# Is carrier charge density and carrier mobility constant in a given material?

If we assume the semi-conductor is doped by a variable amount, is there some way I can look up carrier charge density for the material in a reference somewhere? What about carrier mobility?

You can look it up for Si or GaAs or other well characterized semiconductors. If you want to look at the relationship between doping level and charge density, you can use the equations $$n_e = 2(2\hbar^{-2} \pi m_e^*kT)^{3/2} e^{\frac{E_F - E_C}{kT}}$$ $$n_v = 2(2 \hbar^{-2}\pi m_v^*kT)^{3/2} e^{\frac{E_v - E_F}{kT}}$$