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

In summary, the conversation is about the struggle to calculate the unit of the rate constant for excitation by electron impact. The formula for the rate constant includes variables such as the charge and mass of an electron, energy, cross section, and electron energy probability function. The formula can be found in various sources such as a research paper or a website. However, the speaker's calculation resulted in a different unit than what is found in the references. They are unsure of what they are missing and may seek help from a physics forum.
  • #1
K-Manu
7
0
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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  • #2
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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