The Rossi counter, a low-pressure spherical proportional counter with tissue-equivalent walls and filling, is used for measuring the spectra of linear energy transfer of various radiations [i].Such a counter was used in [2] as a detector for measuring the equivalent radiation dose of arbitrary spectral composition.This required information about the energy release spectrum P(e) produced by charged particles in a homogeneous field of monoenergetic radiation in the gas cavity of the counter.Earlier studies of the Rossi counter [3] assumed that for charged particles in which the track radius R is much smaller and the range much greater than the tissue diameter of the counter d = 2a, the energy spectrum P(~) has a triangular form with a limiting (maximum) energy release ~m = 2aL, where L is the linear energy transfer of the particles.By the tissue diameter of the counter is meant the thickness of a tissue-equivalent layer such that a particle passing through it loses the same amount of energy as when crossing its diameter.The energy release spectra P(e) in a Rossi counter have been calculated in [4] for particles with a track radius R--~ ~i03 ~m; the spectra have been found triangular within the entire range of R, the maximum energy release em(R) becoming less than 2aL (Fig. I, curve i) with increasing R (or its corresponding energy T). The curves in Fig. 1 were plotted for a track diameter 2a = 2 ~m.
According to [4] the normalized energy spectrumP(e) due to low-energy particles with a track radius R isO, if s>sm.We have attempted to compare the results of [4] with the Bragg-Grey principle. Let A be the geometric radius of the gas cavity of the counter. Any particle with a track radius R crossing a sphere of radius A + R can release energy in the counter.If ~ is the fluence of particles with a track radius R, the number of such particles N crossing a sphere of radius A + R is given by N = On (A + R) ~.If the bulk stopping power of the wall material and the gas filling are the same, the ma~s of the gas is where ~ is the tissue density.Assume that the energy release spectrum in the gas cavity is triangular within the entire interval 0 --< e <---em and that each particle crossing the sphere of radius A + R releases energy in the cavity; the dose absorbed in the gas cavity is then In view of the above assumptions, the estimate (2) is an upper bound, and from the condition of equality of the doses in the wall material and in the gas follows that sm(R) should lie within the interval