AbstractIn this work, the linear viscoelastic properties of cetyl-trimethylammonium tosilatewater system are predicted by the modeling of the relaxation spectrum. The modeled spectrum of relaxation times is of the wedge-box type where the wedge portion is located at the short-time scale of relaxation times and the box part covers the long-time scale. The linear viscoelastic properties are calculated through the exact relationships with the suggested spectrum. Agreement between the calculated expressions and experimental data of the moduli and the stress relaxation function is found. Comparison is also made with predictions of the empirical expressions of the ColeCole and the WilliamsWatts models.