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

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The discussion centers on calculating the units of the rate constant for excitation by electron impact, which is expected to be [m^3/sec]. The user is confused because their calculation yields units of C^(1/2)*m^3/sec, differing from the expected result. They reference existing literature for the formula but express difficulty in reconciling their findings with those sources. The user also notes that a linked file is inaccessible, limiting further assistance. Clarification on the calculation process and unit derivation is sought to resolve the discrepancy.
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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