The distance dependences of the intrinsic parameters B_k have been evaluated using the ab initio molecular-orbital MO theory for the Pr³⁺-Cl^- ion pair at different internuclear distances. The theoretical values for the corresponding power-law exponents are t₄=6.0 and t₆=6.9. The present result shows much better agreement for the theoretical variations of B₄(R) and B₆(R) with the experimental data than a previous theoretical calculation. The comparison of the present ion-pair system with the earlier theoretical and recent experimental results for the Pr³⁺-F/sup /on-pair system shows similar distance dependences of the intrinsic parameters.