The Discovery of the Positron: Anderson’s Cloud Chamber Photograph
Work it out
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The story behind the photograph
The experiment. In 1932 Carl Anderson was photographing cosmic rays at the California Institute of Technology. He used a cloud chamber standing on its edge between the poles of a large electromagnet, which gave a field of 15,000 gauss (1.5 T). Thin trails curved one way or the other, and he could not tell whether a trail curving to the left was a positive particle moving up or a negative particle moving down.
The lead plate. To settle the direction, Anderson put a lead plate 6 mm thick across the middle of the chamber. A particle loses momentum going through lead, so its trail curves more tightly after the plate than before it. On 2 August 1932 he photographed a trail that entered the plate with an energy of about 63 MeV and came out with about 23 MeV.
What it meant. The trail was positive, but far too long to be a proton’s. Anderson concluded it was a positive particle with about the mass of an electron, and named it the positron. Paul Dirac’s theory had predicted such an antiparticle of the electron in 1931. The positron was the first antiparticle found, and Anderson shared the 1936 Nobel Prize in Physics for the discovery.
See the original. The Science Museum Group holds a print of the photograph, and Anderson’s paper is The Positive Electron, Physical Review 43, 491 (1933).
Equations
Why the direction matters. The magnetic force on a charge depends on both the sign of the charge and the direction of motion. Reversing either one reverses the force, so a positive particle moving up and a negative particle moving down curve the same way. A trail on its own does not show which way the particle went.
How the plate settles it. A particle always loses momentum in the lead and never gains it. The tighter curve, with the smaller radius and so the smaller momentum, must be on the side where the particle came out. Compare “Anderson’s particle” with “An electron travelling down”: the two curve the same way, but the tighter curve is on opposite sides of the plate.
Why it is not a proton. A proton with the momentum of the upper trail would have a kinetic energy of only about 0.3 MeV and would stop within about 5 mm of air. The trail above the plate is more than 5 cm long, and it is thin, like an electron’s. Send the proton to see the difference.
The model. The radii come from Anderson’s published values: 63 MeV and 23 MeV in a 1.5 T field give 14.0 cm and 5.1 cm. The exact position and angle of the trail are chosen for the drawing. The field direction into the page is assumed for this recreation.