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The leading hydrogenic relation between transition wavenumbers and principal quantum numbers, corrected in precision work for reduced mass, relativity, QED, and nuclear structure.
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This is an authored directed relation from the source endpoint to the target endpoint.
Balmer’s empirical pattern was generalized by Rydberg’s spectral formula.
The source experiment, observation, anomaly, or problem materially motivated the development, revision, or acceptance of the target concept. Historical influence is not logical derivation; the edge detail states the documented role and avoids retrospective origin myths.
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The Rydberg formula describes leading hydrogenic transition wavenumbers.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
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Replacing the electron mass by the reduced mass gives the leading finite-nuclear-mass correction to hydrogenic gross structure.
The target is recovered from the source either in a stated mathematical or asymptotic limit, or through a quantitatively controlled approximation with identified small parameters or omitted terms. The edge label and detail must state which case applies and its regime of validity.
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