Boltzmann equation - Why does theta = 5040/T

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SUMMARY

The discussion centers on the Boltzmann equation, specifically the relationship between temperature and the variable theta (θ). The equation log(nij/nji) = log(gij/gji) - Eij(eV)(5040/T) is analyzed, with a focus on the derivation of θ as 5040/T. The confusion arises from the logarithmic expression log(e-Eij/kT), which simplifies to θ = log(e)/(kT) = 5040/T when Eij is expressed in electronvolts (eV). The clarification provided resolves the initial misunderstanding regarding the role of log(e).

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Hi,

I am working on a Boltzmann equation question and I know that the solution I am looking for is that:

log(nij/nji)=log(gij/gji)-Eij(eV)(5040/T)

The only thing I don't understand is why log(e-Eij/kt) = θ = 5040/T

From what I have read in textbooks, it is just a given, but I really want to know why!

Any help gratefully received!

Thank you
 
Physics news on Phys.org
log(e-Eij /kT ) = Eij* θ where θ = log(e) / (kT) = 5040 / T when Eij is in eV
 
Thank you for the reply. It was the log(e) that was confusing me, all sorted now!
 

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