Through microcalorimetric experiments, disperse order (DO) dissolution kinetics in preannealed e-Cu-AI alloys containing 1 9, 13 and 6.5 at% aluminium were adequately described by the integrated kinetic model function arising from the steady-state part of the diffusion field: f(y) = 1 -(1 -y)2/3. Domain sizes after the annealing treatment, and also critical radii, were determined from differential scanning calorimetry data analysis at different heating rates. The existence of critical radii indicates that the disperse-order dissolution process is a firstorder transition. Nevertheless, it was inferred that for very dilute alloys, only short-range order is present. After pre-annealing the alloys at different temperatures, volume fractions and domain concentrations were computed by employing the above kinetic model under high heating-rate conditions. On the basis of appropriate time constant and diffusion time calculations, the range of such temperatures compatible with equilibrium attainment was established. Prolonged pre-anneals alter the particle distribution, but do not influence either volume fractions or domain sizes. A semi-quantitative particle radius-particle concentration-temperature diagram was proposed for e-Cu-AI alloys.