Quantum Versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho 3 Mg 2 Sb 3 O 14
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Mixed-linkage (1,3;1,4)-β-glucans, which are widely distributed in cell walls of the grasses, are linear glucose polymers containing predominantly (1,4)-β-linked glucosyl units interspersed with single (1,3)-β-linked glucosyl units. Their distribution in cereal grains and unique structures are important determinants of dietary fibers that are beneficial to human health. We demonstrate that the barley cellulose synthase-like CslF6 enzyme is sufficient to synthesize a high–molecular weight (1,3;1,4)-β-glucan in vitro. Biochemical and cryo–electron microscopy analyses suggest that CslF6 functions as a monomer. A conserved “switch motif” at the entrance of the enzyme’s transmembrane channel is critical to generate (1,3)-linkages. There, a single-point mutation markedly reduces (1,3)-linkage formation, resulting in the synthesis of cellulosic polysaccharides. Our results suggest that CslF6 monitors the orientation of the nascent polysaccharide’s second or third glucosyl unit. Register-dependent interactions with these glucosyl residues reposition the polymer’s terminal glucosyl unit to form either a (1,3)- or (1,4)-β-linkage.
Abstract Background Zymomonas mobilis has recently been shown to be capable of producing the valuable platform biochemical, 2,3-butanediol (2,3-BDO). Despite this capability, the production of high titers of 2,3-BDO is restricted by several physiological parameters. One such bottleneck involves the conversion of acetoin to 2,3-BDO, a step catalyzed by 2,3-butanediol dehydrogenase (Bdh). Several Bdh enzymes have been successfully expressed in Z. mobilis, although a highly active enzyme is yet to be identified for expression in this host. Here, we report the application of a phylogenetic approach to identify and characterize a superior Bdh, followed by validation of its structural attributes using a mutagenesis approach. Results Of the 11 distinct bdh genes that were expressed in Z. mobilis, crude extracts expressing Serratia marcescens Bdh ( Sm Bdh) were found to have the highest activity (8.89 µmol/min/mg), when compared to other Bdh enzymes (0.34–2.87 µmol/min/mg). The Sm Bdh crystal structure was determined through crystallization with cofactor (NAD + ) and substrate (acetoin) molecules bound in the active site. Active Sm Bdh was shown to be a tetramer with the active site populated by a Gln247 residue contributed by the diagonally opposite subunit. Sm Bdh showed a more extensive supporting hydrogen-bond network in comparison to the other well-studied Bdh enzymes, which enables improved substrate positioning and substrate specificity. This protein also contains a short α6 helix, which provides more efficient entry and exit of molecules from the active site, thereby contributing to enhanced substrate turnover. Extending the α6 helix to mimic the lower activity Enterobacter cloacae ( Ec Bdh) enzyme resulted in reduction of Sm Bdh function to nearly 3% of the total activity. In great contrast, reduction of the corresponding α6 helix of the Ec Bdh to mimic the Sm Bdh structure resulted in ~ 70% increase in its activity. Conclusions This study has demonstrated that Sm Bdh is superior to other Bdhs for expression in Z. mobilis for 2,3-BDO production. Sm Bdh possesses unique structural features that confer biochemical advantage to this protein. While coordinated active site formation is a unique structural characteristic of this tetrameric complex, the smaller α6 helix and extended hydrogen network contribute towards improved activity and substrate promiscuity of the enzyme.
HoFe3(BO3)4 is Calcite-derived structured and crystallizes in the trigonal P3_121 space group. The structure is three-dimensional. Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.33 Å) and two longer (2.41 Å) Ho–O bond lengths. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. There are three inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.38 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.38 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Fe3+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Fe3+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ho3+, one Fe3+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Fe3+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+, one Fe3+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Fe3+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+, one Fe3+, and one B3+ atom.
Na2Ho2B2TeO10 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.96 Å. Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.47 Å. B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. Te6+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Te–O bond distances ranging from 1.93–2.01 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Na1+, one Ho3+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two equivalent Ho3+, and one Te6+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Na1+, one B3+, and one Te6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two equivalent Ho3+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, two equivalent Ho3+, and one Te6+ atom.
LiB(OH)4 crystallizes in the orthorhombic Pbca space group. The structure is three-dimensional. Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four equivalent BO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with four equivalent LiO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.47–1.51 Å. There are four 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 0.99 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 two O2- atoms. There is one shorter (1.00 Å) and one longer (1.73 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.67 Å) H–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one B3+, and one H1+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one B3+, and two H1+ atoms. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one B3+, and two H1+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one B3+, and one H1+ atom.
CaMgB6(H9O10)2(H2O)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional and consists of eight water molecules and one CaMgB6(H9O10)2 framework. In the CaMgB6(H9O10)2 framework, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.54 Å. Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four BO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.11–2.13 Å. There are three inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one MgO6 octahedra and a cornercorner with one BO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the second B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one MgO6 octahedra and a cornercorner with one BO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of B–O bond distances ranging from 1.45–1.52 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.39 Å) B–O bond length. There are nine 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 0.97 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 distorted single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.62 Å) H–O bond length. In the fourth 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 fifth 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 sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the seventh 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 eighth 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 ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+, one B3+, and one H1+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two B3+ atoms. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to two B3+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+, one B3+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one B3+ and two H1+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one B3+, and one H1+ atom. In the seventh O2- site, O2- is bonded in a distorted water-like geometry to one Mg2+ and two H1+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to one Ca2+ and two H1+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+ and two B3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one B3+, and one H1+ atom.
Ho4NiB13 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 2.55–2.89 Å. Ni3+ is bonded in a 8-coordinate geometry to eight equivalent B+1.15- atoms. All Ni–B bond lengths are 2.18 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 2.10 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 (1.77 Å) and one longer (1.91 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 Ni3+, and four B+1.15- atoms. Both B–B bond lengths are 1.81 Å.
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.
Kagome lattice is a fertile platform for topological and intertwined electronic excitations. Recently, experimental evidence of an unconventional charge density wave (CDW) is observed in a Z 2 kagome metal AV 3 Sb 5 (A=K, Cs, Rb). This observation triggers wide interest in the interplay between frustrated crystal structure and Fermi surface instabilities. Here, we analyze the lattice effect and its impact on CDW in AV 3 Sb 5 . Based on published experimental data, we show that the 2×2×2 CDW breaks the sixfold rotational symmetry of the crystal due to the phase shift between kagome layers and can explain the twofold symmetric CDW peak intensity observed by scanning tunneling spectroscopy. The coupling between the lattice and electronic degrees of freedom yields a weak first-order structural transition without continuous change of lattice dynamics. Our result emphasizes the fundamental role of lattice geometry in proper understanding of unconventional electronic orders in AV 3 Sb 5 .
The Pr-rich end 0 ≤ x ≤ 0.25 of the alloy series Pr 1-x Nd x Os 4 Sb 12 has been studied using muon spin rotation and relaxation. The end compound PrOs 4 Sb 12 is an unconventional heavy-fermion superconductor, which exhibits a spontaneous magnetic field associated with broken time-reversal symmetry (TRS) in the superconducting phase. Further, no such field is observed in the Nd-doped alloys for x ≥ 0.05, indicating that TRS has been restored. The superfluid density from the vortex-lattice field distribution is insensitive to Nd concentration for x ≲ 0.2, indicating that TRS restoration does not have a strong effect on the superconducting state. No Nd 3+ static magnetism, ordered or disordered, is found down to the lowest temperatures of measurement.
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In low-temperature flash photolysis of NH 3 /O 2 /N 2 mixtures, the NH 2 consumption rate and the product distribution is controlled by the reactions NH 2 + HO 2 → products (R1), NH 2 + H (+M) → NH 3 (+M) (R2), and NH 2 + NH 2 (+M) → N 2 H 4 (+M) (R3). In the present work, published flash photolysis experiments by, among others, Cheskis and co-workers, are re-interpreted using recent direct measurements of NH 2 + H (+N 2 ) and NH 2 + NH 2 (+N 2 ) from Altinay and Macdonald. To facilitate analysis of the FP data, relative third-body collision efficiencies compared to N 2 for R2 and R3 were calculated for O 2 and NH 3 as well as for other selected molecules. We report results were in good agreement with the limited experimental data. Based on reported NH 2 decay rates in flash photolysis of NH 3 /O 2 /N 2 , a rate constant for NH 2 + HO 2 → NH 3 + O 2 (R1a) of $k_{1\text{a}}$ = 1.5(±0.5) × 10 14 cm 3 mol –1 s –1 at 295 K was derived. This value is higher than earlier determinations based on the FP results but in good agreement with recent theoretical work. Kinetic modeling of reported N 2 O yields indicates that NH 2 + HO 2 → H 2 NO + O (R1c) is competing with R1a, but perturbation experiments with addition of CH4 indicate that it is not a dominating channel. Measured HNO profiles indicate that this component is formed directly by NH 2 + HO 2 → HNO + H 2 O (R1b), but theoretical work indicates that R1b is only a minor channel. Based on this analysis, we estimate $k_{1\text{c}}$ = 2.5 × 10 13 cm 3 mol –1 s –1 and $k_{1\text{b}}$ = 2.5 × 10 12 cm 3 mol –1 s –1 at 295 K, with significant uncertainty margins.
HoMo3B7 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Ho3+ is bonded in a 12-coordinate geometry to thirteen B+1.29- atoms. There are a spread of Ho–B bond distances ranging from 2.68–3.34 Å. There are three inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded to twelve B+1.29- atoms to form face-sharing MoB12 cuboctahedra. There are a spread of Mo–B bond distances ranging from 2.37–2.49 Å. In the second Mo2+ site, Mo2+ is bonded in a 9-coordinate geometry to nine B+1.29- atoms. There are a spread of Mo–B bond distances ranging from 2.24–2.33 Å. In the third Mo2+ site, Mo2+ is bonded in a 9-coordinate geometry to nine B+1.29- atoms. There are a spread of Mo–B bond distances ranging from 2.24–2.35 Å. There are seven inequivalent B+1.29- sites. In the first B+1.29- site, B+1.29- is bonded in a 9-coordinate geometry to one Ho3+, five Mo2+, and three B+1.29- atoms. There is two shorter (1.81 Å) and one longer (1.85 Å) B–B bond length. In the second B+1.29- site, B+1.29- is bonded in a 2-coordinate geometry to two equivalent Ho3+, five Mo2+, and two equivalent B+1.29- atoms. Both B–B bond lengths are 1.80 Å. In the third B+1.29- site, B+1.29- is bonded in a 3-coordinate geometry to three equivalent Ho3+, three equivalent Mo2+, and three B+1.29- atoms. There is one shorter (1.76 Å) and two longer (1.82 Å) B–B bond length. In the fourth B+1.29- site, B+1.29- is bonded in a 3-coordinate geometry to one Ho3+, five Mo2+, and three B+1.29- atoms. Both B–B bond lengths are 1.79 Å. In the fifth B+1.29- site, B+1.29- is bonded in a 3-coordinate geometry to two equivalent Ho3+, four Mo2+, and three B+1.29- atoms. The B–B bond length is 1.77 Å. In the sixth B+1.29- site, B+1.29- is bonded in a 3-coordinate geometry to two equivalent Ho3+, four Mo2+, and three B+1.29- atoms. In the seventh B+1.29- site, B+1.29- is bonded in a 9-coordinate geometry to two equivalent Ho3+, four Mo2+, and three B+1.29- atoms.
HoReB4 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 2.66–2.82 Å. Re3+ is bonded in a 10-coordinate geometry to ten B+1.50- atoms. There are a spread of Re–B bond distances ranging from 2.33–2.39 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 four equivalent Ho3+, two equivalent Re3+, and three B+1.50- atoms. There are a spread of B–B bond distances ranging from 1.76–1.85 Å. In the second B+1.50- site, B+1.50- is bonded in a 9-coordinate geometry to two equivalent Ho3+, four equivalent Re3+, and three B+1.50- atoms. Both B–B bond lengths are 1.75 Å. In the third B+1.50- site, B+1.50- is bonded in a 3-coordinate geometry to four equivalent Ho3+, two equivalent Re3+, and three B+1.50- atoms. There is one shorter (1.78 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 Re3+, and three B+1.50- atoms.
In this study, polar magnetic oxide HoCrWO 6 is synthesized and its crystal structure, magnetic structure, and thermodynamic properties are investigated. HoCrWO 6 forms the polar crystal structure (space group Pna 2 1 (#33)) due to the cation ordering of W 6+ and Cr 3+ . There is an antiferromagnetic transition at T N = 24.5 K along with the magnetic entropy change (~5 J.Kg. –1 K –1 at 70 kOe). Neutron diffraction measurement indicates that both Cr and Ho sublattices are ordered with the moment of 2.32(5)μ B and 8.7(4)μ B at 2 K, respectively. While Cr forms A-type collinear antiferromagnetic (AFM) structure with magnetic moment along the b axis, Ho sublattice orders in a non-coplanar AFM arrangement. A comparison with isostructural DyFeWO 6 and DyCrWO 6 indicates that the magnetic structure of this family of compounds is controlled by the presence or absence of e g electrons in the transition metal sublattice.
HoAl3(BO3)4 is Calcite-derived structured and crystallizes in the trigonal R32 space group. The structure is three-dimensional. Ho3+ is bonded in a 6-coordinate geometry to six equivalent O2- atoms. All Ho–O bond lengths are 2.33 Å. Al3+ is bonded to six O2- atoms to form edge-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.95 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three equivalent O2- atoms. All B–O bond lengths are 1.39 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Al3+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+, one Al3+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Al3+ and one B3+ atom.
HoAl3(BO3)4 is Calcite-derived structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.33 Å) and two longer (2.34 Å) Ho–O bond lengths. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form edge-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.95 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form edge-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.95 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+, one Al3+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+, one Al3+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Al3+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ho3+, one Al3+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one B3+ atom.