Voltage question (photoelectric effect)

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Discussion Overview

This discussion revolves around the photoelectric effect, specifically focusing on the relationship between voltage, kinetic energy of electrons, and the work function in different materials. Participants explore the underlying principles and equations related to the phenomenon.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on the equation eU_z = E_k_max and the meaning of eU_z.
  • Another participant discusses the concept of stopping voltage (Vstop) and its relation to the maximum kinetic energy of electrons, suggesting that eVstop = hf - W.
  • A participant explains the work function in semiconductive materials, noting that it represents the energy needed to free an electron from an atom and how this relates to kinetic energy and voltage. They emphasize the statistical nature of electron behavior.
  • A later reply reiterates the work function explanation but highlights that the standard photoelectric effect experiment is typically conducted with metals, suggesting that the discussion of conduction and valence bands may not apply in this context.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of work function concepts in semiconductors versus metals, indicating that there is no consensus on the relevance of band theory in this scenario.

Contextual Notes

There are unresolved assumptions regarding the definitions of terms like work function and the applicability of semiconductor principles to the photoelectric effect as traditionally understood in metals.

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I learn about photoelectric effect. Can somebody tell me why:
[tex]eU_z=E_k_,_m_a_x[/tex]
What is [tex]eU_z[/tex]?
 
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I think about this.
photoelr.gif


Also I found this,
On cranking up the negative voltage on the collector plate until the current just stops, that is, to Vstop, the highest kinetic energy electrons must have had energy eVstop on leaving the cathode. Thus,

eVstop = hf - W
But still can't understand why maximum kinetic energy of the electrons. PLease help!
 
Well, semiconductive materials tend to have a 'work function' which is basically the energy difference between, I believe, the conduction and valence bands in the atom. This corresponds to a certain voltage needed simply to free the electron from the atom (and give it a Kinetic Energy + Potential Energy = 0); any additional energy will go into accelerating the freed electron. Due to conservation of energy, the kinetic energy of the electron can only correspond to the remaining voltage defined by (voltage in - band gap voltage). I think this is called 'maximum' because in reality electrons aren't really the classical type of objects and you have to think in terms of statistics and not concrete principles. That is to say that the electrons need not absorb all that energy available (and hence have a lower KE than the maximum available).
 
dst said:
Well, semiconductive materials tend to have a 'work function' which is basically the energy difference between, I believe, the conduction and valence bands in the atom. This corresponds to a certain voltage needed simply to free the electron from the atom (and give it a Kinetic Energy + Potential Energy = 0); any additional energy will go into accelerating the freed electron. Due to conservation of energy, the kinetic energy of the electron can only correspond to the remaining voltage defined by (voltage in - band gap voltage). I think this is called 'maximum' because in reality electrons aren't really the classical type of objects and you have to think in terms of statistics and not concrete principles. That is to say that the electrons need not absorb all that energy available (and hence have a lower KE than the maximum available).

Please note that the standard photoelectric effect experiment is done on metals, not semiconductors, which would have added a different level of complexity. So the question between the conduction and valence band isn't valid here within this scenario.

Zz.
 

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