Wien peaks and the lambert W function

Seán M. Stewart

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

Exact expressions for the wavelengths where maxima occur in the spectral distribution curves of blackbody radiation for a number of different dispersion rules are given in terms of the Lambert W function. These dispersion rule dependent "Wien peaks" are compared to those wavelengths obtained in a setting independent of the dispersion rule chosen where the "peak" wavelengths are taken to be those obtained on dividing the total radiation intensity emitted from a blackbody into a given percentile. The account provides a simple yet accessible example of the growing applicability of the Lambert W function in physics.

Original languageEnglish
Article number3308
JournalRevista Brasileira de Ensino de Fisica
Volume33
Issue number3
DOIs
Publication statusPublished - Sep 2011

Keywords

  • Blackbody radiation
  • Lambert W function
  • Polylogarithm
  • Wien peaks

ASJC Scopus subject areas

  • Education
  • Physics and Astronomy(all)

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