The application of the radiation weighting factor WR and the new concept of effective dose to determine a radiation risk relevant body dose, results in large differences in comparison with the old concept of effective dose equivalent of ICRP 26. Modifications of the radiation weighting factor are proposed, which will not change the general concept of ICRP 60, but will lead to a reduction of these differences. The methods are discussed and the resulting fluence-to-effective dose conversion function is calculated.