Calculation of specific energies of incorporated239Pu and131I in accordance with the concept of the critical cell

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Abstract
A better understanding of the effects of energy deposited in cells by incorporated isotopes can be expected from an analysis of differential cell doses. With this thought in mind, the distributions of specific energies in tissue were calculated for239Pu and131I. A program written in Fortran IV makes use of a matrix of spherical cells and cell nuclei of 10 and 8 µn diameter, respectively. The cells are arranged in close-packed structure. The radioactivity is considered as being compiled to point sources of 1 dps activity. The sources are located in the common centers of cells and nuclei. The calculations yield discrete values of specific energy using the mass of the nuclei for mass of reference. The numbers of cell nuclei receiving given amounts of specific energy are functions of the specific activity of the isotopes in the tissue. The specific activity is varied by changing the number of sources per g of tissue. The program also allows to calculate the numbers of cell nuclei with zero energy deposition. From the 1 dps point sources an average specific energy of 831 rads/h results for plutonium for cell nuclei within the range of the 5.14 MeVα-particles. For iodine, the value is 35 mrads/h within the range of theβ-particles of 188 KeV mean energy. If the volumes irradiated by the sources begin to overlap these values begin to increase accordingly.

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