Engineering

How to Calculate and Solve for Order of Reflection | Bragg’s Law

Last Updated on January 14, 2023

The image above represents order of reflection.

To compute for order of reflection, three essential parameters are needed and these parameters are Wavelength (λ), Inter-atomic Spacing (d) and Angle of Diffraction (θ).

The formula for calculating order of reflection:

n = 2dsinθ/λ

Where:

n = Order of Reflection
d = Inter-atomic Spacing
λ = Wavelength
θ = Angle of Diffraction

Given an example;
Find the order of reflection when the inter-atomic spacing is 4, the wavelength is 12 and the angle of diffraction is 6.

This implies that;

d = Inter-atomic Spacing = 4
λ = Wavelength = 12
θ = Angle of Diffraction = 6

n = 2dsinθ/λ
n = 2(4)sin(6°)/12
n = 8(0.104)/12
n = (0.8362)/12
n = 0.069

Therefore, the order of reflection is 0.069.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the order of reflection.

To get the answer and workings of the order of reflection 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 Order of Reflection under Bragg’s Law

The screenshot below displays the page or activity to enter your values, to get the answer for the order of reflection according to the respective parameter which is the Wavelength (λ), Inter-atomic Spacing (d) and Angle of Diffraction (θ).

Now, enter the values appropriately and accordingly for the parameters as required by the Wavelength (λ) is 12, Inter-atomic Spacing (d) 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 order of reflection and presents the formula, workings and steps too.

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