The invention relates to synthesis of nanoparticles, in particular to methods for producing nanoparticles with networks consisting of Z sulphate (Z=magnesium (Mg), calcium (Ca), strontium (Sr), barium (Ba) or the binary mixtures thereof). The inventive method consists in synthesising the nanoparticles by crystal growth from an ion Z source and a sulphate ion source in a liquid phase mixture. The invention produces Z sulphate nanoparticles having a small diameter and uniformly dispersible in water or other solvents in a simple way. Co-ordinating solvents like glycerine, glycol ethylene and other polyethylene glycols, polyalcohols or dimethylsulphoxide (DMSO) are used for the synthesis mixture.