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At least 487 records · Page 27

Materials Data on LuCo3B2 by Materials Project

LuCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Lu3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Lu–B bond lengths are 2.85 Å. Co1+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.08 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Lu3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on DyCo3B2 by Materials Project

DyCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Dy3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Dy–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 Dy3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on GdCo3B2 by Materials Project

GdCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Gd3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Gd–B bond lengths are 2.90 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 Gd3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TbCo3B2 by Materials Project

TbCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Tb3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Tb–B bond lengths are 2.89 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 Tb3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on YCo3B2 by Materials Project

YCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Y3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Y–B bond lengths are 2.90 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 Y3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on HoCo3B2 by Materials Project

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.

36 MATERIALS SCIENCE↗

Materials Data on ErCo3B2 by Materials Project

ErCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Er3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Er–B bond lengths are 2.87 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 Er3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on SmCo3B2 by Materials Project

SmCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Sm3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Sm–B bond lengths are 2.92 Å. Co1+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.10 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Sm3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TmCo3B2 by Materials Project

TmCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Tm3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Tm–B bond lengths are 2.86 Å. Co1+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.08 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Tm3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiAg2F6 by Materials Project

LiAg2F6 crystallizes in the trigonal P321 space group. The structure is three-dimensional. Li1+ is bonded in a trigonal planar geometry to three equivalent F1- atoms. All Li–F bond lengths are 1.88 Å. Ag+2.50+ is bonded to six F1- atoms to form corner-sharing AgF6 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are three shorter (2.12 Å) and three longer (2.18 Å) Ag–F bond lengths. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two equivalent Ag+2.50+ atoms. In the second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two equivalent Ag+2.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on ZrCo3B2 by Materials Project

ZrCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Zr2+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Zr–B bond lengths are 2.81 Å. Co+1.33+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.07 Å. B3- is bonded in a 9-coordinate geometry to three equivalent Zr2+ and six equivalent Co+1.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CeCo3B2 by Materials Project

CeCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Ce3+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Ce–B bond lengths are 2.91 Å. Co1+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.10 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Ce3+ and six equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on ScCo3B2 by Materials Project

ScCo3B2 crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. Sc2+ is bonded in a hexagonal planar geometry to six equivalent B3- atoms. All Sc–B bond lengths are 2.82 Å. Co+1.33+ is bonded in a square co-planar geometry to four equivalent B3- atoms. All Co–B bond lengths are 2.05 Å. B3- is bonded in a 6-coordinate geometry to three equivalent Sc2+ and six equivalent Co+1.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CeAlH2Ir by Materials Project

CeIrAlH2 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ce is bonded in a hexagonal planar geometry to six equivalent H atoms. All Ce–H bond lengths are 2.55 Å. Ir is bonded to three equivalent Al and two equivalent H atoms to form corner-sharing IrAl3H2 trigonal bipyramids. All Ir–Al bond lengths are 2.52 Å. Both Ir–H bond lengths are 1.70 Å. Al is bonded in a trigonal planar geometry to three equivalent Ir atoms. H is bonded to three equivalent Ce and one Ir atom to form a mixture of edge and corner-sharing HCe3Ir trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Zr5Te4 by Materials Project

Zr5Te4 is Titanium telluride structured and crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a distorted square co-planar geometry to four equivalent Te atoms. All Zr–Te bond lengths are 3.11 Å. In the second Zr site, Zr is bonded to five equivalent Te atoms to form a mixture of distorted edge and corner-sharing ZrTe5 trigonal bipyramids. There are two shorter (2.94 Å) and three longer (2.95 Å) Zr–Te bond lengths. Te is bonded in a distorted hexagonal planar geometry to six Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on BeGe3 by Materials Project

BeGe3 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Be is bonded in a distorted square co-planar geometry to twelve Ge atoms. There are four shorter (2.78 Å) and eight longer (2.95 Å) Be–Ge bond lengths. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded to four equivalent Be and eight Ge atoms to form a mixture of distorted face, edge, and corner-sharing GeBe4Ge8 cuboctahedra. There are four shorter (2.78 Å) and four longer (2.95 Å) Ge–Ge bond lengths. In the second Ge site, Ge is bonded in a distorted square co-planar geometry to four equivalent Be and eight equivalent Ge atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cu2Se by Materials Project

Cu2Se crystallizes in the tetragonal P4_32_12 space group. The structure is three-dimensional. Cu1+ is bonded in a trigonal planar geometry to three equivalent Se2- atoms. There are one shorter (2.41 Å) and two longer (2.42 Å) Cu–Se bond lengths. Se2- is bonded to six equivalent Cu1+ atoms to form distorted corner-sharing SeCu6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Algebraic branch points at all loop orders from positive kinematics and wall crossing

A bstract There is a remarkable connection between the boundary structure of the positive kinematic region and branch points of integrated amplitudes in planar $$ \mathcal{N} $$ N = 4 SYM. A long-standing question has been precisely how algebraic branch points emerge from this picture. We use wall crossing and scattering diagrams to systematically study the boundary structure of the positive kinematic regions associated with MHV amplitudes. The notion of asymptotic chambers in the scattering diagram naturally explains the appearance of algebraic branch points. Furthermore, the scattering diagram construction also motivates a new coordinate system for kinematic space that rationalizes the relations between algebraic letters in the symbol alphabet. As a direct application, we conjecture a complete list of all algebraic letters that could appear in the symbol alphabet of the 8-point MHV amplitude.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗