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

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✖The Total polarization of Composite Material is the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.ⓘ Total polarization of Composite Material [P]			+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 [P_sph]			+10% -10%

✖The Polarization due to Metallic Particle is the action or process of affecting radiation and especially light in a metallic particle so that the vibrations of the wave assume a definite form.ⓘ Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere [P_m]

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

Formula

`"P"_{"m"} = "P"-"P"_{"sph"}`

Example

`"450C/m²"="500C/m²"-"50C/m²"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere
P_m = P-P_sph
This formula uses 3 Variables

Variables Used

Polarization due to Metallic Particle - (Measured in Coulomb per Square Meter) - The Polarization due to Metallic Particle is the action or process of affecting radiation and especially light in a metallic particle so that the vibrations of the wave assume a definite form.
Total polarization of Composite Material - (Measured in Coulomb per Square Meter) - The Total polarization of Composite Material is 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 - (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.

STEP 1: Convert Input(s) to Base Unit

Total polarization of Composite Material: 500 Coulomb per Square Meter --> 500 Coulomb per Square Meter No Conversion Required
Polarization due to Sphere: 50 Coulomb per Square Meter --> 50 Coulomb per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = P-P_sph --> 500-50

Evaluating ... ...

P_m = 450

STEP 3: Convert Result to Output's Unit

450 Coulomb per Square Meter --> No Conversion Required

FINAL ANSWER

450 Coulomb per Square Meter <-- Polarization due to Metallic Particle

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

Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere
P_m = P-P_sph

What are surface plasmons?

Surface plasmons are coherent delocalized electron oscillations that exist at the interface between any two materials where the real part of the dielectric function changes sign across the interface.

How to Calculate Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere?

Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere calculator uses Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere to calculate the Polarization due to Metallic Particle, The Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere formula is defined as the distortion, deformation or polarization of an anion when two oppositely charged ions approach each other and can be calculated as the subtraction of polarization due to sphere from the total polarization of composite material. Polarization due to Metallic Particle is denoted by P_m symbol.

How to calculate Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere using this online calculator? To use this online calculator for Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere, enter Total polarization of Composite Material (P) & Polarization due to Sphere (P_sph) and hit the calculate button. Here is how the Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere calculation can be explained with given input values -> 450 = 500-50.

FAQ

What is Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere?

The Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere formula is defined as the distortion, deformation or polarization of an anion when two oppositely charged ions approach each other and can be calculated as the subtraction of polarization due to sphere from the total polarization of composite material and is represented as P_m = P-P_sph or Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere. The Total polarization of Composite Material is the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form & 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.

How to calculate Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere?

The Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere formula is defined as the distortion, deformation or polarization of an anion when two oppositely charged ions approach each other and can be calculated as the subtraction of polarization due to sphere from the total polarization of composite material is calculated using Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere. To calculate Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere, you need Total polarization of Composite Material (P) & Polarization due to Sphere (P_sph). With our tool, you need to enter the respective value for Total polarization of Composite Material & Polarization due to 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 Polarization due to Metallic Particle?

In this formula, Polarization due to Metallic Particle uses Total polarization of Composite Material & Polarization due to Sphere. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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