Alternative Expressions
The Rydberg constant can also be expressed as the following equations.
and
where
- is the electron rest mass
- is the Planck constant
- is the reduced Planck constant,
- is the speed of light in a vacuum,
- is the fine-structure constant,
- is the Compton wavelength of the electron,
- is the Compton frequency of the electron,
- is the Compton angular frequency of the electron,
- is the Bohr radius.
The last expression in the first equation shows that the wavelength of light needed to ionize a hydrogen atom is 4π/α times the Bohr radius of the atom.
The second equation is relevant because it is the coefficient for the energy of the atomic orbitals of a hydrogen atom: .
Read more about this topic: Rydberg Constant
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