Carrier transport in semiconductor

Click For Summary
SUMMARY

The discussion focuses on calculating intrinsic carrier concentration and conductivity in intrinsic Gallium Arsenide (GaAs) at 300K. The electron mobility is 0.85 m²/V·s, and hole mobility is 0.04 m²/V·s, with effective masses of 0.068m and 0.5m, respectively. The intrinsic carrier concentration formula involves effective masses, temperature, and energy gap, specifically: (2.33 * 10^43) * ((Mn * Mp) / (M^2))^(3/2) * (T^3) * (e^(-Eg/kT)). Conductivity is calculated using the formula: σ = e(n * μ[n] + p * μ[p]).

PREREQUISITES
  • Understanding of semiconductor physics
  • Familiarity with intrinsic carrier concentration calculations
  • Knowledge of mobility and effective mass in semiconductors
  • Basic grasp of thermodynamics related to temperature and energy gap
NEXT STEPS
  • Study the derivation of intrinsic carrier concentration in semiconductors
  • Learn about the role of effective mass in carrier mobility
  • Explore the Boltzmann constant and its application in semiconductor equations
  • Investigate temperature dependence of semiconductor properties
USEFUL FOR

Students and professionals in semiconductor physics, electrical engineers, and researchers focusing on material properties and electronic applications of GaAs.

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=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..
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
973
  • · Replies 8 ·
Replies
8
Views
2K
Replies
14
Views
4K
  • · Replies 4 ·
Replies
4
Views
7K
Replies
19
Views
5K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K