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Acceptor Concentration Formula

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Acceptor concentration is the concentration an acceptor or dopant atom that when substituted into a semiconductor lattice forms a p-type region. Check FAQs

N a = \frac{|Q|}{[Charge-e] \cdot x no \cdot A j}

N_a - Acceptor Concentration?|Q| - Total Acceptor Charge?x_no - Charge Penetration N-type?A_j - Junction Area?[Charge-e] - Charge of electron?

Acceptor Concentration Example

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Here is how the Acceptor Concentration equation looks like with Values.

Here is how the Acceptor Concentration equation looks like with Units.

Here is how the Acceptor Concentration equation looks like.

7.9E+35 = \frac{13}{1.6E-19 \cdot 0.019 \cdot 5401.3}

7.9E+351/m³ = \frac{13C}{1.6E-19C \cdot 0.019μm \cdot 5401.3µm²}

7.9E+35 = \frac{13}{1.6E-19 \cdot 0.019 \cdot 5401.3}

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Acceptor Concentration Solution

Follow our step by step solution on how to calculate Acceptor Concentration?

FIRST Step Consider the formula

N a = \frac{|Q|}{[Charge-e] \cdot x no \cdot A j}

Next Step Substitute values of Variables

∴

N a = \frac{13C}{[Charge-e] \cdot 0.019μm \cdot 5401.3µm²}

Next Step Substitute values of Constants

∴

N a = \frac{13C}{1.6E-19C \cdot 0.019μm \cdot 5401.3µm²}

Next Step Convert Units

∴

N a = \frac{13C}{1.6E-19C \cdot 1.9E-8m \cdot 5.4E-9m²}

Next Step Prepare to Evaluate

∴

N a = \frac{13}{1.6E-19 \cdot 1.9E-8 \cdot 5.4E-9}

Next Step Evaluate

∴

N a = 7.90644149770933E+351/m³

LAST Step Rounding Answer

∴

N a = 7.9E+351/m³

Acceptor Concentration Formula Elements

Variables

Constants

Acceptor Concentration

Acceptor concentration is the concentration an acceptor or dopant atom that when substituted into a semiconductor lattice forms a p-type region.

Symbol: N_a

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Acceptor Concentration

Total Acceptor Charge

Total Acceptor Charge refers to the overall net charge associated with the acceptor atoms in a semiconductor material or device.

Symbol: |Q|

Measurement: Electric ChargeUnit: C

Note: Value should be greater than 0.

Formulas to find Total Acceptor Charge

Charge Penetration N-type

Charge Penetration N-type refers to the phenomenon where additional electrons from dopant atoms, typically phosphorus or arsenic, penetrate the crystal lattice of the semiconductor material.

Symbol: x_no

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Charge Penetration N-type

Junction Area

The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.

Symbol: A_j

Measurement: AreaUnit: µm²

Note: Value should be greater than 0.

Formulas to find Junction Area

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 SSD Junction category

Go N-Type Width

x no = \frac{|Q|}{A j \cdot N a \cdot [Charge-e]}

Go Junction Capacitance

C j = (\frac{A j}{2}) \cdot \sqrt{\frac{2 \cdot [Charge-e] \cdot k \cdot N B}{V - V 1}}

Go Junction Voltage

V j = V - (R se(p) + R se(n)) \cdot I

Go Series Resistance in P-type

R se(p) = (\frac{V - V j}{I}) - R se(n)

How to Evaluate Acceptor Concentration?

Acceptor Concentration evaluator uses Acceptor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Junction Area) to evaluate the Acceptor Concentration, The Acceptor Concentration formula refers to the concentration or abundance of acceptor impurities in a semiconductor material. Acceptors are dopant atoms that have fewer valence electrons than the host semiconductor atoms, resulting in an excess positive charge. Acceptor Concentration is denoted by N_a symbol.

How to evaluate Acceptor Concentration using this online evaluator? To use this online evaluator for Acceptor Concentration, enter Total Acceptor Charge (|Q|), Charge Penetration N-type (x_no) & Junction Area (A_j) and hit the calculate button.

FAQs on Acceptor Concentration

What is the formula to find Acceptor Concentration?

The formula of Acceptor Concentration is expressed as Acceptor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Junction Area). Here is an example- 7.9E+35 = 13/([Charge-e]*1.9E-08*5.4013E-09).

How to calculate Acceptor Concentration?

With Total Acceptor Charge (|Q|), Charge Penetration N-type (x_no) & Junction Area (A_j) we can find Acceptor Concentration using the formula - Acceptor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Junction Area). This formula also uses Charge of electron constant(s).

Can the Acceptor Concentration be negative?

No, the Acceptor Concentration, measured in Carrier Concentration cannot be negative.

Which unit is used to measure Acceptor Concentration?

Acceptor Concentration is usually measured using the 1 per Cubic Meter[1/m³] for Carrier Concentration. 1 per Cubic Centimeter[1/m³], per Liter[1/m³] are the few other units in which Acceptor Concentration can be measured.

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Acceptor Concentration Formula

Acceptor Concentration Example

Acceptor Concentration Solution

Acceptor Concentration Formula Elements

Other formulas in SSD Junction category

How to Evaluate Acceptor Concentration?

FAQs on Acceptor Concentration

Variable Name