Carrier transport in semiconductor

AI Thread Summary
In intrinsic GaAs, the electron and hole mobilities are 0.85 and 0.04 m²/V·s, with effective masses of 0.068m and 0.5m, respectively. The band gap energy is 1.43 eV at 300K. To calculate intrinsic carrier concentration, the relevant formula involves effective masses, temperature, and energy gap, expressed as intrinsic carrier concentration = (2.33 x 10^43) * (Mn * Mp / M²)^(3/2) * (T³) * e^(-Eg/kT). Conductivity can then be determined using the formula σ = e(nμn + pμp), where n and p are the carrier concentrations. The discussion seeks clarification on the relationship between mobility, carrier concentration, and effective mass.
RajChakrabrty
Messages
27
Reaction score
0

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.
 
Physics news on Phys.org
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=boltzman 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..
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top