If the Fermi energy of a Si sample is uniformly 0.2 eV below the conduction band, 
calculate: (i) the electron and hole densities, and (ii) Doping concentration. Assume the Si 
bandgap is 1.12 eV, the temperature is 300 K, and the effective density of states in the 
conduction band is 2.86 x 1019 cm-3.

Working on my fermi level project. Interested in determining theintrinsic carrier concentration of gallium nitride (GaN).

T=300; % Temperature in Kelvin
k=8.617e-5; % Boltzmann constant (eV/K)
e0=8.85e-14; % permittivity of free space (F/cm)
q=1.602e-19; % charge on an electron (coul)
KS=8.9; % Dielectric constant of GaN
ni=X; % intrinsic carrier conc. in Galium Nitride at 300K
EG=3.44 ; % Galium Nitride band gap (eV)

Could you show steps on how you calculated X?

Honestly, just give me a value and show me how you got there. Cutthe gibberish.
Its couple hours before sunrise.

Intrinsic carrier concentration:
ni = (Nc·Nv)^(1/2)*exp(-Eg/(2kBT))

Effective density of states in the conduction band: Nc
Zinc Blende
Nc = 2.3*(1e14)*T^(3/2) (cm-3)

Effective density of states in the valence band: Nv
Zinc Blende BN
Nv = 8.0*(1e15)*T^(3/2) (cm-3)

Helpful Source: http://www.ioffe.ru/SVA/NSM/Semicond

compute the Fermi energy of silver.. assuming that each silver atomcontributes one electron to the conduction band. silver has densityof 104.9g/cm^3 and an atomic weight of 107.87g/mol... and use thisto calculate the speed of electrons with energy equal to the fermienergy just calculated. Last, what would be the root-mean velocityof these electrons at room temperature (21 degrees C) if we couldtreat the electrons in a metal as being a gas of free particles inthe classical limit (not governed by quantum mechanics)
#LIFESAVER

Please show all steps for further problem solving. Thank you,

The Fermi energy for copper is 7.05 eV. copper has a density of8920 kg/m3 and an atomic mass of 63.5. On average, how manyelectrons does an atom contribute to the conduction band?