What is the Fermi energy of metallic potassium at 0K?

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Homework Help Overview

The discussion revolves around calculating the Fermi energy of metallic potassium at absolute zero (0K). The original poster has identified the number of atoms per cubic meter and noted that each atom contributes one electron to the free electron gas.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the variable V in the Fermi energy equation and initially confuses it with voltage. Other participants clarify that V represents volume in the context of the formula.

Discussion Status

Contextual Notes

There is an assumption that each potassium atom contributes one electron, which is central to the discussion of the free electron gas model. The original poster's confusion about the variable V highlights the need for clarity in understanding the formula's components.

joel.martens
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Homework Statement


We must calculate the Fermi energy of metallic potassium at 0K. We have aleady found the number of atoms per m cubed, we are told that each atom contributes one electron to the free electron gas.

Homework Equations



Fermi energy = ((hbar^2)/2m)(((3Pi^2)N)/V)^3/2

The Attempt at a Solution


My problem is that i don't know what V is supposed to be. I thought that since each K gives one electron to become K+, V might be +e, but that gave a nonsensical answer.
 
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Pls help!
 
You don't need to know V, since the formula involves V only in the form N/V, i.e. the number of electrons per unit volume.
 
ooooooooooooooh, V for volume. Thankyou, i was stuck on thinking voltages.
 

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