Ionization Ratio (n/ND)
1.00 -
Intrinsic Concentration
1.45e10 cm⁻³
Fermi Level (EF - Ei)
0.347 eV
Conduction Regime
Extrinsic
Ionization in n-type semiconductor:
n/ND = 1/(1 + 2(ND/Nc)exp(Ed/kT)) [Freeze-out]
n ≈ ND [Extrinsic: Ed << kT]
n = ni = √(NcNv)exp(-Eg/2kT) [Intrinsic: ni >> ND]
Thermal Velocity
1.17e5 m/s
Mean Free Path
25.4 nm
Carrier Distribution Width
3.5 kT
Thermal Energy (kT)
25.9 meV
Distribution Functions:
f(E) = 1/(1 + exp((E - EF)/kT)) [Fermi-Dirac Distribution]
f(v) = 4π(m*/2πkT)^(3/2) v² exp(-m*v²/2kT) [Maxwell-Boltzmann Velocity]
vth = √(3kT/m*) [Thermal Velocity]
Electron Mobility
1350 cm²/V·s
Hole Mobility
480 cm²/V·s
Diffusion Coefficient
35.1 cm²/s
Conductivity
2.16 S/cm
Mobility & Scattering:
μ = qτ/m* [Mobility Definition]
1/μtotal = 1/μlattice + 1/μimpurity [Matthiessen's Rule]
μlattice ∝ T⁻³/² [Phonon Scattering], μimpurity ∝ T³/² [Ionized Impurity Scattering]
D = μkT/q [Einstein Relation]
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Total Score
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Challenges Completed
0
Hints Used

Semiconductor Physics Fundamentals

Test your understanding of semiconductor physics concepts with these multiple-choice questions.

Carrier Dynamics & Energy Bands

Demonstrate your advanced understanding of carrier dynamics and energy band theory in semiconductors.

Complete the Equations

Fill in the missing terms in these semiconductor physics equations and relationships.

Semiconductor Calculations

Solve these numerical problems related to semiconductor device physics and carrier transport.

Simulation Controls

300 K
10¹⁶ cm⁻³
Band Gap
1.12 eV
Effective Mass
1.08
Dielectric Const.
11.7
Mobility
1350 cm²/V·s
DOS (Nc)
2.8e19 cm⁻³
DOS (Nv)
1.04e19 cm⁻³
Donor Energy
45 meV
Thermal Voltage
25.9 mV
Debye Temp.
645 K