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In solid-state physics, the free electron model is a quantum mechanical model for the behaviour of charge carriers in a metallic solid. It was developed in 1927, [1] principally by Arnold Sommerfeld, who combined the classical Drude model with quantum mechanical Fermi–Dirac statistics and hence it is also known as the Drude–Sommerfeld model.
In the free electron model with scattering, the value of ′ / is of order / (), where is the Fermi temperature, and so a typical value of the Seebeck coefficient in the Fermi gas is / (the prefactor varies somewhat depending on details such as dimensionality and scattering).
For electrons or electron holes in a solid, the effective mass is usually stated as a factor multiplying the rest mass of an electron, m e (9.11 × 10 −31 kg). This factor is usually in the range 0.01 to 10, but can be lower or higher—for example, reaching 1,000 in exotic heavy fermion materials , or anywhere from zero to infinity ...
The Thomson effect is an extension of the Peltier–Seebeck model and is credited to Lord Kelvin. Joule heating, the heat that is generated whenever a current is passed through a conductive material, is not generally termed a thermoelectric effect.
The typical efficiency of TEGs is around 5–8%, although it can be higher. Older devices used bimetallic junctions and were bulky. More recent devices use highly doped semiconductors made from bismuth telluride (Bi 2 Te 3), lead telluride (PbTe), [10] calcium manganese oxide (Ca 2 Mn 3 O 8), [11] [12] or combinations thereof, [13] depending on application temperature.
Valence electron, as an outer shell electron that is associated with an atom; Valence and conduction bands, as a conduction band electron relative to the electronic band structure of a solid; Fermi gas, as a particle of a non-interacting electron gas; Free electron model, as a particle in the Drude-Sommerfeld model of metals; Free-electron ...
DeepSeek's claim that its model was made at a fraction of the cost of its rivals has rocked the AI industry. ... Softbank and Tokyo Electron fell sharply, helping to push the benchmark Nikkei 225 ...
Integrals of this type appear frequently when calculating electronic properties, like the heat capacity, in the free electron model of solids. In these calculations the above integral expresses the expected value of the quantity H ( ε ) {\displaystyle H(\varepsilon )} .