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Mass Fraction of Crystalline Regions Calculator

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Crystallinity in Polymers Important Formulas of Polymers Polymers Spectrometric Characterization of Polymers More >>

✖Area Under Crystalline Peak is the area under the sharp peak produced by scattering from crystalline area in WAXS curve.ⓘ Area Under Crystalline Peak [A_c]			+10% -10%
✖Area Under Amorphous Hump is the area under the broad (hump) peak produced by scattering from amorphous (non-crystalline) area in WAXS curve.ⓘ Area Under Amorphous Hump [A_a]			+10% -10%

✖Mass Fraction of Crystalline Components is the fraction of total mass of that crystalline component from the total mass of specimen present in a polymer.ⓘ Mass Fraction of Crystalline Regions [μ_c]

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Mass Fraction of Crystalline Regions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump)
μ_c = A_c/(A_c+A_a)
This formula uses 3 Variables

Variables Used

Mass Fraction of Crystalline Components - Mass Fraction of Crystalline Components is the fraction of total mass of that crystalline component from the total mass of specimen present in a polymer.
Area Under Crystalline Peak - (Measured in Watt per Square Meter Steradian) - Area Under Crystalline Peak is the area under the sharp peak produced by scattering from crystalline area in WAXS curve.
Area Under Amorphous Hump - (Measured in Watt per Square Meter Steradian) - Area Under Amorphous Hump is the area under the broad (hump) peak produced by scattering from amorphous (non-crystalline) area in WAXS curve.

STEP 1: Convert Input(s) to Base Unit

Area Under Crystalline Peak: 7 Watt per Square Meter Steradian --> 7 Watt per Square Meter Steradian No Conversion Required
Area Under Amorphous Hump: 9 Watt per Square Meter Steradian --> 9 Watt per Square Meter Steradian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_c = A_c/(A_c+A_a) --> 7/(7+9)

Evaluating ... ...

μ_c = 0.4375

STEP 3: Convert Result to Output's Unit

0.4375 --> No Conversion Required

FINAL ANSWER

0.4375 <-- Mass Fraction of Crystalline Components

(Calculation completed in 00.004 seconds)

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< Crystallinity in Polymers Calculators

Mass Fraction of Crystalline Components given Density

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

Total Volume of Specimen

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

Mass Fraction of Crystalline Components

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

Total Mass of Specimen

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

Mass Fraction of Crystalline Regions Formula

LaTeX Go

Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump)
μ_c = A_c/(A_c+A_a)

What is WAXS method?

In X-ray crystallography, wide-angle X-ray scattering (WAXS) or wide-angle X-ray diffraction (WAXD) is the analysis of Bragg peaks scattered to wide angles, which (by Bragg's law) are caused by sub-nanometer-sized structures. It is an X-ray-diffraction method and commonly used to determine a range of information about crystalline materials. The term WAXS is commonly used in polymer sciences to differentiate it from SAXS but many scientists doing "WAXS" would describe the measurements as Bragg/X-ray/powder diffraction or crystallography.

How to Calculate Mass Fraction of Crystalline Regions?

Mass Fraction of Crystalline Regions calculator uses Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump) to calculate the Mass Fraction of Crystalline Components, The Mass Fraction of Crystalline Regions formula is a measure of mass fraction to determine the degree of crystallinity from the relative areas under the crystalline peaks and the amorphous hump. Mass Fraction of Crystalline Components is denoted by μ_c symbol.

How to calculate Mass Fraction of Crystalline Regions using this online calculator? To use this online calculator for Mass Fraction of Crystalline Regions, enter Area Under Crystalline Peak (A_c) & Area Under Amorphous Hump (A_a) and hit the calculate button. Here is how the Mass Fraction of Crystalline Regions calculation can be explained with given input values -> 0.4375 = 7/(7+9).

FAQ

What is Mass Fraction of Crystalline Regions?

The Mass Fraction of Crystalline Regions formula is a measure of mass fraction to determine the degree of crystallinity from the relative areas under the crystalline peaks and the amorphous hump and is represented as μ_c = A_c/(A_c+A_a) or Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump). Area Under Crystalline Peak is the area under the sharp peak produced by scattering from crystalline area in WAXS curve & Area Under Amorphous Hump is the area under the broad (hump) peak produced by scattering from amorphous (non-crystalline) area in WAXS curve.

How to calculate Mass Fraction of Crystalline Regions?

The Mass Fraction of Crystalline Regions formula is a measure of mass fraction to determine the degree of crystallinity from the relative areas under the crystalline peaks and the amorphous hump is calculated using Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump). To calculate Mass Fraction of Crystalline Regions, you need Area Under Crystalline Peak (A_c) & Area Under Amorphous Hump (A_a). With our tool, you need to enter the respective value for Area Under Crystalline Peak & Area Under Amorphous Hump 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 Mass Fraction of Crystalline Components?

In this formula, Mass Fraction of Crystalline Components uses Area Under Crystalline Peak & Area Under Amorphous Hump. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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