Electrons Diffusion Constant Calculator

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✖Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.ⓘ Mobility of Electron [μ_n]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Electron Diffusion Constant refers to a material property that describes the rate at which electrons diffuse through the material in response to a concentration gradient.ⓘ Electrons Diffusion Constant [D_n]

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Formula

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Electrons Diffusion Constant

Formula

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

Example

`"44982.46cm²/s"="180m²/V*s"*(("[BoltZ]"*"290K")/"[Charge-e]")`

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Electrons Diffusion Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e])
D_n = μ_n*(([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 Constant - (Measured in Square Meter Per Second) - Electron Diffusion Constant refers to a material property that describes the rate at which electrons diffuse through the material in response to a concentration gradient.
Mobility of Electron - (Measured in Square Meter per Volt per Second) - Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Mobility of Electron: 180 Square Meter per Volt per Second --> 180 Square Meter per Volt per Second No Conversion Required
Temperature: 290 Kelvin --> 290 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_n = μ_n*(([BoltZ]*T)/[Charge-e]) --> 180*(([BoltZ]*290)/[Charge-e])

Evaluating ... ...

D_n = 4.49824643827345

STEP 3: Convert Result to Output's Unit

4.49824643827345 Square Meter Per Second -->44982.4643827345 Square Centimeter Per Second (Check conversion here)

FINAL ANSWER

44982.4643827345 ≈ 44982.46 Square Centimeter Per Second <-- Electron Diffusion Constant

(Calculation completed in 00.020 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 16 Charge Carrier Characteristics Calculators

Intrinsic Concentration

Go Intrinsic Carrier Concentration = sqrt(Effective Density in Valence Band*Effective Density in Conduction Band)*e^((-Temperature Dependence of Energy Band Gap)/(2*[BoltZ]*Temperature))

Electrostatic Deflection Sensitivity of CRT

Go Electrostatic Deflection Sensitivity = (Distance between Deflecting Plates*Screen and Deflecting Plates Distance)/(2*Deflection of Beam*Electron Velocity)

Current Density due to Electrons

Go Electron Current Density = [Charge-e]*Electron Concentration*Mobility of Electron*Electric Field Intensity

Current Density due to Holes

Go Holes Current Density = [Charge-e]*Holes Concentration*Mobility of Holes*Electric Field Intensity

Electrons Diffusion Constant

Go Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e])

Holes Diffusion Constant

Go Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e])

Intrinsic Carrier Concentration under Non-Equilibrium Conditions

Go Intrinsic Carrier Concentration = sqrt(Majority Carrier Concentration*Minority Carrier Concentration)

Force on Current Element in Magnetic Field

Go Force = Current Element*Magnetic Flux Density*sin(Angle between Planes)

Velocity of Electron

Go Velocity due to Voltage = sqrt((2*[Charge-e]*Voltage)/[Mass-e])

Time Period of Electron

Go Period of Particle Circular Path = (2*3.14*[Mass-e])/(Magnetic Field Strength*[Charge-e])

Hole Diffusion Length

Go Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)

Conductivity in Metals

Go Conductivity = Electron Concentration*[Charge-e]*Mobility of Electron

Velocity of Electron in Force Fields

Go Velocity of Electron in Force Fields = Electric Field Intensity/Magnetic Field Strength

Thermal Voltage

Go Thermal Voltage = [BoltZ]*Temperature/[Charge-e]

Thermal Voltage using Einstein's Equation

Go Thermal Voltage = Electron Diffusion Constant/Mobility of Electron

Convection Current Density

Go Convection Current Density = Charge Density*Charge Velocity

Electrons Diffusion Constant Formula

Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e])
D_n = μ_n*(([BoltZ]*T)/[Charge-e])

What is Einstein's Equation for electrons?

The Einstein's equation for electron depicts that the electron diffusion constant is equal to the electron mobility of a particle with a particular thermal energy. Einstein noted that the diffusion coefficient D of a Brownian particle moving in a fluid is related to its mobility U via the relation D=kTU, where k is the Boltzmann constant and T is the temperature of the fluid.

How to Calculate Electrons Diffusion Constant?

Electrons Diffusion Constant calculator uses Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e]) to calculate the Electron Diffusion Constant, Electrons Diffusion Constant formula is based on Einstein's Equation which essentially states that the diffusion constant of electrons is directly proportional to the product of the mobility of electrons and the thermal voltage (kT/q). In simpler terms, it links how quickly particles diffuse through a medium with their ability to move in response to an electric field and the thermal energy present in the system. Electron Diffusion Constant is denoted by D_n symbol.

How to calculate Electrons Diffusion Constant using this online calculator? To use this online calculator for Electrons Diffusion Constant, enter Mobility of Electron (μ_n) & Temperature (T) and hit the calculate button. Here is how the Electrons Diffusion Constant calculation can be explained with given input values -> 4.5E+8 = 180*(([BoltZ]*290)/[Charge-e]).

FAQ

What is Electrons Diffusion Constant?

Electrons Diffusion Constant formula is based on Einstein's Equation which essentially states that the diffusion constant of electrons is directly proportional to the product of the mobility of electrons and the thermal voltage (kT/q). In simpler terms, it links how quickly particles diffuse through a medium with their ability to move in response to an electric field and the thermal energy present in the system and is represented as D_n = μ_n*(([BoltZ]*T)/[Charge-e]) or Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e]). Mobility of electron is defined as the magnitude of average drift velocity per unit electric field & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Electrons Diffusion Constant?

Electrons Diffusion Constant formula is based on Einstein's Equation which essentially states that the diffusion constant of electrons is directly proportional to the product of the mobility of electrons and the thermal voltage (kT/q). In simpler terms, it links how quickly particles diffuse through a medium with their ability to move in response to an electric field and the thermal energy present in the system is calculated using Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e]). To calculate Electrons Diffusion Constant, you need Mobility of Electron (μ_n) & Temperature (T). With our tool, you need to enter the respective value for Mobility of Electron & 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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