Rydberg Constant

Explanation

The Rydberg constant is used to calculate the wavelengths in the hydrogen spectrum – energy which is absorbed or emitted in the form of as electrons move between shells in the hydrogen atom. The Rydberg constant expresses the photon that is released when the binding energy (Rydberg unit of energy) is transferred to transverse form, creating the photon.  The photon is measured in frequency or wavelength.  The Rydberg constant is expressed as a hybrid of both, as either frequency without wave speed (c) or as the inverse of wavelength.

Rydberg Constant and Energy Explanation

 

See also: Rydberg Unit of Energy

 


 

Derivation – Rydberg Constant

The Rydberg constant is derived from the Transverse Wavelength Equation.  It is based on the electron at K=10 (ten wave centers). It is used with hydrogen calculations and the amplitude factor for a single electron-proton interaction is one (refer to the amplitude factor explanation in the Atoms section). A nucleus with two or more protons will have a different amplitude factor, which is why the Rydberg constant only works for hydrogen.

Classical Constant Form

Rydberg Constant Derivation

Wave Constant Form

Rydberg Constant Derivation Wave Constants

Using classical constants Using energy wave constants

 

Calculated Value: 1.0974E+07
Difference from CODATA: 0.000%
Calculated Units: m-1
G-Factor:gλ-1

 

Its value was calculated and shown to match the known value in the Summary of Calculations table. The derivation of this constant is available in the Fundamental Physical Constants paper.