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Er2Mg crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Er atoms. All Mg–Er bond lengths are 3.32 Å. Er is bonded to four equivalent Mg and eight equivalent Er atoms to form a mixture of distorted edge, face, and corner-sharing ErEr8Mg4 cuboctahedra. There are four shorter (3.45 Å) and four longer (3.57 Å) Er–Er bond lengths.
MgEr is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Er atoms. All Mg–Er bond lengths are 3.26 Å. Er is bonded in a body-centered cubic geometry to eight equivalent Mg atoms.
ErMg2 is Hexagonal Laves structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to six equivalent Mg and six equivalent Er atoms to form a mixture of corner, edge, and face-sharing MgEr6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.02 Å. All Mg–Er bond lengths are 3.53 Å. In the second Mg site, Mg is bonded to six Mg and six equivalent Er atoms to form a mixture of corner, edge, and face-sharing MgEr6Mg6 cuboctahedra. There are two shorter (2.93 Å) and two longer (3.09 Å) Mg–Mg bond lengths. There are two shorter (3.50 Å) and four longer (3.52 Å) Mg–Er bond lengths. Er is bonded in a 12-coordinate geometry to twelve Mg and four equivalent Er atoms. There are one shorter (3.64 Å) and three longer (3.69 Å) Er–Er bond lengths.
Mg3Er is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a body-centered cubic geometry to four equivalent Mg and four equivalent Er atoms. All Mg–Mg bond lengths are 3.16 Å. All Mg–Er bond lengths are 3.16 Å. In the second Mg site, Mg is bonded in a distorted body-centered cubic geometry to eight equivalent Mg and six equivalent Er atoms. All Mg–Er bond lengths are 3.65 Å. Er is bonded in a distorted body-centered cubic geometry to fourteen Mg atoms.
Mg5Er crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two equivalent Er atoms. There are a spread of Mg–Mg bond distances ranging from 3.15–3.25 Å. Both Mg–Er bond lengths are 3.27 Å. In the second Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two equivalent Er atoms. There are a spread of Mg–Mg bond distances ranging from 3.15–3.28 Å. Both Mg–Er bond lengths are 3.25 Å. In the third Mg site, Mg is bonded to eleven Mg and one Er atom to form distorted MgErMg11 cuboctahedra that share corners with twelve MgErMg11 cuboctahedra, edges with four equivalent ErEr2Mg10 cuboctahedra, edges with five MgEr2Mg10 cuboctahedra, faces with four equivalent ErEr2Mg10 cuboctahedra, and faces with ten MgErMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.25–3.41 Å. The Mg–Er bond length is 3.31 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Er atoms to form MgEr2Mg10 cuboctahedra that share corners with six equivalent MgEr2Mg10 cuboctahedra, corners with six equivalent ErEr2Mg10 cuboctahedra, edges with three equivalent ErEr2Mg10 cuboctahedra, edges with eight MgErMg11 cuboctahedra, faces with three equivalent ErEr2Mg10 cuboctahedra, and faces with ten MgErMg11 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.25 Å) Mg–Mg bond lengths. Both Mg–Er bond lengths are 3.33 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Er atoms to form MgEr3Mg9 cuboctahedra that share corners with twelve MgErMg11 cuboctahedra, edges with two equivalent ErEr2Mg10 cuboctahedra, edges with nine MgErMg11 cuboctahedra, faces with five equivalent ErEr2Mg10 cuboctahedra, and faces with eight MgErMg11 cuboctahedra. Both Mg–Mg bond lengths are 3.25 Å. There are two shorter (3.35 Å) and one longer (3.40 Å) Mg–Er bond lengths. Er is bonded to ten Mg and two equivalent Er atoms to form ErEr2Mg10 cuboctahedra that share corners with six equivalent MgEr2Mg10 cuboctahedra, corners with six equivalent ErEr2Mg10 cuboctahedra, edges with nine MgErMg11 cuboctahedra, faces with two equivalent ErEr2Mg10 cuboctahedra, and faces with twelve MgErMg11 cuboctahedra. Both Er–Er bond lengths are 3.25 Å.
Mg5Er is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded to nine Mg and three equivalent Er atoms to form MgEr3Mg9 cuboctahedra that share corners with eighteen MgEr3Mg9 cuboctahedra, edges with six equivalent ErEr6Mg6 cuboctahedra, edges with twelve MgEr3Mg9 cuboctahedra, faces with six equivalent ErEr6Mg6 cuboctahedra, and faces with fourteen MgEr3Mg9 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.26 Å) Mg–Mg bond lengths. All Mg–Er bond lengths are 3.40 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with six equivalent ErEr6Mg6 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with eighteen MgEr3Mg9 cuboctahedra, a faceface with one ErEr6Mg6 cuboctahedra, and faces with nineteen MgEr3Mg9 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.26 Å) Mg–Mg bond lengths. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgEr3Mg9 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgEr3Mg9 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.26 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with six equivalent ErEr6Mg6 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with eighteen MgEr3Mg9 cuboctahedra, a faceface with one ErEr6Mg6 cuboctahedra, and faces with nineteen MgEr3Mg9 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.26 Å) Mg–Mg bond lengths. Er is bonded to six equivalent Mg and six equivalent Er atoms to form ErEr6Mg6 cuboctahedra that share corners with six equivalent ErEr6Mg6 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with six equivalent ErEr6Mg6 cuboctahedra, edges with twelve equivalent MgEr3Mg9 cuboctahedra, faces with six equivalent ErEr6Mg6 cuboctahedra, and faces with fourteen MgEr3Mg9 cuboctahedra. All Er–Er bond lengths are 3.26 Å.
MgEr3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Mg is bonded to twelve equivalent Er atoms to form MgEr12 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve equivalent ErEr8Mg4 cuboctahedra, edges with eighteen equivalent ErEr8Mg4 cuboctahedra, faces with eight equivalent MgEr12 cuboctahedra, and faces with twelve equivalent ErEr8Mg4 cuboctahedra. There are six shorter (3.38 Å) and six longer (3.48 Å) Mg–Er bond lengths. Er is bonded to four equivalent Mg and eight equivalent Er atoms to form ErEr8Mg4 cuboctahedra that share corners with four equivalent MgEr12 cuboctahedra, corners with fourteen equivalent ErEr8Mg4 cuboctahedra, edges with six equivalent MgEr12 cuboctahedra, edges with twelve equivalent ErEr8Mg4 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen equivalent ErEr8Mg4 cuboctahedra. There are a spread of Er–Er bond distances ranging from 3.42–3.54 Å.
MgEr5 crystallizes in the trigonal R32 space group. The structure is three-dimensional. Mg is bonded to twelve Er atoms to form MgEr12 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve ErEr9Mg3 cuboctahedra, edges with six equivalent MgEr12 cuboctahedra, edges with twelve ErEr10Mg2 cuboctahedra, and faces with twenty ErEr10Mg2 cuboctahedra. There are six shorter (3.41 Å) and six longer (3.51 Å) Mg–Er bond lengths. There are eleven inequivalent Er sites. In the first Er site, Er is bonded to two equivalent Mg and ten Er atoms to form ErEr10Mg2 cuboctahedra that share corners with eighteen ErEr10Mg2 cuboctahedra, edges with four equivalent MgEr12 cuboctahedra, edges with fourteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. There are a spread of Er–Er bond distances ranging from 3.40–3.55 Å. In the second Er site, Er is bonded to two equivalent Mg and ten Er atoms to form ErEr10Mg2 cuboctahedra that share corners with eighteen ErEr10Mg2 cuboctahedra, edges with four equivalent MgEr12 cuboctahedra, edges with fourteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. There are two shorter (3.40 Å) and two longer (3.45 Å) Er–Er bond lengths. In the third Er site, Er is bonded to three equivalent Mg and nine Er atoms to form ErEr9Mg3 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve ErEr9Mg3 cuboctahedra, edges with eighteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. There are two shorter (3.45 Å) and three longer (3.51 Å) Er–Er bond lengths. In the fourth Er site, Er is bonded to three equivalent Mg and nine Er atoms to form ErEr9Mg3 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve ErEr9Mg3 cuboctahedra, edges with eighteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. Both Er–Er bond lengths are 3.40 Å. In the fifth Er site, Er is bonded to two equivalent Mg and ten Er atoms to form ErEr10Mg2 cuboctahedra that share corners with eighteen ErEr10Mg2 cuboctahedra, edges with four equivalent MgEr12 cuboctahedra, edges with fourteen ErEr9Mg3 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. There are a spread of Er–Er bond distances ranging from 3.40–3.55 Å. In the sixth Er site, Er is bonded to two equivalent Mg and ten Er atoms to form ErEr10Mg2 cuboctahedra that share corners with eighteen ErEr10Mg2 cuboctahedra, edges with four equivalent MgEr12 cuboctahedra, edges with fourteen ErEr9Mg3 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. There are a spread of Er–Er bond distances ranging from 3.40–3.55 Å. In the seventh Er site, Er is bonded to two equivalent Mg and ten Er atoms to form ErEr10Mg2 cuboctahedra that share corners with eighteen ErEr10Mg2 cuboctahedra, edges with four equivalent MgEr12 cuboctahedra, edges with fourteen ErEr9Mg3 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. Both Er–Mg bond lengths are 3.41 Å. There are a spread of Er–Er bond distances ranging from 3.40–3.55 Å. In the eighth Er site, Er is bonded to three equivalent Mg and nine Er atoms to form ErEr9Mg3 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve ErEr9Mg3 cuboctahedra, edges with eighteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. All Er–Mg bond lengths are 3.51 Å. There are a spread of Er–Er bond distances ranging from 3.40–3.51 Å. In the ninth Er site, Er is bonded to three equivalent Mg and nine Er atoms to form ErEr9Mg3 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve ErEr9Mg3 cuboctahedra, edges with eighteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. All Er–Mg bond lengths are 3.51 Å. There are two shorter (3.40 Å) and one longer (3.45 Å) Er–Er bond lengths. In the tenth Er site, Er is bonded to two equivalent Mg and ten Er atoms to form ErEr10Mg2 cuboctahedra that share corners with eighteen ErEr10Mg2 cuboctahedra, edges with four equivalent MgEr12 cuboctahedra, edges with fourteen ErEr9Mg3 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. Both Er–Mg bond lengths are 3.41 Å. There are a spread of Er–Er bond distances ranging from 3.40–3.55 Å. In the eleventh Er site, Er is bonded to three equivalent Mg and nine Er atoms to form ErEr9Mg3 cuboctahedra that share corners with six equivalent MgEr12 cuboctahedra, corners with twelve ErEr9Mg3 cuboctahedra, edges with eighteen ErEr10Mg2 cuboctahedra, faces with four equivalent MgEr12 cuboctahedra, and faces with sixteen ErEr10Mg2 cuboctahedra. All Er–Mg bond lengths are 3.51 Å. All Er–Er bond lengths are 3.51 Å.