Scheme for extracting size-distribution information of a quantum dot ensemble from its absorption spectrum

摘要

We design a scheme for obtaining size distribution information for colloidal quantum dots (QDs) embedded in a host material. The calculation uses the QDs' optical absorption spectrum and requires the absorption spectra for a series of sample QDs, having a uniform size distribution with specific radii. In an analogy to a quantum state expanded by a basis vector set, the absorption spectrum of a QD ensemble with an unspecified size distribution can be expanded by those of the sample spectra, which are treated as basis vectors. The proportion of QDs with a radius around each sample's radius can be extracted. We also discuss the case without sufficient sample spectra.