Correlates of physical activity in fifth-grade students in Ho Chi Minh City, Vietnam
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Cation off-centering is crystallography frustrated in the pyrochlore but exhibits local ordering.
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The fractionalization of magnetic dipoles into monopoles is revealed through a crossover in the relaxation dynamics of spin ice.
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SrHo31Al2Si14N13O59 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Sr is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Sr–O bond distances ranging from 2.32–2.71 Å. There are thirty-one inequivalent Ho sites. In the first Ho site, Ho is bonded in a 6-coordinate geometry to one N and five O atoms. The Ho–N bond length is 2.27 Å. There are a spread of Ho–O bond distances ranging from 2.12–2.65 Å. In the second Ho site, Ho is bonded in a 7-coordinate geometry to one N and six O atoms. The Ho–N bond length is 2.63 Å. There are a spread of Ho–O bond distances ranging from 2.18–2.46 Å. In the third Ho site, Ho is bonded in a 8-coordinate geometry to one N and seven O atoms. The Ho–N bond length is 2.63 Å. There are a spread of Ho–O bond distances ranging from 2.21–3.07 Å. In the fourth Ho site, Ho is bonded in a 6-coordinate geometry to one N and five O atoms. The Ho–N bond length is 2.81 Å. There are a spread of Ho–O bond distances ranging from 2.21–2.46 Å. In the fifth Ho site, Ho is bonded in a 7-coordinate geometry to one N and five O atoms. The Ho–N bond length is 2.25 Å. There are a spread of Ho–O bond distances ranging from 2.18–2.61 Å. In the sixth Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.14–2.47 Å. In the seventh Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.16–2.60 Å. In the eighth Ho site, Ho is bonded in a 7-coordinate geometry to one N and six O atoms. The Ho–N bond length is 2.65 Å. There are a spread of Ho–O bond distances ranging from 2.19–2.54 Å. In the ninth Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.22–2.65 Å. In the tenth Ho site, Ho is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ho–O bond distances ranging from 2.13–2.28 Å. In the eleventh Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.23–2.60 Å. In the twelfth Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.19–2.51 Å. In the thirteenth Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.18–2.44 Å. In the fourteenth Ho site, Ho is bonded in a 8-coordinate geometry to one N and seven O atoms. The Ho–N bond length is 2.64 Å. There are a spread of Ho–O bond distances ranging from 2.21–2.82 Å. In the fifteenth Ho site, Ho is bonded in a 5-coordinate geometry to one N and four O atoms. The Ho–N bond length is 2.43 Å. There are a spread of Ho–O bond distances ranging from 2.19–2.31 Å. In the sixteenth Ho site, Ho is bonded in a 6-coordinate geometry to two N and four O atoms. There are one shorter (2.17 Å) and one longer (2.39 Å) Ho–N bond lengths. There are a spread of Ho–O bond distances ranging from 2.19–2.71 Å. In the seventeenth Ho site, Ho is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Ho–O bond distances ranging from 2.09–2.35 Å. In the eighteenth Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.21–2.64 Å. In the nineteenth Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.12–2.92 Å. In the twentieth Ho site, Ho is bonded in a 7-coordinate geometry to one N and six O atoms. The Ho–N bond length is 2.27 Å. There are a spread of Ho–O bond distances ranging from 2.17–3.08 Å. In the twenty-first Ho site, Ho is bonded in a 4-coordinate geometry to two N and three O atoms. There are one shorter (2.33 Å) and one longer (2.87 Å) Ho–N bond lengths. There are a spread of Ho–O bond distances ranging from 2.05–2.40 Å. In the twenty-second Ho site, Ho is bonded in a 6-coordinate geometry to three N and three O atoms. There are one shorter (2.40 Å) and two longer (2.41 Å) Ho–N bond lengths. There are two shorter (2.21 Å) and one longer (2.61 Å) Ho–O bond lengths. In the twenty-third Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.21–2.75 Å. In the twenty-fourth Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.15–2.79 Å. In the twenty-fifth Ho site, Ho is bonded in a 6-coordinate geometry to one N and five O atoms. The Ho–N bond length is 2.39 Å. There are a spread of Ho–O bond distances ranging from 2.18–2.48 Å. In the twenty-sixth Ho site, Ho is bonded in a 6-coordinate geometry to one N and five O atoms. The Ho–N bond length is 2.33 Å. There are a spread of Ho–O bond distances ranging from 2.18–2.54 Å. In the twenty-seventh Ho site, Ho is bonded in a 7-coordinate geometry to two N and five O atoms. There are one shorter (2.34 Å) and one longer (2.73 Å) Ho–N bond lengths. There are a spread of Ho–O bond distances ranging from 2.18–2.75 Å. In the twenty-eighth Ho site, Ho is bonded to one N and six O atoms to form distorted HoNO6 pentagonal bipyramids that share a cornercorner with one SiNO3 tetrahedra, a cornercorner with one OHo3N tetrahedra, and an edgeedge with one SiNO3 tetrahedra. The Ho–N bond length is 2.40 Å. There are a spread of Ho–O bond distances ranging from 2.20–2.60 Å. In the twenty-ninth Ho site, Ho is bonded in a 7-coordinate geometry to two N and five O atoms. There are one shorter (2.52 Å) and one longer (2.60 Å) Ho–N bond lengths. There are a spread of Ho–O bond distances ranging from 2.29–2.44 Å. In the thirtieth Ho site, Ho is bonded in a 7-coordinate geometry to four N and four O atoms. There are a spread of Ho–N bond distances ranging from 2.20–3.13 Å. There are a spread of Ho–O bond distances ranging from 2.21–2.76 Å. In the thirty-first Ho site, Ho is bonded in a 3-coordinate geometry to one N and three O atoms. The Ho–N bond length is 2.53 Å. There are one shorter (2.08 Å) and two longer (2.13 Å) Ho–O bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded to one N and three O atoms to form AlNO3 tetrahedra that share corners with two SiNO3 tetrahedra. The Al–N bond length is 1.84 Å. There are a spread of Al–O bond distances ranging from 1.77–1.85 Å. In the second Al site, Al is bonded in a tetrahedral geometry to one N and three O atoms. The Al–N bond length is 1.89 Å. There is two shorter (1.77 Å) and one longer (1.81 Å) Al–O bond length. There are fourteen inequivalent Si sites. In the first Si site, Si is bonded in a distorted trigonal non-coplanar geometry to one N and two O atoms. The Si–N bond length is 1.71 Å. There is one shorter (1.68 Å) and one longer (1.73 Å) Si–O bond length. In the second Si site, Si is bonded to one N and three O atoms to form SiNO3 tetrahedra that share an edgeedge with one HoNO6 pentagonal bipyramid. The Si–N bond length is 1.73 Å. There is two shorter (1.66 Å) and one longer (1.68 Å) Si–O bond length. In the third Si site, Si is bonded to two N and two O atoms to form corner-sharing SiN2O2 tetrahedra. There is one shorter (1.73 Å) and one longer (1.75 Å) Si–N bond length. There is one shorter (1.64 Å) and one longer (1.69 Å) Si–O bond length. In the fourth Si site, Si is bonded to one N and three O atoms to form edge-sharing SiNO3 tetrahedra. The Si–N bond length is 1.72 Å. There are a spread of Si–O bond distances ranging from 1.64–1.72 Å. In the fifth Si site, Si is bonded in a distorted trigonal non-coplanar geometry to one N and two O atoms. The Si–N bond length is 1.80 Å. There is one shorter (1.69 Å) and one longer (1.73 Å) Si–O bond length. In the sixth Si site, Si is bonded to two N and two O atoms to form corner-sharing SiN2O2 tetrahedra. There is one shorter (1.70 Å) and one longer (1.74 Å) Si–N bond length. There is one shorter (1.65 Å) and one longer (1.68 Å) Si–O bond length. In the seventh Si site, Si is bonded to one N and three O atoms to form corner-sharing SiNO3 tetrahedra. The Si–N bond length is 1.74 Å. There are a spread of Si–O bond distances ranging from 1.62–1.72 Å. In the eighth Si site, Si is bonded in a trigonal non-coplanar geometry to three O atoms. All Si–O bond lengths are 1.66 Å. In the ninth Si site, Si is bonded in a distorted trigonal planar geometry to two N and one O atom. There is one shorter (1.63 Å) and one longer (1.66 Å) Si–N bond length. The Si–O bond length is 1.63 Å. In the tenth Si site, Si is bonded to one N and three O atoms to form corner-sharing SiNO3 tetrahedra. The Si–N bond length is 1.71 Å. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the eleventh Si site, Si is bonded to two N and two O atoms to form SiN2O2 tetrahedra that share a cornercorner with one AlNO3 tetrahedra and an edgeedge with one SiNO3 tetrahedra. There is one shorter (1.65 Å) and one longer (1.74 Å) Si–N bond length. There is one shorter (1.73 Å) and one longer (1.74 Å) Si–O bond length. In the twelfth Si site, Si is bonded to one N and three O atoms to form SiNO3 tetrahedra that share a cornercorner with one AlNO3 tetrahedra and a cornercorner with one SiNO3 tetrahedra. The Si–N bond length is 1.71 Å. There are a spread of Si–O bond distances ranging from 1.66–1.70 Å. In the thirteenth Si site, Si is bonded to one N and three O atoms to form SiNO3 tetrahedra that share a cornercorner with one HoNO6 pentagonal bipyramid and a cornercorner with one SiN2O2 tetrahedra. The Si–N bond length is 1.72 Å. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the fourteenth Si site, Si is bonded in a trigonal non-coplanar geometry to two N and one O atom. Both Si–N bond lengths are 1.81 Å. The Si–O bond length is 1.70 Å. There are thirteen inequivalent N sites. In the first N site, N is bonded in a 2-coordinate geometry to one Ho and two Si atoms. In the second N site, N is bonded in a distorted T-shaped geometry to one Ho and two Si atoms. In the third N site, N is bonded in a distorted water-like geometry to two Ho, one Al, and one Si atom. In the fourth N site, N is bonded in a 4-coordinate geometry to two Ho and two Si atoms. In the fifth N site, N is bonded in a 4-coordinate geometry to three Ho and one Si atom. In the sixth N site, N is bonded in a 4-coordinate geometry to two Ho, one Si, and one O atom. The N–O bond length is 1.49 Å. In the seventh N site, N is bonded to three Ho and one Si atom to form distorted NHo3Si tetrahedra that share a cornercorner with one NHo3Si tetrahedra, a cornercorner with one OHo3Si trigonal pyramid, and an edgeedge with one OSrHo2Si trigonal pyramid. In the eighth N site, N is bonded to three Ho and one Si atom to form distorted NHo3Si tetrahedra that share a cornercorner with one NHo3Si tetrahedra, a cornercorner with one OHo4 tetrahedra, and a cornercorner with one OHo3Si trigonal pyramid. In the ninth N site, N is bonded in a 4-coordinate geometry to two Ho and two Si atoms. In the tenth N site, N is bonded in a 4-coordinate geometry to two Ho, one Si, and one O atom. The N–O bond length is 1.49 Å. In the eleventh N site, N is bonded in a 5-coordinate geometry to three Ho, one Al, and one Si atom. In the twelfth N site, N is bonded in a 2-coordinate geometry to three Ho, one Si, and one O atom. The N–O bond length is 1.53 Å. In the thirteenth N site, N is bonded in a distorted water-like geometry to one Ho and two Si atoms. There are fifty-nine inequivalent O sites. In the first O site, O is bonded in a 4-coordinate geometry to one Sr, two Ho, and one Si atom. In the second O site, O is bonded to one Sr, two Ho, and one Si atom to form distorted OSrHo2Si trigonal pyramids that share an edgeedge with one NHo3Si tetrahedra and an edgeedge with one OHo3Si trigonal pyramid. In the third O site, O is bonded to three Ho and one Si atom to form distorted O
Mg3Ho7Rh2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a 1-coordinate geometry to two Mg, nine Ho, and two Rh atoms. Both Mg–Mg bond lengths are 3.24 Å. There are a spread of Mg–Ho bond distances ranging from 3.48–3.60 Å. There are one shorter (3.49 Å) and one longer (3.52 Å) Mg–Rh bond lengths. In the second Mg site, Mg is bonded to three Mg and nine Ho atoms to form a mixture of face and corner-sharing MgHo9Mg3 cuboctahedra. There are two shorter (3.07 Å) and one longer (3.11 Å) Mg–Mg bond lengths. There are a spread of Mg–Ho bond distances ranging from 3.28–3.50 Å. In the third Mg site, Mg is bonded to four Mg and eight Ho atoms to form a mixture of face and corner-sharing MgHo8Mg4 cuboctahedra. There are one shorter (3.09 Å) and one longer (3.15 Å) Mg–Mg bond lengths. There are a spread of Mg–Ho bond distances ranging from 3.26–3.53 Å. In the fourth Mg site, Mg is bonded to five Mg and seven Ho atoms to form a mixture of face and corner-sharing MgHo7Mg5 cuboctahedra. There are a spread of Mg–Ho bond distances ranging from 3.22–3.50 Å. There are ten inequivalent Ho sites. In the first Ho site, Ho is bonded in a 3-coordinate geometry to three Mg, three Ho, and three Rh atoms. There are one shorter (3.47 Å) and two longer (3.48 Å) Ho–Ho bond lengths. There are two shorter (2.79 Å) and one longer (2.83 Å) Ho–Rh bond lengths. In the second Ho site, Ho is bonded in a 3-coordinate geometry to four Mg, two Ho, and three Rh atoms. There are one shorter (3.50 Å) and one longer (3.51 Å) Ho–Ho bond lengths. There are a spread of Ho–Rh bond distances ranging from 2.78–2.83 Å. In the third Ho site, Ho is bonded in a 3-coordinate geometry to five Mg, one Ho, and three Rh atoms. The Ho–Ho bond length is 3.52 Å. There are one shorter (2.80 Å) and two longer (2.82 Å) Ho–Rh bond lengths. In the fourth Ho site, Ho is bonded in a 4-coordinate geometry to four Mg, eight Ho, and two equivalent Rh atoms. There are four shorter (3.59 Å) and two longer (3.62 Å) Ho–Ho bond lengths. Both Ho–Rh bond lengths are 3.46 Å. In the fifth Ho site, Ho is bonded in a 4-coordinate geometry to three Mg, nine Ho, and two Rh atoms. There are a spread of Ho–Ho bond distances ranging from 3.56–3.63 Å. There are one shorter (3.48 Å) and one longer (3.49 Å) Ho–Rh bond lengths. In the sixth Ho site, Ho is bonded in a 4-coordinate geometry to four Mg, eight Ho, and two Rh atoms. There are two shorter (3.60 Å) and two longer (3.62 Å) Ho–Ho bond lengths. There are one shorter (3.47 Å) and one longer (3.49 Å) Ho–Rh bond lengths. In the seventh Ho site, Ho is bonded in a bent 150 degrees geometry to four Mg, two equivalent Ho, and two Rh atoms. There are one shorter (2.80 Å) and one longer (2.81 Å) Ho–Rh bond lengths. In the eighth Ho site, Ho is bonded in a bent 150 degrees geometry to three Mg, three Ho, and two Rh atoms. Both Ho–Rh bond lengths are 2.77 Å. In the ninth Ho site, Ho is bonded in a bent 150 degrees geometry to four Mg, two equivalent Ho, and two equivalent Rh atoms. Both Ho–Rh bond lengths are 2.80 Å. In the tenth Ho site, Ho is bonded in a bent 150 degrees geometry to three Mg, three Ho, and two Rh atoms. There are one shorter (2.78 Å) and one longer (2.79 Å) Ho–Rh bond lengths. There are three inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to two equivalent Mg and seven Ho atoms. In the second Rh site, Rh is bonded in a 6-coordinate geometry to one Mg and eight Ho atoms. In the third Rh site, Rh is bonded in a 6-coordinate geometry to nine Ho atoms.
Ho3Si4 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Ho sites. In the first Ho site, Ho is bonded to twelve Si atoms to form a mixture of distorted face and edge-sharing HoSi12 cuboctahedra. There are a spread of Ho–Si bond distances ranging from 2.97–3.30 Å. In the second Ho site, Ho is bonded to eight Si atoms to form a mixture of distorted face, edge, and corner-sharing HoSi8 hexagonal bipyramids. There are a spread of Ho–Si bond distances ranging from 2.99–3.16 Å. In the third Ho site, Ho is bonded to eight Si atoms to form a mixture of distorted face, edge, and corner-sharing HoSi8 hexagonal bipyramids. There are a spread of Ho–Si bond distances ranging from 2.99–3.15 Å. In the fourth Ho site, Ho is bonded in a 10-coordinate geometry to ten Si atoms. There are a spread of Ho–Si bond distances ranging from 3.00–3.32 Å. In the fifth Ho site, Ho is bonded in a 10-coordinate geometry to ten Si atoms. There are a spread of Ho–Si bond distances ranging from 3.00–3.33 Å. In the sixth Ho site, Ho is bonded to twelve Si atoms to form a mixture of distorted face and edge-sharing HoSi12 cuboctahedra. There are a spread of Ho–Si bond distances ranging from 2.97–3.30 Å. In the seventh Ho site, Ho is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Ho–Si bond distances ranging from 2.90–3.03 Å. In the eighth Ho site, Ho is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Ho–Si bond distances ranging from 2.89–3.09 Å. In the ninth Ho site, Ho is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Ho–Si bond distances ranging from 2.80–3.04 Å. In the tenth Ho site, Ho is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Ho–Si bond distances ranging from 2.81–2.98 Å. In the eleventh Ho site, Ho is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Ho–Si bond distances ranging from 2.91–3.01 Å. In the twelfth Ho site, Ho is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Ho–Si bond distances ranging from 2.91–3.02 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Ho and two equivalent Si atoms. Both Si–Si bond lengths are 2.35 Å. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Ho and two equivalent Si atoms. There are one shorter (2.42 Å) and one longer (2.43 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 9-coordinate geometry to seven Ho and two equivalent Si atoms. Both Si–Si bond lengths are 2.43 Å. In the fourth Si site, Si is bonded in a 9-coordinate geometry to seven Ho and two equivalent Si atoms. There are one shorter (2.43 Å) and one longer (2.48 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 9-coordinate geometry to seven Ho and two equivalent Si atoms. There are one shorter (2.43 Å) and one longer (2.49 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 9-coordinate geometry to seven Ho and two equivalent Si atoms. Both Si–Si bond lengths are 2.35 Å. In the seventh Si site, Si is bonded in a 9-coordinate geometry to six Ho and three Si atoms. The Si–Si bond length is 2.33 Å. In the eighth Si site, Si is bonded in a 9-coordinate geometry to six Ho and three Si atoms. The Si–Si bond length is 2.33 Å. In the ninth Si site, Si is bonded in a 9-coordinate geometry to six Ho and three Si atoms. The Si–Si bond length is 2.36 Å. In the tenth Si site, Si is bonded in a 9-coordinate geometry to six Ho and three Si atoms. The Si–Si bond length is 2.36 Å. In the eleventh Si site, Si is bonded in a 8-coordinate geometry to six Ho and two equivalent Si atoms. In the twelfth Si site, Si is bonded in a 8-coordinate geometry to six Ho and two equivalent Si atoms. In the thirteenth Si site, Si is bonded in a 7-coordinate geometry to six Ho and one Si atom. In the fourteenth Si site, Si is bonded in a 7-coordinate geometry to six Ho and one Si atom. In the fifteenth Si site, Si is bonded in a 9-coordinate geometry to six Ho and three Si atoms. There are one shorter (2.22 Å) and one longer (2.23 Å) Si–Si bond lengths. In the sixteenth Si site, Si is bonded in a 9-coordinate geometry to six Ho and three Si atoms.
Ho9B4O19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Ho sites. In the first Ho site, Ho is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ho–O bond distances ranging from 2.26–2.35 Å. In the second Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.22–2.56 Å. In the third Ho site, Ho is bonded to seven O atoms to form distorted edge-sharing HoO7 pentagonal bipyramids. There are a spread of Ho–O bond distances ranging from 2.20–2.52 Å. In the fourth Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.58 Å. In the fifth Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.58 Å. In the sixth Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.16–2.62 Å. In the seventh Ho site, Ho is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ho–O bond distances ranging from 2.17–2.58 Å. In the eighth Ho site, Ho is bonded to seven O atoms to form distorted edge-sharing HoO7 pentagonal bipyramids. There are a spread of Ho–O bond distances ranging from 2.26–2.50 Å. In the ninth Ho site, Ho is bonded to seven O atoms to form distorted edge-sharing HoO7 pentagonal bipyramids. There are a spread of Ho–O bond distances ranging from 2.26–2.50 Å. There are four inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. There are nineteen inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to three Ho and one B atom. In the second O site, O is bonded in a distorted single-bond geometry to three Ho and one B atom. In the third O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the fourth O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the fifth O site, O is bonded in a 1-coordinate geometry to three Ho and one B atom. In the sixth O site, O is bonded in a 1-coordinate geometry to three Ho and one B atom. In the seventh O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the eighth O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the ninth O site, O is bonded in a 1-coordinate geometry to three Ho and one B atom. In the tenth O site, O is bonded in a 1-coordinate geometry to three Ho and one B atom. In the eleventh O site, O is bonded in a distorted single-bond geometry to three Ho and one B atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to three Ho and one B atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to two Ho and one B atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to three Ho and one B atom. In the fifteenth O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the sixteenth O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the seventeenth O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the eighteenth O site, O is bonded to four Ho atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Ho and two B atoms.
Ho4Ni10Ga21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ho sites. In the first Ho site, Ho is bonded in a 7-coordinate geometry to four Ni and nine Ga atoms. There are two shorter (3.13 Å) and two longer (3.15 Å) Ho–Ni bond lengths. There are a spread of Ho–Ga bond distances ranging from 2.88–3.21 Å. In the second Ho site, Ho is bonded in a 2-coordinate geometry to four Ni and eleven Ga atoms. There are a spread of Ho–Ni bond distances ranging from 2.98–3.14 Å. There are a spread of Ho–Ga bond distances ranging from 2.86–3.40 Å. In the third Ho site, Ho is bonded in a 2-coordinate geometry to four Ni and eleven Ga atoms. There are a spread of Ho–Ni bond distances ranging from 2.98–3.15 Å. There are a spread of Ho–Ga bond distances ranging from 2.86–3.41 Å. In the fourth Ho site, Ho is bonded in a 7-coordinate geometry to four Ni and nine Ga atoms. There are a spread of Ho–Ni bond distances ranging from 3.11–3.15 Å. There are a spread of Ho–Ga bond distances ranging from 2.89–3.20 Å. There are ten inequivalent Ni sites. In the first Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. The Ni–Ni bond length is 2.72 Å. There are a spread of Ni–Ga bond distances ranging from 2.38–2.57 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to nine Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.61 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to nine Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.60 Å. In the fourth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. The Ni–Ni bond length is 2.74 Å. There are a spread of Ni–Ga bond distances ranging from 2.47–2.56 Å. In the fifth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho and eight Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.46–2.70 Å. In the sixth Ni site, Ni is bonded in a 7-coordinate geometry to two equivalent Ho and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.36–2.62 Å. In the seventh Ni site, Ni is bonded in a 7-coordinate geometry to two equivalent Ho and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.36–2.62 Å. In the eighth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho and eight Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.71 Å. In the ninth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.47–2.55 Å. In the tenth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Ho, one Ni, and seven Ga atoms. There are a spread of Ni–Ga bond distances ranging from 2.39–2.57 Å. There are twenty-one inequivalent Ga sites. In the first Ga site, Ga is bonded in a 1-coordinate geometry to one Ho, three Ni, and two equivalent Ga atoms. There are one shorter (2.91 Å) and one longer (2.92 Å) Ga–Ga bond lengths. In the second Ga site, Ga is bonded in a 11-coordinate geometry to one Ho, four Ni, and six Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.70–2.89 Å. In the third Ga site, Ga is bonded in a 5-coordinate geometry to two equivalent Ho, three Ni, and one Ga atom. The Ga–Ga bond length is 2.66 Å. In the fourth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, three Ni, and one Ga atom. The Ga–Ga bond length is 2.68 Å. In the fifth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.82–2.93 Å. In the sixth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.82–2.93 Å. In the seventh Ga site, Ga is bonded in a 5-coordinate geometry to two equivalent Ho, three Ni, and two Ga atoms. There are one shorter (2.66 Å) and one longer (2.87 Å) Ga–Ga bond lengths. In the eighth Ga site, Ga is bonded in a 10-coordinate geometry to one Ho, four Ni, and five Ga atoms. There are one shorter (2.73 Å) and one longer (2.74 Å) Ga–Ga bond lengths. In the ninth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.81–2.94 Å. In the tenth Ga site, Ga is bonded in a 10-coordinate geometry to three Ho, three Ni, and four Ga atoms. In the eleventh Ga site, Ga is bonded in a 11-coordinate geometry to one Ho, four Ni, and six Ga atoms. The Ga–Ga bond length is 2.89 Å. In the twelfth Ga site, Ga is bonded in a 5-coordinate geometry to one Ho, five Ni, and two Ga atoms. In the thirteenth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho, four Ni, and five Ga atoms. There are one shorter (2.81 Å) and two longer (2.87 Å) Ga–Ga bond lengths. In the fourteenth Ga site, Ga is bonded in a 5-coordinate geometry to one Ho, five Ni, and two Ga atoms. In the fifteenth Ga site, Ga is bonded in a 12-coordinate geometry to four Ni and eight Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.57–2.93 Å. In the sixteenth Ga site, Ga is bonded in a 12-coordinate geometry to two equivalent Ho, three Ni, and one Ga atom. In the seventeenth Ga site, Ga is bonded in a 1-coordinate geometry to one Ho, three Ni, and two equivalent Ga atoms. In the eighteenth Ga site, Ga is bonded in a 12-coordinate geometry to three Ho and three Ni atoms. In the nineteenth Ga site, Ga is bonded in a 12-coordinate geometry to two equivalent Ho, three Ni, and one Ga atom. In the twentieth Ga site, Ga is bonded in a 10-coordinate geometry to one Ho, four Ni, and five Ga atoms. In the twenty-first Ga site, Ga is bonded in a 10-coordinate geometry to three Ho, three Ni, and two equivalent Ga atoms.