Correspondence Between Prime Harmonic Energy Levels and Atomic Spectral Lines

PHM energy levels E_p = p^2 * Ry, fitted with a single scale factor, match 84% of atomic spectral transitions across H, He, Li, C, N, O, Na, Fe, Xe from the NIST Atomic Spectra Database. He, C, Na, Xe achieve 100% match within 10%. The value E_{p=1} = 13.6 eV equals the hydrogen ionization energy exactly.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20477083
Primary Topic
Atomic and Molecular Physics
Type
preprint
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preprint

Correspondence Between Prime Harmonic Energy Levels and Atomic Spectral Lines

Will Daoud
Zenodo (CERN European Organization for Nuclear Research)
Atomic and Molecular Physics
preprint

Correspondence Between Prime Harmonic Energy Levels and Atomic Spectral Lines

Will Daoud
preprint en

Abstract

PHM energy levels E_p = p^2 * Ry, fitted with a single scale factor, match 84% of atomic spectral transitions across H, He, Li, C, N, O, Na, Fe, Xe from the NIST Atomic Spectra Database. He, C, Na, Xe achieve 100% match within 10%. The value E_{p=1} = 13.6 eV equals the hydrogen ionization energy exactly.

Zenodo (CERN European Organization for Nuclear Research)
University of South Florida (US)
Affordable and clean energy
Atomic and Molecular Physics
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Correspondence Between Prime Harmonic Energy Levels and Atomic Spectral Lines — Will Daoud · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS