Ternary I-III-VI 2 semiconductor nanocrystals (NCs), such as CuInS 2 , are receiving growing attention as they offer the possibility to overcome the toxicity concerns related to heavy metals for numerous technologies spanning from solar cells, luminescent solar concentrators (LSCs) and artificial lighting to bioimaging. Despite the intense research activity, the fundamental mechanisms underpinning the optical properties of CuInS 2 NCs are still not fully understood. Studies suggest that the characteristic Stokes-shifted and long-lived luminescence arises from radiative decay of conduction band electrons to copperrelated defects that are particularly abundant in non-stoichiometric NCs or into a strongly localized HOMO based on Cu(3d) states. However, a recent theoretical model points to a further phenomenon; namely the detailed structure and odd-even parity states of the valence band. Crucially, this model, which has not been experimentally validated, predicts a distinctive optical behaviour in defect-free NCs: the quadratic dependence of both the radiative decay rate and the Stokes shift on the NC radius. If this origin was confirmed, this would have crucial implications for LSC devices as the large solar spectral coverage ensured by low bandgap (large size) NCs would come with a cost in terms of increased reabsorption of the guided near-IR luminescence. Here, we test this hypothesis by studying stoichiometric CuInS 2 NCs of varying sizes. Data reveal, for the first time, the spectroscopic signatures theoretically predicted for the free band edge exciton of I-III-VI 2 NCs, thus providing experimental support to the valence-band structure model. At very low temperatures the same NCs also show dynamic signatures of dark-state emission likely originating from enhanced electron-hole spin interaction. We then evaluated the trade-off between the enhanced solar harvesting of large NCs and their progressively smaller Δ SS on the efficiency of LSCs by performing Monte Carlo ray tracing simulations based on the experimental data that provided useful guidelines for the design of efficient LSCs based on stoichiometric CuInS 2 NCs. Finally, based on such theoretical insights, we fabricated largearea plastic LSC devices showing optical grade quality and an optical power efficiency as high as 6.8%, corresponding to the highest value reported to date for large-area LSC devices.