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21 Sommerfeld’s Model - Coggle Diagram
21 Sommerfeld’s Model
Free electron in a box
Any function that is periodic in the lattice can be written as a Fouries series of the reciprocal lattice
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The 3D space encompassed is called reciprocal space or k-space, since the wave vector k possesses the dimension reciprocal to the length L in the real space.
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The Fermi sphere
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The surface of the Fermi sphere represent the boundary between occupied and unoccupied k states at absolute zero for the free electron gas
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The quantum analogy
can be considered as moving independently in a square well and the edges of well corresponds to the edges of the sample
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