An elementary technique has been developed to intercept available values of a given atomic or molecular multipole dynamic polarizability through an expression providing a faithful representation for its dependence on the imaginary frequency. The explicitation of the implied interpolative parameters is obtained by imposing that the available data ought to be exactly intercepted. Numerical tests concerning a ground state hydrogen atom have confirmed the reliability of such interpolative procedure for extracting continuous trends from some initial estimates performed on multipole polarizabilities and for evaluating dispersion constants. (C) 2003 Elsevier Science B.V. All rights reserved.