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Theoretical Studies of the HO/HO2 Catalytic Cycle for Ozone Destruction

Recently it has been determined that the HO/HO2 catalytic cycle accounts for nearly one-half of the total ozone depletion in the lower stratosphere. The catalytic cycle is: (1) HO + O3 yields HO2 + O2; (2) HO2 + O3 yields HO + O2 + O2. The net reaction is 2O3 yields 3O2. The rate limiting step in this process is the reaction of HO2 with ozone. There is a problem extending the experimental measurement of the rate of this reaction over the range 233-400 K down to stratospheric temperatures of 210-220 K. Therefore we have undertaken a project to determine the temperature dependence of the rate constant for this reaction in the low temperature region. The first step in this project, which is described in this poster, is the determination of the relevant potential energy surfaces. The calculations use CASSCF/derivative methods to define the pathways followed by CASSCF/ACPF to determine the energetics. The HO + O3 reaction is found to proceed through an HO4 complex, which is unstable with respect to HO2 + O2. The HO2 +O3 reaction is more complex. One pathway, which has been characterized, is the formation of an HO5 complex which decomposes to HO3 + O2 and subsequently to HO + O2 + O2. Another pathway, which is believed to also play a role, is hydrogen abstraction to give O2 + HO3 and subsequent decomposition of HO3 to HO + O2. Isotopic labeling experiments indicate that the later pathway is dominant. However, so far attempts to locate the saddle point for this pathway have not been successful. We have also characterized the potential energy surfaces for a number of species involved in these reactions, including HO3 and triplet O4. The triplet O4 species is probably involved in the reaction of vibrationally excited O2 with ground state O2 leading to O3 + O. The latter reaction is believed to be important as an additional source of stratospheric ozone.

Walch, Stephen P.↗

Materials Data on Ho2Sb5 by Materials Project

Ho2Sb5 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Sb+1.20- atoms. There are a spread of Ho–Sb bond distances ranging from 3.09–3.35 Å. In the second Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Sb+1.20- atoms. There are a spread of Ho–Sb bond distances ranging from 3.12–3.31 Å. In the third Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to nine Sb+1.20- atoms. There are a spread of Ho–Sb bond distances ranging from 3.17–3.31 Å. In the fourth Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to ten Sb+1.20- atoms. There are a spread of Ho–Sb bond distances ranging from 3.18–3.91 Å. There are ten inequivalent Sb+1.20- sites. In the first Sb+1.20- site, Sb+1.20- is bonded in a 7-coordinate geometry to three Ho3+ and four Sb+1.20- atoms. There are two shorter (3.01 Å) and two longer (3.15 Å) Sb–Sb bond lengths. In the second Sb+1.20- site, Sb+1.20- is bonded in a 7-coordinate geometry to five Ho3+ and two equivalent Sb+1.20- atoms. Both Sb–Sb bond lengths are 3.16 Å. In the third Sb+1.20- site, Sb+1.20- is bonded in a 6-coordinate geometry to three Ho3+ and three Sb+1.20- atoms. There are one shorter (2.89 Å) and two longer (3.03 Å) Sb–Sb bond lengths. In the fourth Sb+1.20- site, Sb+1.20- is bonded in a 8-coordinate geometry to four Ho3+ and four Sb+1.20- atoms. There are two shorter (2.94 Å) and two longer (3.18 Å) Sb–Sb bond lengths. In the fifth Sb+1.20- site, Sb+1.20- is bonded in a 7-coordinate geometry to one Ho3+ and six Sb+1.20- atoms. There are two shorter (3.38 Å) and one longer (3.39 Å) Sb–Sb bond lengths. In the sixth Sb+1.20- site, Sb+1.20- is bonded in a 8-coordinate geometry to four Ho3+ and four Sb+1.20- atoms. In the seventh Sb+1.20- site, Sb+1.20- is bonded in a 6-coordinate geometry to three Ho3+ and three Sb+1.20- atoms. In the eighth Sb+1.20- site, Sb+1.20- is bonded in a 8-coordinate geometry to four Ho3+ and four Sb+1.20- atoms. Both Sb–Sb bond lengths are 3.00 Å. In the ninth Sb+1.20- site, Sb+1.20- is bonded to six Ho3+ atoms to form distorted face-sharing SbHo6 pentagonal pyramids. In the tenth Sb+1.20- site, Sb+1.20- is bonded in a 8-coordinate geometry to four Ho3+ and four Sb+1.20- atoms. Both Sb–Sb bond lengths are 3.05 Å.

36 MATERIALS SCIENCE↗

Materials Data on HoCd3 by Materials Project

HoCd3 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Ho is bonded in a 12-coordinate geometry to twelve Cd atoms. There are a spread of Ho–Cd bond distances ranging from 3.20–3.63 Å. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded in a 12-coordinate geometry to four equivalent Ho and eight equivalent Cd atoms. There are a spread of Cd–Cd bond distances ranging from 3.02–3.34 Å. In the second Cd site, Cd is bonded in a 11-coordinate geometry to four equivalent Ho and seven Cd atoms. There are one shorter (3.09 Å) and two longer (3.21 Å) Cd–Cd bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ho4C7 by Materials Project

Ho4C7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six C+1.71- atoms to form distorted HoC6 octahedra that share corners with two equivalent HoC7 octahedra and edges with seven HoC6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ho–C bond distances ranging from 2.49–2.66 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight C+1.71- atoms. There are a spread of Ho–C bond distances ranging from 2.42–2.66 Å. In the third Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to nine C+1.71- atoms. There are a spread of Ho–C bond distances ranging from 2.39–2.92 Å. In the fourth Ho3+ site, Ho3+ is bonded to seven C+1.71- atoms to form distorted HoC7 octahedra that share corners with two equivalent HoC6 octahedra, corners with two CHo4C trigonal bipyramids, and edges with five HoC6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ho–C bond distances ranging from 2.44–3.06 Å. There are seven inequivalent C+1.71- sites. In the first C+1.71- site, C+1.71- is bonded to five Ho3+ and one C+1.71- atom to form distorted CHo5C octahedra that share corners with six CHo4C trigonal bipyramids, edges with four CHo5C octahedra, and edges with three CHo4C trigonal bipyramids. The C–C bond length is 1.35 Å. In the second C+1.71- site, C+1.71- is bonded in a 6-coordinate geometry to four Ho3+ and two C+1.71- atoms. Both C–C bond lengths are 1.33 Å. In the third C+1.71- site, C+1.71- is bonded in a 4-coordinate geometry to three Ho3+ and two C+1.71- atoms. The C–C bond length is 1.31 Å. In the fourth C+1.71- site, C+1.71- is bonded to six Ho3+ atoms to form CHo6 octahedra that share corners with three CHo4C trigonal bipyramids, edges with six CHo5C octahedra, and edges with three CHo4C trigonal bipyramids. In the fifth C+1.71- site, C+1.71- is bonded in a 4-coordinate geometry to four Ho3+ and one C+1.71- atom. In the sixth C+1.71- site, C+1.71- is bonded to four Ho3+ and one C+1.71- atom to form distorted CHo4C trigonal bipyramids that share a cornercorner with one HoC7 octahedra, corners with four CHo5C octahedra, corners with five CHo4C trigonal bipyramids, edges with three CHo5C octahedra, and an edgeedge with one CHo4C trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–116°. In the seventh C+1.71- site, C+1.71- is bonded to four Ho3+ and one C+1.71- atom to form distorted CHo4C trigonal bipyramids that share a cornercorner with one HoC7 octahedra, corners with five CHo5C octahedra, corners with five CHo4C trigonal bipyramids, and edges with three CHo6 octahedra. The corner-sharing octahedra tilt angles range from 2–96°.

36 MATERIALS SCIENCE↗

Materials Data on HoIn5Rh by Materials Project

HoRhIn5 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ho is bonded to twelve In atoms to form HoIn12 cuboctahedra that share corners with four equivalent HoIn12 cuboctahedra, faces with four equivalent HoIn12 cuboctahedra, and faces with four equivalent InHo4In8 cuboctahedra. There are eight shorter (3.25 Å) and four longer (3.29 Å) Ho–In bond lengths. Rh is bonded in a body-centered cubic geometry to eight equivalent In atoms. All Rh–In bond lengths are 2.77 Å. There are two inequivalent In sites. In the first In site, In is bonded to four equivalent Ho and eight equivalent In atoms to form distorted InHo4In8 cuboctahedra that share corners with four equivalent InHo4In8 cuboctahedra, faces with four equivalent HoIn12 cuboctahedra, and faces with four equivalent InHo4In8 cuboctahedra. All In–In bond lengths are 3.25 Å. In the second In site, In is bonded in a 4-coordinate geometry to two equivalent Ho, two equivalent Rh, and two equivalent In atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Ho4O9 by Materials Project

Ba3Ho4O9 is Orthorhombic Perovskite-like structured and crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.77 Å) and three longer (2.80 Å) Ba–O bond lengths. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.80 Å) and three longer (2.83 Å) Ba–O bond lengths. In the third Ba2+ site, Ba2+ is bonded in a distorted trigonal planar geometry to three equivalent O2- atoms. All Ba–O bond lengths are 2.70 Å. There are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.21 Å) and three longer (2.40 Å) Ho–O bond lengths. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form corner-sharing HoO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are three shorter (2.24 Å) and three longer (2.28 Å) Ho–O bond lengths. In the third Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.21 Å) and three longer (2.44 Å) Ho–O bond lengths. In the fourth Ho3+ site, Ho3+ is bonded to six O2- atoms to form corner-sharing HoO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are three shorter (2.23 Å) and three longer (2.31 Å) Ho–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ba2+ and three Ho3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ho3+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Ho3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on HoNi5 by Materials Project

HoNi5 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Ho is bonded in a distorted hexagonal planar geometry to eighteen Ni atoms. There are six shorter (2.80 Å) and twelve longer (3.13 Å) Ho–Ni bond lengths. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded to four equivalent Ho and eight Ni atoms to form a mixture of face, edge, and corner-sharing NiHo4Ni8 cuboctahedra. There are four shorter (2.42 Å) and four longer (2.43 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded in a 12-coordinate geometry to three equivalent Ho and six equivalent Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiHoGe by Materials Project

LiHoGe crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. Li is bonded to four Ge atoms to form a mixture of distorted corner and edge-sharing LiGe4 tetrahedra. There are two shorter (2.68 Å) and two longer (2.77 Å) Li–Ge bond lengths. Ho is bonded in a 5-coordinate geometry to five Ge atoms. There are one shorter (2.98 Å) and four longer (2.99 Å) Ho–Ge bond lengths. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to six equivalent Li and three equivalent Ho atoms. In the second Ge site, Ge is bonded in a 9-coordinate geometry to three equivalent Li and six equivalent Ho atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ho2Si2O7 by Materials Project

Ho2Si2O7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.29–2.69 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with seven SiO4 tetrahedra. There are a spread of Ho–O bond distances ranging from 2.20–2.40 Å. In the third Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.21–2.90 Å. In the fourth Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.25–2.39 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent HoO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three equivalent HoO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–65°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one HoO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Si–O bond distances ranging from 1.62–1.75 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one HoO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Ho3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ho3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Ho3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Ho3+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ho3+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to two Ho3+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ho3+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ho3+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ho3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ho2SiSO4 by Materials Project

Ho2SiSO4 crystallizes in the orthorhombic Pbcm space group. The structure is three-dimensional. there are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to two equivalent S2- and six O2- atoms. Both Ho–S bond lengths are 2.84 Å. There are a spread of Ho–O bond distances ranging from 2.29–2.48 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to two equivalent S2- and six O2- atoms. There are one shorter (2.69 Å) and one longer (2.78 Å) Ho–S bond lengths. There are a spread of Ho–O bond distances ranging from 2.40–2.51 Å. Si4+ is bonded in a tetrahedral geometry to four O2- atoms. All Si–O bond lengths are 1.64 Å. S2- is bonded in a 4-coordinate geometry to four Ho3+ atoms. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Ho3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three Ho3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on HoAgS2 by Materials Project

HoAgS2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing HoS6 octahedra. The corner-sharing octahedra tilt angles range from 18–22°. There are a spread of Ho–S bond distances ranging from 2.73–2.76 Å. In the second Ho3+ site, Ho3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing HoS6 octahedra. The corner-sharing octahedra tilt angles range from 18–22°. There are a spread of Ho–S bond distances ranging from 2.73–2.77 Å. In the third Ho3+ site, Ho3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing HoS6 octahedra. The corner-sharing octahedra tilt angles range from 18–22°. There are a spread of Ho–S bond distances ranging from 2.73–2.77 Å. In the fourth Ho3+ site, Ho3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing HoS6 octahedra. The corner-sharing octahedra tilt angles range from 18–22°. There are a spread of Ho–S bond distances ranging from 2.73–2.77 Å. There are four inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Ag–S bond distances ranging from 2.50–3.37 Å. In the second Ag1+ site, Ag1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Ag–S bond distances ranging from 2.50–3.37 Å. In the third Ag1+ site, Ag1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Ag–S bond distances ranging from 2.50–3.42 Å. In the fourth Ag1+ site, Ag1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Ag–S bond distances ranging from 2.50–3.41 Å. There are eight inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three Ho3+ and three Ag1+ atoms. In the second S2- site, S2- is bonded to three Ho3+ and two equivalent Ag1+ atoms to form a mixture of distorted edge and corner-sharing SHo3Ag2 square pyramids. In the third S2- site, S2- is bonded in a 5-coordinate geometry to three Ho3+ and three Ag1+ atoms. In the fourth S2- site, S2- is bonded to three Ho3+ and two Ag1+ atoms to form a mixture of distorted edge and corner-sharing SHo3Ag2 square pyramids. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to three Ho3+ and three Ag1+ atoms. In the sixth S2- site, S2- is bonded to three Ho3+ and two Ag1+ atoms to form a mixture of distorted edge and corner-sharing SHo3Ag2 square pyramids. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to three Ho3+ and three Ag1+ atoms. In the eighth S2- site, S2- is bonded to three Ho3+ and two equivalent Ag1+ atoms to form a mixture of distorted edge and corner-sharing SHo3Ag2 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ho2SiSeO4 by Materials Project

Ho2SiSeO4 crystallizes in the orthorhombic Pbcm space group. The structure is three-dimensional. there are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to two equivalent Se2- and six O2- atoms. Both Ho–Se bond lengths are 3.03 Å. There are a spread of Ho–O bond distances ranging from 2.34–2.43 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to two equivalent Se2- and six O2- atoms. There are one shorter (2.86 Å) and one longer (2.96 Å) Ho–Se bond lengths. There are a spread of Ho–O bond distances ranging from 2.38–2.54 Å. Si4+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. Se2- is bonded in a 4-coordinate geometry to four Ho3+ atoms. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Ho3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three Ho3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on HoIn5Co by Materials Project

HoCoIn5 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ho is bonded to twelve In atoms to form HoIn12 cuboctahedra that share corners with four equivalent HoIn12 cuboctahedra, faces with four equivalent HoIn12 cuboctahedra, and faces with four equivalent InHo4In8 cuboctahedra. There are four shorter (3.24 Å) and eight longer (3.25 Å) Ho–In bond lengths. Co is bonded in a body-centered cubic geometry to eight equivalent In atoms. All Co–In bond lengths are 2.72 Å. There are two inequivalent In sites. In the first In site, In is bonded in a 4-coordinate geometry to two equivalent Ho, two equivalent Co, and seven In atoms. There are a spread of In–In bond distances ranging from 2.92–3.25 Å. In the second In site, In is bonded to four equivalent Ho and eight equivalent In atoms to form distorted InHo4In8 cuboctahedra that share corners with four equivalent InHo4In8 cuboctahedra, faces with four equivalent HoIn12 cuboctahedra, and faces with four equivalent InHo4In8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on HoCo5 by Materials Project

HoCo5 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Ho is bonded in a 6-coordinate geometry to eighteen Co atoms. There are six shorter (2.83 Å) and twelve longer (3.15 Å) Ho–Co bond lengths. There are two 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 2.43 Å. In the second Co site, Co is bonded to four equivalent Ho and eight Co atoms to form a mixture of corner, edge, and face-sharing CoHo4Co8 cuboctahedra. All Co–Co bond lengths are 2.45 Å.

36 MATERIALS SCIENCE↗

Materials Data on HoCu5 by Materials Project

HoCu5 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Ho is bonded in a distorted hexagonal planar geometry to eighteen Cu atoms. There are six shorter (2.89 Å) and twelve longer (3.23 Å) Ho–Cu bond lengths. There are two inequivalent Cu sites. In the first Cu site, Cu is bonded in a 12-coordinate geometry to three equivalent Ho and six equivalent Cu atoms. All Cu–Cu bond lengths are 2.50 Å. In the second Cu site, Cu is bonded to four equivalent Ho and eight Cu atoms to form a mixture of edge, corner, and face-sharing CuHo4Cu8 cuboctahedra. All Cu–Cu bond lengths are 2.51 Å.

36 MATERIALS SCIENCE↗

Materials Data on HoGa5Co by Materials Project

HoCoGa5 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ho is bonded to twelve Ga atoms to form HoGa12 cuboctahedra that share corners with four equivalent HoGa12 cuboctahedra, faces with four equivalent HoGa12 cuboctahedra, and faces with four equivalent GaHo4Ga8 cuboctahedra. All Ho–Ga bond lengths are 2.99 Å. Co is bonded in a body-centered cubic geometry to eight equivalent Ga atoms. All Co–Ga bond lengths are 2.47 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to four equivalent Ho and eight equivalent Ga atoms to form distorted GaHo4Ga8 cuboctahedra that share corners with four equivalent GaHo4Ga8 cuboctahedra, faces with four equivalent HoGa12 cuboctahedra, and faces with four equivalent GaHo4Ga8 cuboctahedra. All Ga–Ga bond lengths are 2.99 Å. In the second Ga site, Ga is bonded in a 4-coordinate geometry to two equivalent Ho, two equivalent Co, and seven Ga atoms. There are one shorter (2.58 Å) and four longer (2.99 Å) Ga–Ga bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on HoH18C3S3(O2F)9 by Materials Project

Ho(H2O)9(CF3)3(SO3)3 crystallizes in the hexagonal P6_3/m space group. The structure is zero-dimensional and consists of six fluoroform molecules, six sulfur trioxide molecules, and two Ho(H2O)9 clusters. In each Ho(H2O)9 cluster, Ho3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are six shorter (2.37 Å) and three longer (2.53 Å) Ho–O bond lengths. There are three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to one Ho3+ and two equivalent H1+ atoms. In the second O2- site, O2- is bonded in a distorted water-like geometry to one Ho3+ and two H1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiHo3Ge2(O4F)2 by Materials Project

LiHo3(GeO4)2F2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded in a square co-planar geometry to four O2- atoms. All Li–O bond lengths are 2.12 Å. There are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- and one F1- atom to form distorted HoO6F pentagonal bipyramids that share corners with two equivalent HoO6F pentagonal bipyramids, corners with four equivalent GeO4 tetrahedra, an edgeedge with one HoO6F pentagonal bipyramid, and an edgeedge with one GeO4 tetrahedra. There are a spread of Ho–O bond distances ranging from 2.29–2.44 Å. The Ho–F bond length is 2.23 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to six O2- and two equivalent F1- atoms. There are a spread of Ho–O bond distances ranging from 2.29–2.56 Å. Both Ho–F bond lengths are 2.24 Å. Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with four equivalent HoO6F pentagonal bipyramids and an edgeedge with one HoO6F pentagonal bipyramid. There are a spread of Ge–O bond distances ranging from 1.76–1.81 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ho3+ and one Ge4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ho3+, and one Ge4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Ge4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ho3+, and one Ge4+ atom. F1- is bonded in a bent 150 degrees geometry to two Ho3+ atoms.

36 MATERIALS SCIENCE↗