Energy of Electron: Jumping to Higher States

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SUMMARY

The discussion centers on the behavior of an electron on equipotential surfaces V1, V2, and V3, where V1 > V2 > V3. An electron with kinetic energy (K.E.) greater than e(V1-V2) can potentially jump to the higher surface but will experience decreased kinetic energy. The relationship between kinetic energy and potential energy (PE) is governed by the law KE + PE = constant, highlighting their interdependence. The concept of kinetic energy of a hole in the valence band was also raised, although it remains unexplored in this discussion.

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  • Understanding of equipotential surfaces in electromagnetism
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  • Familiarity with the concept of energy bands in solid-state physics
  • Basic principles of centripetal acceleration and forces
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ajith.mk91
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Suppose we have 3 equipotential surfaces V1 V2 & V3(V1>V2>V3) and an electron residing in second surface and roaming freely with kinetic energy say K.E. Now if our K.E is greater than e(V1-V2) will the electron jump to the top surface with decreased kinetic energy? On the other hand will it jump to the lower state?If none of the above happens how will an electron jump to higher states if we provide external energy(as in the case of energy bands)?
 
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welcome to pf!

hi ajith.mk91! welcome to pf! :smile:
ajith.mk91 said:
Suppose we have 3 equipotential surfaces V1 V2 & V3(V1>V2>V3) and an electron residing in second surface and roaming freely with kinetic energy say K.E. Now if our K.E is greater than …

it can't have any KE …

compare it with a body orbiting the Earth at a particular radius …

to do so it must have a particular speed (and KE) …

it stays on that equipotential surface not because the potential is constant, but because its gradient exactly matches its KE

same for an electron in an electromagnetic field :wink:
 
Do you mean to say that both PE and KE are interrelated? If they are,which law governs their relation?
And secondly what is meant by KE of a hole in the valence band. Is it the KE of incoming electron?
 
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hi ajith.mk91 ! :smile:
ajith.mk91 said:
Do you mean to say that both PE and KE are interrelated? If they are,which law governs their relation?

not exactly

yes, KE and PE are related by the law KE + PE = constant (or = work done if there's some external force)

no, they aren't related to what we were talking about … the relation needed for that is between the centripetal acceleration (which happens to be proportional to KE) and the gravitational or electric force (not potential) :wink:
And secondly what is meant by KE of a hole in the valence band. Is it the KE of incoming electron?

sorry, not my field, never heard of it :redface:
 

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