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Diffusion Coefficient of Electron Formula

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Electron Diffusion Coefficient is a measure of the ease of electron motion through the crystal lattice. It is related to the mobility of the carrier, electron in this case. Check FAQs

D E = μ e \cdot [BoltZ] \cdot \frac{T}{[Charge-e]}

D_E - Electron Diffusion Coefficient?μ_e - Mobility of Electron?T - Absolute Temperature?[BoltZ] - Boltzmann constant?[Charge-e] - Charge of electron?

Diffusion Coefficient of Electron Example

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Here is how the Diffusion Coefficient of Electron equation looks like with Values.

Here is how the Diffusion Coefficient of Electron equation looks like with Units.

Here is how the Diffusion Coefficient of Electron equation looks like.

0.0034 = 1000 \cdot 1.4E-23 \cdot \frac{393}{1.6E-19}

0.0034m²/s = 1000cm²/V*s \cdot 1.4E-23J/K \cdot \frac{393K}{1.6E-19C}

0.0034 = 1000 \cdot 1.4E-23 \cdot \frac{393}{1.6E-19}

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Diffusion Coefficient of Electron Solution

Follow our step by step solution on how to calculate Diffusion Coefficient of Electron?

FIRST Step Consider the formula

D E = μ e \cdot [BoltZ] \cdot \frac{T}{[Charge-e]}

Next Step Substitute values of Variables

∴

D E = 1000cm²/V*s \cdot [BoltZ] \cdot \frac{393K}{[Charge-e]}

Next Step Substitute values of Constants

∴

D E = 1000cm²/V*s \cdot 1.4E-23J/K \cdot \frac{393K}{1.6E-19C}

Next Step Convert Units

∴

D E = 0.1m²/V*s \cdot 1.4E-23J/K \cdot \frac{393K}{1.6E-19C}

Next Step Prepare to Evaluate

∴

D E = 0.1 \cdot 1.4E-23 \cdot \frac{393}{1.6E-19}

Next Step Evaluate

∴

D E = 0.00338661082421737m²/s

LAST Step Rounding Answer

∴

D E = 0.0034m²/s

Diffusion Coefficient of Electron Formula Elements

Variables

Constants

Electron Diffusion Coefficient

Electron Diffusion Coefficient is a measure of the ease of electron motion through the crystal lattice. It is related to the mobility of the carrier, electron in this case.

Symbol: D_E

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Electron Diffusion Coefficient

Mobility of Electron

Mobility of Electron is defined as the drift velocity of the electron per unit electric field.

Symbol: μ_e

Measurement: MobilityUnit: cm²/V*s

Note: Value should be greater than 0.

Formulas to find Mobility of Electron

Absolute Temperature

Absolute Temperature represents the temperature of the system.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Absolute Temperature

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

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How to Evaluate Diffusion Coefficient of Electron?

Diffusion Coefficient of Electron evaluator uses Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e] to evaluate the Electron Diffusion Coefficient, The Diffusion Coefficient of Electron formula is defined as the measure of the ease of electron motion through the crystal lattice. It is related to the mobility of the carrier, i.e., electron in this case. Electron Diffusion Coefficient is denoted by D_E symbol.

How to evaluate Diffusion Coefficient of Electron using this online evaluator? To use this online evaluator for Diffusion Coefficient of Electron, enter Mobility of Electron (μ_e) & Absolute Temperature (T) and hit the calculate button.

FAQs on Diffusion Coefficient of Electron

What is the formula to find Diffusion Coefficient of Electron?

The formula of Diffusion Coefficient of Electron is expressed as Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]. Here is an example- 0.003387 = 0.1*[BoltZ]*393/[Charge-e].

How to calculate Diffusion Coefficient of Electron?

With Mobility of Electron (μ_e) & Absolute Temperature (T) we can find Diffusion Coefficient of Electron using the formula - Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]. This formula also uses Boltzmann constant, Charge of electron constant(s).

Can the Diffusion Coefficient of Electron be negative?

No, the Diffusion Coefficient of Electron, measured in Diffusivity cannot be negative.

Which unit is used to measure Diffusion Coefficient of Electron?

Diffusion Coefficient of Electron is usually measured using the Square Meter Per Second[m²/s] for Diffusivity. Square Centimeter Per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Diffusion Coefficient of Electron can be measured.

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Diffusion Coefficient of Electron Formula

Diffusion Coefficient of Electron Example

Diffusion Coefficient of Electron Solution

Diffusion Coefficient of Electron Formula Elements

Other formulas in Devices with Optical Components category

How to Evaluate Diffusion Coefficient of Electron?

FAQs on Diffusion Coefficient of Electron

Variable Name