Abstract

The performance of the Möllenstedt electron velocity analyzer has been investigated by numerical trajectory tracing by digital computer. Two methods of calculating a field distribution have been employed, namely (a) relaxation for an actual case of interest with cylindrical electrodes, and (b) an analytical solution for a system of two line charges between earthed plates. Suitable equipotential surfaces for this system can be chosen to simulate the cylindrical electrodes of a practical analyzer. The latter system is a reasonable approximation to the actual case, and in practice is much simpler to use in numerical calculations than (a). Using (a) one electrode system has been studied in detail; using (b) several geometries have been investigated. The dispersion of the instrument and the effects of slit width and angular divergence on resolution have been investigated for various electrode geometries. A simple rule for slit width resolution is given.

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