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Fermi Function Formula

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Fermi function is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature. Check FAQs

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

f_E - Fermi Function?n₀ - Electron Concentration in Conduction Band?N_c - Effective Density of State in Conduction Band?

Fermi Function Example

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Here is how the Fermi Function equation looks like with Values.

Here is how the Fermi Function equation looks like with Units.

Here is how the Fermi Function equation looks like.

0.0219 = \frac{1.4E+7}{6.4E+8}

0.0219 = \frac{1.4E+71/m³}{6.4E+81/m³}

0.0219 = \frac{1.4E+7}{6.4E+8}

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Fermi Function Solution

Follow our step by step solution on how to calculate Fermi Function?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f E = \frac{1.4E+71/m³}{6.4E+81/m³}

Next Step Prepare to Evaluate

∴

f E = \frac{1.4E+7}{6.4E+8}

Next Step Evaluate

∴

f E = 0.021875

LAST Step Rounding Answer

∴

f E = 0.0219

Fermi Function Formula Elements

Variables

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.

Symbol: f_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fermi Function

Electron Concentration 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.

Symbol: n₀

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Electron Concentration in Conduction Band

Effective Density of State in Conduction Band

Effective Density of State in Conduction Band is defined as the number of equivalent energy minima in the conduction band.

Symbol: N_c

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Effective Density of State in Conduction Band

Other formulas in Energy Band and Charge Carrier category

Go Distribution Coefficient

k d = \frac{C solid}{C L}

Go Photoelectron Energy

E photo = [hP] \cdot f

Go Conduction Band Energy

E c = E g + E v

Go Carrier Lifetime

T a = \frac{1}{α r \cdot (p 0 + n 0)}

How to Evaluate Fermi Function?

Fermi Function evaluator uses Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band to evaluate 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 evaluate Fermi Function using this online evaluator? To use this online evaluator for Fermi Function, enter Electron Concentration in Conduction Band (n₀) & Effective Density of State in Conduction Band (N_c) and hit the calculate button.

FAQs on Fermi Function

What is the formula to find Fermi Function?

The formula of Fermi Function is expressed as Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band. Here is an example- 0.021875 = 14000000/640000000.

How to calculate Fermi Function?

With Electron Concentration in Conduction Band (n₀) & Effective Density of State in Conduction Band (N_c) we can find Fermi Function using the formula - Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band.

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Fermi Function Formula

Fermi Function Example

Fermi Function Solution

Fermi Function Formula Elements

Other formulas in Energy Band and Charge Carrier category

How to Evaluate Fermi Function?

FAQs on Fermi Function

Variable Name