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Understanding the mechanisms which relate properties of liquid and solidphases is crucial for fabricating new advanced solid materials, such asglasses, quasicrystals and high-entropy alloys. Here we address this issue forquasicrystal-forming Al-Cu-Fe alloys which can serve as a model for studyingmicroscopic mechanisms of quasicrystal formation. We study experimentally twostructural-sensitive properties of the liquid -- viscosity and undercoolability-- and compare results with \textit{ab initio} investigations of short-rangeorder (SRO). We observe that SRO in Al-Cu-Fe melts is polytetrahedral andmainly presented by distorted Kasper polyhedra. However, topologically perfecticosahedra are almost absent an even stoichiometry of icosahedral quasicrystalphase that suggests the topological structure of local polyhedra does notsurvive upon melting. It is shown that the main features of interatomicinteraction in Al-Cu-Fe system, extracted from radial distribution function andbong-angle distribution function, are the same for both liquid and solidstates. In particular, the system demonstrates pronounced repulsion between Feand Cu as well as strong chemical interaction between Fe and Al, which arealmost concentration-independent. We argue that SRO and structural-sensitiveproperties of a melt may serve as useful indicators of solid phase formation.In particular, in the concentration region corresponding to the composition ofthe icosahedral phase, a change in the chemical short-range order is observed,which leads to minima on the viscosity and udercoolability isotherms and has anoticeable effect on the initial stage of solidification.

Al-Cu-Fe alloys: the relationship between the quasicrystal and its melt