Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter 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 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 [D]			+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 using Nanoparticle Diameter and Electron Diameter [d_so]

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Formula

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Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter

Formula

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

Example

`"400nm"="700nm"-"300nm"`

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Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Electron Diameter: 700 Nanometer --> 7E-07 Meter (Check conversion here)
Nanoparticle Diameter: 300 Nanometer --> 3E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_so = D_e-D --> 7E-07-3E-07

Evaluating ... ...

d_so = 4E-07

STEP 3: Convert Result to Output's Unit

4E-07 Meter -->400 Nanometer (Check conversion here)

FINAL ANSWER

400 Nanometer <-- Spill Out Amplitude

(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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< 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

Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter Formula

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

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 Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter?

Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter calculator uses Spill Out Amplitude = Electron Diameter-Nanoparticle Diameter to calculate the Spill Out Amplitude, The Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter formula is defined as 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 is denoted by d_so symbol.

How to calculate Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter using this online calculator? To use this online calculator for Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter, enter Electron Diameter (D_e) & Nanoparticle Diameter (D) and hit the calculate button. Here is how the Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter calculation can be explained with given input values -> 4E+11 = 7E-07-3E-07.

FAQ

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

The Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter formula is defined as the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice and is represented as d_so = D_e-D or Spill Out Amplitude = Electron Diameter-Nanoparticle 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 & The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.

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

The Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter formula is defined as the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice is calculated using Spill Out Amplitude = Electron Diameter-Nanoparticle Diameter. To calculate Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter, you need Electron Diameter (D_e) & Nanoparticle Diameter (D). With our tool, you need to enter the respective value for Electron Diameter & Nanoparticle Diameter 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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