Theory of Coincidence Counts and Simple Practical Methods of Coincidence Count Correction for Optical and Resistive Pulse Particle Counters

Abstract
The exact equation for primary coincidence count correction is derived, and it is shown that secondary coincidence correction can be calculated with an accuracy depending only on statistical counting errors. A coincidence correction equation is developed in the form of a series of unknown terms, but of known structure. The unknown terms can be eliminated by solving simultaneous equations obtained by counts after dilution of the gas or liquid sample containing particles in suspension, or by counts on the undiluted fluid by varying the size of the instrument sensing volume. These methods suggest useful improvements in the construction and use of particle counters.

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