Dimensional modeling of synthesis and conductivity of colloidal quantum dots

On the example of previously synthesized colloidal quantum dots (QD) of some semiconductors (CdSe, PbS, HgSe, InSb), the limiting sizes of nanocrystals with perfect structure during their synthesis were determined depending on the ratio of their volume and surface energies, which can vary from 6 nm for QD-InSb to 17 nm for QD-CdSe. The conductivity of single quantum dots in the interelectrode nanogap is one-electron, and their current-voltage characteristic has regions of electron tunneling through potential barriers, Coulomb current limitation, and resonant peaks of quantum conductivity. Dimensional relations are determined and nomograms of the relationship of dimensional parameters are constructed to ensure the conditions for quantum conductivity. The assumption about terahertz current oscillations is substantiated.