Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude Calculator

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Optical Properties of Metallic Nanoparticles

Electronic Structure in Clusters and Nanoparticles

Mechanical and Nanomechanical Properties

Size Effects on Structure and Morphology of Free or Supported Nanoparticles

✖The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary.ⓘ Electron Diameter [D_e]			+10% -10%
✖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.ⓘ Spill Out Amplitude [d_so]			+10% -10%

✖The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.ⓘ Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude [D]

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Formula

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Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude

Formula

`"D" = "D"_{"e"}-"d"_{"so"}`

Example

`"680nm"="700nm"-"20nm"`

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Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude
D = D_e-d_so
This formula uses 3 Variables

Variables Used

Nanoparticle Diameter - (Measured in Meter) - The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.
Electron Diameter - (Measured in Meter) - The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary.
Spill Out Amplitude - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Electron Diameter: 700 Nanometer --> 7E-07 Meter (Check conversion here)
Spill Out Amplitude: 20 Nanometer --> 2E-08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = D_e-d_so --> 7E-07-2E-08

Evaluating ... ...

D = 6.8E-07

STEP 3: Convert Result to Output's Unit

6.8E-07 Meter -->680 Nanometer (Check conversion here)

FINAL ANSWER

680 Nanometer <-- Nanoparticle Diameter

(Calculation completed in 00.004 seconds)

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Created by Abhijit gharphalia

national institute of technology meghalaya (NIT Meghalaya), Shillong

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National University of Judicial Science (NUJS), Kolkata

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< 23 Optical Properties of Metallic Nanoparticles Calculators

Total Polarization of Composite Material using Dielectric Constants and Incident Field

Go Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle)

Total Collision Rate using Intrinsic Electron Collision Frequency

Go Total Collision Rate = Intrinsic Electron Collision Rate+(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres

Intrinsic Electron Collision Frequency using Total Collision Rate

Go Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres

Local field using Incident Field and Polarization

Go Local Field = Incident Field+(Polarization due to Sphere/(3*Real Dielectric Constant*Vacuum Dielectric Constant))

Incident Field using Local Field and Polarization

Go Incident Field = Local Field-(Polarization due to Sphere/(3*Real Dielectric Constant*Vacuum Dielectric Constant))

Polarization due to Sphere using Local field and Incident Field

Go Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant

Polarization Due to Metallic Particle using Dielectric Constants and Incident Field

Go Polarization due to Metallic Particle = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field

Average Electron Density using Nanoparticle Density and Spill-out Amplitude

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

Electron Density using Average Electron Density and Spill-out Amplitude

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

Volume Fraction using Polarization and Dipole Moment of Sphere

Go Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere

Polarization due to Sphere using Dipole moment of Sphere

Go Polarization due to Sphere = Volume Fraction*Dipole Moment of Sphere/Volume of Nanoparticle

Dipole moment of Sphere using Polarization due to Sphere

Go Dipole Moment of Sphere = Polarization due to Sphere*Volume of Nanoparticle/Volume Fraction

Average Electron Density using Electron Density and Electron diameter

Go Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3

Electron Density using Average Electron Density and Electron diameter

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

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

Go Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle

Volume Fraction using Volume of Nanoparticles

Go Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material

Volume of Nanoparticles using Volume Fraction

Go Volume of Nanoparticle = (Volume Fraction*Volume of Material)/Number of Nanoparticles

Total Polarization of Composite Material using Polarization due to Metallic Particle and Sphere

Go Total polarization of Composite Material = Polarization due to Metallic Particle+Polarization due to Sphere

Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere

Go Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere

Polarization Due to Sphere using Polarization Due to Metallic Particle and Total Polarization

Go Polarization due to Sphere = Total polarization of Composite Material-Polarization due to Metallic Particle

Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude

Go Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude

Electron Diameter using Nanoparticle Diameter and Spill-out Amplitude

Go Electron Diameter = Nanoparticle Diameter+Spill Out Amplitude

Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter

Go Spill Out Amplitude = Electron Diameter-Nanoparticle Diameter

Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude Formula

Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude
D = D_e-d_so

What is dispersion in chemistry?

Dispersion in chemistry refers to a mixture where fine particles of one substance are scattered all through another substance.

How to Calculate Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude?

Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude calculator uses Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude to calculate the Nanoparticle Diameter, The Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude formula is defined as any straight line segment that passes through the centre of the nanoparticle and whose endpoints lie on the nanoparticle boundary. Nanoparticle Diameter is denoted by D symbol.

How to calculate Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude using this online calculator? To use this online calculator for Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude, enter Electron Diameter (D_e) & Spill Out Amplitude (d_so) and hit the calculate button. Here is how the Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude calculation can be explained with given input values -> 5E+11 = 7E-07-2E-08.

FAQ

What is Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude?

The Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude formula is defined as any straight line segment that passes through the centre of the nanoparticle and whose endpoints lie on the nanoparticle boundary and is represented as D = D_e-d_so or Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude. The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary & 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.

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

The Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude formula is defined as any straight line segment that passes through the centre of the nanoparticle and whose endpoints lie on the nanoparticle boundary is calculated using Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude. To calculate Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude, you need Electron Diameter (D_e) & Spill Out Amplitude (d_so). With our tool, you need to enter the respective value for Electron Diameter & Spill Out Amplitude and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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