Graduate Computing the resistivity due to electron collision with 1BZ

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The discussion focuses on estimating how resistivity due to electron collisions with the first Brillouin zone varies with the number of valence electrons in metals. It highlights that as more valence electrons are added, the Fermi wavevector increases, leading to interactions with the Brillouin zone boundary. The calculation of resistivity is complex and significantly influenced by temperature, particularly in pure samples at low temperatures. Additionally, the concentration of impurities plays a crucial role in determining resistivity. Understanding these factors is essential for accurate estimations in solid-state physics.
Jonsson
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Hello there,

Id like to estimate how the resistivity due to electron 'collision' with 1st Brillouin zone changes as a function of number of valence electrons in a metal.

Say you start with Na, then add some other material with 2 valence electrons instead of 1, then the fermi wavevector will eventually get so long that it there will be electrons interacting with the Brillouin zone boundary.

How does the resistivity change as a function of number of valence electrons in such a solid?

Thank you for your time.

Kind regards,
Marius
 
The calculation of the resistivity is a highly non-trivial task. Also, resistivity depends very strongly on temperature (especially in very pure samples and at low temperatures) and on the concentration of impurities.
 
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