The image above represents unit cell edge length. To calculate unit cell edge length, one essential parameter is needed and this parameter is Radius of an Atom (R).
The formula for calculating unit cell edge length:
a = 2R√(2)
Where:
a = Unit Cell Edge Length, FCC
R = Radius of the Atom
Given an example;
Find the unit cell edge length when the radius of the atom is 12.
This implies that;
R = Radius of the Atom = 12
a = 2R√(2)
a = 2(12)√(2)
So, a = (24)(1.41)
a = 33.94
Therefore, the unit cell edge length is 33.94 m.
Calculating the Radius of the Atom when the Unit Cell Edge Length is Given
R = a / 2√(2)
Where:
R = Radius of the Atom
a = Unit Cell Edge Length, FCC
Let’s solve an example;
Find the radius of the atom when the unit cell edge length is 20.
This implies that;
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a = Unit Cell Edge Length, FCC = 20
R = a / 2√(2)
R = 20 / 2(1.41)
So, R = 20 / 2.82
R = 7.09
Therefore, the radius of the atom is 7.09m.
Read more:Â How to Calculate and Solve for Atomic Packing Factor | Crystal Structures
How to Calculate the Unit Cell Edge Length With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the unit cell edge length.
To get the answer and workings of the unit cell edge length using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Crystal Structures under Materials and Metallurgical
Now, Click on Unit Cell Edge Length under Crystal Structures
The screenshot below displays the page or activity to enter your value, to get the answer for the unit cell edge length according to the respective parameter which is the Radius of an Atom (R).
Now, enter the values appropriately and accordingly for the parameter as required by the Radius of an Atom (R) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the unit cell edge length and presents the formula, workings and steps too.
