We predicted elpasolites having the composition A 2 BCHal 6 (A and C stand for different monovalent metals; B stands for trivalent metals; and Hal for F, Cl, or Br) that have not been obtained yet. Prediction was based on the data on properties of elements and simple halides only. The computations were carried out using specialized software for computer-assisted data analysis relying on the precedent-based pattern recognition method.Searching for and studying halide compounds having the composition (where A and C stand for monovalent metals; B stands for trivalent metals; and Hal for F, Cl, Br, and I) with the elpasolite-like crystal structure (space group Fm m) is related to the development of new luminescent [1-4], laser [5], and magnetic [6,7] materials. According to the database (DB) on properties of inorganic compounds [8], elpasolites in fluoride and chloride systems are the best-studied elpasolites so far. Much fewer studies have focused on bromo-and iodo-elpasolites, although bromo-elpasolites have recently been intensively studied as scintillation [1, 3] and laser materials [5]. This work aimed at designing new compounds with the elpasolite structure in A-B-C-Hal (Hal = F, Cl, Br) systems using theoretical methods.