Engineering

How to Calculate and Solve for Unit Cell Edge Length | Crystal Structures

Last Updated on January 15, 2023

The image above represents unit cell edge length.

To compute for 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 = 4R/√(3)

Where:

a = Unit Cell Edge Length, BCC
R = Radius of the atom

Given an example;
Find the unit cell edge length when the radius of the atom is 6.

This implies that;

R = Radius of the atom = 6

a = 4R/√(3)
a = 4(6)/√(3)
a = 24/1.73
a = 13.85

Therefore, the unit cell edge length is 13.85 m.

Calculating the Radius of an Atom when the Unit Cell Edge Length is Given.

R = a x √(3) / 4

Where:

R = Radius of the atom
a = Unit Cell Edge Length, BCC

Let’s solve an example;
Given that, the unit cell edge length is 20. Find the radius of the atom?

This implies that;

a = Unit Cell Edge Length, BCC = 20

R = a x √(3) / 4
R = 20 x 1.73 / 4
R = 34.6 / 4
R = 8.65

Therefore, the radius of an atom is 8.65 m.

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 | BCC 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 6.

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.

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