How to Calculate and Solve for Litt’s Fraction of Unoccupied Volume | Polymer Deformation
Last Updated on December 11, 2021
The image above represents litt’s fraction of unoccupied volume.
To compute for litt’s fraction of unoccupied volume, two essential parameter are needed and these parameters are Density of Amorphous (da) and Density of Crystalline (dc).
The formula for calculating litt’s fraction of unoccupied volume:
ζ = 1 – (da/dc)
Where:
ζ = Litt’s Fraction of Unoccupied Volume (d)
da = Density of Amorphous
dc = Density of Crystalline
Let’s solve an example;
Find the litt’s fraction of unoccupied volume when the density of amorphous is 24 and the density of crystalline is 8.
This implies that;
da = Density of Amorphous = 24
dc = Density of Crystalline = 8
ζ = 1 – (da/dc)
ζ = 1 – (24/8)
ζ = 1 – (3)
ζ = -2
Therefore, the litt’s fraction of unoccupied volume is -2.
Calculating the Density of Amorphous when the Litt’s Fraction of Unoccupied Volume and Density of Crystalline is Given.
da = dc (ζ + 1)
Where:
da = Density of Amorphous
ζ = Litt’s Fraction of Unoccupied Volume (d)
dc = Density of Crystalline
Let’s solve an example;
Given that litt’s fraction of unoccupied volume is 10 and the density of crystalline is 5. Find the density of amorphous?
This implies that;
ζ = Litt’s Fraction of Unoccupied Volume = 10
dc = Density of Crystalline = 5
da = dc (ζ + 1)
da = 5 (10 + 1)
da = 5 (11)
da = 55
Therefore, the density of amorphous is 55.
Calculating the Density of Crystalline when the Litt’s Fraction of Unoccupied Volume and the Density of Amorphous is Given.
dc = da / ζ + 1
Where:
dc = Density of Crystalline
ζ = Litt’s Fraction of Unoccupied Volume (d)
da = Density of Amorphous
Let’s solve an example;
Find the density of crystalline when the litt’s fraction of unoccupied volme is 11 and the density of amorphous is 48.
This implies that;
ζ = Litt’s Fraction of Unoccupied Volume (d) = 11
da = Density of Amorphous = 48
dc = da / ζ + 1
dc = 48 / 11 + 1
dc = 48 / 12
dc = 4
Therefore, the density of crystalline is 4.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the litt’s fraction of unoccupied volume.
To get the answer and workings of the litt’s fraction of unoccupied volume using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Polymer Deformation under Materials and Metallurgical
Now, Click on Litt’s Fraction of Unoccupied Volume under Polymer Deformation
The screenshot below displays the page or activity to enter your values, to get the answer for the litt’s fraction of unoccupied volume according to the respective parameter which is the Density of Amorphous (da) and Density of Crystalline (dc).
Now, enter the values appropriately and accordingly for the parameters as required by the Density of Amorphous (da) is 24 and Density of Crystalline (dc) is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the litt’s fraction of unoccupied volume and presents the formula, workings and steps too.