FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Electrons Diffusion Constant Formula

Fx Copy

LaTeX Copy

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

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

D_n - Electron Diffusion Constant?μ_n - Mobility of Electron?T - Temperature?[BoltZ] - Boltzmann constant?[Charge-e] - Charge of electron?

Electrons Diffusion Constant Example

With values

With units

Only example

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

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

Here is how the Electrons Diffusion Constant equation looks like.

44982.4644 = 180 \cdot (\frac{1.4E-23 \cdot 290}{1.6E-19})

44982.4644cm²/s = 180m²/V*s \cdot (\frac{1.4E-23J/K \cdot 290K}{1.6E-19C})

44982.4644 = 180 \cdot (\frac{1.4E-23 \cdot 290}{1.6E-19})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

EDC » fx Electrons Diffusion Constant

Electrons Diffusion Constant Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D n = 180m²/V*s \cdot (\frac{[BoltZ] \cdot 290K}{[Charge-e]})

Next Step Substitute values of Constants

∴

D n = 180m²/V*s \cdot (\frac{1.4E-23J/K \cdot 290K}{1.6E-19C})

Next Step Prepare to Evaluate

∴

D n = 180 \cdot (\frac{1.4E-23 \cdot 290}{1.6E-19})

Next Step Evaluate

∴

D n = 4.49824643827345m²/s

Next Step Convert to Output's Unit

∴

D n = 44982.4643827345cm²/s

LAST Step Rounding Answer

∴

D n = 44982.4644cm²/s

Electrons Diffusion Constant Formula Elements

Variables

Constants

Electron Diffusion Constant

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

Symbol: D_n

Measurement: DiffusivityUnit: cm²/s

Note: Value can be positive or negative.

Formulas to find Electron Diffusion Constant

Mobility of Electron

Mobility of electron is defined as the magnitude of average drift velocity per unit electric field.

Symbol: μ_n

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Mobility of Electron

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 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

Go Conductivity in Metals

σ = N e \cdot [Charge-e] \cdot μ n

How to Evaluate Electrons Diffusion Constant?

Electrons Diffusion Constant evaluator uses Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e]) to evaluate the Electron Diffusion Constant, Electrons Diffusion Constant formula is based on Einstein's Equation which essentially states that the diffusion constant of electrons is directly proportional to the product of the mobility of electrons 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. Electron Diffusion Constant is denoted by D_n symbol.

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

FAQs on Electrons Diffusion Constant

What is the formula to find Electrons Diffusion Constant?

The formula of Electrons Diffusion Constant is expressed as Electron Diffusion Constant = Mobility of Electron*(([BoltZ]*Temperature)/[Charge-e]). Here is an example- 4.5E+8 = 180*(([BoltZ]*290)/[Charge-e]).

How to calculate Electrons Diffusion Constant?

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

Can the Electrons Diffusion Constant be negative?

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

Which unit is used to measure Electrons Diffusion Constant?

Electrons 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 Electrons Diffusion Constant can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!