Avogadro’s Constant

Explanation

Named after Amedeo Avogadro, the Avogadro constant is the number of particles in a given mole (e.g. atoms, molecules).  It can be related classically to the fundamental physical constants for the Bohr radius (orbital distance for hydrogen) and the Planck length.

 


 

Derivation – Avogadro’s Constant

The Avogadro constant is used in photon energy calculations, but only as a conversion for comparisons against measured results provided in MJ/mol.  It is found in the Particle Energy and Interaction and Atomic Orbitals papers.  Here, it is derived from a classical representation.  The Avogadro constant is related to the Faraday constant (F) or the gas constant (R), but this requires explaining new constants.  It can also be related to the Bohr radius (a0) and Planck length (lP) constants already derived on this site, which is shown in the classical constant form.  Note that “e” in the wave constant form is the mathematical constant (e), not the elementary charge (ee).

 

Classical Constant Form

Avogadro's Constant Derived

Wave Constant Form

Avogadro's Constant Derived Wave Equations

Using classical constants Using energy wave constants

 

Calculated Value: 6.0225E+23
Difference from CODATA: -0.006%
Calculated Units: None (dimensionless)

Note: Avogadro’s constant has units of 1/mol, but it is a numerical count.  Units derived by wave equations support a dimensionless, numerical count. 

 

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.