Abstract: Applying the improved exciton state density formula, the energy spectra andthe double differential cross sections for ~(238)U(n,n′), ~(235)U(n,n′), and ~(93)Nb(n,n′)reactions are calculated based on the unified exciton model formulas. In theenergy range in which the compound and precompound theories work, the calcu-lation fits experimental data very well.