Electron Diffusion Length Calculator

✖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.ⓘ Electron Diffusion Constant [D_n]			+10% -10%
✖Minority Carrier Lifetime is used to determine the electron diffusion length.ⓘ Minority Carrier Lifetime [τ_n]			+10% -10%

✖Electron Diffusion Length is related to the carrier lifetime by the diffusivity.ⓘ Electron Diffusion Length [L_n]

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Electron Diffusion Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)
L_n = sqrt(D_n*τ_n)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Electron Diffusion Length - (Measured in Meter) - Electron Diffusion Length is related to the carrier lifetime by the diffusivity.
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.
Minority Carrier Lifetime - (Measured in Second) - Minority Carrier Lifetime is used to determine the electron diffusion length.

STEP 1: Convert Input(s) to Base Unit

Electron Diffusion Constant: 44982.46 Square Centimeter Per Second --> 4.498246 Square Meter Per Second (Check conversion here)
Minority Carrier Lifetime: 45000 Microsecond --> 0.045 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_n = sqrt(D_n*τ_n) --> sqrt(4.498246*0.045)

Evaluating ... ...

L_n = 0.449912291452456

STEP 3: Convert Result to Output's Unit

0.449912291452456 Meter -->44.9912291452456 Centimeter (Check conversion here)

FINAL ANSWER

44.9912291452456 ≈ 44.99123 Centimeter <-- Electron Diffusion Length

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< Semiconductor Characteristics Calculators

Conductivity in Semiconductors

LaTeX Go Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes)

Electron Diffusion Length

LaTeX Go Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)

Fermi Level of Intrinsic Semiconductors

LaTeX Go Fermi Level Intrinsic Semiconductor = (Conduction Band Energy+Valance Band Energy)/2

Mobility of Charge Carriers

LaTeX Go Charge Carriers Mobility = Drift Speed/Electric Field Intensity

Electron Diffusion Length Formula

LaTeX Go

Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)
L_n = sqrt(D_n*τ_n)

What is electron diffusion length?

Diffusion length is the average length a carrier moves between generation and recombination.
Semiconductor materials that are heavily doped have greater recombination rates and consequently, have shorter diffusion lengths.
Higher diffusion lengths are indicative of materials with longer lifetimes and are, therefore, an important quality to consider with semiconductor materials.

How to Calculate Electron Diffusion Length?

Electron Diffusion Length calculator uses Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime) to calculate the Electron Diffusion Length, Electron Diffusion Length is the relation of electron diffusion constant with electron minority carrier lifetime. Electron Diffusion Length is denoted by L_n symbol.

How to calculate Electron Diffusion Length using this online calculator? To use this online calculator for Electron Diffusion Length, enter Electron Diffusion Constant (D_n) & Minority Carrier Lifetime (τ_n) and hit the calculate button. Here is how the Electron Diffusion Length calculation can be explained with given input values -> 4499.123 = sqrt(4.498246*0.045).

FAQ

What is Electron Diffusion Length?

Electron Diffusion Length is the relation of electron diffusion constant with electron minority carrier lifetime and is represented as L_n = sqrt(D_n*τ_n) or Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime). 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 & Minority Carrier Lifetime is used to determine the electron diffusion length.

How to calculate Electron Diffusion Length?

Electron Diffusion Length is the relation of electron diffusion constant with electron minority carrier lifetime is calculated using Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime). To calculate Electron Diffusion Length, you need Electron Diffusion Constant (D_n) & Minority Carrier Lifetime (τ_n). With our tool, you need to enter the respective value for Electron Diffusion Constant & Minority Carrier Lifetime 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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