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Surface Potential Formula

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Surface Potential is a key parameter in evaluating the DC property of thin-film transistors. Check FAQs

Φ s = 2 \cdot V sb \cdot \ln (\frac{N A}{N i})

Φ_s - Surface Potential?V_sb - Source Body Potential Difference?N_A - Acceptor Concentration?N_i - Intrinsic Concentration?

Surface Potential Example

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Here is how the Surface Potential equation looks like with Values.

Here is how the Surface Potential equation looks like with Units.

Here is how the Surface Potential equation looks like.

36.5675 = 2 \cdot 1.36 \cdot \ln (\frac{1E+16}{1.5E+10})

36.5675V = 2 \cdot 1.36V \cdot \ln (\frac{1E+161/cm³}{1.5E+101/cm³})

36.5675 = 2 \cdot 1.36 \cdot \ln (\frac{1E+16}{1.5E+10})

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Surface Potential Solution

Follow our step by step solution on how to calculate Surface Potential?

FIRST Step Consider the formula

Φ s = 2 \cdot V sb \cdot \ln (\frac{N A}{N i})

Next Step Substitute values of Variables

∴

Φ s = 2 \cdot 1.36V \cdot \ln (\frac{1E+161/cm³}{1.5E+101/cm³})

Next Step Convert Units

∴

Φ s = 2 \cdot 1.36V \cdot \ln (\frac{1E+221/m³}{1.5E+161/m³})

Next Step Prepare to Evaluate

∴

Φ s = 2 \cdot 1.36 \cdot \ln (\frac{1E+22}{1.5E+16})

Next Step Evaluate

∴

Φ s = 36.5675358441665V

LAST Step Rounding Answer

∴

Φ s = 36.5675V

Surface Potential Formula Elements

Variables

Functions

Surface Potential

Surface Potential is a key parameter in evaluating the DC property of thin-film transistors.

Symbol: Φ_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Surface Potential

Source Body Potential Difference

Source Body Potential Difference is calculated when an externally applied potential is equal to the sum of voltage drop across the oxide layer and the voltage drop across the semiconductor.

Symbol: V_sb

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Source Body Potential Difference

Acceptor Concentration

Acceptor Concentration refers to the concentration of acceptor dopant atoms in a semiconductor material.

Symbol: N_A

Measurement: Carrier ConcentrationUnit: 1/cm³

Note: Value should be greater than 0.

Formulas to find Acceptor Concentration

Intrinsic Concentration

Intrinsic Concentration refers to the concentration of charge carriers (electrons and holes) in an intrinsic semiconductor at thermal equilibrium.

Symbol: N_i

Measurement: Carrier ConcentrationUnit: 1/cm³

Note: Value should be greater than 0.

Formulas to find Intrinsic Concentration

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in VLSI Material Optimization category

Go Body Effect Coefficient

γ = mod \underset{̲}{u} s (\frac{V t - V t0}{\sqrt{Φ s + (V sb)} - \sqrt{Φ s}})

Go Channel Charge

Q ch = C g \cdot (V gc - V t)

Go Critical Voltage

V x = E x \cdot E ch

Go DIBL Coefficient

η = \frac{V t0 - V t}{V ds}

How to Evaluate Surface Potential?

Surface Potential evaluator uses Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration) to evaluate the Surface Potential, The Surface potential formula is defined as is a key parameter in evaluating the DC property of thin-film transistors. The externally applied potential is equal to the voltage drop across the oxide layer plus the voltage drop across the semiconductor. Surface Potential is denoted by Φ_s symbol.

How to evaluate Surface Potential using this online evaluator? To use this online evaluator for Surface Potential, enter Source Body Potential Difference (V_sb), Acceptor Concentration (N_A) & Intrinsic Concentration (N_i) and hit the calculate button.

FAQs on Surface Potential

What is the formula to find Surface Potential?

The formula of Surface Potential is expressed as Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration). Here is an example- 36.56754 = 2*1.36*ln(1E+22/1.45E+16).

How to calculate Surface Potential?

With Source Body Potential Difference (V_sb), Acceptor Concentration (N_A) & Intrinsic Concentration (N_i) we can find Surface Potential using the formula - Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration). This formula also uses Natural Logarithm (ln) function(s).

Can the Surface Potential be negative?

No, the Surface Potential, measured in Electric Potential cannot be negative.

Which unit is used to measure Surface Potential?

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

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Surface Potential Formula

Surface Potential Example

Surface Potential Solution

Surface Potential Formula Elements

Other formulas in VLSI Material Optimization category

How to Evaluate Surface Potential?

FAQs on Surface Potential

Variable Name