A method for preparing semiconductor nanocrystals including a core and an overcoating layer is disclosed. According to one aspect of the invention, the method comprises preparing more than one batch of cores comprising a first semiconductor material and having a maximum emission peak within a predetermined spectral region, wherein each batch of cores is characterized by a first excitonic absorption peak at an absorption wavelength and a maximum emission peak at an emission wavelength; selecting a batch of cores from the batches prepared wherein the selected batch is characterized by a difference between the absorption wavelength and the emission wavelength that is less than or equal to 13; and overcoating the cores of the selected batch with a layer comprising a second semiconductor material.