Uncover crucial semiconductor properties with our Intrinsic Carrier Concentration Calculator. This essential online tool simplifies the calculation of nᵢ, a fundamental parameter for engineers and students studying semiconductor physics. Easily determine the intrinsic carrier concentration by inputting the required material properties and temperature.
Formula:
The intrinsic carrier concentration (nᵢ) is a fundamental property of an intrinsic semiconductor, representing the density of electrons and holes when the material is pure. It is calculated using the following formula:
nᵢ = √(Nc × Nv) × exp(-Eg / (2 × kB × T))
- nᵢ: Intrinsic Carrier Concentration (cm-3)
- Nc: Effective Density of States in Conduction Band (cm-3)
- Nv: Effective Density of States in Valence Band (cm-3)
- Eg: Bandgap Energy (eV)
- kB: Boltzmann Constant (approximately 8.617 × 10-5 eV/K)
- T: Absolute Temperature (Kelvin)