Abstract
A new method is developed for correcting β-count rates for absorption of β-particles in volume sources counted in 2π proportional counters. It assumes that β-absorption follows an exponential law along any flight path. The integration over all possible angles of β-penetrations through a thin foil is carried out analytically. The theory predicts that the β-transmission through a plane cover layer should vary as an exponential integral of the second kind (E 2( μx)) as a function of cover thickness, x. With volume sources the transmission is shown analytically to be governed by the E 3 function. Experimental measurements show excellent agreement with the theory and provide a demonstration of a simple, new way of determining experimentally the β-self-absorption correction for cover layers or for volume sources.
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