Fermi-Dirac Integral Calculator

This tool is a high-efficiency calculator to evaluate Fermi-Dirac integrals of several common orders.

Fermi-Dirac integrals are commonly evaluated by students and researchers in the fields of solid-state physics, chemistry, and engineering due to its key role in establishing the relationship between energy and probability in Fermi-Dirac statistics.

Fermi-Dirac integral of several orders has to be evaluated numerically, and the technique of efficient evaluation is subject to many studies in the past. With this calculator, we introduce a hybrid of fast table-lookup and analytical formulas in calculating the Fermi-Dirac integral.