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Electron Diffusion Length Formula

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Electron Diffusion Length is related to the carrier lifetime by the diffusivity. Check FAQs

L n = \sqrt{D n \cdot τ n}

L_n - Electron Diffusion Length?D_n - Electron Diffusion Constant?τ_n - Minority Carrier Lifetime?

Electron Diffusion Length Example

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With units

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

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

Here is how the Electron Diffusion Length equation looks like.

44.9912 = \sqrt{44982.46 \cdot 45000}

44.9912cm = \sqrt{44982.46cm²/s \cdot 45000μs}

44.9912 = \sqrt{44982.46 \cdot 45000}

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Electron Diffusion Length Solution

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

FIRST Step Consider the formula

L n = \sqrt{D n \cdot τ n}

Next Step Substitute values of Variables

∴

L n = \sqrt{44982.46cm²/s \cdot 45000μs}

Next Step Convert Units

∴

L n = \sqrt{4.4982m²/s \cdot 0.045s}

Next Step Prepare to Evaluate

∴

L n = \sqrt{4.4982 \cdot 0.045}

Next Step Evaluate

∴

L n = 0.449912291452456m

Next Step Convert to Output's Unit

∴

L n = 44.9912291452456cm

LAST Step Rounding Answer

∴

L n = 44.9912cm

Electron Diffusion Length Formula Elements

Variables

Functions

Electron Diffusion Length

Electron Diffusion Length is related to the carrier lifetime by the diffusivity.

Symbol: L_n

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Electron Diffusion Length

Electron Diffusion Constant

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.

Symbol: D_n

Measurement: DiffusivityUnit: cm²/s

Note: Value can be positive or negative.

Formulas to find Electron Diffusion Constant

Minority Carrier Lifetime

Minority Carrier Lifetime is used to determine the electron diffusion length.

Symbol: τ_n

Measurement: TimeUnit: μs

Note: Value should be greater than 0.

Formulas to find Minority Carrier Lifetime

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.

Syntax: sqrt(Number)

Other formulas in Semiconductor Characteristics category

Go Fermi Level of Intrinsic Semiconductors

E Fi = \frac{E c + E v}{2}

Go Mobility of Charge Carriers

μ = \frac{V d}{E I}

Go Conductivity in Semiconductors

σ = (ρ e \cdot [Charge-e] \cdot μ n) + (ρ h \cdot [Charge-e] \cdot μ p)

Go Conductivity of Extrinsic Semiconductors for N-type

σ n = N d \cdot [Charge-e] \cdot μ n

How to Evaluate Electron Diffusion Length?

Electron Diffusion Length evaluator uses Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime) to evaluate 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 evaluate Electron Diffusion Length using this online evaluator? To use this online evaluator for Electron Diffusion Length, enter Electron Diffusion Constant (D_n) & Minority Carrier Lifetime (τ_n) and hit the calculate button.

FAQs on Electron Diffusion Length

What is the formula to find Electron Diffusion Length?

The formula of Electron Diffusion Length is expressed as Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime). Here is an example- 4499.123 = sqrt(4.498246*0.045).

How to calculate Electron Diffusion Length?

With Electron Diffusion Constant (D_n) & Minority Carrier Lifetime (τ_n) we can find Electron Diffusion Length using the formula - Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime). This formula also uses Square Root (sqrt) function(s).

Can the Electron Diffusion Length be negative?

No, the Electron Diffusion Length, measured in Length cannot be negative.

Which unit is used to measure Electron Diffusion Length?

Electron Diffusion Length is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Electron Diffusion Length can be measured.

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