page_title: Rydberg formula
section_title: For hydrogen
hierarchical_section_title: Rydberg formula / For hydrogen
caption_attribution_description: English: Hydrogen spectral series plotted on a log scale.
context_page_description: In atomic physics, the Rydberg formula calculates the wavelengths of a spectral line in many chemical elements. The formular primarily presented as a generalization of the Balmer series for all atomic electron transitions of hydrogen. It was first empirically stated in 1888 by the Swedish physicist Johannes Rydberg, then theoretically by Niels Bohr in 1913, who used a primitive form of quantum mechanics. The formula directly generalizes the equations used to calculate the wavelengths of the hydrogen spectral series.
context_section_description: where
   is the wavelength of electromagnetic radiation emitted in vacuum,
   is the Rydberg constant for hydrogen, approximately 1.09677583×10⁷ m⁻¹,
   is the principal quantum number of an energy level, and
   is the principal quantum number of an energy level for the atomic electron transition.
  Note:- Here,  > 
  By setting  to 1 and letting  run from 2 to infinity, the spectral lines known as the Lyman series converging to 91 nm are obtained, in the same manner:
caption: A visual comparison of the hydrogen spectral series for n1 = 1 to n1 = 6 on a log scale
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