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carlosvelcab
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What are assumptions on which the Drude model and the Sommerfeld model Match? and In which assumptions both differs?
The Drude theory, also known as the Drude model, is a classical model that describes the behavior of electrons in a material. It was developed by Paul Drude in 1900 and is based on the idea that electrons in a material behave like a gas, constantly colliding with each other and the atoms in the material.
The Drude theory explains electrical conductivity by stating that when an electric field is applied to a material, the electrons in the material will accelerate in the direction of the field. However, due to collisions with other electrons and atoms, the electrons will not maintain their velocity and will eventually come to rest. This constant motion and collision of electrons is what allows for the flow of electric current through a material.
The main limitation of the Drude theory is that it does not take into account the quantum mechanical nature of electrons. This means that it cannot fully explain phenomena such as superconductivity and the Hall effect, which are better described by more advanced theories like the Sommerfeld theory.
The Sommerfeld theory, also known as the free electron model, was developed by Arnold Sommerfeld in 1928 as an extension of the Drude theory. It incorporates quantum mechanics and more accurately describes the behavior of electrons in a material, especially at low temperatures.
The Sommerfeld theory improves upon the Drude theory by taking into account the quantum mechanical nature of electrons. It can explain a wider range of phenomena, including the Hall effect and superconductivity, and is more accurate at low temperatures where classical theories like the Drude model fail. It also introduces the concept of energy bands and the density of states, which are important for understanding the electronic properties of materials.