标题： 任意简并度和相对论下的费米-狄拉克积分及其导数的精确评估 显示英文标题

标题： Accurate Evaluation of Fermi-Dirac Integrals and Their Derivatives for Arbitrary Degeneracy and Relativity

摘要： 理想费米气体的状态方程用费米–狄拉克积分来表示。 我们给出了计算费米–狄拉克积分及其一阶、三阶和五阶导数的公式，在非简并和极端简并以及相对论极限下分别进行了推导。 当极限条件不适用时，我们提供了积分及其导数的表格和一个Fortran子程序用于数值计算。 使用这些方法，对于任意温度和密度，这些函数都可以被评估到优于1%的精度。 显示英文摘要

摘要： The equation of state of an ideal Fermi gas is expressed in terms of Fermi-Dirac integrals. We give formulae for evaluation the Fermi-Dirac integrals of orders 1/2, 3/2, and 5/2 and their derivatives in various limits of non- and extreme degeneracy and relativity. We provide tables and a Fortran subroutine for numerical evaluation of the integrals and derivatives when a limit does not apply. The functions can be evaluated to better than 1% accuracy for any temperature and density using these methods.