How to Calculate and Solve for Inter-atomic Spacing | Bragg’s Law
Last Updated on June 9, 2024
The image above represents inter-atomic spacing. To calculate inter-atomic spacing using Bragg’s law, three essential parameters are needed and these parameters are Order of Reflection (n), Wavelength (λ) and Angle of Diffraction (θ).
The formula for calculating inter-atomic spacing using Bragg’s law:
d = nλ/2sinθ
Where:
d = Inter-atomic Spacing
λ = Wavelength
n = Order of Reflection
θ = Angle of Diffraction
Let’s solve an example;
Find the inter-atomic spacing when the wavelength is 12, order of reflection is 4 and the angle of diffraction is 6.
This implies that;
λ = Wavelength = 12
n = Order of Reflection = 4
θ = Angle of Diffraction = 6
d = nλ/2sinθ
d = (12)(4)/2sin(6°)
So, d = 48/2(0.104)
d = 48/0.209
d = 229.6
Therefore, the inter-atomic spacing is 229.6 m.
How to Calculate Inter-atomic Spacing | Bragg’s Law | Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the inter-atomic spacing.
To get the answer and workings of the 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
Then, Click on Bragg’s Law under X-Ray Diffusion
Now, Click on Inter-atomic Spacing under Bragg’s Law
The screenshot below displays the page or activity to enter your values, to get the answer for the inter-atomic spacing according to the respective parameter which is the Order of Reflection (n), Wavelength (λ) and Angle of Diffraction (θ).
Now, enter the values appropriately and accordingly for the parameters as required by the Order of Reflection (n) is 12, Wavelength (λ) is 4 and Angle of Diffraction (θ) is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the inter-atomic spacing and presents the formula, workings and steps too.
