Editing Wigner–Seitz cell (section)

==Composite lattices==
For [[composite lattice]]s, (crystals which have more than one vector in their [[Basis (crystal structure)|basis]]) each single lattice point represents multiple atoms. We can break apart each Wigner–Seitz cell into subcells by further Voronoi decomposition according to the closest atom, instead of the closest lattice point.<ref>{{cite book|author1=Giuseppe Grosso|author2=Giuseppe Pastori Parravicini|title=Solid State Physics|page=54|isbn= 978-0123044600|date=2000-03-20}}</ref> For example, the [[Diamond cubic|diamond crystal structure]] contains a two atom basis. In diamond, carbon atoms have [[Tetrahedral molecular geometry|tetrahedral sp<sup>3</sup> bonding]], but since [[Tetrahedron packing|tetrahedra do not tile space]], the voronoi decomposition of the diamond crystal structure is actually the [[triakis truncated tetrahedral honeycomb]].<ref name=conway2008>{{cite book|last1=Conway|first1=John H.|last2=Burgiel|first2=Heidi|last3=Goodman-Strauss|first3=Chaim|title=The Symmetries of Things|page=332|year=2008|isbn=978-1568812205}}</ref> Another example is applying Voronoi decomposition to the atoms in the [[A15 phases]], which forms the [[Weaire–Phelan structure#Polyhedral approximation|polyhedral approximation of the Weaire–Phelan structure]].