Concepts* Equipment * Explanation

 

Photoelectric Effect, Diffraction Gratings and Photons
Demonstration created by: Dr. Scott Dwyer - 2002
Modified 8/12/03

     
    CONCEPTS:
   
Diffraction Photons
Diffraction Grating Photoelectric Effect
Light Planck's Constant
Frequency Quantum Physics
Energy  
  EQUIPMENT:
 
Diffraction Grating Other...
Photomultipliers  
  EXPLANATION:

Quantum physics came into being because classical physics could not explain experimental results on the atomic scale. Max Planck was the first to propose quantized energy levels in 1900, and Einstein explained the photoelectric effect in 1905. (Einstein was awarded the Nobel Prize in 1921 for his explanation of the photoelectric effect, NOT relativity as most people think.)

Three conclusions from the photoelectric effect could only be explained using quantum theories:

  • the emission of an electron from a clean metal surface is independent of intensity of the light

  • the emission of an electron does depend on frequency and has a minimum "threshold" frequency below which no emission occurs, and

  • there is no "time lag" while the electron "soaks up" energy from a weak light source. The electron is emitted immediately, even if the light is very feeble. All you need is a high enough frequency.
In your activity, you used a mercury light source which produces an intense, nearly white light. To select the various frequencies or wavelengths, the white light was passed through a diffraction grating producing a "rainbow" of color, much like the prism I showed you earlier.
Diffraction gratings are extremely useful devices for separating component wavelengths and hence the identification of those components in a source. You can identify the chemical composition of various compounds on earth as well as the composition of stars by observing their "spectra".


A diffraction grating uses interference, like in a two slit case, but with a large number of slits, about 1000 per millimeter. As the number of slits increases, the maxima get narrower and sharper, while the minima spread out. The result for N slits is fine "spikes" for the maxima separated by broad dark bands. This is useful because if you have many wavelengths in a source, an ordinary two-slit approach which gives wide maxima will have the various colors overlapping too much. The grating spreads out the colors making their angular positions easy to identify.

The lack of a time lag in the photoelectric effect suggested that light travels in discrete little bundles or packets called "photons". The Compton Effect, or the wavelength shift in the scattering of X-rays, also demonstrated that light must be composed of these packets. However, the interference of light can only be explained if light is a wave.

If you shine light that is so dim through a double slit arrangement, the light arrives on the screen as single photons. You can detect where these photos hit the screen one-by-one. At first the photons appear randomly spread across the screen.

But after a time, you see the emergence of bright bands and dark bands. Somehow the single photons "know" that there are two slits and the photons interfere with themselves! This suggests that light travels as a wave, but when it interacts with matter, as in the photoelectric effect, it does so as a particle.

How can you detect one single photon? You use a device called a "photomultiplier" which works using the photoelectric effect. A single photon hits a small metal plate with a very low work function, so a single electron is emitted.
 
That electron is accelerated through a potential and strikes another metal, where its energy frees several electrons. Those new electrons are accelerated across another potential where each one frees several electrons. This "cascading" effect will eventually produce a current that is high enough to be measured. Hence, the arrival of one photon can be detected.