# FermiDiracIntegrals

**URL:** <https://discourse.julialang.org/t/fermidiracintegrals/78301>\
**Category:** Package Announcements\
**Tags:** package, physics\
**Created:** [March 22, 2022, 7:42pm UTC](https://discourse.julialang.org/t/fermidiracintegrals/78301 "2022-03-22T19:42:43Z")\
**Posts on this page:** 1\
**Page:** 1

<div class="post-metadata">

**Author:** ![feanor12](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/feanor12/32/8212_2.png) [@feanor12](https://discourse.julialang.org/u/feanor12)\
**Post date:** [March 22, 2022, 7:42pm UTC](https://discourse.julialang.org/t/fermidiracintegrals/78301/1 "2022-03-22T19:42:43Z")

</div>

I registered a small [package](https://github.com/feanor12/FermiDiracIntegrals.jl) to calculate the complete Fermi-Dirac integral.

This is useful when Fermi statistics is used, which appears for example in the bandstructures of doped semiconductors.

There is also an approximation for j=0.5 implemented that is 100x faster than the general implementation which uses polylogarithms.