Rydberg–Ritz combination principle

E629519

The Rydberg–Ritz combination principle is a rule in atomic spectroscopy stating that the frequencies (or wavenumbers) of spectral lines can be expressed as differences between terms in a series, enabling systematic prediction and classification of atomic spectra.

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Label Occurrences
Rydberg–Ritz combination principle canonical 1

Statements (40)

Predicate Object
instanceOf physical law
appliesTo absorption spectra
atomic spectra
emission spectra
line spectra
category principle of spectroscopy
rule of atomic physics
concerns differences of energy levels expressed as terms
relationships between spectral line frequencies
enables construction of term schemes
identification of regularities in atomic spectra
prediction of unknown spectral lines
systematic classification of spectral lines
epistemicStatus empirical law
phenomenological rule
field atomic spectroscopy
optical spectroscopy
historicalRole empirical basis for Bohr’s frequency condition
precursor to quantum theory
implies many spectral lines can be generated from a smaller set of terms
mathematicalForm ν_ij = T_i − T_j
namedAfter Johannes Rydberg NERFINISHED
Walther Ritz NERFINISHED
relatedTo Bohr model NERFINISHED
Rydberg formula NERFINISHED
quantum theory of the atom
spectroscopic term system
statedAs spectral line frequency equals difference of two terms
wavenumber of a line equals difference of two term values
ν = T(m) − T(n)
supports term combination patterns in spectroscopy
usedIn analysis of atomic term systems
classification of multiplet structures
identification of series limits
usesConcept frequency
spectral series
spectral term
wavenumber
validFor hydrogen-like spectra
many-electron atoms

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Rydberg constant appearsIn Rydberg–Ritz combination principle