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Spencer–Attix (SA) and Bragg–Gray (BG) mass-collision-stopping-power ratios of tissue-to-air are calculated using a modified version of EGSnrc-based SPRRZnrc user-code for the International Organization for Standardization (ISO) beta sources such as  147 Pm,  85 Kr,  90 Sr/ 90 Y and  106 Ru/ 106 Rh. The ratios are calculated at 5 and 70 µm depths along the central axis of the unit density ICRU-4-element tissue phantom as a function of air-cavity lengths of the extrapolation chamber  l  = 0.025–0.25 cm. The study shows that the BG values are independent of  l  and agree well with the ISO-reported values for the above sources. The overall variation in the SA values is ∼0.3 % for all the investigated sources, when  l  is varied from 0.025 to 0.25 cm. As energy of the beta increases the SA stopping-power ratio for a given cavity length decreases. For example, SA values of  147 Pm are higher by ∼2 % when compared with the corresponding values of  106 Ru/ 106 Rh source. SA stopping-power ratios are higher than the BG stopping-power ratios and the degree of variation depends on type of source and the value of  l . For example, the difference is up to 0.7 % at  l  = 0.025 cm for the  90 Sr/ 90 Y source.

Monte Carlo-based Spencer–Attix and Bragg–Gray tissue-to-air stopping power ratios for ISO beta sources