Hole Diffusion Length Calculator

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✖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.ⓘ Holes Diffusion Constant [D_p]			+10% -10%
✖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.ⓘ Hole Carrier Lifetime [τ_p]			+10% -10%

✖Holes Diffusion Length refers to the average distance the relevant charge moves in the semiconductor.ⓘ Hole Diffusion Length [L_p]

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Formula

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Hole Diffusion Length

Formula

`"L"_{"p"} = sqrt("D"_{"p"}*"τ"_{"p"})`

Example

`"0.362214m"=sqrt("37485.39cm²/s"*"0.035s")`

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Hole Diffusion Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)
L_p = sqrt(D_p*τ_p)
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

Holes Diffusion Length - (Measured in Meter) - Holes Diffusion Length refers to the average distance the relevant charge moves in the semiconductor.
Holes Diffusion Constant - (Measured in Square Meter Per Second) - 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.
Hole Carrier Lifetime - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Holes Diffusion Constant: 37485.39 Square Centimeter Per Second --> 3.748539 Square Meter Per Second (Check conversion here)
Hole Carrier Lifetime: 0.035 Second --> 0.035 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = sqrt(D_p*τ_p) --> sqrt(3.748539*0.035)

Evaluating ... ...

L_p = 0.362213838774832

STEP 3: Convert Result to Output's Unit

0.362213838774832 Meter --> No Conversion Required

FINAL ANSWER

0.362213838774832 ≈ 0.362214 Meter <-- Holes 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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< 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

Hole Diffusion Length Formula

Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime)
L_p = sqrt(D_p*τ_p)

What is the significance of diffusion length?

Carrier diffusion length is a fundamental concept in semiconductor physics and refers to the average distance an excess charge carrier (electron or hole) can travel through a semiconductor material before it recombines with an opposite charge carrier or is otherwise lost. It's a measure of how far carriers can diffuse away from their point of generation.

How to Calculate Hole Diffusion Length?

Hole Diffusion Length calculator uses Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime) to calculate 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 calculate Hole Diffusion Length using this online calculator? To use this online calculator for Hole Diffusion Length, enter Holes Diffusion Constant (D_p) & Hole Carrier Lifetime (τ_p) and hit the calculate button. Here is how the Hole Diffusion Length calculation can be explained with given input values -> 362213.8 = sqrt(3.748539*0.035).

FAQ

What is Hole 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 and is represented as L_p = sqrt(D_p*τ_p) or Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime). 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 & 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.

How to calculate Hole 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 is calculated using Holes Diffusion Length = sqrt(Holes Diffusion Constant*Hole Carrier Lifetime). To calculate Hole Diffusion Length, you need Holes Diffusion Constant (D_p) & Hole Carrier Lifetime (τ_p). With our tool, you need to enter the respective value for Holes Diffusion Constant & Hole 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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