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Average Electron Density using Electron Density and Electron diameter Formula

GoAverage Electron Density using Nanoparticle Density and Spill-out Amplitude Formula

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The Average Electron Density is the average of total density of electrons present in a bulk material. Check FAQs

n e-avg = \frac{n e \cdot D^{3}}{{D e}^{3}}

n_e-avg - Average Electron Density?n_e - Electron Density?D - Nanoparticle Diameter?D_e - Electron Diameter?

Average Electron Density using Electron Density and Electron diameter Example

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Here is how the Average Electron Density using Electron Density and Electron diameter equation looks like with Values.

Here is how the Average Electron Density using Electron Density and Electron diameter equation looks like with Units.

Here is how the Average Electron Density using Electron Density and Electron diameter equation looks like.

3.1487 = \frac{40 \cdot 300^{3}}{700^{3}}

3.1487 = \frac{40 \cdot {300nm}^{3}}{{700nm}^{3}}

3.1487 = \frac{40 \cdot 300^{3}}{700^{3}}

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Average Electron Density using Electron Density and Electron diameter Solution

Follow our step by step solution on how to calculate Average Electron Density using Electron Density and Electron diameter?

FIRST Step Consider the formula

n e-avg = \frac{n e \cdot D^{3}}{{D e}^{3}}

Next Step Substitute values of Variables

∴

n e-avg = \frac{40 \cdot {300nm}^{3}}{{700nm}^{3}}

Next Step Convert Units

∴

n e-avg = \frac{40 \cdot {3E-7m}^{3}}{{7E-7m}^{3}}

Next Step Prepare to Evaluate

∴

n e-avg = \frac{40 \cdot {3E-7}^{3}}{{7E-7}^{3}}

Next Step Evaluate

∴

n e-avg = 3.14868804664723

LAST Step Rounding Answer

∴

n e-avg = 3.1487

Average Electron Density using Electron Density and Electron diameter Formula Elements

Variables

Average Electron Density

The Average Electron Density is the average of total density of electrons present in a bulk material.

Symbol: n_e-avg

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Average Electron Density

Electron Density

The Electron Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point.

Symbol: n_e

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Electron Density

Nanoparticle Diameter

The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.

Symbol: D

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Nanoparticle Diameter

Electron Diameter

The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary.

Symbol: D_e

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Electron Diameter

Other Formulas to find Average Electron Density

Go Average Electron Density using Nanoparticle Density and Spill-out Amplitude

n e-avg = n e \cdot (1 - (3 \cdot \frac{d so}{D}))

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How to Evaluate Average Electron Density using Electron Density and Electron diameter?

Average Electron Density using Electron Density and Electron diameter evaluator uses Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3 to evaluate the Average Electron Density, The Average Electron Density using Electron Density and Electron diameter formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter. Average Electron Density is denoted by n_e-avg symbol.

How to evaluate Average Electron Density using Electron Density and Electron diameter using this online evaluator? To use this online evaluator for Average Electron Density using Electron Density and Electron diameter, enter Electron Density (n_e), Nanoparticle Diameter (D) & Electron Diameter (D_e) and hit the calculate button.

FAQs on Average Electron Density using Electron Density and Electron diameter

What is the formula to find Average Electron Density using Electron Density and Electron diameter?

The formula of Average Electron Density using Electron Density and Electron diameter is expressed as Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3. Here is an example- 3.148688 = (40*3E-07^3)/7E-07^3.

How to calculate Average Electron Density using Electron Density and Electron diameter?

With Electron Density (n_e), Nanoparticle Diameter (D) & Electron Diameter (D_e) we can find Average Electron Density using Electron Density and Electron diameter using the formula - Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3.

What are the other ways to Calculate Average Electron Density?

Here are the different ways to Calculate Average Electron Density-

Average Electron Density=Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter))

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Average Electron Density using Electron Density and Electron diameter Formula

​GoAverage Electron Density using Nanoparticle Density and Spill-out Amplitude Formula

Average Electron Density using Electron Density and Electron diameter Example

Average Electron Density using Electron Density and Electron diameter Solution

Average Electron Density using Electron Density and Electron diameter Formula Elements

Other Formulas to find Average Electron Density

Other formulas in Optical Properties of Metallic Nanoparticles category

How to Evaluate Average Electron Density using Electron Density and Electron diameter?

FAQs on Average Electron Density using Electron Density and Electron diameter

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GoAverage Electron Density using Nanoparticle Density and Spill-out Amplitude Formula