How to Calculate and Solve for Electron Kinetic Energy | X-Ray Crystallography

The image above represents electron kinetic energy.

To compute for electron kinetic energy, two essential parameters are needed and these parameters are 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
eV = (12)(576)/2
eV = (6912)/2
eV = 3456

Therefore, the electron kinetic energy is 3456 J.

Calculating the Mass when the Electron Kinetic Energy and the Velocity is 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;

eV = Electron Kinetic Energy = 12
v = Velocity = 4

m = eV x 2 / v2
m = 12 x 2 / 42
m = 24 / 16
m = 1.5

Therefore, the mass is 1.5.

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