Wiedemann-Franz law

The model also explains the Wiedemann-Franz law of 1853.

The extracted values show agreement with those predicted by the Wiedemann-Franz law.

It can be shown by using the Wiedemann-Franz law, that the thermal conduction is phonon-dominated.

According to the Wiedemann-Franz law, the higher the electrical conductivity, the higher κ becomes.

With Rudolph Franz, Wiedemann developed the Wiedemann-Franz law relating thermal and electrical conductivity in 1853.

Following Wiedemann-Franz law thermal conductivity of metals is approximately proportional to the absolute temperature (in Kelvin) times electrical conductivity.

Thermal conductivity in CNT is mainly due to phonons rather than electrons so the Wiedemann-Franz law is not applicable.

This is expressed mathematically by the Wiedemann-Franz law, which states that the ratio of thermal conductivity to the electrical conductivity is proportional to the temperature.

For ballistic electrical conductors, the electron contribution to the thermal conductance is also quantized as a result of the electrical conductance quantum and the Wiedemann-Franz law.

In metals, thermal conductivity approximately tracks electrical conductivity according to the Wiedemann-Franz law, as freely moving valence electrons transfer not only electric current but also heat energy.

Drude's model described properties of metals in terms of a gas of free electrons, and was the first microscopic model to explain empirical observations such as the Wiedemann-Franz law.

This classical model was then improved by Arnold Sommerfeld who incorporated the Fermi-Dirac statistics of electrons and was able to explain the anomalous behavior of the specific heat of metals in the Wiedemann-Franz law.