Fig. 4: Three nominal contributions to net linewidth. | Communications Physics

Fig. 4: Three nominal contributions to net linewidth.

From: Semi-empirical approach to assess externally-induced photoluminescence linewidth broadening of halide perovskite nanocrystals with particle-size distribution

Fig. 4

a Three nominal contributions to the net experimental linewidth \({\varGamma }_{{{{{{\rm{EXP}}}}}}}\left(\lambda \right)\) (black) of MAPbBr3 vs. CNC (confined nanocrystals) radius. \({\prime} \lambda {\prime}\) inside the parenthesis of each broadening term indicates that the corresponding PL intensity is displayed as a function of \(\lambda\) (not of \(\omega\)). \({\varGamma }_{{{{{{\rm{LO}}}}}}}^{{{{{{\rm{ext}}}}}}\,}\left(\lambda \right)\) (red) designates an extracted \({\varGamma }_{{{{{{\rm{LO}}}}}}}\left(\lambda \right)\) value which is obtained using Eq. (3) and the following three distinct contributions: (i) experimental \({\varGamma }_{{{{{{\rm{EXP}}}}}}}\left(\lambda \right)\), (ii) theoretically computed \({\varGamma }_{{{{{{\rm{QC}}}}}}}\left(\lambda \right)\) (green), and (iii) experimentally extracted \({\varGamma }_{{{{{{\rm{SD}}}}}}}^{{{{{{\rm{ext}}}}}}}\left(\lambda \right)\) (blue). We semi-empirically deduced that \({\varGamma }_{{{{{{\rm{LO}}}}}}}^{{{{{{\rm{ext}}}}}}}\left(\lambda \right)\) is equal to the correct intrinsic \({\varGamma }_{{{{{{\rm{LO}}}}}}}(\lambda )\) for \(R\le 4.95\ {{{{{\rm{nm}}}}}}\). b Semi-empirically deduced size-dependent \({\varDelta }_{R}\) over a wide range of the CNC radius. It shows a constant plateau behavior up to \(R=4.95\ {{{{{\rm{nm}}}}}}\) and decays to zero at \(R=11.85\ {{{{{\rm{nm}}}}}}\) A non-zero \({\varDelta }_{R}\) indicates that there exists a certain degree of nonlinearity in the size-dependent PL wavelength for a CNC having the radius \(R\).

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