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Work Function in MOSFET Formula

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Work Function is the energy required for an electron to move from the Fermi level into free space. Check FAQs

qΦ S = qχ + (E c - E F)

qΦ_S - Work Function?qχ - Vaccum Level?E_c - Conduction Band Energy Level?E_F - Fermi Level?

Work Function in MOSFET Example

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Here is how the Work Function in MOSFET equation looks like with Values.

Here is how the Work Function in MOSFET equation looks like with Units.

Here is how the Work Function in MOSFET equation looks like.

4.6E-19 = 5.1 + (3.01 - 5.24)

4.6E-19V = 5.1eV + (3.01eV - 5.24eV)

4.6E-19 = 5.1 + (3.01 - 5.24)

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Work Function in MOSFET Solution

Follow our step by step solution on how to calculate Work Function in MOSFET?

FIRST Step Consider the formula

qΦ S = qχ + (E c - E F)

Next Step Substitute values of Variables

∴

qΦ S = 5.1eV + (3.01eV - 5.24eV)

Next Step Convert Units

∴

qΦ S = 8.2E-19J + (4.8E-19J - 8.4E-19J)

Next Step Prepare to Evaluate

∴

qΦ S = 8.2E-19 + (4.8E-19 - 8.4E-19)

Next Step Evaluate

∴

qΦ S = 4.59824893710002E-19V

LAST Step Rounding Answer

∴

qΦ S = 4.6E-19V

Work Function in MOSFET Formula Elements

Variables

Work Function

Work Function is the energy required for an electron to move from the Fermi level into free space.

Symbol: qΦ_S

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Work Function

Vaccum Level

Vaccum Level is a theoretical energy level that provides a baseline for understanding energy levels in the semiconductor and metal regions of the MOSFET.

Symbol: qχ

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Vaccum Level

Conduction Band Energy Level

Conduction Band Energy Level is an energy band within the semiconductor material where electrons can move freely and contribute to electrical conduction.

Symbol: E_c

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Conduction Band Energy Level

Fermi Level

Fermi Level represents the energy level at which electrons have a 50% probability of being occupied at absolute zero temperature.

Symbol: E_F

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Fermi Level

Other formulas in MOS Transistor category

Go Zero Bias Sidewall Junction Capacitance per Unit Length

C jsw = C j0sw \cdot x j

Go Equivalent Large Signal Junction Capacitance

C eq(sw) = P \cdot C jsw \cdot K eq(sw)

Go Fermi Potential for P Type

Φ Fp = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{n i}{N A})

Go Sidewall Voltage Equivalence Factor

K eq(sw) = - (2 \cdot \frac{\sqrt{Φ osw}}{V 2 - V 1} \cdot (\sqrt{Φ osw - V 2} - \sqrt{Φ osw - V 1}))

How to Evaluate Work Function in MOSFET?

Work Function in MOSFET evaluator uses Work Function = Vaccum Level+(Conduction Band Energy Level-Fermi Level) to evaluate the Work Function, The Work Function in MOSFET formula is defined as the energy required to move an electron from the Fermi level of the metal gate electrode to the conduction or valence band of the semiconductor. Work Function is denoted by qΦ_S symbol.

How to evaluate Work Function in MOSFET using this online evaluator? To use this online evaluator for Work Function in MOSFET, enter Vaccum Level (qχ), Conduction Band Energy Level (E_c) & Fermi Level (E_F) and hit the calculate button.

FAQs on Work Function in MOSFET

What is the formula to find Work Function in MOSFET?

The formula of Work Function in MOSFET is expressed as Work Function = Vaccum Level+(Conduction Band Energy Level-Fermi Level). Here is an example- 4.6E-19 = 8.17110438300004E-19+(4.82255376330002E-19-8.39540920920004E-19).

How to calculate Work Function in MOSFET?

With Vaccum Level (qχ), Conduction Band Energy Level (E_c) & Fermi Level (E_F) we can find Work Function in MOSFET using the formula - Work Function = Vaccum Level+(Conduction Band Energy Level-Fermi Level).

Can the Work Function in MOSFET be negative?

No, the Work Function in MOSFET, measured in Electric Potential cannot be negative.

Which unit is used to measure Work Function in MOSFET?

Work Function in MOSFET is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Work Function in MOSFET can be measured.

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Work Function in MOSFET Formula

Work Function in MOSFET Example

Work Function in MOSFET Solution

Work Function in MOSFET Formula Elements

Other formulas in MOS Transistor category

How to Evaluate Work Function in MOSFET?

FAQs on Work Function in MOSFET

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