A recent theoretical development in the understanding of the small-sca
le structure of Navier-Stokes turbulence has been the proposition that
the scales eta(n) (R) that separate inertial from viscous behavior of
many-point correlation functions depend on the order n and on the typ
ical separations R of points in the correlation. This is of fundamenta
l significance in itself but it also has implications for the scaling
behaviour of various correlation functions. This dependence has never
been observed directly in laboratory experiments. In order to observe
it, turbulence data which both display a well-developed scaling range
with clean scaling behaviour and are well-resolved in the small scales
to well within the viscous range is required. The data of the experim
ents performed in the laboratory of P. Tabeling of Navier-Stokes turbu
lence in a helium cell with counter-rotating disks approach these crit
eria, and provide supporting evidence for the existence of the predict
ed scaling of the viscous scale.