How to Calculate and Solve for Planar Density | Crystal Structures
Last Updated on January 15, 2023
The image above represents planar density.
To compute for 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 = 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 = N/A
PD = 24/3
PD = 8
Therefore, the planar density is 8 atoms/m².
Calculating the Number of Atoms Centered on the Plane when the Planar Density and the Area of the Plane is 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;
PD = Planar Density = 4
A = Area of the Plane = 10
N = PD x A
N = 4 x 10
N = 40
Therefore, the 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 is 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
L = 70 / 10
L = 7
Therefore, the area of the plane is 7 m².
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the planar density.
To get the answer and workings of the planar density 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 Planar Density under 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 Calculator– The Calculator Encyclopedia solves for the planar density and presents the formula, workings and steps too.