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La2RuAu crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two La2RuAu ribbons oriented in the (1, 0, 0) direction. La is bonded in a linear geometry to one Ru and one Au atom. The La–Ru bond length is 2.29 Å. The La–Au bond length is 2.78 Å. Ru is bonded in a linear geometry to two equivalent La atoms. Au is bonded in a linear geometry to two equivalent La atoms.
La2RuAu is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. La is bonded in a body-centered cubic geometry to four equivalent Ru and four equivalent Au atoms. All La–Ru bond lengths are 3.18 Å. All La–Au bond lengths are 3.18 Å. Ru is bonded in a body-centered cubic geometry to eight equivalent La atoms. Au is bonded in a body-centered cubic geometry to eight equivalent La atoms.