Carrier transport in semiconductor

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RajChakrabrty
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Homework Statement



in Intrinsic GaAs,electron and hole mobility are 0.85 and 0.04 meter square/volt-sec
and corresponding effective mass are 0.068m and 0.5m, where m=9.11*10^(-31)kg.
band gap energy is 1.43 eV at 300K.
---calculate intrinsic carrier concentration(!) and Conductivity.

Homework Equations


the eqs I know related with mobility are;
mu=v/F=e*tau/m(eff)
conductivity=e(n*mu[n]+p*mu[p]).
mu=mobility
e=charge of carrier(say electron)

The Attempt at a Solution



but what are the formulae to relate between mobility,carrier concentration using
effective mass?
if carrier concentration is calculated, then conductivity=e(n*mu[n]+p*mu[p]).

please help me.anyone.
 
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intrinsic carrier concentration=(2.33 * (10)^43) * ( ..(.. (Mn*Mp) / (M^2).. ) ^(3/2).. ) * (T ^3) * (e ^ (-Eg/kT) )
Mn=effective mass of electron
Mp=effective mass of hole
M=mass of electron
T=temperature in kelvin
Eg=energy gap at particular T
k=Boltzmann constant
e=mathametical constant e.
i kept dots between bracket so as to make it easy to identify,those dots have nothing to do with the formula..