Steady State Electron Concentration Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Energy Band & Charge Carrier

Electrons & Holes

Semiconductor Carriers

SSD Junction

✖Electron Concentration in Conduction Band refers to the quantity or abundance of free electrons available for conduction in the conduction band of a semiconductor material.ⓘ Electron Concentration in Conduction Band [n₀]			+10% -10%
✖Excess Carrier Concentration is extra of electron present in the carrier concentration.ⓘ Excess Carrier Concentration [δ_n]			+10% -10%

✖Steady State Carrier Concentration refers to the equilibrium concentration of electrons in the conduction band of the material under steady-state conditions.ⓘ Steady State Electron Concentration [n_ss]

⎘ Copy

👎

Formula

✖

Steady State Electron Concentration

Formula

`"n"_{"ss"} = "n"_{"0"}+"δ"_{"n"}`

Example

`"1E^14/m³"="1.4e7/m³"+"1.049e14/m³"`

Calculator

LaTeX

Reset

👍

Download Energy Band & Charge Carrier Formulas PDF

Steady State Electron Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration
n_ss = n₀+δ_n
This formula uses 3 Variables

Variables Used

Steady State Carrier Concentration - (Measured in 1 per Cubic Meter) - Steady State Carrier Concentration refers to the equilibrium concentration of electrons in the conduction band of the material under steady-state conditions.
Electron Concentration in Conduction Band - (Measured in 1 per Cubic Meter) - Electron Concentration in Conduction Band refers to the quantity or abundance of free electrons available for conduction in the conduction band of a semiconductor material.
Excess Carrier Concentration - (Measured in 1 per Cubic Meter) - Excess Carrier Concentration is extra of electron present in the carrier concentration.

STEP 1: Convert Input(s) to Base Unit

Electron Concentration in Conduction Band: 14000000 1 per Cubic Meter --> 14000000 1 per Cubic Meter No Conversion Required
Excess Carrier Concentration: 104900000000000 1 per Cubic Meter --> 104900000000000 1 per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_ss = n₀+δ_n --> 14000000+104900000000000

Evaluating ... ...

n_ss = 104900014000000

STEP 3: Convert Result to Output's Unit

104900014000000 1 per Cubic Meter --> No Conversion Required

FINAL ANSWER

104900014000000 ≈ 1E+14 1 per Cubic Meter <-- Steady State Carrier Concentration

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Solid State Devices » Energy Band & Charge Carrier » Steady State Electron Concentration

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 20 Energy Band & Charge Carrier Calculators

Intrinsic Carrier Concentration

Go Intrinsic Carrier Concentration = sqrt(Effective Density of State in Valence Band*Effective Density of State in Conduction Band) *exp(-Energy Gap/(2*[BoltZ]*Temperature))

Carrier Lifetime

Go Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band))

Energy of Electron given Coulomb's Constant

Go Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2)

Steady State Electron Concentration

Go Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration

Effective Density of State

Go Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function

Fermi Function

Go Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band

Concentration in Conduction Band

Go Electron Concentration in Conduction Band = Effective Density of State in Conduction Band*Fermi Function

Effective Density State in Valence Band

Go Effective Density of State in Valence Band = Holes Concentration in Valance Band/(1-Fermi Function)

Recombination Lifetime

Go Recombination Lifetime = (Proportionality for Recombination*Holes Concentration in Valance Band)^-1

Concentration of Holes in Valence Band

Go Holes Concentration in Valance Band = Effective Density of State in Valence Band*(1-Fermi Function)

Thermal Generation Rate

Go Thermal Generation = Proportionality for Recombination*(Intrinsic Carrier Concentration ^2)

Distribution Coefficient

Go Distribution Coefficient = Impurity Concentration in Solid/Impurity Concentration in Liquid

Liquid Concentration

Go Impurity Concentration in Liquid = Impurity Concentration in Solid/Distribution Coefficient

Net Rate of Change in Conduction Band

Go Proportionality for Recombination = Thermal Generation/(Intrinsic Carrier Concentration^2)

Excess Carrier Concentration

Go Excess Carrier Concentration = Optical Generation Rate*Recombination Lifetime

Optical Generation Rate

Go Optical Generation Rate = Excess Carrier Concentration/Recombination Lifetime

Photoelectron Energy

Go Photoelectron Energy = [hP]*Frequency of Incident Light

Conduction Band Energy

Go Conduction Band Energy = Energy Gap+Valence Band Energy

Valence Band Energy

Go Valence Band Energy = Conduction Band Energy-Energy Gap

Energy Gap

Go Energy Gap = Conduction Band Energy-Valence Band Energy

Steady State Electron Concentration Formula

Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration
n_ss = n₀+δ_n

What is Quasi-Fermi Level?

A quasi Fermi level is a term used in quantum mechanics and especially in solid state physics for the Fermi level that describes the population of electrons separately in the conduction band and valence band, when their populations are displaced from equilibrium.

How to Calculate Steady State Electron Concentration?

Steady State Electron Concentration calculator uses Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration to calculate the Steady State Carrier Concentration, Steady State Electron Concentration refers to the equilibrium concentration of electrons in the conduction band of the material under steady-state conditions. It represents the balance between the generation and recombination processes that govern the behaviour of electrons in the device. Steady State Carrier Concentration is denoted by n_ss symbol.

How to calculate Steady State Electron Concentration using this online calculator? To use this online calculator for Steady State Electron Concentration, enter Electron Concentration in Conduction Band (n₀) & Excess Carrier Concentration (δ_n) and hit the calculate button. Here is how the Steady State Electron Concentration calculation can be explained with given input values -> 1E+14 = 14000000+104900000000000.

FAQ

What is Steady State Electron Concentration?

Steady State Electron Concentration refers to the equilibrium concentration of electrons in the conduction band of the material under steady-state conditions. It represents the balance between the generation and recombination processes that govern the behaviour of electrons in the device and is represented as n_ss = n₀+δ_n or Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration. Electron Concentration in Conduction Band refers to the quantity or abundance of free electrons available for conduction in the conduction band of a semiconductor material & Excess Carrier Concentration is extra of electron present in the carrier concentration.

How to calculate Steady State Electron Concentration?

Steady State Electron Concentration refers to the equilibrium concentration of electrons in the conduction band of the material under steady-state conditions. It represents the balance between the generation and recombination processes that govern the behaviour of electrons in the device is calculated using Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration. To calculate Steady State Electron Concentration, you need Electron Concentration in Conduction Band (n₀) & Excess Carrier Concentration (δ_n). With our tool, you need to enter the respective value for Electron Concentration in Conduction Band & Excess Carrier Concentration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search