Volume Fraction of Crystalline Components given Density Calculator

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Spectrometric Characterization of Polymers

✖Density of Specimen is defined as the ratio of mass of the specimen to its volume present in a polymer.ⓘ Density of Specimen [ρ]			+10% -10%
✖Density of Amorphous Component is defined as the ratio of mass of amorphous component to its volume present in a polymer.ⓘ Density of Amorphous Component [ρ_a]			+10% -10%
✖Density of Crystalline Component is defined as the ratio of mass of crystalline component to its volume present in a polymer.ⓘ Density of Crystalline Component [ρ_c]			+10% -10%

✖Volume Fraction of Crystalline Components is defined as the volume of a crystalline component divided by the volume of all components present in a polymer.ⓘ Volume Fraction of Crystalline Components given Density [ε_c]

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Formula

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Volume Fraction of Crystalline Components given Density

Formula

`"ε"_{"c"} = (("ρ"-"ρ"_{"a"})/("ρ"_{"c"}-"ρ"_{"a"}))`

Example

`"0.473684"=(("0.41g/cm³"-"0.32g/cm³")/("0.51g/cm³"-"0.32g/cm³"))`

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Volume Fraction of Crystalline Components given Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component))
ε_c = ((ρ-ρ_a)/(ρ_c-ρ_a))
This formula uses 4 Variables

Variables Used

Volume Fraction of Crystalline Components - Volume Fraction of Crystalline Components is defined as the volume of a crystalline component divided by the volume of all components present in a polymer.
Density of Specimen - (Measured in Kilogram per Cubic Meter) - Density of Specimen is defined as the ratio of mass of the specimen to its volume present in a polymer.
Density of Amorphous Component - (Measured in Kilogram per Cubic Meter) - Density of Amorphous Component is defined as the ratio of mass of amorphous component to its volume present in a polymer.
Density of Crystalline Component - (Measured in Kilogram per Cubic Meter) - Density of Crystalline Component is defined as the ratio of mass of crystalline component to its volume present in a polymer.

STEP 1: Convert Input(s) to Base Unit

Density of Specimen: 0.41 Gram per Cubic Centimeter --> 410 Kilogram per Cubic Meter (Check conversion here)
Density of Amorphous Component: 0.32 Gram per Cubic Centimeter --> 320 Kilogram per Cubic Meter (Check conversion here)
Density of Crystalline Component: 0.51 Gram per Cubic Centimeter --> 510 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_c = ((ρ-ρ_a)/(ρ_c-ρ_a)) --> ((410-320)/(510-320))

Evaluating ... ...

ε_c = 0.473684210526316

STEP 3: Convert Result to Output's Unit

0.473684210526316 --> No Conversion Required

FINAL ANSWER

0.473684210526316 ≈ 0.473684 <-- Volume Fraction of Crystalline Components

(Calculation completed in 00.004 seconds)

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< 9 Crystallinity in Polymers Calculators

Mass Fraction of Crystalline Components given Specific Volume

Go Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component)

Volume Fraction of Crystalline Components given Density

Go Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component))

Mass Fraction of Crystalline Components given Density

Go Mass Fraction of Crystalline Components = (Density of Crystalline Component*Total Volume of Crystalline Components)/(Density of Specimen*Total Volume of Specimen)

Mass Fraction of Crystalline Regions

Go Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump)

Total Volume of Crystalline Components given Volume Fraction

Go Total Volume of Crystalline Components = Volume Fraction of Crystalline Components*Total Volume of Specimen

Volume Fraction of Crystalline Components

Go Volume Fraction of Crystalline Components = Total Volume of Crystalline Components/Total Volume of Specimen

Total Volume of Specimen

Go Total Volume of Specimen = Total Volume of Crystalline Components+Total Volume of Amorphous Components

Mass Fraction of Crystalline Components

Go Mass Fraction of Crystalline Components = Total Mass of Crystalline Components/Total Mass of Specimen

Total Mass of Specimen

Go Total Mass of Specimen = Total Mass of Crystalline Components+Total Mass of Amorphous Components

Volume Fraction of Crystalline Components given Density Formula

Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component))
ε_c = ((ρ-ρ_a)/(ρ_c-ρ_a))

What is Degree of Crystallinity?

The degree of crystallinity is defined as the fractional amount of polymer that is crystalline and it is either expressed in terms of the mass fraction or the volume fraction. For semi-crystalline polymers, the degree of crystallinity is one of its most important physical parameters since it reflects the sample's morphology and determines various mechanical properties, such as the Young modulus, yield stress as well as impact strength. Differential scanning calorimetry is widely used to determine the amount of crystalline material. It can be used to determine the fractional amount of crystallinity in a polymer sample. Other commonly used methods are X-ray diffraction, density measurements, and infrared spectroscopy.

How to Calculate Volume Fraction of Crystalline Components given Density?

Volume Fraction of Crystalline Components given Density calculator uses Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component)) to calculate the Volume Fraction of Crystalline Components, The Volume Fraction of Crystalline Components given Density formula is defined as the volume of a crystalline component divided by the volume of all components present in a polymer. Volume Fraction of Crystalline Components is denoted by ε_c symbol.

How to calculate Volume Fraction of Crystalline Components given Density using this online calculator? To use this online calculator for Volume Fraction of Crystalline Components given Density, enter Density of Specimen (ρ), Density of Amorphous Component (ρ_a) & Density of Crystalline Component (ρ_c) and hit the calculate button. Here is how the Volume Fraction of Crystalline Components given Density calculation can be explained with given input values -> 0.473684 = ((410-320)/(510-320)).

FAQ

What is Volume Fraction of Crystalline Components given Density?

The Volume Fraction of Crystalline Components given Density formula is defined as the volume of a crystalline component divided by the volume of all components present in a polymer and is represented as ε_c = ((ρ-ρ_a)/(ρ_c-ρ_a)) or Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component)). Density of Specimen is defined as the ratio of mass of the specimen to its volume present in a polymer, Density of Amorphous Component is defined as the ratio of mass of amorphous component to its volume present in a polymer & Density of Crystalline Component is defined as the ratio of mass of crystalline component to its volume present in a polymer.

How to calculate Volume Fraction of Crystalline Components given Density?

The Volume Fraction of Crystalline Components given Density formula is defined as the volume of a crystalline component divided by the volume of all components present in a polymer is calculated using Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component)). To calculate Volume Fraction of Crystalline Components given Density, you need Density of Specimen (ρ), Density of Amorphous Component (ρ_a) & Density of Crystalline Component (ρ_c). With our tool, you need to enter the respective value for Density of Specimen, Density of Amorphous Component & Density of Crystalline Component 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 of Crystalline Components?

In this formula, Volume Fraction of Crystalline Components uses Density of Specimen, Density of Amorphous Component & Density of Crystalline Component. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volume Fraction of Crystalline Components = Total Volume of Crystalline Components/Total Volume of Specimen

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