In an effort to search for new compositions and structures of quantum dots with suppressed blinking photoluminescence (random switching between states of high (on) and low (off) emissivity under continuous photo-excitation) and to serve application purposes in biosensors and in optoelectronic devices, we have studied the fabrication of new CdZnSe/ZnSeS ternary alloy quantum dots (QD). In this work, we present new results on the fabrication of the alloy core/shell quantum dots having a shell thickness of about 1.52 nm and a varied shell composition in Se/S ratio. The influence of the growth temperature on the structural properties (crystalline phase and cell), size and elemental compositions of the core and core/shell QDs is presented. Analysis and in-depth comparison of the calculated ternary QDs' composition are performed based on the energy dispersive X-ray spectroscopy (EDS) data and the first exciton absorption peak position and size. Interpretation of the experimental results is also provided.