How to Calculate and Solve for Distance of Inter-atomic Spacing | X-Ray Diffusion
Last Updated on June 9, 2024
The image above represents distance of inter-atomic spacing. Four essential parameters are needed to calculate the distance of inter-atomic spacing: Unit Cell Edge Length (a), Miller Index (h), Miller Index (k), and Miller Index (l).
The formula for calculating the distance of inter-atomic spacing:
d = a/√(h² + k² + l²)
Where:
d = Inter-atomic Spacing
a = Unit Cell Edge Length
h = Miller Index
k = Miller Index
l = Miller Index
Given an example;
Find the distance of inter-atomic spacing when the unit cell edge length is 4, the miller index is 2, the miller index is 3 and the miller index is 6.
This implies that;
a = Unit Cell Edge Length = 4
h = Miller Index = 2
k = Miller Index = 3
l = Miller Index = 6
d = a/√(h² + k² + l²)
That is, d = 4/√(2² + 3² + 6²)
d = 4/√(4 + 9 + 36)
d = 4/√(49)
So, d = 4/7
d = 0.571
Therefore, the distance of inter-atomic spacing is 0.571 m.
How to Calculate the Distance of Inter-atomic Spacing Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the distance of inter-atomic spacing.
To get the answer and workings of the distance of inter-atomic spacing 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 X-Ray Diffusion under Materials and Metallurgical
Now, Click on Distance of Inter-atomic Spacing under X-Ray Diffusion
The screenshot below displays the page or activity to enter your values, to get the answer for the distance of inter-atomic spacing according to the respective parameter which is the Unit Cell Edge Length (a), Miller Index (h), Miller Index (k) and Miller Index (l).
Now, enter the values appropriately and accordingly for the parameters as required by the Unit Cell Edge Length (a) is 4, Miller Index (h) is 2, Miller Index (k) is 3 and Miller Index (l) is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the distance of inter-atomic spacing and presents the formula, workings and steps too.
