Thermodynamics which equation is correct

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SUMMARY

The discussion centers on determining the correct equation for calculating energy occupancy probability for copper at a temperature of 295 K, with an Fermi level (Ef) of 7.00 eV. Two equations were presented: the first is 1 / exp((E - Ef) / kT) and the second is 1 / (1 + exp((E - Ef) / kT)). The correct approach to this problem requires understanding the context of these equations, as neither is presented in a complete form with an equal sign, indicating a misunderstanding of their application in thermodynamics.

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  • Knowledge of the Boltzmann distribution and its application in statistical mechanics
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  • Basic proficiency in manipulating exponential functions
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Homework Statement



Calculate the energy which has 15.5% occupancy probability for copper at T=295. Assume, Ef = 7.00eV for copper.

I seen two equations which one is correct

1
_____________
exp(E- Ef / kT)


or
1
_____________
1+(exp(E- Ef / kT))
 
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That's a question you should be able to answer on your own. Neither of those is an equation as no equal sign appears anywhere. Where did you get these expressions from? What does your textbook say?
 

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