Diffusion Coefficient of Electron Calculator

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✖Mobility of Electron is defined as the drift velocity of the electron per unit electric field.ⓘ Mobility of Electron [μ_e]			+10% -10%
✖Absolute Temperature represents the temperature of the system.ⓘ Absolute Temperature [T]			+10% -10%

✖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.ⓘ Diffusion Coefficient of Electron [D_E]

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Diffusion Coefficient of Electron

Formula

`"D"_{"E"} = "μ"_{"e"}*"[BoltZ]"*"T"/"[Charge-e]"`

Example

`"0.003387m²/s"="1000cm²/V*s"*"[BoltZ]"*"393K"/"[Charge-e]"`

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Diffusion Coefficient of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]
D_E = μ_e*[BoltZ]*T/[Charge-e]
This formula uses 2 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Electron Diffusion Coefficient - (Measured in Square Meter Per Second) - 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.
Mobility of Electron - (Measured in Square Meter per Volt per Second) - Mobility of Electron is defined as the drift velocity of the electron per unit electric field.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature represents the temperature of the system.

STEP 1: Convert Input(s) to Base Unit

Mobility of Electron: 1000 Square Centimeter per Volt Second --> 0.1 Square Meter per Volt per Second (Check conversion here)
Absolute Temperature: 393 Kelvin --> 393 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_E = μ_e*[BoltZ]*T/[Charge-e] --> 0.1*[BoltZ]*393/[Charge-e]

Evaluating ... ...

D_E = 0.00338661082421737

STEP 3: Convert Result to Output's Unit

0.00338661082421737 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

0.00338661082421737 ≈ 0.003387 Square Meter Per Second <-- Electron Diffusion Coefficient

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics » Opto Electronics Devices » Devices with Optical Components » Diffusion Coefficient of Electron

Credits

Created by Priyanka G Chalikar

The National Institute Of Engineering (NIE), Mysuru

Priyanka G Chalikar has created this Calculator and 10+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 14 Devices with Optical Components Calculators

PN Junction Capacitance

Go Junction Capacitance = PN Junction Area/2*sqrt((2*[Charge-e]*Relative Permittivity*[Permitivity-silicon])/(Voltage Across PN Junction-(Reverse Bias Voltage))*((Acceptor Concentration*Donor Concentration)/(Acceptor Concentration+Donor Concentration)))

Electron Concentration under Unbalanced Condition

Go Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature))

Diffusion Length of Transition Region

Go Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction)

Current Due to Optically Generated Carrier

Go Optical Current = Charge*PN Junction Area*Optical Generation Rate*(Transition Width+Diffusion Length of Transition Region+Length of P-Side Junction)

Peak Retardation

Go Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage

Maximum Acceptance Angle of Compound Lens

Go Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant))

Effective Density of States in Conduction Band

Go Effective Density of States = 2*(2*pi*Effective Mass of Electron*[BoltZ]*Absolute Temperature/[hP]^2)^(3/2)

Diffusion Coefficient of Electron

Go Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]

Diffraction using Fresnel-Kirchoff Formula

Go Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture)

Fringe Spacing given Apex Angle

Go Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference))

Excitation Energy

Go Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2)

Brewsters Angle

Go Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index)

Angle of Rotation of Plane of Polarization

Go Angle of Rotation = 1.8*Magnetic Flux Density*Length of Medium

Apex Angle

Go Apex Angle = tan(Alpha)

Diffusion Coefficient of Electron Formula

Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]
D_E = μ_e*[BoltZ]*T/[Charge-e]

What does diffusion coefficient tell about mobility?

It describes how fast electrons can diffuse through the material. Higher the diffusion coefficient, faster the diffusion will be, hence greater mobility.

How to Calculate Diffusion Coefficient of Electron?

Diffusion Coefficient of Electron calculator uses Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e] to calculate 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 calculate Diffusion Coefficient of Electron using this online calculator? To use this online calculator for Diffusion Coefficient of Electron, enter Mobility of Electron (μ_e) & Absolute Temperature (T) and hit the calculate button. Here is how the Diffusion Coefficient of Electron calculation can be explained with given input values -> 0.003387 = 0.1*[BoltZ]*393/[Charge-e].

FAQ

What is Diffusion Coefficient of Electron?

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 and is represented as D_E = μ_e*[BoltZ]*T/[Charge-e] or Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]. Mobility of Electron is defined as the drift velocity of the electron per unit electric field & Absolute Temperature represents the temperature of the system.

How to calculate Diffusion Coefficient of Electron?

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 is calculated using Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]. To calculate Diffusion Coefficient of Electron, you need Mobility of Electron (μ_e) & Absolute Temperature (T). With our tool, you need to enter the respective value for Mobility of Electron & Absolute Temperature 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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