On the Structure of the Line-Spectra of the Chemical Elements
Article
Formal Antecedent
Foundations and Logic
Citation
Johannes Rydberg. (1890). On the Structure of the Line-Spectra of the Chemical Elements. Philosophical Magazine. 29. pp. 331–337.
Why this reference is included
Rydberg’s 1890 On the Structure of the Line-Spectra of the Chemical Elements, published in Philosophical Magazine, is one of the program’s working technical references. Cited across Book IV (Categorical Microcosm), Part 1, Chapter Hydrogen: The First Atom; Book IV (Categorical Microcosm), Part 6, Chapter The Hydrogen Spectrum — the central framing is “pectrum The excited states of hydrogen form a series: The energy levels of hydrogen are: E_n = -m_e α^2 c^22n^2 = -13.6n^2 eV, n = 1, 2, 3, … Transitions between levels produce…”.
Cited in
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Book IV — Categorical Microcosm Part 1Chapter Hydrogen: The First Atom
pectrum The excited states of hydrogen form a series: The energy levels of hydrogen are: E_n = -m_e α^2 c^22n^2 = -13.6n^2 eV, n = 1, 2, 3, … Transitions between levels produce photons (Chapter ) with frequencies: ν = m_e α^2 c^22h (1n_f^2 - 1n_i^2), recovering the Rydberg formula
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Book IV — Categorical Microcosm Part 6Chapter The Hydrogen Spectrum
Rydberg generalised this to arbitrary pairs (n_f, n_i) in 1888 , a quarter-century before Bohr's atomic model