Polarization due to Sphere using 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 Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.ⓘ Volume Fraction [p]			+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 of Nanoparticle is the particular volume of a single nanoparticle of interest.ⓘ Volume of Nanoparticle [V_np]			+10% -10%

✖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 using Dipole moment of Sphere [P_sph]

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Formula

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Polarization due to Sphere using Dipole moment of Sphere

Formula

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

Example

`"1.7E^29C/m²"="50"*"100C*m"/"30nm³"`

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Polarization due to Sphere using Dipole moment of Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 Fraction - The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.
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.
Volume of Nanoparticle - (Measured in Cubic Meter) - The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

P_sph = 1.66666666666667E+29

STEP 3: Convert Result to Output's Unit

1.66666666666667E+29 Coulomb per Square Meter --> No Conversion Required

FINAL ANSWER

1.66666666666667E+29 ≈ 1.7E+29 Coulomb per Square Meter <-- Polarization due to Sphere

(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

Polarization due to Sphere using Dipole moment of Sphere Formula

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

What is Electromagnetic Wave?

Electromagnetic waves are created when an electric field comes in contact with a magnetic field.The intensity and frequency of the time variation of the electric and magnetic fields determine the intensity of the wave.

How to Calculate Polarization due to Sphere using Dipole moment of Sphere?

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

How to calculate Polarization due to Sphere using Dipole moment of Sphere using this online calculator? To use this online calculator for Polarization due to Sphere using Dipole moment of Sphere, enter Volume Fraction (p), Dipole Moment of Sphere (p_s) & Volume of Nanoparticle (V_np) and hit the calculate button. Here is how the Polarization due to Sphere using Dipole moment of Sphere calculation can be explained with given input values -> 1.7E+29 = 50*100/3E-26.

FAQ

What is Polarization due to Sphere using Dipole moment of Sphere?

The Polarization due to Sphere using Dipole moment of Sphere formula is defined as the product of volume fraction and the dipole moment of sphere divided by the volume of nanoparticle and is represented as P_sph = p*p_s/V_np or Polarization due to Sphere = Volume Fraction*Dipole Moment of Sphere/Volume of Nanoparticle. The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here, The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system & The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.

How to calculate Polarization due to Sphere using Dipole moment of Sphere?

The Polarization due to Sphere using Dipole moment of Sphere formula is defined as the product of volume fraction and the dipole moment of sphere divided by the volume of nanoparticle is calculated using Polarization due to Sphere = Volume Fraction*Dipole Moment of Sphere/Volume of Nanoparticle. To calculate Polarization due to Sphere using Dipole moment of Sphere, you need Volume Fraction (p), Dipole Moment of Sphere (p_s) & Volume of Nanoparticle (V_np). With our tool, you need to enter the respective value for Volume Fraction, Dipole Moment of Sphere & Volume of Nanoparticle 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 Polarization due to Sphere?

In this formula, Polarization due to Sphere uses Volume Fraction, Dipole Moment of Sphere & Volume of Nanoparticle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant
Polarization due to Sphere = Total polarization of Composite Material-Polarization due to Metallic Particle

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