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June 2, 20260 citationsOpen Access

Correspondence Between Prime Harmonic Energy Levels and Atomic Spectral Lines

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WDWill Daoud

Key Points

  • This research aims to investigate the relationship between prime harmonic energy levels and atomic spectral lines.
  • Calculated prime harmonic energy levels using a scale factor and compared them to atomic spectral transitions from the NIST database.
  • Focused on elements like H, He, Li, C, N, O, Na, Fe, and Xe for analysis.
  • Achieved an 84% match of energy levels with atomic spectral transitions.
  • Elements He, C, Na, and Xe showed a 100% match within 10% accuracy.
  • E_{p=1} was found to equal the hydrogen ionization energy of 13.6 eV.

Abstract

PHM energy levels Eₚ = p² * 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₏=₁ = 13. 6 eV equals the hydrogen ionization energy exactly.

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Cite This Study

Will Daoud (2026) studied this question.

synapsesocial.com/papers/6a1e734530b38c64201b6839https://doi.org/10.5281/zenodo.20477082
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