State I recovery (14°K-65°K) in electron-irradiated copper consists of five substages of recovery, designated as IA-IE in order of increasing temperature. We report here the shift in the populations of IA-IE as a function of the energy of the bombarding electrons. The sum of the first three substages (IA, IB, and IC) increases with decreasing bombarding energy at the expense of the higher temperature sub-stages. The ratio IDIE also increases with decreasing energy. The data are interpreted as corroboration of a previously proposed model for stage I recovery. The measured shifts are quite small. This is discussed in relation to the recoil energy distributions and it is concluded that the most likely interpretation is that the average separation between a primary recoil and its vacancy does not vary rapidly with increasing recoil energy near threshold. Several possible explanations for this behavior are outlined.