How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport
Last Updated on September 24, 2021
The image above represents average velocity of electrons at fermi energy.
To compute for 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 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
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.
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
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
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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).
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.
Finally, Click on Calculate
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.