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Holes Diffusion Constant Formula

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Holes Diffusion Constant refers to a material property that describes the rate at which holes diffuse through the material in response to a concentration gradient. Check FAQs

D p = μ p \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

D_p - Holes Diffusion Constant?μ_p - Mobility of Holes?T - Temperature?[BoltZ] - Boltzmann constant?[Charge-e] - Charge of electron?

Holes Diffusion Constant Example

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Here is how the Holes Diffusion Constant equation looks like with Values.

Here is how the Holes Diffusion Constant equation looks like with Units.

Here is how the Holes Diffusion Constant equation looks like.

37485.387 = 150 \cdot (\frac{1.4E-23 \cdot 290}{1.6E-19})

37485.387cm²/s = 150m²/V*s \cdot (\frac{1.4E-23J/K \cdot 290K}{1.6E-19C})

37485.387 = 150 \cdot (\frac{1.4E-23 \cdot 290}{1.6E-19})

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Holes Diffusion Constant Solution

Follow our step by step solution on how to calculate Holes Diffusion Constant?

FIRST Step Consider the formula

D p = μ p \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

Next Step Substitute values of Variables

∴

D p = 150m²/V*s \cdot (\frac{[BoltZ] \cdot 290K}{[Charge-e]})

Next Step Substitute values of Constants

∴

D p = 150m²/V*s \cdot (\frac{1.4E-23J/K \cdot 290K}{1.6E-19C})

Next Step Prepare to Evaluate

∴

D p = 150 \cdot (\frac{1.4E-23 \cdot 290}{1.6E-19})

Next Step Evaluate

∴

D p = 3.74853869856121m²/s

Next Step Convert to Output's Unit

∴

D p = 37485.3869856121cm²/s

LAST Step Rounding Answer

∴

D p = 37485.387cm²/s

Holes Diffusion Constant Formula Elements

Variables

Constants

Holes Diffusion Constant

Holes Diffusion Constant refers to a material property that describes the rate at which holes diffuse through the material in response to a concentration gradient.

Symbol: D_p

Measurement: DiffusivityUnit: cm²/s

Note: Value can be positive or negative.

Formulas to find Holes Diffusion Constant

Mobility of Holes

Mobility of holes is the ability of an hole to move through a metal or semiconductor, in the presence of applied electric field.

Symbol: μ_p

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Mobility of Holes

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

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 Charge Carrier Characteristics category

Go Electrons Diffusion Constant

D n = μ n \cdot (\frac{[BoltZ] \cdot T}{[Charge-e]})

Go Hole Diffusion Length

L p = \sqrt{D p \cdot τ p}

Go Current Density due to Electrons

J n = [Charge-e] \cdot N e \cdot μ n \cdot E I

Go Current Density due to Holes

J p = [Charge-e] \cdot N p \cdot μ p \cdot E I

How to Evaluate Holes Diffusion Constant?

Holes Diffusion Constant evaluator uses Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e]) to evaluate the Holes Diffusion Constant, Holes Diffusion Constant formula is based on Einstein's Equation which essentially states that the diffusion constant of holes is directly proportional to the product of the mobility of holes and the thermal voltage (kT/q). In simpler terms, it links how quickly particles diffuse through a medium with their ability to move in response to an electric field and the thermal energy present in the system. Holes Diffusion Constant is denoted by D_p symbol.

How to evaluate Holes Diffusion Constant using this online evaluator? To use this online evaluator for Holes Diffusion Constant, enter Mobility of Holes (μ_p) & Temperature (T) and hit the calculate button.

FAQs on Holes Diffusion Constant

What is the formula to find Holes Diffusion Constant?

The formula of Holes Diffusion Constant is expressed as Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e]). Here is an example- 3.7E+8 = 150*(([BoltZ]*290)/[Charge-e]).

How to calculate Holes Diffusion Constant?

With Mobility of Holes (μ_p) & Temperature (T) we can find Holes Diffusion Constant using the formula - Holes Diffusion Constant = Mobility of Holes*(([BoltZ]*Temperature)/[Charge-e]). This formula also uses Boltzmann constant, Charge of electron constant(s).

Can the Holes Diffusion Constant be negative?

Yes, the Holes Diffusion Constant, measured in Diffusivity can be negative.

Which unit is used to measure Holes Diffusion Constant?

Holes Diffusion Constant is usually measured using the Square Centimeter Per Second[cm²/s] for Diffusivity. Square Meter Per Second[cm²/s], Square Millimeter per Second[cm²/s] are the few other units in which Holes Diffusion Constant can be measured.

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