Volume Fraction using Polarization and Dipole Moment of Sphere 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 Polarization due to Sphere is the the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.ⓘ Polarization due to Sphere [P_sph]			+10% -10%
✖The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.ⓘ Volume of Nanoparticle [V_np]			+10% -10%
✖The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system.ⓘ Dipole Moment of Sphere [p_s]			+10% -10%

✖The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.ⓘ Volume Fraction using Polarization and Dipole Moment of Sphere [p]

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Formula

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Volume Fraction using Polarization and Dipole Moment of Sphere

Formula

`"p" = "P"_{"sph"}*"V"_{"np"}/"p"_{"s"}`

Example

`"1.5E^-26"="50C/m²"*"30nm³"/"100C*m"`

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Volume Fraction using Polarization and Dipole Moment of Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere
p = P_sph*V_np/p_s
This formula uses 4 Variables

Variables Used

Volume Fraction - The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.
Polarization due to Sphere - (Measured in Coulomb per Square Meter) - The Polarization due to Sphere is the the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.
Volume of Nanoparticle - (Measured in Cubic Meter) - The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.
Dipole Moment of Sphere - (Measured in Coulomb Meter) - The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system.

STEP 1: Convert Input(s) to Base Unit

Polarization due to Sphere: 50 Coulomb per Square Meter --> 50 Coulomb per Square Meter No Conversion Required
Volume of Nanoparticle: 30 Cubic Nanometer --> 3E-26 Cubic Meter (Check conversion here)
Dipole Moment of Sphere: 100 Coulomb Meter --> 100 Coulomb Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = P_sph*V_np/p_s --> 50*3E-26/100

Evaluating ... ...

p = 1.5E-26

STEP 3: Convert Result to Output's Unit

1.5E-26 --> No Conversion Required

FINAL ANSWER

1.5E-26 <-- Volume Fraction

(Calculation completed in 00.004 seconds)

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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

Volume Fraction using Polarization and Dipole Moment of Sphere Formula

Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere
p = P_sph*V_np/p_s

What is Dipole Moment?

The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system. It is defined as the product of the magnitude of the charge, e, and the distance separating the positive and negative charges, l: = el.

How to Calculate Volume Fraction using Polarization and Dipole Moment of Sphere?

Volume Fraction using Polarization and Dipole Moment of Sphere calculator uses Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere to calculate the Volume Fraction, The Volume Fraction using Polarization and Dipole Moment of Sphere formula is defined as the multiplication of polarization due to sphere and volume of nanoparticle, divided by the dipole moment of sphere. Volume Fraction is denoted by p symbol.

How to calculate Volume Fraction using Polarization and Dipole Moment of Sphere using this online calculator? To use this online calculator for Volume Fraction using Polarization and Dipole Moment of Sphere, enter Polarization due to Sphere (P_sph), Volume of Nanoparticle (V_np) & Dipole Moment of Sphere (p_s) and hit the calculate button. Here is how the Volume Fraction using Polarization and Dipole Moment of Sphere calculation can be explained with given input values -> 1.5E-26 = 50*3E-26/100.

FAQ

What is Volume Fraction using Polarization and Dipole Moment of Sphere?

The Volume Fraction using Polarization and Dipole Moment of Sphere formula is defined as the multiplication of polarization due to sphere and volume of nanoparticle, divided by the dipole moment of sphere and is represented as p = P_sph*V_np/p_s or Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere. The Polarization due to Sphere is the the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form, The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest & The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system.

How to calculate Volume Fraction using Polarization and Dipole Moment of Sphere?

The Volume Fraction using Polarization and Dipole Moment of Sphere formula is defined as the multiplication of polarization due to sphere and volume of nanoparticle, divided by the dipole moment of sphere is calculated using Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere. To calculate Volume Fraction using Polarization and Dipole Moment of Sphere, you need Polarization due to Sphere (P_sph), Volume of Nanoparticle (V_np) & Dipole Moment of Sphere (p_s). With our tool, you need to enter the respective value for Polarization due to Sphere, Volume of Nanoparticle & Dipole Moment of Sphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume Fraction?

In this formula, Volume Fraction uses Polarization due to Sphere, Volume of Nanoparticle & Dipole Moment of Sphere. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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