The perturbed-angular-correlation (PAC) technique has been applied to the study of the internal electric-field gradients (EFG) in Yb, Y, and Dy sesquioxides. The $^{181}\mathrm{Ta}$ PAC probes were introduced in the oxide lattices by means of $^{181}\mathrm{Hf}$ implantation, which decays to the Ta impurity by \ensuremath{\beta} emission. The tracer $^{181}\mathrm{Ta}$ was used and the results were compared to those obtained in bixbyite structure compounds using $^{111}\mathrm{Cd}$ as a probe. The measured EFG are essentially independent from the probe, reflecting the structure characteristics of both crystalline sites in these compounds. In the case of $^{181}\mathrm{Hf}^{4+}$ and $^{181}\mathrm{Ta}^{5+}$, charge compensation (the cations are 3+) seems to be accomplished through a uniform distribution of the probe's extra electrons in the neighboring oxygen anions. Comparisons of the results to point-charge model predictions are also discussed.