Will the physical quantities calculated using the Drude or Drude-Sommerfeld model be isotropic or anisotropic in...

Will the physical quantities calculated using the Drude or Drude-Sommerfeld model be isotropic or anisotropic in nature? Explain your answer.

Expert Solution

Many materials are anistropic in nature. Having said that,

The drude and sommerfeld model is a free electron model there are no variation in the potential experienced by the electron in the solid as they travel to the extent.

The physical quantities such as conductivity that can be calculated with the Drude-Sommerfeld model are generally isotropic in nature. Which means they are not dependent on the direction of the measurement.

An example for material showing anisotropy could be graphene. This has an excellent electric conductivity parlalel to the sheets of graphic and at the same time very poor conductivity perpendicular to the sheets.

There is nothing in the D-S model that suggests anisotropy. The model assumes uniform field within the material and ignores the ionic arrangement. The model thus is effectively enforced isotropic in nature. The model as an assumption assumes isotropic. Therefore we can say that the results of the model in terms of various physical quantities will be isotropic in nature.

genius_generous answered 2 years ago

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