Published data on nuclear resonance photon scattering (NRPS), in the M
eV range, from metallic targets were analysed to get the mean-square z
ero-point linear momenta [p(x)2) of the scattering atoms. It is shown
that when these are combined with known experimental values of [x2] at
0 K, the theoretical lower limit of the Uncertainty Principle may be
approached to within a few percent.