Carrier transport in semiconductor

In summary, the conversation discusses the properties of Intrinsic GaAs, including electron and hole mobility, effective mass, and band gap energy at 300K. The formulae for calculating intrinsic carrier concentration and conductivity are also mentioned. The formula for intrinsic carrier concentration is (2.33*(10)^43)*((Mn*Mp)/(M^2))^(3/2)*(T^3)*(e^(-Eg/kT)), where Mn is the effective mass of the electron, Mp is the effective mass of the hole, M is the mass of the electron, T is the temperature in Kelvin, Eg is the energy gap at a particular temperature, k is the Boltzmann constant, and e is a mathematical constant.
  • #1
RajChakrabrty
27
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.
 
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  • #2
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..
 

Related to Carrier transport in semiconductor

1. What is carrier transport in semiconductors?

Carrier transport in semiconductors refers to the movement of charge carriers (electrons and holes) within a semiconductor material. This movement is essential for the operation of electronic devices such as transistors and diodes.

2. How do charge carriers move in semiconductors?

The movement of charge carriers in semiconductors is governed by the principles of drift and diffusion. In drift, charge carriers move in response to an electric field, while in diffusion, they move from regions of high concentration to low concentration.

3. What factors affect carrier transport in semiconductors?

There are several factors that can affect carrier transport in semiconductors, including temperature, doping concentration, and the presence of impurities or defects. These factors can impact the mobility and lifetime of charge carriers in the material.

4. What is the role of band structure in carrier transport?

The band structure of a semiconductor material plays a crucial role in carrier transport. The energy bands, specifically the conduction and valence bands, determine the energy levels available for charge carriers to move through. The bandgap also affects the conductivity of the material.

5. How can carrier transport be improved in semiconductors?

To improve carrier transport in semiconductors, various strategies can be employed, such as reducing impurities and defects, optimizing doping concentrations, and controlling the band structure through material engineering. Additionally, advanced techniques like hot carrier injection and quantum confinement can also enhance carrier transport in semiconductors.

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