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Electron Density using Average Electron Density and Electron diameter Formula

GoElectron Density using Average Electron Density and Spill-out Amplitude Formula

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

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

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

Electron Density using Average Electron Density and Electron diameter Example

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

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

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

635.1852 = 50 \cdot \frac{700^{3}}{300^{3}}

635.1852 = 50 \cdot \frac{{700nm}^{3}}{{300nm}^{3}}

635.1852 = 50 \cdot \frac{700^{3}}{300^{3}}

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Optical Properties of Metallic Nanoparticles » fx Electron Density using Average Electron Density and Electron diameter

Electron Density using Average Electron Density and Electron diameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n e = 50 \cdot \frac{{700nm}^{3}}{{300nm}^{3}}

Next Step Convert Units

∴

n e = 50 \cdot \frac{{7E-7m}^{3}}{{3E-7m}^{3}}

Next Step Prepare to Evaluate

∴

n e = 50 \cdot \frac{{7E-7}^{3}}{{3E-7}^{3}}

Next Step Evaluate

∴

n e = 635.185185185185

LAST Step Rounding Answer

∴

n e = 635.1852

Electron Density using Average Electron Density and Electron diameter Formula Elements

Variables

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

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 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

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

Other Formulas to find Electron Density

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

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

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V np = \frac{p \cdot V}{N np}

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

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

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

FAQs on Electron Density using Average Electron Density and Electron diameter

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

The formula of Electron Density using Average Electron Density and Electron diameter is expressed as Electron Density = Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3. Here is an example- 635.1852 = 50*7E-07^3/3E-07^3.

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

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

What are the other ways to Calculate Electron Density?

Here are the different ways to Calculate Electron Density-

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

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Electron Density using Average Electron Density and Electron diameter Formula

​GoElectron Density using Average Electron Density and Spill-out Amplitude Formula

Electron Density using Average Electron Density and Electron diameter Example

Electron Density using Average Electron Density and Electron diameter Solution

Electron Density using Average Electron Density and Electron diameter Formula Elements

Other Formulas to find Electron Density

Other formulas in Optical Properties of Metallic Nanoparticles category

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

FAQs on Electron Density using Average Electron Density and Electron diameter

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GoElectron Density using Average Electron Density and Spill-out Amplitude Formula