LCM of two numbers

Fermi Function Calculator

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Energy Band and Charge Carrier Electrons and 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%
✖Effective Density of State in Conduction Band is defined as the number of equivalent energy minima in the conduction band.ⓘ Effective Density of State in Conduction Band [N_c]			+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]

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Formula

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Fermi Function

Formula

f E = \frac{n 0}{N c}

Example

0.021875 = \frac{1.4e7 /m³}{6.4e8 /m³}

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Fermi Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Effective Density of State in Conduction Band: 640000000 1 per Cubic Meter --> 640000000 1 per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_E = n₀/N_c --> 14000000/640000000

Evaluating ... ...

f_E = 0.021875

STEP 3: Convert Result to Output's Unit

0.021875 --> No Conversion Required

FINAL ANSWER

0.021875 <-- Fermi Function

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Energy Band and Charge Carrier Calculators

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

Valence Band Energy

Go Valence Band Energy = Conduction Band Energy-Energy Gap

Energy Gap

Go Energy Gap = Conduction Band Energy-Valence Band Energy

< Semiconductor Carriers Calculators

Fermi Function

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

Distribution Coefficient

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

Photoelectron Energy

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

Conduction Band Energy

Go Conduction Band Energy = Energy Gap+Valence Band Energy

Fermi Function Formula

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

What is Fermi Level?

"Fermi level" is the term used to describe the top of the collection of electron energy levels at absolute zero temperature. This concept comes from Fermi-Dirac statistics.

How to Calculate Fermi Function?

Fermi Function calculator uses Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band to calculate the Fermi Function, The Fermi Function formula is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature. This concept comes from Fermi-Dirac statistics. Electrons are fermions and by the Pauli exclusion principle cannot exist in identical energy states. Fermi Function is denoted by f_E symbol.

How to calculate Fermi Function using this online calculator? To use this online calculator for Fermi Function, enter Electron Concentration in Conduction Band (n₀) & Effective Density of State in Conduction Band (N_c) and hit the calculate button. Here is how the Fermi Function calculation can be explained with given input values -> 0.021875 = 14000000/640000000.

FAQ

What is Fermi Function?

The Fermi Function formula is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature. This concept comes from Fermi-Dirac statistics. Electrons are fermions and by the Pauli exclusion principle cannot exist in identical energy states and is represented as f_E = n₀/N_c or Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band. 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 & Effective Density of State in Conduction Band is defined as the number of equivalent energy minima in the conduction band.

How to calculate Fermi Function?

The Fermi Function formula is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature. This concept comes from Fermi-Dirac statistics. Electrons are fermions and by the Pauli exclusion principle cannot exist in identical energy states is calculated using Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band. To calculate Fermi Function, you need Electron Concentration in Conduction Band (n₀) & Effective Density of State in Conduction Band (N_c). With our tool, you need to enter the respective value for Electron Concentration in Conduction Band & Effective Density of State in Conduction Band 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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