“…The build-up factors in the ANS-6.4.3 are for 23 elements of the atomic numbers Z = 4 to 92. The build-up factors of ANS-6.4.3 can also be calculated by invariant embedding (Shimizu, 2002;Shimizu et al, 2004). Harima et al (1986) developed a fitting formula, called Geometrical Progression (GP), which gave build-up factors in good agreement with the ANS-6.4.3.…”