Photoelectric effect and kinetic energy

In summary, the energy structure of electrons in a metal allows them to occupy energy states below the threshold of the "work function," which is the maximum energy they can have in a free state. The formula for calculating the maximum kinetic energy of ejected electrons takes into account the energy of the photon, the work function of the metal, and the maximum kinetic energy. However, not all electrons will reach this maximum energy due to the nontrivial structure of the potential well. A minimum frequency of EM radiation is needed to free an electron.
  • #1
confuse
4
0
hi
i have a small question:

how come not all emitted electrons have the same kinetic energy despite the radiation of only a single wavelength (that does cause emission of electrons) ?

thanks
 
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  • #2
The energy structure of the electrons in the metal gives a maximum energy of -φ (the "work function") w.r.t the free state, but the electrons can occupy energy states below this threshhold, as well.
 
  • #3
thanks for your reply

i don't want to be a troublesome person, but does it mean that the maximum kinetic energy that is calculated by the formula refers to free electrons, while others can occupy different energy levels and therefore have smaller kinetic energy?

thanks again
 
  • #4
What formula?
 
  • #5
Ephoton = Φ + KEmax


Ephoton = hf is energy of the photon.

Φ is the work function of the metal.

KEmax is the maximum kinetic energy of the ejected electrons .
 
  • #6
OK, no. It means that the maximum kinetic energy refers to only those electrons that have a maximum energy "in the potential well of the metal". Actually, not even all of these electrons will obtain the maximum kinetic energy in your formula, because the potential well has some nontrivial structure. For your purposes, it is probably sufficient to realize that there is a minimum required EM radiation frequency to free an electron.
 
Last edited:

Related to Photoelectric effect and kinetic energy

1. What is the photoelectric effect?

The photoelectric effect is a phenomenon in which electrons are emitted from a material when it is exposed to light or other electromagnetic radiation.

2. How does the photoelectric effect relate to kinetic energy?

The photoelectric effect results in the emission of electrons, which have kinetic energy. This energy can be calculated using the equation E = hf - W, where E is the kinetic energy, h is Planck's constant, f is the frequency of the light, and W is the work function of the material.

3. What is the work function and how does it affect the photoelectric effect?

The work function is the minimum amount of energy required to remove an electron from the surface of a material. If the energy of the incoming light is greater than the work function, electrons will be emitted from the material, resulting in the photoelectric effect.

4. What factors can affect the kinetic energy of the emitted electrons in the photoelectric effect?

The kinetic energy of the emitted electrons can be affected by the frequency of the incoming light, the work function of the material, and the intensity of the light. Higher frequency and intensity of light will result in higher kinetic energy of the electrons, while a higher work function will require more energy to be emitted.

5. What are some applications of the photoelectric effect?

The photoelectric effect has many practical applications, including solar panels, photodiodes, and photocells. It is also used in devices such as photocopiers, night vision goggles, and motion detectors. Additionally, the photoelectric effect is the basis for the operation of cameras and other imaging devices.

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