4.1 Article

A fast approximation to supershell partition functions

Journal

HIGH ENERGY DENSITY PHYSICS
Volume 45, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.hedp.2022.101016

Keywords

High-energy-density matter; Hot plasma; Atomic physics; Photo-absorption; Opacity; Spectroscopy

Funding

  1. U.S. Department of Energy by Lawrence Livermore National Laboratory
  2. [DE-AC52-07NA27344]

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A formula for supershell partition functions, derived in this article as a functional of the distribution of energies within the supershell, provides an alternative expansion for an arbitrary number of electrons or holes. It allows for quick approximate evaluations with a truncated number of terms in the expansion.
A formula for supershell partition functions, which play a major role in the Super Transition Array approach to radiative-opacity calculations, is derived as a functional of the distribution of energies within the supershell. It consists in an alternative expansion for an arbitrary number of electrons or holes which also allows for quick approximate evaluations with truncated number of terms in the expansion.

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