We rederived the fermion distribution function by considering the effect of assembly size. We did not use Stirling approximation to avoid the deviation generated by this approximation for a small number of constituents and small assembly size. Furthermore, we identified that in small systems, the chemical potential should also depend on the assembly size. We also rederived a general expression for the size-dependent chemical potential from a statistical configuration and showed that it is consistent with the results from previously reported theoretical or simulation methods. Finally, we applied the model to derive a size-dependent thermoelectric power factor of nanostructured materials. One important finding is that the power factor initially increases when reducing the particle size; however, it then reduces to approach zero when further reducing the material size, due to a dramatic change in the material behaviors.
Chemical potential, statistical configuration, thermoelectric power factor, nanostructure
MARGARETTA, DESYANA OLENKA; AMALIA, NADYA; UTAMI, FISCA DIAN; MURNIATI, RIRI; VIRIDI, SPARISOMA; and ABDULLAH, MIKRAJUDDIN
"Size-dependent electron chemical potential in nanostructures derived fromstatistical configuration,"
Turkish Journal of Physics: Vol. 44:
2, Article 3.
Available at: https://journals.tubitak.gov.tr/physics/vol44/iss2/3