Electrons in Metal: Explaining Free Electron Theory

In summary, the electrons in a metal are subjected to a constant potential in accordance with the free electron theory. However, the net potential is periodic due to the 1/r type fields produced by the nuclei. Some of the potential is also being screened by electrons. While a sinusoidal potential can provide qualitative results, more accurate potentials are needed for quantitative results.
  • #1
ranju
223
3
I just wanted to clear one thing... in metals what type of potential the electrons are subjected to..??
Is it constant , sinusoidal , square or non-periodic..?? pleasez explain a bit in accordance with free electron theory.>!
 
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  • #2
In a metal, it's constant throughout the metal for the free electron theory.

See http://www.teknik.uu.se/ftf/education/ftf1/forelasningar/overview/Freelectronmodel.pdf
 
  • #3
It's complicated. The nuclei produce their 1/r type fields, and since they a periodic in a metal, the net field is periodic. Now not all the the electrons necessarily see this periodic 1/r type potential, b/c part of the potential is being screened by electrons. You can get qualitative results by using a sinusoidal potential, but quantitative results require more accurate potentials.
 

FAQ: Electrons in Metal: Explaining Free Electron Theory

What is the free electron theory?

The free electron theory is a scientific concept that explains the behavior of electrons in metals. It states that electrons in a metal are not bound to any particular atom, but instead are free to move throughout the metal lattice.

How do electrons contribute to the properties of metals?

Electrons play a crucial role in determining the properties of metals. Their free movement allows for high electrical and thermal conductivity, as well as malleability and ductility.

What is the difference between a conductive and an insulating material?

A conductive material, such as a metal, allows for the free movement of electrons, while an insulating material does not. This is due to the difference in the electronic structure of the materials.

How does temperature affect the behavior of electrons in metals?

As temperature increases, the movement of electrons also increases, leading to a decrease in electrical conductivity. This is due to collisions between electrons and atoms, which impede their movement.

Can the free electron theory be applied to all metals?

The free electron theory is a simplified model that works well for most metals, but it may not accurately describe the behavior of electrons in all types of metals. Other factors, such as the presence of impurities or crystal structure, can also affect the behavior of electrons in metals.

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