In these experiments, the source of charged particles is constant in time [Huxley and Crompton [1974]] . The usual transport coefficients measured by this technique are the first Townsend ionization coefficient, and diffusion perpendicular to the field (lateral diffusion). The ionization coefficient is measured in a parallel plane apparatus where the variation of the source in the radial direction can be ignored (figure ).
The current obtained at the collector is measured as a function of the distance d between the electrodes. If charged particles are ionizing the background gas, then the density of charged particles in the drift region is found to vary exponentially as , where is known as the first Townsend ionization coefficient.
Figure: Parallel Plane Steady State Townsend Experiment
Lateral diffusion is measured by means of a split collector (fig ). In this case, the source has small diameter compared with the dimensions of the apparatus (idealized as a point source). The diffusion perpendicular to the field is extracted from the ratio of currents measured on section A and B. Before 1967, it was assumed that diffusion had the same value in all directions. That this is not the case was shown by Wagner, Davis and Hurst [1967] who from time of flight experiments obtained coefficients of diffusion parallel to the field direction that were different to those obtained by the Townsend-Huxley method.
Figure: Townsend-Huxley Diffusion Experiment. Ratio of currents recieved by
sections A and B are measured.