Proton Concentration under Unbalanced Condition Solution

STEP 0: Pre-Calculation Summary
Formula Used
Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature))
pc = ni*exp((Ei-Fn)/([BoltZ]*T))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Proton Concentration - (Measured in Electrons per Cubic Meter) - 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.
Intrinsic Electron Concentration - (Measured in Electrons per Cubic Meter) - Intrinsic Electron Concentration is the no. of charge carriers in a semiconductor when it is in thermal equilibrium.
Intrinsic Energy Level of Semiconductor - (Measured in Joule) - Intrinsic Energy Level of Semiconductor refers to the energy level associated with electrons in the absence of any impurities or external influences.
Quasi Fermi Level of Electrons - (Measured in Joule) - 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.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature represents the temperature of the system.
STEP 1: Convert Input(s) to Base Unit
Intrinsic Electron Concentration: 3.6 Electrons per Cubic Meter --> 3.6 Electrons per Cubic Meter No Conversion Required
Intrinsic Energy Level of Semiconductor: 3.78 Electron-Volt --> 6.05623030740003E-19 Joule (Check conversion ​here)
Quasi Fermi Level of Electrons: 3.7 Electron-Volt --> 5.92805612100003E-19 Joule (Check conversion ​here)
Absolute Temperature: 393 Kelvin --> 393 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
pc = ni*exp((Ei-Fn)/([BoltZ]*T)) --> 3.6*exp((6.05623030740003E-19-5.92805612100003E-19)/([BoltZ]*393))
Evaluating ... ...
pc = 38.2131068309601
STEP 3: Convert Result to Output's Unit
38.2131068309601 Electrons per Cubic Meter --> No Conversion Required
FINAL ANSWER
38.2131068309601 38.21311 Electrons per Cubic Meter <-- Proton Concentration
(Calculation completed in 00.004 seconds)

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Proton Concentration under Unbalanced Condition Formula

​LaTeX ​Go
Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature))
pc = ni*exp((Ei-Fn)/([BoltZ]*T))

How does temperature affect electron concentration in semiconductors?

Temperature influences electron concentration via the exponential term. As temperature rises, electron concentration increases due to heightened thermal energy, impacting the quasi-Fermi level and intrinsic energy.

How to Calculate Proton Concentration under Unbalanced Condition?

Proton Concentration under Unbalanced Condition calculator uses Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature)) to calculate 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 pc symbol.

How to calculate Proton Concentration under Unbalanced Condition using this online calculator? To use this online calculator for Proton Concentration under Unbalanced Condition, enter Intrinsic Electron Concentration (ni), Intrinsic Energy Level of Semiconductor (Ei), Quasi Fermi Level of Electrons (Fn) & Absolute Temperature (T) and hit the calculate button. Here is how the Proton Concentration under Unbalanced Condition calculation can be explained with given input values -> 38.21311 = 3.6*exp((6.05623030740003E-19-5.92805612100003E-19)/([BoltZ]*393)).

FAQ

What is Proton Concentration under Unbalanced Condition?
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 and is represented as pc = ni*exp((Ei-Fn)/([BoltZ]*T)) or Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature)). Intrinsic Electron Concentration is the no. of charge carriers in a semiconductor when it is in thermal equilibrium, Intrinsic Energy Level of Semiconductor refers to the energy level associated with electrons in the absence of any impurities or external influences, 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 & Absolute Temperature represents the temperature of the system.
How to calculate Proton Concentration under Unbalanced Condition?
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 is calculated using Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature)). To calculate Proton Concentration under Unbalanced Condition, you need Intrinsic Electron Concentration (ni), Intrinsic Energy Level of Semiconductor (Ei), Quasi Fermi Level of Electrons (Fn) & Absolute Temperature (T). With our tool, you need to enter the respective value for Intrinsic Electron Concentration, Intrinsic Energy Level of Semiconductor, Quasi Fermi Level of Electrons & Absolute Temperature 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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