The Rydberg formula
is used in atomic, molecular, and optical physics
for determining the full spectrum
emission from hydrogen
, later extended to be useful with any element
A piece of the original document detailing the Rydberg formula in 1888.
The spectrum are the wavelengths of photons emitted when electrons jump between discrete energy levels, "shells" around the atom of a certain chemical element.
The fomula was invented by the Swedish physicist Janne Rydberg and presented on November 5, 1888.
Rydberg formula for hydrogen
By setting to 1 and letting run from 2 to infinity, the spectral lines known as the Lyman series converging to 91nm are obtained, in the same manner:
Rydberg formula for any element
The formula above can be extended for use with any chemical element.