# How to Calculate and Solve for Planar Density | Crystal Structures

The image above represents planar density. To calculate planar density, two essential parameters are needed and these parameters are Number of Atoms Centered on the Plane (N) and Area of the Plane (A).

### The formula for calculating planar density:

PD =Â N/A

Where:

PD = Planar Density
N = Number of Atoms Centered on the Plane
A = Area of the Plane

Given an example;
Find the planar density when the number of atoms centered on the plane is 24 and the area of the plane is 3.

This implies that;

N = Number of Atoms Centered on the Plane = 24
A = Area of the Plane = 3

PD =Â N/A
So, PD = 24/3
PD = 8

Therefore, the planar density is 8 atoms/mÂ².

### Calculating the Number of Atoms Centered on the Plane when the Planar Density and the Area of the Plane are Given

N = PD x A

Where:

N = Number of Atoms Centered on the Plane
PD = Planar Density
A = Area of the Plane

Let’s solve an example;
Find the number of atoms centered on the plane when the planar density is 4 and the area of the plane is 10.

This implies that;

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PD = Planar Density = 4
A = Area of the Plane = 10

N = PD x A
Then, N = 4 x 10
N = 40

Therefore, theÂ number of atoms centered on the plane is 40 atoms.

### Calculating the Area of the Plane when the Planar Density and the Number of Atoms Centered on the Plane are Given

A = N / PD

Where:

A = Area of the Plane
PD = Planar Density
N = Number of Atoms Centered on the Plane

Let’s solve an example;
Find the area of the plane when the planar density is 10 and the number of atoms centered on the plane is 70.

This implies that;

PD = Planar Density = 10
N = Number of Atoms Centered on the Plane = 70

A = N / PD
So, L = 70Â / 10
L = 7

Therefore, theÂ area of the plane is 7 mÂ².

### How to Calculate and Solve for Planar Density With Nickzom Calculator

Nickzom Calculator â€“ The Calculator Encyclopedia is capable of calculating the planar density.

To get the answer and workings of the planar density 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 Planar Density underÂ Crystal Structures

The screenshot below displays the page or activity to enter your value, to get the answer for the planar density according to the respective parameter which is the Number of Atoms Centered on the Plane (N) and Area of the Plane (A).

Now, enter the values appropriately and accordingly for the parameter as required by the Number of Atoms Centered on the Plane (N) is 24 and Area of the Plane (A) is 3.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the planar density and presents the formula, workings and steps too.