Carnall and coworkers have recently carried out an extensive analysis of the crystal-field levels of trivalent rare-earth ions in LaF₃. Unfortunately, because they used an approximate C₂v symmetry in their fits, rather than the true C₂ symmetry, their crystal-field parameters do not contain the maximum possible information for testing models of the interaction between the rare-earth ions and the F⁻ ligands. Here we report fits to Pr³⁺-LaF₃ using the full C₂ symmetry. Superposition-model parameters are determined from both the C₂ and the C₂v crystal-field parameters. Copyright © 1989 Elsevier Sequoia.