## Background

The Rydberg unit of energy is used to calculate the energy levels in the hydrogen spectrum – energy which is absorbed or emitted in the form of photons as electrons move between shells in the hydrogen atom. It is related to the Rydberg constant, which is more typically used, to calculate wavelengths.

See also: Rydberg Constant

## Energy Wave Constants – Equivalent

The following is the representation of this fundamental physical constant expressed in energy wave theory. Using energy wave constants, its value was calculated and shown to match the known value in the Summary of Calculations table.

### Rydberg Unit of Energy

The Rydberg unit of energy is derived from the Transverse Energy Equation. Since it is based on the electron, it is K=10 (ten wave centers). The equation appears to be complex, but note the relationship to the fine structure constant below.

**Calculated Value**: 2.1799E-18

**Difference from CODATA:** 0.000%

**Calculated Units**: Joules (kg m^{2}/s^{2})

The complete derivation of this constant is available in the Fundamental Physical Constants paper.

## Relationship to the Fine Structure Constant

Some of the derivations of the wave energy equations appear to be complex, yet their calculations match the known CODATA value. This is one of the energy wave constants that has a connection to the fine structure constant that simplifies the equation and provides some meaning to the constant itself.

Similar to the Rydberg constant, this ratio also documents the relationship between the Rydberg unit of energy and the square of the fine structure constant. Although the equation may still appear to be complex, this ratio has derived the fundamental form of the Transverse Energy Equation.