Quasicrystal approximants with novel compositions and structures

We identify several new quasicrystal approximants in alloy systems in which quasicrystals have not been previously reported. Some occur in alloys with large size contrast between the constituent elements, either containing small Boron atoms, or large Ca/Eu atoms, leading to quasicrystal structures quite different from currently known systems where the size contrast is smaller. Another group of the approximants are layered Frank--Kasper structures, demonstrating competition between decagonal and dodecagonal ordering within this family of structures.