Effective Density of State Calculator

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✖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%
✖Fermi function is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature.ⓘ Fermi Function [f_E]			+10% -10%

✖Effective Density of State in Conduction Band is defined as the number of equivalent energy minima in the conduction band.ⓘ Effective Density of State [N_c]

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Effective Density of State

Formula

`"N"_{"c"} = "n"_{"0"}/"f"_{"E"}`

Example

`"6.4E^8/m³"="1.4e7/m³"/"0.022"`

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Effective Density of State Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function
N_c = n₀/f_E
This formula uses 3 Variables

Variables Used

Effective Density of State in Conduction Band - (Measured in 1 per Cubic Meter) - Effective Density of State in Conduction Band is defined as the number of equivalent energy minima in the conduction band.
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.
Fermi Function - Fermi function is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature.

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
Fermi Function: 0.022 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_c = n₀/f_E --> 14000000/0.022

Evaluating ... ...

N_c = 636363636.363636

STEP 3: Convert Result to Output's Unit

636363636.363636 1 per Cubic Meter --> No Conversion Required

FINAL ANSWER

636363636.363636 ≈ 6.4E+8 1 per Cubic Meter <-- Effective Density of State in Conduction Band

(Calculation completed in 00.004 seconds)

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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

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< 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

Concentration in Conduction Band

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

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

Effective Density State in Valence Band

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

Concentration of Holes in Valence Band

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

Recombination Lifetime

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

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)

Thermal Generation Rate

Go Thermal Generation = Proportionality for Recombination*(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

Effective Density of State Formula

Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function
N_c = n₀/f_E

What is effective mass density?

Its used to represent the original mass-in-mass lattice system, the effective mass density. becomes frequency dependent and may become negative for frequencies near the reso- nance frequency of the internal mass. In contrast, if a multi-displacement microstructure.

How to Calculate Effective Density of State?

Effective Density of State calculator uses Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function to calculate the Effective Density of State in Conduction Band, The Effective Density of state(Nc) formula is defined as the number of equivalent energy minima in the conduction band. Effective Density of State in Conduction Band is denoted by N_c symbol.

How to calculate Effective Density of State using this online calculator? To use this online calculator for Effective Density of State, enter Electron Concentration in Conduction Band (n₀) & Fermi Function (f_E) and hit the calculate button. Here is how the Effective Density of State calculation can be explained with given input values -> 6.4E+8 = 14000000/0.022.

FAQ

What is Effective Density of State?

The Effective Density of state(Nc) formula is defined as the number of equivalent energy minima in the conduction band and is represented as N_c = n₀/f_E or Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function. 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 & Fermi function is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature.

How to calculate Effective Density of State?

The Effective Density of state(Nc) formula is defined as the number of equivalent energy minima in the conduction band is calculated using Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function. To calculate Effective Density of State, you need Electron Concentration in Conduction Band (n₀) & Fermi Function (f_E). With our tool, you need to enter the respective value for Electron Concentration in Conduction Band & Fermi Function and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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