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Donor Dopant Concentration Formula

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Donor Dopant Concentration is the concentration of donor atoms per unit volume. Check FAQs

N d = \frac{I sat \cdot L t}{[Charge-e] \cdot W t \cdot μ n \cdot C dep}

N_d - Donor Dopant Concentration?I_sat - Saturation Current?L_t - Transistor's Length?W_t - Transistor's Width?μ_n - Electron Mobility?C_dep - Depletion Layer Capacitance?[Charge-e] - Charge of electron?

Donor Dopant Concentration Example

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Here is how the Donor Dopant Concentration equation looks like with Values.

Here is how the Donor Dopant Concentration equation looks like with Units.

Here is how the Donor Dopant Concentration equation looks like.

1.7E+23 = \frac{2.015 \cdot 3.2}{1.6E-19 \cdot 5.5 \cdot 30 \cdot 1.4}

1.7E+23electrons/m³ = \frac{2.015A \cdot 3.2μm}{1.6E-19C \cdot 5.5μm \cdot 30m²/V*s \cdot 1.4μF}

1.7E+23 = \frac{2.015 \cdot 3.2}{1.6E-19 \cdot 5.5 \cdot 30 \cdot 1.4}

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Donor Dopant Concentration Solution

Follow our step by step solution on how to calculate Donor Dopant Concentration?

FIRST Step Consider the formula

N d = \frac{I sat \cdot L t}{[Charge-e] \cdot W t \cdot μ n \cdot C dep}

Next Step Substitute values of Variables

∴

N d = \frac{2.015A \cdot 3.2μm}{[Charge-e] \cdot 5.5μm \cdot 30m²/V*s \cdot 1.4μF}

Next Step Substitute values of Constants

∴

N d = \frac{2.015A \cdot 3.2μm}{1.6E-19C \cdot 5.5μm \cdot 30m²/V*s \cdot 1.4μF}

Next Step Convert Units

∴

N d = \frac{2.015A \cdot 3.2E-6m}{1.6E-19C \cdot 5.5E-6m \cdot 30m²/V*s \cdot 1.4E-6F}

Next Step Prepare to Evaluate

∴

N d = \frac{2.015 \cdot 3.2E-6}{1.6E-19 \cdot 5.5E-6 \cdot 30 \cdot 1.4E-6}

Next Step Evaluate

∴

N d = 1.74221865211214E+23electrons/m³

LAST Step Rounding Answer

∴

N d = 1.7E+23electrons/m³

Donor Dopant Concentration Formula Elements

Variables

Constants

Donor Dopant Concentration

Donor Dopant Concentration is the concentration of donor atoms per unit volume.

Symbol: N_d

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Donor Dopant Concentration

Saturation Current

Saturation Current refers to the maximum current that can flow through the transistor when it is fully turned on.

Symbol: I_sat

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Saturation Current

Transistor's Length

Transistor's Length refers to the length of the channel region in a MOSFET. This dimension plays a crucial role in determining the electrical characteristics and performance of the transistor.

Symbol: L_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Transistor's Length

Transistor's Width

Transistor's Width refers to the width of the channel region in a MOSFET. This dimension plays a crucial role in determining the electrical characteristics and performance of the transistor.

Symbol: W_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Transistor's Width

Electron Mobility

Electron Mobility describes how quickly electrons can move through the material in response to an electric field.

Symbol: μ_n

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Electron Mobility

Depletion Layer Capacitance

Depletion Layer Capacitance per Unit Area is the capacitance of depletion layer per unit area.

Symbol: C_dep

Measurement: CapacitanceUnit: μF

Note: Value can be positive or negative.

Formulas to find Depletion Layer Capacitance

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Other formulas in MOS IC Fabrication category

Go Body Effect in MOSFET

V t = V th + γ \cdot (\sqrt{2 \cdot Φ f + V bs} - \sqrt{2 \cdot Φ f})

Go MOSFET Unity-Gain Frequency

f t = \frac{g m}{C gs + C gd}

Go Drain Current of MOSFET at Saturation Region

I d = \frac{β}{2} \cdot {(V gs - V th)}^{2} \cdot (1 + λ i \cdot V ds)

Go Channel Resistance

R ch = \frac{L t}{W t} \cdot \frac{1}{μ n \cdot Q on}

How to Evaluate Donor Dopant Concentration?

Donor Dopant Concentration evaluator uses Donor Dopant Concentration = (Saturation Current*Transistor's Length)/([Charge-e]*Transistor's Width*Electron Mobility*Depletion Layer Capacitance) to evaluate the Donor Dopant Concentration, The Donor Dopant Concentration formula is defined as the concentration of donor atoms intentionally introduced into a semiconductor material to increase the number of free charge carriers (electrons) available for conduction. Donor Dopant Concentration is denoted by N_d symbol.

How to evaluate Donor Dopant Concentration using this online evaluator? To use this online evaluator for Donor Dopant Concentration, enter Saturation Current (I_sat), Transistor's Length (L_t), Transistor's Width (W_t), Electron Mobility (μ_n) & Depletion Layer Capacitance (C_dep) and hit the calculate button.

FAQs on Donor Dopant Concentration

What is the formula to find Donor Dopant Concentration?

The formula of Donor Dopant Concentration is expressed as Donor Dopant Concentration = (Saturation Current*Transistor's Length)/([Charge-e]*Transistor's Width*Electron Mobility*Depletion Layer Capacitance). Here is an example- 1.7E+23 = (2.015*3.2E-06)/([Charge-e]*5.5E-06*30*1.4E-06).

How to calculate Donor Dopant Concentration?

With Saturation Current (I_sat), Transistor's Length (L_t), Transistor's Width (W_t), Electron Mobility (μ_n) & Depletion Layer Capacitance (C_dep) we can find Donor Dopant Concentration using the formula - Donor Dopant Concentration = (Saturation Current*Transistor's Length)/([Charge-e]*Transistor's Width*Electron Mobility*Depletion Layer Capacitance). This formula also uses Charge of electron constant(s).

Can the Donor Dopant Concentration be negative?

No, the Donor Dopant Concentration, measured in Electron Density cannot be negative.

Which unit is used to measure Donor Dopant Concentration?

Donor Dopant Concentration 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 Donor Dopant Concentration can be measured.

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Donor Dopant Concentration Formula

Donor Dopant Concentration Example

Donor Dopant Concentration Solution

Donor Dopant Concentration Formula Elements

Other formulas in MOS IC Fabrication category

How to Evaluate Donor Dopant Concentration?

FAQs on Donor Dopant Concentration

Variable Name