Voltage question (photoelectric effect)

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SUMMARY

The discussion centers on the photoelectric effect, specifically the relationship between the stopping voltage (Vstop) and the maximum kinetic energy (E_k_max) of emitted electrons. The equation eVstop = hf - W illustrates that the maximum kinetic energy of electrons is determined by the energy of incident photons (hf) minus the work function (W) of the material. The work function represents the energy required to liberate an electron from the atom, and the discussion emphasizes that the photoelectric effect is typically observed in metals rather than semiconductors, which complicates the analysis of conduction and valence bands.

PREREQUISITES
  • Understanding of the photoelectric effect
  • Familiarity with concepts of kinetic energy and potential energy
  • Knowledge of work function in materials
  • Basic principles of quantum mechanics
NEXT STEPS
  • Study the photoelectric effect in detail, focusing on metals
  • Explore the concept of work function and its implications in different materials
  • Learn about the statistical behavior of electrons in quantum mechanics
  • Investigate the differences between metals and semiconductors in the context of electron emission
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Students and professionals in physics, particularly those studying quantum mechanics, materials science, and electrical engineering, will benefit from this discussion on the photoelectric effect and its underlying principles.

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I learn about photoelectric effect. Can somebody tell me why:
eU_z=E_k_,_m_a_x
What is eU_z?
 
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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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