Nano-object topology
determination is a central question in nanoscience
and remains a challenge to achieve in the absence of a supporting
substrate and atomic resolution techniques. In this work, we demonstrate
how second-harmonic scattering (SHS) is sensitive to the balance between
the nano-object shape symmetry and size, thereby allowing for a SHS-defined
topological definition. Although many data on nano-objects have been
reported with this method so far, in most cases dispersed in liquid
suspensions, no topological retrieval has been proposed. To reach
this task, we have measured the second-harmonic scattered light from
a series of representative nano-objects along two collection directions
for well-defined polarization states. The experimental results are
then recast within a general framework involving nonlinear emitting
sources and the size as critical elements. This analysis leads to
the classification of the nano-objects according to the topology defined
by their SHS response.