How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport

The image above represents average velocity of electrons at fermi energy. To calculate the average velocity of electrons at fermi energy, two essential parameters are needed and these parameters are Fermi Energy (εf) and Mass of Electron (me).

The formula for calculating the average velocity of electrons at fermi energy:

v’f = (2εf / me)0.5

Where:

v’f = Average Velocity of Electrons at Fermi Energy
εf = Fermi Energy
me = Mass of Electron

Let’s solve an example;
Find the average velocity of electrons at fermi energy when the fermi energy is 22 and the mass of electron is 11.

This implies that;

εf = Fermi Energy = 22
me = Mass of Electron = 11

v’f = (2εf / me)0.5
v’f = (2(22) / 11)0.5
Then, v’f = (44 / 11)0.5
v’f = (4)0.5
v’f = 2

Therefore, the average velocity of electrons at fermi energy is 2m/s.

Read more: How to Calculate and Solve for Speed of Sound throughout Liquid | Energy Transport

How to Calculate the Average Velocity of Electrons at Fermi Energy With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the average velocity of electrons at fermi energy.

To get the answer and workings of the average velocity of electrons at fermi 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

Master Every Calculation Instantly

Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.

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 Energy Transport under Materials and Metallurgical

Now, Click on Average Velocity of Electrons at Fermi Energy under Energy Transport

The screenshot below displays the page or activity to enter your values, to get the answer for the average velocity of electrons at fermi energy according to the respective parameter which is the  Fermi Energy (εf) and Mass of Electron (me).

How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport

Now, enter the values appropriately and accordingly for the parameters as required by the  Fermi Energy (εf) is 22 and Mass of Electron (me) is 11.

How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport

Finally, Click on Calculate

How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the average velocity of electrons at fermi energy and presents the formula, workings and steps too.

Leave a Reply