Electron Diffusion Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)
Ln = sqrt(Dn*τn)
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
Ln = sqrt(Dnn) --> sqrt(4.498246*0.045)
Evaluating ... ...
Ln = 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)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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13 Semiconductor Characteristics Calculators

Conductivity in Semiconductors
Go Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes)
Fermi Dirac Distribution Function
Go Fermi Dirac Distribution Function = 1/(1+e^((Fermi Level Energy-Fermi Level Energy)/([BoltZ]*Temperature)))
Conductivity of Extrinsic Semiconductors for N-type
Go Conductivity of Extrinsic Semiconductors (n-type) = Donor Concentration*[Charge-e]*Mobility of Electron
Conductivity of Extrinsic Semiconductor for P-Type
Go Conductivity of Extrinsic Semiconductors (p-type) = Acceptor Concentration*[Charge-e]*Mobility of Holes
Electron Diffusion Length
Go Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)
Energy Band Gap
Go Energy Band Gap = Energy Band Gap at 0K-(Temperature*Material Specific Constant)
Majority Carrier Concentration in Semiconductor for p-type
Go Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
Majority Carrier Concentration in Semiconductor
Go Majority Carrier Concentration = Intrinsic Carrier Concentration^2/Minority Carrier Concentration
Fermi Level of Intrinsic Semiconductors
Go Fermi Level Intrinsic Semiconductor = (Conduction Band Energy+Valance Band Energy)/2
Drift Current Density
Go Drift Current Density = Holes Current Density+Electron Current Density
Mobility of Charge Carriers
Go Charge Carriers Mobility = Drift Speed/Electric Field Intensity
Saturation Voltage using Threshold Voltage
Go Saturation Voltage = Gate Source Voltage-Threshold Voltage
Electric Field due to Hall Voltage
Go Hall Electric Field = Hall Voltage/Conductor Width

Electron Diffusion Length Formula

Electron Diffusion Length = sqrt(Electron Diffusion Constant*Minority Carrier Lifetime)
Ln = sqrt(Dn*τn)

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 Ln symbol.

How to calculate Electron Diffusion Length using this online calculator? To use this online calculator for Electron Diffusion Length, enter Electron Diffusion Constant (Dn) & Minority Carrier Lifetime 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 Ln = sqrt(Dnn) 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 (Dn) & Minority Carrier Lifetime 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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