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Donor Concentration Formula

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Donor concentration refers to the concentration or density of donor atoms in a semiconductor material. Check FAQs

N d = \frac{|Q|}{[Charge-e] \cdot x po \cdot A j}

N_d - Donor Concentration?|Q| - Total Acceptor Charge?x_po - Charge Penetration P-type?A_j - Junction Area?[Charge-e] - Charge of electron?

Donor Concentration Example

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

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

Here is how the Donor Concentration equation looks like.

2.5E+35 = \frac{13}{1.6E-19 \cdot 0.06 \cdot 5401.3}

2.5E+351/m³ = \frac{13C}{1.6E-19C \cdot 0.06μm \cdot 5401.3µm²}

2.5E+35 = \frac{13}{1.6E-19 \cdot 0.06 \cdot 5401.3}

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Donor Concentration Solution

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

FIRST Step Consider the formula

N d = \frac{|Q|}{[Charge-e] \cdot x po \cdot A j}

Next Step Substitute values of Variables

∴

N d = \frac{13C}{[Charge-e] \cdot 0.06μm \cdot 5401.3µm²}

Next Step Substitute values of Constants

∴

N d = \frac{13C}{1.6E-19C \cdot 0.06μm \cdot 5401.3µm²}

Next Step Convert Units

∴

N d = \frac{13C}{1.6E-19C \cdot 6E-8m \cdot 5.4E-9m²}

Next Step Prepare to Evaluate

∴

N d = \frac{13}{1.6E-19 \cdot 6E-8 \cdot 5.4E-9}

Next Step Evaluate

∴

N d = 2.50370647427462E+351/m³

LAST Step Rounding Answer

∴

N d = 2.5E+351/m³

Donor Concentration Formula Elements

Variables

Constants

Donor Concentration

Donor concentration refers to the concentration or density of donor atoms in a semiconductor material.

Symbol: N_d

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Donor 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 P-type

Charge Penetration P-type refers to the phenomenon where dopant atoms, such as boron or gallium, introduce holes into the crystal lattice of the semiconductor material, typically silicon or germanium.

Symbol: x_po

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Charge Penetration P-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 Donor Concentration?

Donor Concentration evaluator uses Donor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration P-type*Junction Area) to evaluate the Donor Concentration, The Donor Concentration formula is defined as these concentrations can be changed by many orders of magnitude by doping, which means adding to a semiconductor impurity atoms that can “donate” electrons to the conduction band. Donor Concentration is denoted by N_d symbol.

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

FAQs on Donor Concentration

What is the formula to find Donor Concentration?

The formula of Donor Concentration is expressed as Donor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration P-type*Junction Area). Here is an example- 2.5E+35 = 13/([Charge-e]*6E-08*5.4013E-09).

How to calculate Donor Concentration?

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

Can the Donor Concentration be negative?

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

Which unit is used to measure Donor Concentration?

Donor 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 Donor Concentration can be measured.

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Donor Concentration Formula

Donor Concentration Example

Donor Concentration Solution

Donor Concentration Formula Elements

Other formulas in SSD Junction category

How to Evaluate Donor Concentration?

FAQs on Donor Concentration

Variable Name