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Effective Density of State Formula

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

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

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

Effective Density of State Example

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Here is how the Effective Density of State equation looks like with Values.

Here is how the Effective Density of State equation looks like with Units.

Here is how the Effective Density of State equation looks like.

6.4E+8 = \frac{1.4E+7}{0.022}

6.4E+81/m³ = \frac{1.4E+71/m³}{0.022}

6.4E+8 = \frac{1.4E+7}{0.022}

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Effective Density of State Solution

Follow our step by step solution on how to calculate Effective Density of State?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N c = \frac{1.4E+71/m³}{0.022}

Next Step Prepare to Evaluate

∴

N c = \frac{1.4E+7}{0.022}

Next Step Evaluate

∴

N c = 636363636.3636361/m³

LAST Step Rounding Answer

∴

N c = 6.4E+81/m³

Effective Density of State Formula Elements

Variables

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

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

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

Other formulas in Energy Band and Charge Carrier category

Go Energy Gap

E g = E c - E v

Go Valence Band Energy

E v = E c - E g

Go Steady State Electron Concentration

n ss = n 0 + δ n

Go Energy of Electron given Coulomb's Constant

E e = \frac{n^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot [Mass-e] \cdot L^{2}}

How to Evaluate Effective Density of State?

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

FAQs on Effective Density of State

What is the formula to find Effective Density of State?

The formula of Effective Density of State is expressed as Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function. Here is an example- 6.4E+8 = 14000000/0.022.

How to calculate Effective Density of State?

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

Can the Effective Density of State be negative?

No, the Effective Density of State, measured in Carrier Concentration cannot be negative.

Which unit is used to measure Effective Density of State?

Effective Density of State is usually measured using the 1 per Cubic Meter[1/m³] for Carrier Concentration. 1 per Cubic Centimeter[1/m³], per Liter[1/m³] are the few other units in which Effective Density of State can be measured.

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Effective Density of State Formula

Effective Density of State Example

Effective Density of State Solution

Effective Density of State Formula Elements

Other formulas in Energy Band and Charge Carrier category

How to Evaluate Effective Density of State?

FAQs on Effective Density of State

Variable Name