2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139765We have identified excitonic confinement in one-dimensional molecular chains (i.e. polyacetylene and H$_2$) as the main driving force for the saturation of the chain polarizability as a function of the number of molecular units. This conclusion is based on first principles time--dependent density functional theory calculations performed with a new derived exchange--correlation kernel. The failure of simple local and semi--local functionals is shown to be related to the lack of memory effects, spatial ultranonlocality, and self--interaction corrections. These effects get smaller as the gap of the system reduces, in which case such simple approximations do perform better.Materials Sciencetext