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The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here. Check FAQs
p=NnpVnpV
p - Volume Fraction?Nnp - Number of Nanoparticles?Vnp - Volume of Nanoparticle?V - Volume of Material?

Volume Fraction using Volume of Nanoparticles Example

With values
With units
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Here is how the Volume Fraction using Volume of Nanoparticles equation looks like with Values.

Here is how the Volume Fraction using Volume of Nanoparticles equation looks like with Units.

Here is how the Volume Fraction using Volume of Nanoparticles equation looks like.

15Edit=20Edit30Edit40Edit
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Volume Fraction using Volume of Nanoparticles Solution

Follow our step by step solution on how to calculate Volume Fraction using Volume of Nanoparticles?

FIRST Step Consider the formula
p=NnpVnpV
Next Step Substitute values of Variables
p=2030nm³40nm³
Next Step Convert Units
p=203E-264E-26
Next Step Prepare to Evaluate
p=203E-264E-26
LAST Step Evaluate
p=15

Volume Fraction using Volume of Nanoparticles Formula Elements

Variables
Volume Fraction
The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.
Symbol: p
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Number of Nanoparticles
The Number of Nanoparticles is simply the quantity of nanoparticles present at a desired point.
Symbol: Nnp
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Volume of Nanoparticle
The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.
Symbol: Vnp
Measurement: VolumeUnit: nm³
Note: Value should be greater than 0.
Volume of Material
The Volume of Material is the multiplying the width of the material by the length and the depth.
Symbol: V
Measurement: VolumeUnit: nm³
Note: Value should be greater than 0.

Other Formulas to find Volume Fraction

​Go Volume Fraction using Polarization and Dipole Moment of Sphere
p=PsphVnpps

Other formulas in Optical Properties of Metallic Nanoparticles category

​Go Volume of Nanoparticles using Volume Fraction
Vnp=pVNnp
​Go Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle
Nnp=pVVnp
​Go Local field using Incident Field and Polarization
E1=E+(Psph3εmε0)
​Go Incident Field using Local Field and Polarization
E=E1-(Psph3εmε0)

How to Evaluate Volume Fraction using Volume of Nanoparticles?

Volume Fraction using Volume of Nanoparticles evaluator uses Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material to evaluate the Volume Fraction, The Volume Fraction using Volume of Nanoparticles formula is defined as total volume of all the nanoparticles divided by the volume of the material here. Total volume of the nanoparticles is calculated by multiplying number of nanoparticles and volume of nanoparticle. Volume Fraction is denoted by p symbol.

How to evaluate Volume Fraction using Volume of Nanoparticles using this online evaluator? To use this online evaluator for Volume Fraction using Volume of Nanoparticles, enter Number of Nanoparticles (Nnp), Volume of Nanoparticle (Vnp) & Volume of Material (V) and hit the calculate button.

FAQs on Volume Fraction using Volume of Nanoparticles

What is the formula to find Volume Fraction using Volume of Nanoparticles?
The formula of Volume Fraction using Volume of Nanoparticles is expressed as Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material. Here is an example- 15 = (20*3E-26)/4E-26.
How to calculate Volume Fraction using Volume of Nanoparticles?
With Number of Nanoparticles (Nnp), Volume of Nanoparticle (Vnp) & Volume of Material (V) we can find Volume Fraction using Volume of Nanoparticles using the formula - Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material.
What are the other ways to Calculate Volume Fraction?
Here are the different ways to Calculate Volume Fraction-
  • Volume Fraction=Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of SphereOpenImg
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