Computing the resistivity due to electron collision with 1BZ

[Jonsson]

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

 

[DrDu]

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.