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The detailed parametric analysis of the Boltzmann equation of ion transport shows that there is an approximately one‐to‐one correspondence between ion transport quantities and a characteristic parameter named the scaled transport cross section and defined earlier [Z. Luo, Nucl. Instrum. Methods B 48, 444 (1990)]. To attest to a significant conclusion, we have completed systematic calculations over numerous‐ranges for ions implanted in solids. The systematic calculations include 3410 ion‐target‐energy combinations. The calculations show that range parameters present a good single‐value dependence on the scaled transport cross section at low incident energies. Based on this result, universal expressions for range parameters have been obtained. To test the validity of the expressions, the range distributions of ions in solids have been calculated by universal expressions. The comparisons between the results of the universal expressions and experimental or Monte Carlo data show that the universal expressions given in the present article can give good predictions to range distributions of low energy ions implanted in solids.