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Proton Concentration under Unbalanced Condition Formula

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Proton Concentration refers to the density or abundance of protons in a given material or devices. Protons are subatomic particles found in the nucleus of an atom. Check FAQs

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

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

Proton Concentration under Unbalanced Condition Example

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

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

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

38.2131 = 3.6 \cdot \exp (\frac{3.78 - 3.7}{1.4E-23 \cdot 393})

38.2131electrons/m³ = 3.6electrons/m³ \cdot \exp (\frac{3.78eV - 3.7eV}{1.4E-23J/K \cdot 393K})

38.2131 = 3.6 \cdot \exp (\frac{3.78 - 3.7}{1.4E-23 \cdot 393})

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Proton Concentration under Unbalanced Condition Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

p c = 38.2131068309601electrons/m³

LAST Step Rounding Answer

∴

p c = 38.2131electrons/m³

Proton Concentration under Unbalanced Condition Formula Elements

Variables

Constants

Functions

Proton Concentration

Proton Concentration refers to the density or abundance of protons in a given material or devices. Protons are subatomic particles found in the nucleus of an atom.

Symbol: p_c

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Proton 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

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

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

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)

Other formulas in Photonics Devices category

Go Optical Power Radiated

P opt = ε opto \cdot [Stefan-BoltZ] \cdot A s \cdot {T o}^{4}

Go Net Phase Shift

ΔΦ = \frac{π}{λ o} \cdot {(n ri)}^{3} \cdot r \cdot V cc

Go Length of Cavity

L c = \frac{λ \cdot m}{2}

Go Mode Number

m = \frac{2 \cdot L c \cdot n ri}{λ}

How to Evaluate Proton Concentration under Unbalanced Condition?

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

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

FAQs on Proton Concentration under Unbalanced Condition

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

The formula of Proton Concentration under Unbalanced Condition is expressed as Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature)). Here is an example- 38.21311 = 3.6*exp((6.05623030740003E-19-5.92805612100003E-19)/([BoltZ]*393)).

How to calculate Proton Concentration under Unbalanced Condition?

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

Can the Proton Concentration under Unbalanced Condition be negative?

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

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

Proton 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 Proton Concentration under Unbalanced Condition can be measured.

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Proton Concentration under Unbalanced Condition Formula

Proton Concentration under Unbalanced Condition Example

Proton Concentration under Unbalanced Condition Solution

Proton Concentration under Unbalanced Condition Formula Elements

Other formulas in Photonics Devices category

How to Evaluate Proton Concentration under Unbalanced Condition?

FAQs on Proton Concentration under Unbalanced Condition

Variable Name