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

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

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

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

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

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

62.5 = \frac{50}{1 - (3 \cdot \frac{20}{300})}

62.5 = \frac{50}{1 - (3 \cdot \frac{20nm}{300nm})}

62.5 = \frac{50}{1 - (3 \cdot \frac{20}{300})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n e = \frac{50}{1 - (3 \cdot \frac{20nm}{300nm})}

Next Step Convert Units

∴

n e = \frac{50}{1 - (3 \cdot \frac{2E-8m}{3E-7m})}

Next Step Prepare to Evaluate

∴

n e = \frac{50}{1 - (3 \cdot \frac{2E-8}{3E-7})}

LAST Step Evaluate

∴

n e = 62.5

Electron Density using Average Electron Density and Spill-out Amplitude 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

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 Electron Density

Go Electron Density using Average Electron Density and Electron diameter

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

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

Go Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

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

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

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

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

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

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

The formula of Electron Density using Average Electron Density and Spill-out Amplitude is expressed as Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). Here is an example- -50 = 50/(1-(3*2E-08/3E-07)).

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

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

What are the other ways to Calculate Electron Density?

Here are the different ways to Calculate Electron Density-

Electron Density=Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3

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

​GoElectron Density using Average Electron Density and Electron diameter Formula

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

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

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

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

Variable Name

GoElectron Density using Average Electron Density and Electron diameter Formula