Electron In conduction band at 0K

In summary, electrons in the conduction band of a metal are able to move and orbit the nucleus at 0K due to the tunnel effect, which allows them to occupy adjacent energy levels and share electronic states among all atoms. This is similar to how electrons are shared in chemical bonds.
  • #1
Outrageous
374
0
Electrons in the conduction band of metal will be attracted by the nucleus of atom?
I wonder why there can be electron in the conduction band of metal at 0K .At 0K , all electron should lose its energy as(3/2)kT=0.
Thank you
 
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  • #2
Outrageous said:
Electrons in the conduction band of metal will be attracted by the nucleus of atom?
I wonder why there can be electron in the conduction band of metal at 0K .At 0K , all electron should lose its energy as(3/2)kT=0.
Thank you

No, at 0K all electrons are in their ground-state. This does not mean that they can't move.
You can't use classical physics in this case, electrons at 0K are most definately not classical.
 
  • #3
Usually, you cannot say anything about force of attraction b/w electron and nucleus from the energy diagram. Conduction electron does not mean they are free to go everywhere.

At 0K, fermi function won't allow any electrons to be in conduction band.

PS: Where do you find these outrageous ideas?
 
  • #4
What defines a metal is that it doesn't have a forbidden band between a full valence and an empty conduction band. The shape of its bands means that the Fermi level passes right through one band. So at whatever temperature, you have always mobile charge carriers available in a metal.

Also, only deep orbital electrons are local to one atom. Valence, conduction or metallic electrons (or better, electronic states) are shared among all atoms, even without thermal energy, because of the tunnel effect.

It's just like in any chemical bond, where electrons are shared - by tunnel effect on the part of the bond orbital where the energy is positive.
 
  • #5
f95toli said:
No, at 0K all electrons are in their ground-state. This does not mean that they can't move.
You can't use classical physics in this case, electrons at 0K are most definately not classical.
You mean (3/2)kT is classical? then I have study modern physics only can understand :Why At 0K ,electrons in ground state still can orbit ?

Kholdstare said:
Usually, you cannot say anything about force of attraction b/w electron and nucleus from the energy diagram. Conduction electron does not mean they are free to go everywhere.

At 0K, fermi function won't allow any electrons to be in conduction band.

PS: Where do you find these outrageous ideas?

But at 0K the electron of metal can be in conduction band.
I am sorry if I have asked stupid questions.

Thanks for replying.
 
  • #6
Dont be sorry. You did not ask a stupid question. But people usually don't think this stuffs.

(3/2)kT is energy due to three degrees of freedom of a particle. So, yeah it is classical.
In modern view, (I'm not sure) this view is not used widely.
 
  • #7
Enthalpy said:
Also, only deep orbital electrons are local to one atom. Valence, conduction or metallic electrons (or better, electronic states) are shared among all atoms, even without thermal energy, because of the tunnel effect.

It's just like in any chemical bond, where electrons are shared - by tunnel effect on the part of the bond orbital where the energy is positive.

Thanks
What does"on the part of the bond orbital " mean?
At 0K electron can orbit the nucleus because of tunnel effect?
Want to make sure:Can I say any electrons in conduction band are free from attractive force of nucleus?
 
  • #8
Outrageous said:
Thanks
What does"on the part of the bond orbital " mean?
At 0K electron can orbit the nucleus because of tunnel effect?
Want to make sure:Can I say any electrons in conduction band are free from attractive force of nucleus?

You have to understand orbital hybridization and chemical bonding to understand that in detail. Simply put when a electron is in an energy level and there's little distance to the adjacent energy level, the electron can tunnel through the gap between those two energy levels and occupy the second energy state. But remember that, these two energy levels have same energy and are separated in space and NOT separated in energy as in energy diagram.
 
  • #9
"Two energy levels have same energy and are separated in space " refers to orbital hybridization .
This is the answer for explaining why even without thermal energy ,electrons can still stay as conduction or metallic electrons?

Enthalpy said:
Valence, conduction or metallic electrons (or better, electronic states) are shared among all atoms, even without thermal energy, because of the tunnel effect.

It's just like in any chemical bond, where electrons are shared - by tunnel effect on the part of the bond orbital where the energy is positive.
 

What is an "Electron In conduction band at 0K"?

An "Electron In conduction band at 0K" refers to an electron that has been excited to a higher energy level and is now able to move freely within a material's conduction band at a temperature of absolute zero (0 Kelvin).

What is the importance of studying "Electron In conduction band at 0K"?

Studying "Electron In conduction band at 0K" is important because it helps us understand the behavior of electrons in materials at extremely low temperatures, which is critical for developing advanced technologies such as superconductors and quantum computers.

How does an "Electron In conduction band at 0K" differ from a regular electron?

An "Electron In conduction band at 0K" differs from a regular electron in that it has been excited to a higher energy level, allowing it to move more freely and conduct electricity more easily.

What factors affect the behavior of "Electron In conduction band at 0K"?

The behavior of "Electron In conduction band at 0K" is affected by various factors such as the material's band structure, temperature, and any external electric or magnetic fields.

Can "Electron In conduction band at 0K" exist in all materials?

No, "Electron In conduction band at 0K" can only exist in materials that have a conduction band, such as metals and semiconductors. Insulators, on the other hand, do not have a conduction band and therefore cannot have electrons in this state.

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