The image above represents electron kinetic energy. Two essential parameters are needed to calculate electron kinetic energy: mass (m) and velocity (v).
The formula for calculating electron kinetic energy:
eV = mv²/2
Where:
eV = Electron Kinetic Energy
m = Mass
v = Velocity
Let’s solve an example;
Find the electron kinetic energy when the mass is 12 and velocity is 24.
This implies that;
m = Mass = 12
v = Velocity = 24
eV = mv²/2
eV = (12)(24)²/2
That is, eV = (12)(576)/2
eV =Â (6912)/2
eV = 3456
Therefore, the electron kinetic energy is 3456 J.
Calculating the Mass when the Electron Kinetic Energy and the Velocity are Given
m = eV x 2 / v2
Where;
m = Mass
eV = Electron Kinetic Energy
v = Velocity
Let’s solve an example;
Find the mass when the electron kinetic energy is 12 and the velocity is 4.
This implies that;
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eV = Electron Kinetic Energy = 12
v = Velocity = 4
m = eV x 2 / v2
So, m = 12 x 2 / 42
m = 24 / 16
m = 1.5
Therefore, the mass is 1.5.
Read more:Â How to Calculate and Solve for Resolution X-rays | X-Ray Crystallography
Calculating the Velocity when the Electron Kinetic Energy and the Mass are Given
v = √(eV x 2 / m)
Where;
v = Velocity
eV = Electron Kinetic Energy
m = Mass
Let’s solve an example;
Find the velocity when the electron kinetic energy is 10 and the mass is 8.
This implies that;
eV = Electron Kinetic Energy = 10
m = Mass = 8
v = √(eV x 2 / m)
v = √(10 x 2 / 8)
That is, v = √(20 / 8)
v = √2.5
v = 1.58
Therefore, the velocity is 1.58.
How to Calculate Electron Kinetic Energy | X-Ray Crystallography
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the electron kinetic energy.
To get the answer and workings of the electron kinetic energy 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 for NGN 2,000 per annum 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 Crystallography under Materials and Metallurgical
Now, Click on Electron Kinetic Energy under X-ray Crystallography
The screenshot below displays the page or activity to enter your values, to get the answer for the electron kinetic energy according to the respective parameters which is the Mass (m) and Velocity (v).
Now, enter the value appropriately and accordingly for the parameter as required by the Mass (m) is 12 and Velocity (v) is 24.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the electron kinetic energy and presents the formula, workings and steps too.
