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

GoAverage Electron Density using Electron Density and Electron diameter 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 = n e \cdot (1 - (3 \cdot \frac{d so}{D}))

n_e-avg - Average Electron Density?n_e - Electron Density?d_so - Spill Out Amplitude?D - Nanoparticle Diameter?

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

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Here is how the Average Electron Density using Nanoparticle Density and Spill-out Amplitude equation looks like with Units.

Here is how the Average Electron Density using Nanoparticle Density and Spill-out Amplitude equation looks like.

32 = 40 \cdot (1 - (3 \cdot \frac{20}{300}))

32 = 40 \cdot (1 - (3 \cdot \frac{20nm}{300nm}))

32 = 40 \cdot (1 - (3 \cdot \frac{20}{300}))

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Optical Properties of Metallic Nanoparticles » fx Average Electron Density using Nanoparticle Density and Spill-out Amplitude

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

Follow our step by step solution on how to calculate Average Electron Density using Nanoparticle Density and Spill-out Amplitude?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n e-avg = 40 \cdot (1 - (3 \cdot \frac{20nm}{300nm}))

Next Step Convert Units

∴

n e-avg = 40 \cdot (1 - (3 \cdot \frac{2E-8m}{3E-7m}))

Next Step Prepare to Evaluate

∴

n e-avg = 40 \cdot (1 - (3 \cdot \frac{2E-8}{3E-7}))

LAST Step Evaluate

∴

n e-avg = 32

Average Electron Density using Nanoparticle Density and Spill-out Amplitude 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

Spill Out Amplitude

The Spill Out Amplitude is the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice.

Symbol: d_so

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Spill Out Amplitude

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 Average Electron Density

Go Average Electron Density using Electron Density and Electron diameter

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

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

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How to Evaluate Average Electron Density using Nanoparticle Density and Spill-out Amplitude?

Average Electron Density using Nanoparticle Density and Spill-out Amplitude evaluator uses Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter)) to evaluate the Average Electron Density, The Average Electron Density using Nanoparticle Density and Spill-out Amplitude formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter. Average Electron Density is denoted by n_e-avg symbol.

How to evaluate Average Electron Density using Nanoparticle Density and Spill-out Amplitude using this online evaluator? To use this online evaluator for Average Electron Density using Nanoparticle Density and Spill-out Amplitude, enter Electron Density (n_e), Spill Out Amplitude (d_so) & Nanoparticle Diameter (D) and hit the calculate button.

FAQs on Average Electron Density using Nanoparticle Density and Spill-out Amplitude

What is the formula to find Average Electron Density using Nanoparticle Density and Spill-out Amplitude?

The formula of Average Electron Density using Nanoparticle Density and Spill-out Amplitude is expressed as Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). Here is an example- -40 = 40*(1-(3*2E-08/3E-07)).

How to calculate Average Electron Density using Nanoparticle Density and Spill-out Amplitude?

With Electron Density (n_e), Spill Out Amplitude (d_so) & Nanoparticle Diameter (D) we can find Average Electron Density using Nanoparticle Density and Spill-out Amplitude using the formula - Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter)).

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*Nanoparticle Diameter^3)/Electron Diameter^3

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

​GoAverage Electron Density using Electron Density and Electron diameter Formula

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

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

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

FAQs on Average Electron Density using Nanoparticle Density and Spill-out Amplitude

Variable Name

GoAverage Electron Density using Electron Density and Electron diameter Formula