Energy losses for 30−350 keV protons in thin foils of La, Nd, Tb, Dy, Lu, Ta, Re, Ir, Pt, Au, and Bi are measured using a magnetic spectrometer. One goal of our experiments is to check the accuracy of Ziegler's interpolation of stopping cross sections [2] for protons in a mass region where this interpolation is based only on few or even no experimental data. Although not being of obvious physical importance, the proton energy at maximum stopping, E( S max), turns out to give some indication for the precision of Ziegler's stopping function. Ziegler composed these functions of a low energy part and a high energy part with no special condition for the location of the maximum. Nevertheless, our experiments strongly support most of the values for E( S max) as deduced from Ziegler's functions: E( S max) is oscillating as a function of the target's nuclear charge as is the stopping cross section itself, thus reflecting the electronic structure of the materials. On the other hand, our experimental data give some indication that the interpolated function establishes too low values for the stopping cross sections of the heavy metals.