How do I calculate the rate constant units for excitation by electron impact?

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SUMMARY

The calculation of the rate constant units for excitation by electron impact is confirmed to be [m^3/sec]. The key components involved in this calculation include the charge of the electron (Coulomb), the mass of the electron (kg), the energy (eV), the cross section for electron impact (m^2), and the electron energy probability function (ev^-(3/2)). The discrepancy in results, where the user calculated C^(1/2)*m^3/sec instead of m^3/sec, suggests a misunderstanding or misapplication of the formula as referenced in D. V. Lopaev's work in J. Phys. D: Appl. Phys. 50 (2017) 075202.

PREREQUISITES
  • Understanding of electron impact excitation processes
  • Familiarity with physical constants such as charge and mass of the electron
  • Knowledge of energy units, specifically electronvolts (eV)
  • Basic grasp of cross-sectional area in physics (m^2)
NEXT STEPS
  • Review the formula for rate constants in electron impact excitation as detailed in D. V. Lopaev's publication
  • Study the electron energy probability function and its implications on rate constants
  • Examine the relationship between cross section and rate constants in collision theory
  • Explore advanced topics in plasma physics related to electron interactions
USEFUL FOR

Physicists, researchers in plasma physics, and students studying electron impact processes will benefit from this discussion, particularly those focusing on rate constants in excitation phenomena.

K-Manu
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Hi,
I struggle to calculate the unit of the rate constant that is [m^3/sec]
rate constant of excitation by electron impact is as follows:
1690285029747.png

where, e=charge of electron [Coulomb], me=mass of electron [kg], ε=energy [eV], σe(ε)=cross section for electron impact [m^2], f(ε)=electron energy probability function [ev^-(3/2]. You can find the formula of rate constant in many works.
e. g. D. V. Lopaev, J. Phys. D: Appl. Phys. 50 (2017) 075202 (17pp) or site: file:///C:/Users/default.DESKTOP-PJAUC0O/Desktop/bolsigdoc0316.pdf

As my calculation, result might be C^(1/2)*m^3/sec, not m^3/sec, contrary to the results in the references.
What am I missing it?
 
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K-Manu said:
or site: file:///C:/Users/default.DESKTOP-PJAUC0O/Desktop/bolsigdoc0316.pdf

This is just a file on some local disk, no way to read it.

If you won't get any help here, I will move the thread to physics.
 

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