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Electron Concentration under Unbalanced Condition Formula

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Electron Concentration refers to the number of electrons per unit volume in a semiconductor under non-equilibrium conditions. Check FAQs

n e = n i \cdot \exp (\frac{F n - E i}{[BoltZ] \cdot T})

n_e - Electron Concentration?n_i - Intrinsic Electron Concentration?F_n - Quasi Fermi Level of Electrons?E_i - Intrinsic Energy Level of Semiconductor?T - Absolute Temperature?[BoltZ] - Boltzmann constant?

Electron Concentration under Unbalanced Condition Example

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Here is how the Electron Concentration under Unbalanced Condition equation looks like with Values.

Here is how the Electron Concentration under Unbalanced Condition equation looks like with Units.

Here is how the Electron Concentration under Unbalanced Condition equation looks like.

0.3392 = 3.6 \cdot \exp (\frac{3.7 - 3.78}{1.4E-23 \cdot 393})

0.3392electrons/m³ = 3.6electrons/m³ \cdot \exp (\frac{3.7eV - 3.78eV}{1.4E-23J/K \cdot 393K})

0.3392 = 3.6 \cdot \exp (\frac{3.7 - 3.78}{1.4E-23 \cdot 393})

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Electron Concentration under Unbalanced Condition Solution

Follow our step by step solution on how to calculate Electron Concentration under Unbalanced Condition?

FIRST Step Consider the formula

n e = n i \cdot \exp (\frac{F n - E i}{[BoltZ] \cdot T})

Next Step Substitute values of Variables

∴

n e = 3.6electrons/m³ \cdot \exp (\frac{3.7eV - 3.78eV}{[BoltZ] \cdot 393K})

Next Step Substitute values of Constants

∴

n e = 3.6electrons/m³ \cdot \exp (\frac{3.7eV - 3.78eV}{1.4E-23J/K \cdot 393K})

Next Step Convert Units

∴

n e = 3.6electrons/m³ \cdot \exp (\frac{5.9E-19J - 6.1E-19J}{1.4E-23J/K \cdot 393K})

Next Step Prepare to Evaluate

∴

n e = 3.6 \cdot \exp (\frac{5.9E-19 - 6.1E-19}{1.4E-23 \cdot 393})

Next Step Evaluate

∴

n e = 0.33915064947035electrons/m³

LAST Step Rounding Answer

∴

n e = 0.3392electrons/m³

Electron Concentration under Unbalanced Condition Formula Elements

Variables

Constants

Functions

Electron Concentration

Electron Concentration refers to the number of electrons per unit volume in a semiconductor under non-equilibrium conditions.

Symbol: n_e

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Electron Concentration

Intrinsic Electron Concentration

Intrinsic Electron Concentration is the no. of charge carriers in a semiconductor when it is in thermal equilibrium.

Symbol: n_i

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Intrinsic Electron Concentration

Quasi Fermi Level of Electrons

Quasi Fermi Level of Electrons is the effective energy level for electrons in a non-equilibrium condition. It represents the energy up to which electrons are populated.

Symbol: F_n

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Quasi Fermi Level of Electrons

Intrinsic Energy Level of Semiconductor

Intrinsic Energy Level of Semiconductor refers to the energy level associated with electrons in the absence of any impurities or external influences.

Symbol: E_i

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Intrinsic Energy Level of Semiconductor

Absolute Temperature

Absolute Temperature represents the temperature of the system.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Absolute Temperature

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

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Go Current Due to Optically Generated Carrier

i opt = q \cdot A pn \cdot g op \cdot (W + L dif + L p)

How to Evaluate Electron Concentration under Unbalanced Condition?

Electron Concentration under Unbalanced Condition evaluator uses Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature)) to evaluate the Electron Concentration, Electron Concentration under Unbalanced Conditions is used to describe the electron concentration in a semiconductor under non-equilibrium conditions, where the electron distribution deviates from the thermal equilibrium distribution. Electron Concentration is denoted by n_e symbol.

How to evaluate Electron Concentration under Unbalanced Condition using this online evaluator? To use this online evaluator for Electron Concentration under Unbalanced Condition, enter Intrinsic Electron Concentration (n_i), Quasi Fermi Level of Electrons (F_n), Intrinsic Energy Level of Semiconductor (E_i) & Absolute Temperature (T) and hit the calculate button.

FAQs on Electron Concentration under Unbalanced Condition

What is the formula to find Electron Concentration under Unbalanced Condition?

The formula of Electron Concentration under Unbalanced Condition is expressed as Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature)). Here is an example- 0.339151 = 3.6*exp((5.92805612100003E-19-6.05623030740003E-19)/([BoltZ]*393)).

How to calculate Electron Concentration under Unbalanced Condition?

With Intrinsic Electron Concentration (n_i), Quasi Fermi Level of Electrons (F_n), Intrinsic Energy Level of Semiconductor (E_i) & Absolute Temperature (T) we can find Electron Concentration under Unbalanced Condition using the formula - Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature)). This formula also uses Boltzmann constant and Exponential Growth (exp) function(s).

Can the Electron Concentration under Unbalanced Condition be negative?

No, the Electron Concentration under Unbalanced Condition, measured in Electron Density cannot be negative.

Which unit is used to measure Electron Concentration under Unbalanced Condition?

Electron Concentration under Unbalanced Condition is usually measured using the Electrons per Cubic Meter[electrons/m³] for Electron Density. Electrons per Cubic Centimeter[electrons/m³] are the few other units in which Electron Concentration under Unbalanced Condition can be measured.

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Electron Concentration under Unbalanced Condition Formula

Electron Concentration under Unbalanced Condition Example

Electron Concentration under Unbalanced Condition Solution

Electron Concentration under Unbalanced Condition Formula Elements

Other formulas in Devices with Optical Components category

How to Evaluate Electron Concentration under Unbalanced Condition?

FAQs on Electron Concentration under Unbalanced Condition

Variable Name