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Hole Diffusion Length Formula

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Holes Diffusion Length refers to the average distance the relevant charge moves in the semiconductor. Check FAQs

L p = \sqrt{D p \cdot τ p}

L_p - Holes Diffusion Length?D_p - Holes Diffusion Constant?τ_p - Hole Carrier Lifetime?

Hole Diffusion Length Example

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With units

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

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

Here is how the Hole Diffusion Length equation looks like.

0.3622 = \sqrt{37485.39 \cdot 0.035}

0.3622m = \sqrt{37485.39cm²/s \cdot 0.035s}

0.3622 = \sqrt{37485.39 \cdot 0.035}

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Hole Diffusion Length Solution

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

FIRST Step Consider the formula

L p = \sqrt{D p \cdot τ p}

Next Step Substitute values of Variables

∴

L p = \sqrt{37485.39cm²/s \cdot 0.035s}

Next Step Convert Units

∴

L p = \sqrt{3.7485m²/s \cdot 0.035s}

Next Step Prepare to Evaluate

∴

L p = \sqrt{3.7485 \cdot 0.035}

Next Step Evaluate

∴

L p = 0.362213838774832m

LAST Step Rounding Answer

∴

L p = 0.3622m

Hole Diffusion Length Formula Elements

Variables

Functions

Holes Diffusion Length

Holes Diffusion Length refers to the average distance the relevant charge moves in the semiconductor.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Holes Diffusion Length

Holes Diffusion Constant

Holes Diffusion Constant refers to a material property that describes the rate at which holes diffuse through the material in response to a concentration gradient.

Symbol: D_p

Measurement: DiffusivityUnit: cm²/s

Note: Value can be positive or negative.

Formulas to find Holes Diffusion Constant

Hole Carrier Lifetime

Hole Carrier Lifetime refers to the average time that a minority carrier hole exists in the material before recombining with an electron and thereby disappearing.

Symbol: τ_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Hole 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 Charge Carrier Characteristics category

Go Electrons Diffusion Constant

D n = μ n \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

Go Current Density due to Electrons

J n = [Charge-e] \cdot N e \cdot μ n \cdot E I

Go Current Density due to Holes

J p = [Charge-e] \cdot N p \cdot μ p \cdot E I

Go Conductivity in Metals

σ = N e \cdot [Charge-e] \cdot μ n

How to Evaluate Hole Diffusion Length?

Hole Diffusion Length evaluator uses Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime) to evaluate the Holes Diffusion Length, Hole Diffusion Length is the average distance that a hole can travel through the material before recombining with an electron and thereby disappearing. It is a key parameter that characterizes the performance of p-type semiconductor devices such as solar cells, photodiodes, and transistors. Holes Diffusion Length is denoted by L_p symbol.

How to evaluate Hole Diffusion Length using this online evaluator? To use this online evaluator for Hole Diffusion Length, enter Holes Diffusion Constant (D_p) & Hole Carrier Lifetime (τ_p) and hit the calculate button.

FAQs on Hole Diffusion Length

What is the formula to find Hole Diffusion Length?

The formula of Hole Diffusion Length is expressed as Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime). Here is an example- 362213.8 = sqrt(3.748539*0.035).

How to calculate Hole Diffusion Length?

With Holes Diffusion Constant (D_p) & Hole Carrier Lifetime (τ_p) we can find Hole Diffusion Length using the formula - Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime). This formula also uses Square Root (sqrt) function(s).

Can the Hole Diffusion Length be negative?

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

Which unit is used to measure Hole Diffusion Length?

Hole Diffusion Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hole Diffusion Length can be measured.

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