  In many colloidal suspensions, the dispersed colloidal particles are
amorphous solids resulting from vitrification. A crucial open problem is
understanding how colloidal stability is affected by the intra-particle glass
transition. By dealing with the latter process from a solid-state perspective,
we estabilish a proportionality relation between the intra-particle glass
transition temperature, $T_{\textrm{g}},$ and the Hamaker constant,
$A_\textrm{H},$ of a generic suspension of nanoparticles. It follows that
$T_\textrm{g}$ can be used as a convenient parameter (alternative to
$A_\textrm{H}$) for controlling the stability of colloidal systems. Within DLVO
theory, we show that the novel relationship, connecting $T_\textrm{g}$ to
$A_\textrm{H},$ implies the critical coagulation ionic strength (CCIS) to be a
monotonically decreasing function of $T_{\textrm{g}}.$ We connect our
predictions to recent experimental findings.
