Photoelectric Effect

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Heinrich Hertz, a German physicist, first observed the photoelectric effect in 1887. He observed that you could lower the minimum voltage required to produce a spark across two metal electrodes by shining UV light on them.

In 1900 Philipp Lenard, also German, showed that shining light on metal produced electrons: the same as the particles observed using cathode rays and thermionic emissions.

So what is it, then?


These are the properties of the photoelectric effect:

  • If you shine light on metal, you get a current.

  • The current is directly proportional to intensity at a given wavelength,

  • although the energy of the electrons remains constant independent of the intensity.

  • If you increase the frequency of the light for a given intensity, the kinetic energy of the emitted electrons increases.

  • There is a well-defined threshold frequency (different for each metal) below which there will be no current.

Unfortunately, this caused a problem....


The photoelectric effect raised many questions:

How do you explain this using the wave theory of light?

Why doesn't increasing the intensity of light make the electrons more energetic?

Why doesn't intense red light cause any electrons to be freed1?

Einstein's answer


In 1905, Einstein, in a paper that interestingly enough was to gain a Nobel Prize, rather than relativity, suggested a solution. He suggested that light was quantized in particles which we now call photons, which have an energy proportional to their frequency. On hitting an electron they give all of their energy to the electron. If this is enough it gets ejected from orbit of the nucleus, and it has an energy related to the energy of the incident photon.

Einstein said that the energy of a photon E=hf, where h is the constant that Planck postulated to avoid the ultraviolet catastrophe2, and f is the frequency of the light.

This was daring... Up until then Planck's constant had only been considered as a mathematical necessity required to describe the Blackbody radiation curve... nothing more.

It is however a simple explanation for why the photoelectric effect acts in the way that it does. If the energy is related to the frequency, this explains the cut-off, when the energy of the photon is not enough to free the electron. It also explains why the kinetic energy of the electrons doesn't vary with the intensity of light.

About 10 years later, Milikan showed that Einstein was correct.

The energy of emitted electrons is given by E=hf-w, where w is the work function3 of the metal, or rather the amount of energy required to free an electron from the metal. If hf is less than or equal to w, then there is no current.

However, there are still problems.


If a photon is a particle of light, how come light can be diffracted, as in Young's double split experiment? That experiment shows light waves interfering, but how does one reconcile this to the idea of photons as particles? How can a particle interfere with itself?

These questions led to the idea of Wave-particle duality.

Applications...


Using the photovoltaic effect, that is generating a current by irradiating two dissimilar semiconducting materials with light which have different conductivity properties, it is possible to convert solar energy into electricity efficiently. This is a clean, cheap to maintain energy source, since it does not require the burning of fossil fuels, and has no moving parts to get broken.

Although currently it is more expensive than more traditional forms of energy generation, it is getting cheaper, and is being viewed as a necessary next step for when the worlds reserves of fossil fuel run out.

Also using the photoelectric effect, it is possible to detect minute amounts of light by amplifying a photoelectric current. Photomultipliers are used to detect interactions between Neutrinos and protons, a currently important area of research.

1Red light has a low frequency, blue light has a high frequency. The lowest frequency Electromagnetic waves are Radio waves, the highest are Gamma Rays.2The Ultraviolet Catastrophe is/will be explained under Blackbody radiation.3Often the greek letters phi () or omega () are used to denote this quantity

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