# Collision Frequency and Energy Transfer Rate in e-He Scattering
## 4 Conclusions  
The collision frequency and energy transfer rate for electron-helium scattering were determined using the optical potential approach and the phase function method. The results on the collision frequency are consistent with data from other theoretical studies in the field of low electron energies, and at energies above 1 eV, they correspond well with the results obtained in experiments. The presence of a maximum in the collision frequency is a consequence of a decrease in the momentum transfer cross-section with an increase in energy.  
At energy values above the detected maximum for the collision frequency, energy transfer calculations indicated that temperature equalization between helium and the  
Figure 8: Energy transfer between an electron and a helium atom as a function of time at \(T_{e}=20\) eV and \(T_{He}=5\) eV. The results are compared with a curve derived using [PERSON] formula [22]. Our calculations show a lower absolute energy transfer value due to a decline in collision frequency at higher electron energies, contrasting with the predictions of [PERSON] model.  
Figure 7: Energy transfer between an electron and a helium atom as a function of time at \(T_{e}=5\) eV and \(T_{He}=5\) eV. The results are compared with a curve derived using [PERSON] formula [22], showing consistent energy exchange this temperature.  
electron occurs more slowly. These results are important for determining plasma transport properties such as electron mobility and diffusion coefficients, as well as for calculating electron temperature.  
The obtained results can be used in modeling energy exchange processes in the diverter region in tokamaks. This is an important task since the processes occurring in the diverter region and even the near-wall region directly affect the processes in the central region of tokamaks and ultimately the plasma confinement. In recent studies of electron distribution in tokamaks [47], it has been shown that the electron distribution is often described by the so-called kappa distribution [48; 49]. In the Ref. [47] using the kappa distribution resolves discrepancies between experiments and theory based on the use of the Maxwellian distribution function. Since our work shows that considering the Maxwellian velocity distribution and momentum transfer cross-section led to the appearance of the maximum in the dependence of the collision frequency on the electron temperature, at the next stage of our research we plan to consider the effect of the kappa distribution on energy transfer.  
Conceptualization, Y.S.; methodology, Y.S. and E.S.; software, Y.S.; validation, Y.S., K.D. and E.S.; formal analysis, Y.S. and K.D.; investigation, Y.S.; resources, Y.S.; data curation, Y.S.; writing--original draft preparation, Y.S.; writing--review and editing, K.D. and Y.S.; visualization, Y.S.; supervision, M.J.; project administration, M.J.; funding acquisition, M.J. All authors have read and agreed to the published version of the manuscript.  
Not applicable.  
The raw data supporting the conclusions of this article will be made available by the authors on request.  
The authors declare no conflicts of interest.