Universal Size-Dependent Stokes Shifts in Lead Halide Perovskite Nanocrystals
Size-dependent photoluminescence Stokes shifts (Δ E s ) universally exist in CsPbX 3 (X = Cl – , Br – , or I – ) perovskite nanocrystals (NCs). Δ E s values, which range from ~15 to 100 meV for NCs with average edge lengths ( l ) from approximately 13 to 3 nm, are halide-dependent such that Δ E s (CsPbI 3 ) > Δ E s (CsPbBr 3 ) ≳ Δ E s (CsPbCl 3 ). Observed size-dependent Stokes shifts are not artifacts of ensemble size distributions as demonstrated through measurements of single CsPbBr 3 NC Stokes shifts ((Δ E s ) = 42 ± 5 meV), which are in near quantitative agreement with associated ensemble ( l = 6.8 ± 0.8 nm) Δ E s values (Δ E s ≈ 50 meV). Transient differential absorption measurements additionally illustrate no significant spectral dynamics on the picosecond time scale that would contribute to Δ E s . This excludes polaron formation as being responsible for Δ E s . Overall, the results point to an origin for Δ E s , intrinsic to the size-dependent electronic properties of individual perovskite NCs.