Conductivity in Semiconductors Calculator

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Semiconductor Characteristics

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Electrostatic Parameters

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✖Electron Density refers to the measure of how many electrons are present in a given amount of the material.ⓘ Electron Density [ρ_e]			+10% -10%
✖Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.ⓘ Mobility of Electron [μ_n]			+10% -10%
✖Holes Density refers to the number of vacant energy states (known as "holes") that can exist in the valence band of a semiconductor material.ⓘ Holes Density [ρ_h]			+10% -10%
✖Mobility of holes is the ability of an hole to move through a metal or semiconductor, in the presence of applied electric field.ⓘ Mobility of Holes [μ_p]			+10% -10%

✖Conductivity is the measure of the ease at which an electric charge or heat can pass through a material. It is the reciprocal of resistivity.ⓘ Conductivity in Semiconductors [σ]

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Formula

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Conductivity in Semiconductors

Formula

`"σ" = ("ρ"_{"e"}*"[Charge-e]"*"μ"_{"n"})+("ρ"_{"h"}*"[Charge-e]"*"μ"_{"p"})`

Example

`"0.868062S/m"=("3.01e10kg/cm³"*"[Charge-e]"*"180m²/V*s")+("100000.345kg/cm³"*"[Charge-e]"*"150m²/V*s")`

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Conductivity in Semiconductors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes)
σ = (ρ_e*[Charge-e]*μ_n)+(ρ_h*[Charge-e]*μ_p)
This formula uses 1 Constants, 5 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

Variables Used

Conductivity - (Measured in Siemens per Meter) - Conductivity is the measure of the ease at which an electric charge or heat can pass through a material. It is the reciprocal of resistivity.
Electron Density - (Measured in Kilogram per Cubic Meter) - Electron Density refers to the measure of how many electrons are present in a given amount of the material.
Mobility of Electron - (Measured in Square Meter per Volt per Second) - Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.
Holes Density - (Measured in Kilogram per Cubic Meter) - Holes Density refers to the number of vacant energy states (known as "holes") that can exist in the valence band of a semiconductor material.
Mobility of Holes - (Measured in Square Meter per Volt per Second) - Mobility of holes is the ability of an hole to move through a metal or semiconductor, in the presence of applied electric field.

STEP 1: Convert Input(s) to Base Unit

Electron Density: 30100000000 Kilogram per Cubic Centimeter --> 3.01E+16 Kilogram per Cubic Meter (Check conversion here)
Mobility of Electron: 180 Square Meter per Volt per Second --> 180 Square Meter per Volt per Second No Conversion Required
Holes Density: 100000.345 Kilogram per Cubic Centimeter --> 100000345000 Kilogram per Cubic Meter (Check conversion here)
Mobility of Holes: 150 Square Meter per Volt per Second --> 150 Square Meter per Volt per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (ρ_e*[Charge-e]*μ_n)+(ρ_h*[Charge-e]*μ_p) --> (3.01E+16*[Charge-e]*180)+(100000345000*[Charge-e]*150)

Evaluating ... ...

σ = 0.868061695989221

STEP 3: Convert Result to Output's Unit

0.868061695989221 Siemens per Meter --> No Conversion Required

FINAL ANSWER

0.868061695989221 ≈ 0.868062 Siemens per Meter <-- Conductivity

(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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< 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

Conductivity in Semiconductors Formula

Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes)
σ = (ρ_e*[Charge-e]*μ_n)+(ρ_h*[Charge-e]*μ_p)

What is conductivity in semiconductors?

Conductivity is directly proportional to mobility. If both donor and acceptor impurities are present in a semiconductor we can say, the total conductivity is due to conductivity of both electrons and holes present in a semiconductor.

How to Calculate Conductivity in Semiconductors?

Conductivity in Semiconductors calculator uses Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes) to calculate the Conductivity, The Conductivity in Semiconductors is defined as the sum of conductivity in n-type and p-type semiconductors. Conductivity is denoted by σ symbol.

How to calculate Conductivity in Semiconductors using this online calculator? To use this online calculator for Conductivity in Semiconductors, enter Electron Density (ρ_e), Mobility of Electron (μ_n), Holes Density (ρ_h) & Mobility of Holes (μ_p) and hit the calculate button. Here is how the Conductivity in Semiconductors calculation can be explained with given input values -> 868059.3 = (3.01E+16*[Charge-e]*180)+(100000345000*[Charge-e]*150).

FAQ

What is Conductivity in Semiconductors?

The Conductivity in Semiconductors is defined as the sum of conductivity in n-type and p-type semiconductors and is represented as σ = (ρ_e*[Charge-e]*μ_n)+(ρ_h*[Charge-e]*μ_p) or Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes). Electron Density refers to the measure of how many electrons are present in a given amount of the material, Mobility of electron is defined as the magnitude of average drift velocity per unit electric field, Holes Density refers to the number of vacant energy states (known as "holes") that can exist in the valence band of a semiconductor material & Mobility of holes is the ability of an hole to move through a metal or semiconductor, in the presence of applied electric field.

How to calculate Conductivity in Semiconductors?

The Conductivity in Semiconductors is defined as the sum of conductivity in n-type and p-type semiconductors is calculated using Conductivity = (Electron Density*[Charge-e]*Mobility of Electron)+(Holes Density*[Charge-e]*Mobility of Holes). To calculate Conductivity in Semiconductors, you need Electron Density (ρ_e), Mobility of Electron (μ_n), Holes Density (ρ_h) & Mobility of Holes (μ_p). With our tool, you need to enter the respective value for Electron Density, Mobility of Electron, Holes Density & Mobility of Holes 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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