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MgAu2Al crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two MgAu2Al ribbons oriented in the (1, 0, 0) direction. Mg is bonded in a linear geometry to two equivalent Au atoms. Both Mg–Au bond lengths are 2.63 Å. Au is bonded in a linear geometry to one Mg and one Al atom. The Au–Al bond length is 2.44 Å. Al is bonded in a linear geometry to two equivalent Au atoms.
Mg16AuAl12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 9-coordinate geometry to four Mg and twelve Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.13–3.28 Å. There are a spread of Mg–Al bond distances ranging from 3.08–3.29 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.13 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.14 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to five Mg, one Au, and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.08–3.22 Å. The Mg–Au bond length is 3.03 Å. There are a spread of Mg–Al bond distances ranging from 3.00–3.35 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to four Mg, one Au, and six Al atoms. There are one shorter (3.03 Å) and one longer (3.04 Å) Mg–Mg bond lengths. The Mg–Au bond length is 3.01 Å. There are a spread of Mg–Al bond distances ranging from 3.03–3.10 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, one Au, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.28 Å. The Mg–Au bond length is 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.10 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.10–3.14 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.26 Å. In the seventh Mg site, Mg is bonded in a 1-coordinate geometry to four Mg, one Au, and four Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.09–3.16 Å. The Mg–Au bond length is 2.84 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.22 Å. In the eighth Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are one shorter (3.05 Å) and one longer (3.06 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.05–3.15 Å. In the ninth Mg site, Mg is bonded in a 5-coordinate geometry to seven Mg, one Au, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.20 Å. The Mg–Au bond length is 3.14 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.23 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and five Al atoms. Both Mg–Mg bond lengths are 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.07 Å. In the eleventh Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and five Al atoms. The Mg–Mg bond length is 3.08 Å. There are a spread of Mg–Al bond distances ranging from 2.91–3.12 Å. In the twelfth Mg site, Mg is bonded in a 4-coordinate geometry to seven Mg, one Au, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.13 Å. The Mg–Au bond length is 3.10 Å. There are a spread of Mg–Al bond distances ranging from 2.87–3.25 Å. In the thirteenth Mg site, Mg is bonded in a 10-coordinate geometry to two Mg and seven Al atoms. There are a spread of Mg–Al bond distances ranging from 3.05–3.37 Å. In the fourteenth Mg site, Mg is bonded in a 1-coordinate geometry to four Mg, one Au, and five Al atoms. The Mg–Au bond length is 2.87 Å. There are a spread of Mg–Al bond distances ranging from 2.86–3.20 Å. In the fifteenth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. The Mg–Mg bond length is 3.28 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.26 Å. In the sixteenth Mg site, Mg is bonded in a 12-coordinate geometry to three Mg, one Au, and five Al atoms. The Mg–Au bond length is 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.08 Å. Au is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Au–Al bond distances ranging from 2.70–2.75 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded in a 1-coordinate geometry to seven Mg, one Au, and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–2.76 Å. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.72 Å) and one longer (2.77 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.68–2.73 Å. In the fourth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.66 Å) and one longer (2.70 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 1-coordinate geometry to six Mg, one Au, and three Al atoms. There are one shorter (2.70 Å) and one longer (2.75 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 12-coordinate geometry to nine Mg and three Al atoms. The Al–Al bond length is 2.75 Å. In the seventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the eighth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–2.76 Å. In the ninth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and one longer (2.71 Å) Al–Al bond lengths. In the tenth Al site, Al is bonded in a 1-coordinate geometry to seven Mg, one Au, and three Al atoms. In the eleventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the twelfth Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms.
MgAu2Al is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Au atoms. All Mg–Au bond lengths are 2.82 Å. Au is bonded in a body-centered cubic geometry to four equivalent Mg and four equivalent Al atoms. All Au–Al bond lengths are 2.82 Å. Al is bonded in a body-centered cubic geometry to eight equivalent Au atoms.