Find the number of free electrons per one sodium atom at `T=0` if the Fermi level is equal to `E_(F)= 3.07eV` and the density of sodium is `0.97 g//cm^(3)`.

Find the number of free electrons per one sodium atom at `T=0` if the

1.	Find the number of free electrons per one sodium atom at `T=0` if the Fermi level is equal to `E_(F)= 3.07eV` and the density of sodium is `0.97 g//cm^(3)`.
Answer» We calculate the concentration `n` of electron in the `Na` metal from `E_(max)=E_(F)=( ħ^(2))/(2m)(3 pi^(2)n)^(2//3)` we get from `E_(F)= 3.07eV` `n= 2.447xx10^(22) per c.c` From this we get the number of electrons per one `Na` atom as `(n)/(rho).(M)/(N_(A))` where `rho=` density of `Na, M=` molar weight in gm of `Na,N_(A)=` Avagadro number we get `0.963` electrons per one `Na` atom.

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Find the number of free electrons per one sodium atom at `T=0` if the Fermi level is equal to `E_(F)= 3.07eV` and the density of sodium is `0.97 g//cm^(3)`.

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