We can look at the band structure of an element to get an idea of how many electrons per atom participate in conduction. We can also determine this number based on the free electron density, the atomic mass, and the mass density of the material.
a) Calculate the free electron density of lithium. The Fermi energy is 4.72 eV.
b) Derive a formula for the number of atoms per unit volume by using mass density and atomic mass.
c) Calculate the number of atoms per unit volume of lithium (535 kg/m3, 6.9 g/mol) using the formula that you derived in part (b).
d) Calculate the number of free electrons per Li atom by using your results in (a) and (c).
e) Write down the electronic configuratıon of Li and determine how many free electrons per Li atom based on this configuration. How does your answer compare with with (d)