Thermodynamic restrictions on the heat capacity of a fermion gas

Using the thermodynamic restrictions imposed by Carnot theorem over an Otto cycle that operates at maximum work regime and applying them to obtain the heat capacities of electron gases stemming from different metals which provide enough electrons to behave as fermion gases with C-V = alpha T-beta T-3, the coefficients alpha and beta are calculated from a free electron gas model. These values agree with the experimental data for metals with high electronegativities; that is, only these metals with high electronegativities provide a fermion gas that is in accordance with the thermodynamic restrictions presented in this work.(C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This study applies the thermodynamic restrictions imposed by the Carnot theorem on an Otto cycle operating at maximum work regime to determine the heat capacities of electron gases from different metals. The coefficients alpha and beta, obtained from a free electron gas model, are used to calculate these values. The experimental data confirms that only metals with high electronegativities provide a fermion gas that meets the thermodynamic restrictions.