐ»Ð¸ Ð²Ð·ÑÑÑ Ð¸Ð· Ð¾ÑÐºÑÑÑÑÑ Ð±Ð°Ð· Ð´Ð°Ð½Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°ÑÐ½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² OPEN-ADAS, NIST. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ð½ÑÑ Ð¡ÐÐ Ð±ÑÐ»Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ Ð´Ð¸Ð°Ð³ÑÐ°Ð¼Ð¼Ñ Ð´Ð»Ñ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ Ð¸ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐµÐ¹ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² Ð¿Ð¾ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸ÑÐ¼ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐµÐ¹ Ð»Ð¸Ð½Ð¸Ð¹ Ð½ÐµÐ¹ÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð³ÐµÐ»Ð¸Ñ 668 Ð½Ð¼, 706 Ð½Ð¼, 728 Ð½Ð¼. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð±ÑÐ»Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ðº ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼ Ð´Ð°Ð½Ð½ÑÐ¼, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸ Ð³ÐµÐ»Ð¸ÐµÐ²Ð¾Ð¹ ÑÐ¿ÐµÐºÑÑÐ¾ÑÐºÐ¾Ð¿Ð¸Ð¸ Ð² ÑÐ¾Ð´Ðµ ÐºÐ°Ð¼Ð¿Ð°Ð½Ð¸Ð¸ 2021 Ð³Ð¾Ð´Ð° Ð½Ð° ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ ÐÐ»Ð¾Ð±ÑÑ-Ð2. ÐÐ¾ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð½ÑÐµ Ð¿ÑÐ¾ÑÐ¸Ð»Ð¸ Ð¿Ð»Ð°Ð·Ð¼ÐµÐ½Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ´Ð¾Ð²Ð»ÐµÑÐ²Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð²Ð¾ÑÐ¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑ ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ð½ÑÐµ Ð¿Ð¾ Ð´ÑÑÐ³Ð¸Ð¼ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ»Ð¸ ÑÑÐ¾ÑÐ¼ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ³Ð¾ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¡ÐÐ Ð² ÑÑÐ¾ÑÐ¾Ð½Ñ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð¼Ð¾Ð´ÐµÑÐ½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¸Ð½Ð¶ÐµÐºÑÐ¸Ð¸ Ð³ÐµÐ»Ð¸Ñ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸ Ð³ÐµÐ»Ð¸ÐµÐ²Ð¾Ð¹ ÑÐ¿ÐµÐºÑÑÐ¾ÑÐºÐ¾Ð¿Ð¸Ð¸ Ð¿Ð»Ð°Ð·Ð¼Ñ Ð´Ð»Ñ ÑÐ°ÑÑÐ¸ÑÐµÐ½Ð¸Ñ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹.
description: The given work is devoted to the numerical solution of the stationary collisional-radiative model (CRM) of neutral helium for cases considering 19 lowest energy states and 43 high Rydberg states with the main quantum number nâ¤7. When modeling CRM, only the processes of spontaneous emission, excitation, and ionization by electron impact were taken into account, since in the near-wall and divertor plasma of tokamaks, the main mechanism of population and depopulation of excited states are collisions with free electrons. The process cross sections were taken from the OPEN-ADAS and NIST open elementary process databases. Based on the calculated CRM, diagrams were constructed to find the electron temperatures and densities from the intensity ratios of the 668 nm, 706 nm, and 728 nm lines. These diagrams were applied to experimental data obtained from the helium spectroscopy diagnostics during the 2021 campaign to inject helium into the plasma of the Globus-M2 tokamak. The reconstructed plasma parameter profiles satisfactorily reproduce those calculated by other models. Moreover, the main principles of further development of CRM in the direction of a dynamic model were formulated and the possibility of modernizing the helium injection system for the helium spectroscopy diagnostics was considered to extend the measuring range.