Abstract
A connection is established between the parameters of two widely used realisations of the deformed axially symmetric Woods-Saxon potential-the spherical coordinates Dubna version and the cylindrical coordinates Copenhagen version. The parameters of the latter version are determined for the mass zones A=155, 165, 173 and 181 by a fit to the single-particle levels of the former version but a larger nuclear radius (r0n=1.30 fm, r0p=1.26 fm) is introduced in order to better reproduce the experimental RMS radii.