Calculating Bandgap Energy in Silicon Using Conductivity Measurements

[Darth Frodo]

Homework Statement

The conductivity of an intrinsic silicon sample is found to be 1.02 mS.m-1 at 297.2 K
and 2.15 mS.m-1 at 307.9 K.
What is the bandgap energy in silicon?

Homework Equations

n_i = N_s(e[itex]^{\frac{-E}{2kT}}[/itex])

[itex]\sigma[/itex] = en_i(μ_p + μ_n)

The Attempt at a Solution

I'm having a bit of trouble.

Is n_i a function of Temperature?
I assume not because as T increases, more charge carriers become available.

Is N_s a function of Temperature?

 

[jbsteele]

I assume yes because it is the number of states at a given energy level.So I think the equation I will be using is:\sigma = eni(μp + μn)But I'm having trouble finding the values for ni and E.