🔍
🔍

Credits

Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

Intrinsic concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature)))
ni = sqrt(Ao*(T)^3*e^-(Eg/(2*[BoltZ]*T)))
This formula uses 2 Constants, 1 Functions, 3 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Coefficient related to specific semiconductor- Coefficient related to specific semiconductor used to find intrinsic carrier concentration of semiconductor.
Temperature - Temperature is the degree or intensity of heat present in a substance or object. (Measured in Kelvin)
Semiconductor bandgap energy- Semiconductor bandgap energy is required to prevent short circuits
STEP 1: Convert Input(s) to Base Unit
Coefficient related to specific semiconductor: 2 --> No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Semiconductor bandgap energy: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ni = sqrt(Ao*(T)^3*e^-(Eg/(2*[BoltZ]*T))) --> sqrt(2*(85)^3*e^-(2/(2*[BoltZ]*85)))
Evaluating ... ...
ni = 0
STEP 3: Convert Result to Output's Unit
0 1 per Cubic Meter -->0 1 per Cubic Centimeter (Check conversion here)
0 1 per Cubic Centimeter <-- Intrinsic carrier concentration
(Calculation completed in 00.016 seconds)

< 10+ Basic Electronics Calculators

Conductivity in semiconductors in terms of mobility of electrons and holes
conductivity = Concentration of electrons in the conduction band*[Charge-e]*Mobility of holes+Majority carrier electron concentration*[Charge-e]*Mobility of electron Go
Intrinsic concentration
intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature))) Go
Conductivity of extrinsic semiconductor for p-type
conductivity_of_extrinsic_semiconductors_n_type = Acceptor concentration*[Charge-e]*Mobility of electron Go
Conductivity of extrinsic semiconductors for n-type
conductivity_of_extrinsic_semiconductors_p_type = Donor concentration*[Charge-e]*Mobility of holes Go
Majority carrier concentration in a Semiconductor
majority_carrier_electron_concentration = (Intrinsic carrier concentration)^2/Minority carrier concentration Go
Electron diffusion length in terms of relaxation time
electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time) Go
Conductivity in metals in terms of number of electrons
conductivity = Number of Electrons*Mobility of electron*[Charge-e] Go
Einstein's Equation
voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron Go
Mobility of a charge carriers
mobility_of_charge_carriers = Drift Velocity/Electric field intensity Go
Thermal Voltage or voltage equivalent of temperature
thermal_voltage = Temperature/11600 Go

Intrinsic concentration Formula

intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature)))
ni = sqrt(Ao*(T)^3*e^-(Eg/(2*[BoltZ]*T)))

What are the factors intrinsic concentration depends on?

This number of carriers depends on the bandgap of the material and on the temperature of the material. A large band gap will make it more difficult for a carrier to be thermally excited across the bandgap, and therefore the intrinsic carrier concentration is lower in higher bandgap materials.

How to Calculate Intrinsic concentration?

Intrinsic concentration calculator uses intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature))) to calculate the Intrinsic carrier concentration, The intrinsic concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material. Intrinsic carrier concentration and is denoted by ni symbol.

How to calculate Intrinsic concentration using this online calculator? To use this online calculator for Intrinsic concentration, enter Coefficient related to specific semiconductor (Ao), Temperature (T) and Semiconductor bandgap energy (Eg) and hit the calculate button. Here is how the Intrinsic concentration calculation can be explained with given input values -> 0 = sqrt(2*(85)^3*e^-(2/(2*[BoltZ]*85))).

FAQ

What is Intrinsic concentration?
The intrinsic concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material and is represented as ni = sqrt(Ao*(T)^3*e^-(Eg/(2*[BoltZ]*T))) or intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature))). Coefficient related to specific semiconductor used to find intrinsic carrier concentration of semiconductor, Temperature is the degree or intensity of heat present in a substance or object and Semiconductor bandgap energy is required to prevent short circuits.
How to calculate Intrinsic concentration?
The intrinsic concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material is calculated using intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature))). To calculate Intrinsic concentration, you need Coefficient related to specific semiconductor (Ao), Temperature (T) and Semiconductor bandgap energy (Eg). With our tool, you need to enter the respective value for Coefficient related to specific semiconductor, Temperature and Semiconductor bandgap energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Intrinsic carrier concentration?
In this formula, Intrinsic carrier concentration uses Coefficient related to specific semiconductor, Temperature and Semiconductor bandgap energy. We can use 10 other way(s) to calculate the same, which is/are as follows -
• thermal_voltage = Temperature/11600
• mobility_of_charge_carriers = Drift Velocity/Electric field intensity
• majority_carrier_electron_concentration = (Intrinsic carrier concentration)^2/Minority carrier concentration
• intrinsic_carrier_concentration = sqrt(Coefficient related to specific semiconductor*(Temperature)^3*e^-(Semiconductor bandgap energy/(2*[BoltZ]*Temperature)))
• voltage_equivalent_of_temperature = Electron Diffusion Constant/Mobility of electron
• electron_diffusion_length = sqrt(Electron Diffusion Constant*Relaxation time)
• conductivity = Number of Electrons*Mobility of electron*[Charge-e]
• conductivity = Concentration of electrons in the conduction band*[Charge-e]*Mobility of holes+Majority carrier electron concentration*[Charge-e]*Mobility of electron
• conductivity_of_extrinsic_semiconductors_p_type = Donor concentration*[Charge-e]*Mobility of holes
• conductivity_of_extrinsic_semiconductors_n_type = Acceptor concentration*[Charge-e]*Mobility of electron
Where is the Intrinsic concentration calculator used?
Among many, Intrinsic concentration calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Let Others Know