Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle 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 Volume of Material is the multiplying the width of the material by the length and the depth.ⓘ Volume of Material [V]			+10% -10%
✖The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.ⓘ Volume of Nanoparticle [V_np]			+10% -10%

✖The Number of Nanoparticles is simply the quantity of nanoparticles present at a desired point.ⓘ Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle [N_np]

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Formula

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Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

Formula

`"N"_{"np"} = ("p"*"V")/"V"_{"np"}`

Example

`"66.66667"=("50"*"40nm³")/"30nm³"`

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Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle
N_np = (p*V)/V_np
This formula uses 4 Variables

Variables Used

Number of Nanoparticles - The Number of Nanoparticles is simply the quantity of nanoparticles present at a desired point.
Volume Fraction - The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.
Volume of Material - (Measured in Cubic Meter) - The Volume of Material is the multiplying the width of the material by the length and the depth.
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
Volume of Material: 40 Cubic Nanometer --> 4E-26 Cubic Meter (Check conversion here)
Volume of Nanoparticle: 30 Cubic Nanometer --> 3E-26 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_np = (p*V)/V_np --> (50*4E-26)/3E-26

Evaluating ... ...

N_np = 66.6666666666667

STEP 3: Convert Result to Output's Unit

66.6666666666667 --> No Conversion Required

FINAL ANSWER

66.6666666666667 ≈ 66.66667 <-- Number of Nanoparticles

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Nanomaterials and Nanochemistry » Optical Properties of Metallic Nanoparticles » Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

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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

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle Formula

Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle
N_np = (p*V)/V_np

What is Optical Activity?

Optical activity refers to the ability of a chiral molecule to rotate the plane of polarization of a beam of light that is passed through it.

How to Calculate Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle?

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle calculator uses Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle to calculate the Number of Nanoparticles, The Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle formula is defined as the product of volume fraction and volume of material divided by the volume of nanoparticle. Number of Nanoparticles is denoted by N_np symbol.

How to calculate Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle using this online calculator? To use this online calculator for Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle, enter Volume Fraction (p), Volume of Material (V) & Volume of Nanoparticle (V_np) and hit the calculate button. Here is how the Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle calculation can be explained with given input values -> 66.66667 = (50*4E-26)/3E-26.

FAQ

What is Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle?

The Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle formula is defined as the product of volume fraction and volume of material divided by the volume of nanoparticle and is represented as N_np = (p*V)/V_np or Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle. The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here, The Volume of Material is the multiplying the width of the material by the length and the depth & The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.

How to calculate Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle?

The Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle formula is defined as the product of volume fraction and volume of material divided by the volume of nanoparticle is calculated using Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle. To calculate Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle, you need Volume Fraction (p), Volume of Material (V) & Volume of Nanoparticle (V_np). With our tool, you need to enter the respective value for Volume Fraction, Volume of Material & Volume of Nanoparticle 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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