Colloidal quantum dots (CQDs) attract worldwide scientific and technological attention due to the ability to engineer their optical properties by the variation of their size However;several,important applications, such as biological tagging and photovoltaic cells, impose a limit on their size yet demand tunability and thermal stability of the optical band edge,This work introduces a new class of heterostructures, composed of PbSe or PbSeyS1-y cores, coated by PbS or PbSexS1-x shells, with different core-radius/shell width division, with a radial gradient composition (with 0 < y < 1, 0 < x < 1), which offer a control of the band edge properties by varying the CQDs' composition Continuous wave and transient photoluminescence measurements over a wide temperature range (14-300 K) revealed a distinct behavior of the heterostructures with respect to that of pure PbSe cores (i) increase of the emission quantum yield; (Hired shift of the absorption edge but a decrease of the emission Stokes shift, (iii) alleviation of a dark exciton recombination; viz :a reduction of an exchange Interaction, (iv) tuning of the radiative lifetime with shell width and composition, (v) reduction of the band edge temperature coefficient dE/dT, viz, Induction of thermal stability. The k p envelope function,calculation, considerig abrupt or smooth alloying continuation of the potential at the core-shell interface revealed a delocalization of the hole entire volume of the CQDs; as a partial marked tunability, nonetheless preserving a desired size