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

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 = 2Râˆš(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 = 2Râˆš(2)
a = 2(12)âˆš(2)
So, a = (24)(1.41)
a = 33.94

Therefore, theÂ unit cell edge lengthÂ isÂ 33.94 m.

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

R = a / 2âˆš(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 / 2âˆš(2)
R = 20 / 2(1.41)
So, R = 20 / 2.82
R = 7.09

Therefore, theÂ radius of the atomÂ isÂ 7.09m.

### How to Calculate the Unit Cell Edge Length With Nickzom Calculator

Nickzom Calculator â€“ 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 â€“ The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

To get access to theÂ professionalÂ version via web, you need toÂ registerÂ andÂ subscribeÂ to have utter access to all functionalities.
You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Android (Paid)Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free)Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ Crystal StructuresÂ underÂ Materials and Metallurgical

Now, Click onÂ Unit Cell Edge Length underÂ 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 Calculatorâ€“ The Calculator Encyclopedia solves for the unit cell edge length and presents the formula, workings and steps too.