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We investigate the connection between the geometry of Favoured LocalStructures (FLS) in liquids and the associated liquid and solid properties. Weintroduce a lattice spin model - the FLS model on a face-centered cubic lattice- where this geometry can be arbitrarily chosen among a discrete set of 115possible FLS. We find crystalline groundstates for all choices of a single FLS.Sampling all possible FLS's, we identify the following trends: i) low symmetryFLS's produce larger crystal unit cells but not necessarily higher energygroundstates, ii) chiral FLS's exhibit to peculiarly poor packing properties,iii) accumulation of FLS's in supercooled liquids is linked to large crystalunit cells, and iv) low symmetry FLS's tend to find metastable structures oncooling.

Favoured Local Structures in Liquids and Solids: a 3D Lattice Model