“…58 Furthermore, the impossibility of completely determining the other structures on the potential surface is also well known. Fortunately, we employed an unprejudiced global optimization software, namely the ABCluster procedure 59,60 with excellent conjectures, to determine the valid isomers of multi-metal-silicon clusters 24,25,50 to predict the designs of the unknown structures in this study. The ABCluster procedure uses the ''artificial bee colony'' arithmetic to proceed efficiently with the global optimization.…”