How to Calculate and Solve for Wavelength | Bragg’s Law
Last Updated on June 9, 2024
The image above represents wavelength. To calculate wavelength using Bragg’s law, three essential parameters are needed and these parameters are Order of Reflection (n), Inter-atomic Spacing (d) and Angle of Diffraction (θ).
The formula for calculating wavelength using Bragg’s law:
λ = 2dsinθ/n
Where:
λ = Wavelength
n = Order of Reflection
d = Inter-atomic Spacing
θ = Angle of Diffraction
Given an example;
Find the wavelength when the order of reflection is 2, the inter-atomic spacing is 10 and the angle of diffraction is 12.
This implies that;
n = Order of Reflection = 2
d = Inter-atomic Spacing = 10
θ = Angle of Diffraction = 12
λ = 2dsinθ/n
λ = 2(10)sin(12°)/2
So, λ = 20(0.207)/2
λ = (4.158)/2
λ = 2.079
Therefore, the wavelength is 2.079 m.
How to Calculate Wavelength Using Bragg’s Law With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the wavelength.
To get the answer and workings of the wavelength 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 Wavelength under Bragg’s Law
The screenshot below displays the page or activity to enter your values, to get the answer for the wavelength according to the respective parameter which is the Order of Reflection (n), Inter-atomic Spacing (d) and Angle of Diffraction (θ).
Now, enter the values appropriately and accordingly for the parameters as required by the Order of Reflection (n) is 2, Inter-atomic Spacing (d) is 10 and Angle of Diffraction (θ) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the wavelength and presents the formula, workings and steps too.
