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HoCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Ho3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Ho–B bond lengths are 2.88 Å. Co1+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.09 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Ho3+ and six equivalent Co1+ atoms.
HoCo2B2 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ho3+ is bonded in a body-centered cubic geometry to eight equivalent B3- atoms. All Ho–B bond lengths are 2.87 Å. Co+1.50+ is bonded to four equivalent B3- atoms to form a mixture of edge and corner-sharing CoB4 tetrahedra. All Co–B bond lengths are 2.01 Å. B3- is bonded in a 4-coordinate geometry to four equivalent Ho3+ and four equivalent Co+1.50+ atoms.
Ho2Co7B3 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. there are three inequivalent Ho sites. In the first Ho site, Ho is bonded in a 12-coordinate geometry to two equivalent Ho, twelve equivalent Co, and six equivalent B atoms. Both Ho–Ho bond lengths are 3.06 Å. All Ho–Co bond lengths are 2.91 Å. All Ho–B bond lengths are 2.89 Å. In the second Ho site, Ho is bonded in a 6-coordinate geometry to one Ho, twelve Co, and six equivalent B atoms. There are six shorter (2.85 Å) and six longer (2.95 Å) Ho–Co bond lengths. All Ho–B bond lengths are 2.89 Å. In the third Ho site, Ho is bonded in a 6-coordinate geometry to six equivalent Co atoms. All Ho–Co bond lengths are 2.89 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded in a 12-coordinate geometry to three equivalent Ho and six equivalent Co atoms. All Co–Co bond lengths are 2.44 Å. In the second Co site, Co is bonded in a distorted square co-planar geometry to four Ho and four B atoms. All Co–B bond lengths are 2.07 Å. In the third Co site, Co is bonded in a distorted L-shaped geometry to two equivalent Ho, two equivalent Co, and two equivalent B atoms. Both Co–B bond lengths are 2.05 Å. There are two inequivalent B sites. In the first B site, B is bonded in a 6-coordinate geometry to three equivalent Ho and six Co atoms. In the second B site, B is bonded in a 6-coordinate geometry to three equivalent Ho and six equivalent Co atoms.
HoCoB4 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. Ho3+ is bonded in a 4-coordinate geometry to fourteen B+1.50- atoms. There are a spread of Ho–B bond distances ranging from 2.57–2.70 Å. Co3+ is bonded in a 10-coordinate geometry to ten B+1.50- atoms. There are a spread of Co–B bond distances ranging from 2.19–2.29 Å. There are four inequivalent B+1.50- sites. In the first B+1.50- site, B+1.50- is bonded in a 9-coordinate geometry to two equivalent Ho3+, four equivalent Co3+, and three B+1.50- atoms. There are a spread of B–B bond distances ranging from 1.68–1.73 Å. In the second B+1.50- site, B+1.50- is bonded in a 9-coordinate geometry to four equivalent Ho3+, two equivalent Co3+, and three B+1.50- atoms. There is one shorter (1.79 Å) and one longer (1.80 Å) B–B bond length. In the third B+1.50- site, B+1.50- is bonded in a 9-coordinate geometry to four equivalent Ho3+, two equivalent Co3+, and three B+1.50- atoms. There is one shorter (1.80 Å) and one longer (1.82 Å) B–B bond length. In the fourth B+1.50- site, B+1.50- is bonded in a 9-coordinate geometry to four equivalent Ho3+, two equivalent Co3+, and three B+1.50- atoms.
Ho(Co2B)6 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Ho3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Ho–B bond lengths are 3.03 Å. There are two inequivalent Co+1.25+ sites. In the first Co+1.25+ site, Co+1.25+ is bonded in a T-shaped geometry to three equivalent B3- atoms. There are one shorter (2.10 Å) and two longer (2.11 Å) Co–B bond lengths. In the second Co+1.25+ site, Co+1.25+ is bonded to four equivalent B3- atoms to form a mixture of distorted edge and corner-sharing CoB4 trigonal pyramids. There are two shorter (2.02 Å) and two longer (2.04 Å) Co–B bond lengths. B3- is bonded in a 7-coordinate geometry to one Ho3+ and seven Co+1.25+ atoms.
Ho4CoB13 crystallizes in the tetragonal P4/mnc space group. The structure is three-dimensional. Ho3+ is bonded in a 6-coordinate geometry to fifteen B+1.15- atoms. There are a spread of Ho–B bond distances ranging from 2.56–2.89 Å. Co3+ is bonded in a 8-coordinate geometry to eight equivalent B+1.15- atoms. All Co–B bond lengths are 2.16 Å. There are three inequivalent B+1.15- sites. In the first B+1.15- site, B+1.15- is bonded in a cuboctahedral geometry to four equivalent Ho3+ and eight equivalent B+1.15- atoms. All B–B bond lengths are 2.11 Å. In the second B+1.15- site, B+1.15- is bonded in a 3-coordinate geometry to six equivalent Ho3+ and three B+1.15- atoms. There is two shorter (1.78 Å) and one longer (1.87 Å) B–B bond length. In the third B+1.15- site, B+1.15- is bonded in a 9-coordinate geometry to four equivalent Ho3+, one Co3+, and four B+1.15- atoms. Both B–B bond lengths are 1.80 Å.