The Anderson positron track experiment identified a light positively charged particle, now called the Positron, by combining magnetic bending, loss of kinetic energy in lead, and particle range. Each observation answered a different question: bending constrained momentum, the lead supplied a direction of travel, and particle range tested the proposed mass.
Carl David Anderson's The Positive Electron (1933), pp. 491–493, describes the 1932 discovery in a vertical cloud chamber with a magnetic field. A lead plate separated two photographed track segments. The effective viewing depth was along the magnetic field, with transverse diameter: this restricted out-of-plane motion. The photographic readout supplied curvature on both sides. Comparisons with Electron tracks under the same conditions constrained ionization; specific ionization was not directly measured for these events. He tested accidental alignment of unrelated tracks and rejected a reversed Electron interpretation requiring an increase of kinetic energy in lead. Assuming unit electric charge, the mass bound was about twenty Electron masses, rather than an exact mass determination. The paper credits Robert Andrews Millikan with the design and Seth Henry Neddermeyer with assistance.[ref]
Preparation used rapid piston expansion and a water–alcohol mixture in the cloud chamber; cooling permitted droplets to form along ionization trails. A camera photographed these droplets. Initially, expansions occurred at random, so many photographs contained no tracks. Later counter triggering improved the useful yield.[ref]
In The Production and Properties of Positrons, his 1936 lecture, Carl David Anderson describes the chamber inside an electromagnet and explains why the lead plate was decisive: after losing kinetic energy, a particle bent more sharply. He describes a proton hypothesis predicting only of particle range, against an observed path longer than . These are historical values from the lecture, not the stipulated example below. The point was the incompatibility of particle range with the momentum inferred from curvature, rather than positive electric charge alone.[ref]
Patrick Maynard Stuart Blackett and Giuseppe Occhialini began their cosmic-ray collaboration in 1931. They used the coincidence methods of Walther Bothe and Bruno Rossi to make a particle initiate its own recording. Blackett later reported tracks on about of their counter-controlled photographs, compared with roughly – for random expansions in small chambers. Those figures describe the reported apparatus and conditions, not a universal detection efficiency.[ref]
In their 1933 account, Geiger counters above and below the chamber fed a coincidence circuit. Its pulse operated a thyratron, magnet and spring-release valve, letting a light piston expand the gas. A mercury-vapor lamp then illuminated the drops. A water-cooled solenoid supplied the magnetic field; two oblique cameras allowed track reconstruction. Moving the lower counter changed which trajectories could be recorded.[ref]
Figure 1.
Counter coincidence initiates expansion, illumination and photography in a functional reconstruction of the Blackett-Occhialini method
. Original diagram, not a scale drawing or a historical photograph. The pictured track and positions are illustrative; magnetic curvature and event direction require further measurements. Details.
Two timing problems must be separated. The coincidence circuit's window distinguishes nearly simultaneous counter signals. The mechanical expansion latency determines how much the existing ionization trail spreads before droplets form. For a chosen one-coordinate diffusion model with initial variance , diffusion coefficient and expansion delay ,
Taking , and gives . This is an original illustrative calculation, not the historical track width. It shows why a fast electronic pulse does not by itself guarantee a sharp photograph: the subsequent mechanical response also matters.
The photographs revealed groups containing positive and negative electron-like tracks, complementing the Anderson positron track experiment. Their interpretation depended on track curvature, direction, ionization and particle range, not simply on the presence of a coincidence.[ref] Blackett explicitly noted that the counter control favored larger particle showers.[ref] The multiplicity bias from a detector trigger gives a small model of that effect: a recording method can improve the study of rare interactions while making its photographs unrepresentative of the incident population.
Magnetic rigidity 2026-10-18
Magnetic rigidity measures the resistance of a charged particle's momentum to bending by a magnetic field. The relativistic cyclotron orbit gives , where is the transverse gyroradius. For motion perpendicular to a uniform magnetic field, is the whole momentum. A measured magnetic rigidity fixes momentum per magnitude of electric charge; it does not by itself fix mass, kinetic energy, or the sign of the electric charge. This distinction makes the Anderson positron track experiment an especially revealing application of the Lorentz force.