Volume Fraction using Volume of Nanoparticles Calculator

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✖The Number of Nanoparticles is simply the quantity of nanoparticles present at a desired point.ⓘ Number of Nanoparticles [N_np]			+10% -10%
✖The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.ⓘ Volume of Nanoparticle [V_np]			+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 Fraction is the total volume of all the nanoparticles divided by the volume of the material here.ⓘ Volume Fraction using Volume of Nanoparticles [p]

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Formula

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Volume Fraction using Volume of Nanoparticles

Formula

p = \frac{N np \cdot V np}{V}

Example

15 = \frac{20 \cdot 30 nm³}{40 nm³}

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Volume Fraction using Volume of Nanoparticles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material
p = (N_np*V_np)/V
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.
Number of Nanoparticles - The Number of Nanoparticles is simply the quantity of nanoparticles present at a desired point.
Volume of Nanoparticle - (Measured in Cubic Meter) - The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Nanoparticles: 20 --> No Conversion Required
Volume of Nanoparticle: 30 Cubic Nanometer --> 3E-26 Cubic Meter (Check conversion here)
Volume of Material: 40 Cubic Nanometer --> 4E-26 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (N_np*V_np)/V --> (20*3E-26)/4E-26

Evaluating ... ...

p = 15

STEP 3: Convert Result to Output's Unit

15 --> No Conversion Required

FINAL ANSWER

15 <-- Volume Fraction

(Calculation completed in 00.004 seconds)

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national institute of technology meghalaya (NIT Meghalaya), Shillong

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< Optical Properties of Metallic Nanoparticles Calculators

Volume Fraction using Polarization and Dipole Moment of Sphere

Go Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere

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

Volume Fraction using Volume of Nanoparticles Formula

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

What is Nanophotonics?

Nanophotonics or nano-optics is the study of the behavior of light on the nanometer scale, and of the interaction of nanometer-scale objects with light. It is a branch of optics, optical engineering, electrical engineering, and nanotechnology.

How to Calculate Volume Fraction using Volume of Nanoparticles?

Volume Fraction using Volume of Nanoparticles calculator uses Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material to calculate 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 calculate Volume Fraction using Volume of Nanoparticles using this online calculator? To use this online calculator for Volume Fraction using Volume of Nanoparticles, enter Number of Nanoparticles (N_np), Volume of Nanoparticle (V_np) & Volume of Material (V) and hit the calculate button. Here is how the Volume Fraction using Volume of Nanoparticles calculation can be explained with given input values -> 15 = (20*3E-26)/4E-26.

FAQ

What is Volume Fraction using Volume of Nanoparticles?

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 and is represented as p = (N_np*V_np)/V or Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material. The Number of Nanoparticles is simply the quantity of nanoparticles present at a desired point, The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest & The Volume of Material is the multiplying the width of the material by the length and the depth.

How to calculate Volume Fraction using Volume of Nanoparticles?

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 is calculated using Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material. To calculate Volume Fraction using Volume of Nanoparticles, you need Number of Nanoparticles (N_np), Volume of Nanoparticle (V_np) & Volume of Material (V). With our tool, you need to enter the respective value for Number of Nanoparticles, Volume of Nanoparticle & Volume of Material 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 Number of Nanoparticles, Volume of Nanoparticle & Volume of Material. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere

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