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This paper presents theoretical solutions for mean traveling distance of primary photons emitted from ground contaminated with radionuclide. Three typical patterns of radioactivity distribution are considered: (1) plane superficial source, (2) homogeneous volume source and (3) exponentially decreasing activity as a function of soil depth. Radiation dose rate can be to be evaluated using the mean traveling distance. Comparisons between the results calculated in the present work and thosedoi:10.1088/0026-1394/53/6/1259 fatcat:d3gnpacafbcbrbylwvfftyee4i