Donor Concentration Formula

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Donor concentration refers to the concentration or density of donor atoms in a semiconductor material. Check FAQs
Nd=|Q|[Charge-e]xpoAj
Nd - Donor Concentration?|Q| - Total Acceptor Charge?xpo - Charge Penetration P-type?Aj - Junction Area?[Charge-e] - Charge of electron?

Donor Concentration Example

With values
With units
Only example

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+35Edit=13Edit1.6E-190.06Edit5401.3Edit
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Donor Concentration Solution

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

FIRST Step Consider the formula
Nd=|Q|[Charge-e]xpoAj
Next Step Substitute values of Variables
Nd=13C[Charge-e]0.06μm5401.3µm²
Next Step Substitute values of Constants
Nd=13C1.6E-19C0.06μm5401.3µm²
Next Step Convert Units
Nd=13C1.6E-19C6E-8m5.4E-9
Next Step Prepare to Evaluate
Nd=131.6E-196E-85.4E-9
Next Step Evaluate
Nd=2.50370647427462E+351/m³
LAST Step Rounding Answer
Nd=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: Nd
Measurement: Carrier ConcentrationUnit: 1/m³
Note: Value should be greater than 0.
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.
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: xpo
Measurement: LengthUnit: μm
Note: Value should be greater than 0.
Junction Area
The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.
Symbol: Aj
Measurement: AreaUnit: µm²
Note: Value should be greater than 0.
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

Credits

Creator Image
Created by Shobhit Dimri LinkedIn Logo
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Formula and 900+ more formulas!
Verifier Image
Verified by Urvi Rathod LinkedIn Logo
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Formula and 1900+ more formulas!

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​Go Series Resistance in P-type
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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 Nd 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 (xpo) & Junction Area (Aj) 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 (xpo) & Junction Area (Aj) 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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