Fig. 1: Linewidth broadening arising from the polydispersity in CNC-size distribution g(R).

a, b CNC-size distribution \(g\left(R\right)\) depends on the size. c Hypothetical linear variation and (d) nonlinear variation in the PL wavelength \(\lambda\) across the modal CNC (confined nanocrystal) size would produce (e) a slightly asymmetric \(f\left(\lambda \right)\) spectrum that is skewed toward the long-\(\lambda\) side of the modal (peak) \({\lambda }_{p}\), and (f) a spectrum with a slight skew toward the short-\(\lambda\) side of \({\lambda }_{{{{{{\rm{p}}}}}}}\) for the same CNC-size distribution \(g\left(R\right)\). g Schematic diagram that graphically illustrates the relation, \({\varGamma }_{{{{{{\rm{net}}}}}}}\approx {\varGamma }_{{{{{{\rm{LO}}}}}}}+{\varGamma }_{{{{{{\rm{SD}}}}}}}\). Herein, we ignore \({\varGamma }_{{{{{{\rm{QC}}}}}}}\) and \({\varGamma }_{{{{{{\rm{o}}}}}}}\) to simplify our discussion at a conceptual level.