Magic-size clusters
are ultrasmall, transient species that appear
early during semiconductor nanocrystal growth and have been assigned
to stoichiometrically and geometrically well-defined structures. Yet,
a direct analysis has proved difficult due to their limited stability
and challenging isolation. Analytical ultracentrifugation is a promising
tool to analyze these compounds, because it circumvents the need to
purify and, thereby, destabilize the clusters, while yielding information
on their sedimentation and diffusion behavior, size, shape, and composition.
We employ a multiwavelength detector that allows the detection of
whole UV/vis absorption spectra during centrifugation to separate
and identify individual magic-size clusters in crude reaction mixtures
sampled directly from the colloidal syntheses. Analytical ultracentrifugation
thus constitutes an elegant, independent, high-resolution, and statistically
significant method to show the stepwise growth of magic-size clusters,
confirming recent growth models.