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Title: New Equations for Calculating Principal and Fine-Structure Atomic Spectra for Single and Multi-Electron Atoms

Technical Report ·
DOI:https://doi.org/10.2172/1427018· OSTI ID:1427018
 [1];  [2];  [2]
  1. National Energy Technology Lab. (NETL), Pittsburgh, PA, (United States)
  2. National Energy Technology Lab. (NETL), Morgantown, WV (United States)

A set of equations are presented for calculating atomic principal spectral lines and fine-structure energy splits for single and multi-electron atoms. Calculated results are presented and compared to the National Institute of Science and Technology database demonstrating very good accuracy. The equations do not require fitted parameters. The only experimental parameter required is the Ionization energy for the electron of interest. The equations have comparable accuracy and broader applicability than the single electron Dirac equation. Three Appendices discuss the origin of the new equations and present calculated results. New insights into the special relativistic nature of the Dirac equation and its relationship to the new equations are presented.

Research Organization:
National Energy Technology Lab. (NETL), Pittsburgh, PA, and Morgantown, WV (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy (FE)
OSTI ID:
1427018
Report Number(s):
NETL-PUB-21635
Country of Publication:
United States
Language:
English