Engineering

How to Calculate and Solve for Inter-atomic Spacing | Bragg’s Law

Last Updated on January 16, 2023

The image above represents inter-atomic spacing.

To compute for inter-atomic spacing, 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:

d = /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 = /2sinθ
d = (12)(4)/2sin(6°)
d = 48/2(0.104)
d = 48/0.209
d = 229.6

Therefore, the inter-atomic spacing is 229.6 m.

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

Now, 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.

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