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At least 1,693 records · Page 94
All sourcesNASA NTRSDOE OSTI
DOE OSTI2025

Dynamic realization of emergent high-dimensional optical vortices

The dimensionality of vortical structures has recently been extended beyond two dimensions, providing additional topological complexity and robustness for high-capacity information processing and turbulence control. The generation of high-dimensional vortical structures has mostly been demonstrated in classical systems through the complex interference of fluidic, acoustic, or electromagnetic waves. However, natural materials rarely support three- or higher-dimensional vortical structures and their physical interactions. Here, we experimentally demonstrate a high-dimensional gradient thickness optical cavity (GTOC) in which the optical coupling of planar metal-dielectric multilayers implements topological interactions across multiple dimensions. At non-trivial topological phases, high-dimensional GTOC induces high-dimensional vortical structures in generalized parameter space in three, four dimensions, and beyond. These emergent high-dimensional vortical structures are observed under electro-optic tomography as optical vortex dynamics in two-dimensional real-space, employing the optical thicknesses of dielectric layers as synthetic dimensions. Our findings hold significant promise for emulating high-dimensional physics and developing active topological photonic devices.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nb6Co16Si7 by Materials Project

Nb6Co16Si7 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Nb2+ is bonded in a distorted square co-planar geometry to four equivalent Si4- atoms. All Nb–Si bond lengths are 2.85 Å. There are two inequivalent Co1+ sites. In the first Co1+ site, Co1+ is bonded to four Si4- atoms to form a mixture of corner and edge-sharing CoSi4 tetrahedra. There are one shorter (2.30 Å) and three longer (2.47 Å) Co–Si bond lengths. In the second Co1+ site, Co1+ is bonded in a trigonal planar geometry to three equivalent Si4- atoms. All Co–Si bond lengths are 2.29 Å. There are two inequivalent Si4- sites. In the first Si4- site, Si4- is bonded to four equivalent Nb2+ and eight Co1+ atoms to form a mixture of corner and face-sharing SiNb4Co8 cuboctahedra. In the second Si4- site, Si4- is bonded in a body-centered cubic geometry to eight equivalent Co1+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr6Co16Si7 by Materials Project

Zr6Co16Si7 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Zr2+ is bonded in a distorted square co-planar geometry to four equivalent Si4- atoms. All Zr–Si bond lengths are 2.90 Å. There are two inequivalent Co1+ sites. In the first Co1+ site, Co1+ is bonded to four Si4- atoms to form a mixture of edge and corner-sharing CoSi4 tetrahedra. There are one shorter (2.38 Å) and three longer (2.51 Å) Co–Si bond lengths. In the second Co1+ site, Co1+ is bonded in a trigonal planar geometry to three equivalent Si4- atoms. All Co–Si bond lengths are 2.34 Å. There are two inequivalent Si4- sites. In the first Si4- site, Si4- is bonded in a body-centered cubic geometry to eight equivalent Co1+ atoms. In the second Si4- site, Si4- is bonded to four equivalent Zr2+ and eight Co1+ atoms to form a mixture of face and corner-sharing SiZr4Co8 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuBiPtS3 by Materials Project

PtCuBiS3 crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. Pt2+ is bonded in a square co-planar geometry to four S2- atoms. There are a spread of Pt–S bond distances ranging from 2.35–2.38 Å. Cu1+ is bonded to four S2- atoms to form corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.27–2.32 Å. Bi3+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Bi–S bond distances ranging from 2.71–2.88 Å. There are three inequivalent S2- sites. In the first S2- site, S2- is bonded to one Pt2+, one Cu1+, and two equivalent Bi3+ atoms to form distorted SCuBi2Pt tetrahedra that share corners with seven SCu2BiPt tetrahedra, corners with three equivalent SCuBiPt2 trigonal pyramids, and an edgeedge with one SCuBiPt2 trigonal pyramid. In the second S2- site, S2- is bonded to two equivalent Pt2+, one Cu1+, and one Bi3+ atom to form distorted SCuBiPt2 trigonal pyramids that share corners with six SCuBi2Pt tetrahedra, corners with two equivalent SCuBiPt2 trigonal pyramids, and edges with two SCu2BiPt tetrahedra. In the third S2- site, S2- is bonded to one Pt2+, two equivalent Cu1+, and one Bi3+ atom to form distorted SCu2BiPt tetrahedra that share corners with seven SCuBi2Pt tetrahedra, corners with three equivalent SCuBiPt2 trigonal pyramids, and an edgeedge with one SCuBiPt2 trigonal pyramid.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ce2MgNi2 by Materials Project

Ce2Ni2Mg crystallizes in the tetragonal P4/mbm space group. The structure is three-dimensional. Mg is bonded in a distorted square co-planar geometry to four equivalent Ni atoms. All Mg–Ni bond lengths are 2.96 Å. Ce is bonded in a 6-coordinate geometry to six equivalent Ni atoms. There are two shorter (2.82 Å) and four longer (2.89 Å) Ce–Ni bond lengths. Ni is bonded in a 9-coordinate geometry to two equivalent Mg, six equivalent Ce, and one Ni atom. The Ni–Ni bond length is 2.74 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on PbO by Materials Project

PbO crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. Pb2+ is bonded to four O2- atoms to form a mixture of distorted edge and corner-sharing PbO4 tetrahedra. All Pb–O bond lengths are 2.47 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a square co-planar geometry to four equivalent Pb2+ atoms. In the second O2- site, O2- is bonded in a square co-planar geometry to four equivalent Pb2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pd(Se4Cl)2 by Materials Project

Pd(Se4Cl)2 crystallizes in the orthorhombic Pbca space group. The structure is three-dimensional. Pd4+ is bonded in a square co-planar geometry to two equivalent Se+0.25- and two equivalent Cl1- atoms. Both Pd–Se bond lengths are 2.45 Å. Both Pd–Cl bond lengths are 2.33 Å. There are four inequivalent Se+0.25- sites. In the first Se+0.25- site, Se+0.25- is bonded in a 1-coordinate geometry to one Pd4+, two Se+0.25-, and one Cl1- atom. There are one shorter (2.40 Å) and one longer (2.46 Å) Se–Se bond lengths. The Se–Cl bond length is 3.26 Å. In the second Se+0.25- site, Se+0.25- is bonded in a distorted rectangular see-saw-like geometry to two Se+0.25- and two equivalent Cl1- atoms. The Se–Se bond length is 2.38 Å. There are one shorter (3.18 Å) and one longer (3.39 Å) Se–Cl bond lengths. In the third Se+0.25- site, Se+0.25- is bonded in a distorted water-like geometry to two Se+0.25- atoms. The Se–Se bond length is 2.33 Å. In the fourth Se+0.25- site, Se+0.25- is bonded in a 4-coordinate geometry to two Se+0.25- and two equivalent Cl1- atoms. There are one shorter (3.45 Å) and one longer (3.96 Å) Se–Cl bond lengths. Cl1- is bonded in a distorted single-bond geometry to one Pd4+ and five Se+0.25- atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MnMo3 by Materials Project

Mo3Mn crystallizes in the monoclinic C2 space group. The structure is zero-dimensional and consists of two Mo3Mn clusters. there are two inequivalent Mo sites. In the first Mo site, Mo is bonded in a single-bond geometry to one Mn atom. The Mo–Mn bond length is 2.34 Å. In the second Mo site, Mo is bonded in a single-bond geometry to one Mn atom. The Mo–Mn bond length is 2.34 Å. Mn is bonded in a distorted trigonal planar geometry to three Mo atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiLuO2 by Materials Project

LiLuO2 crystallizes in the tetragonal I4_1/amd space group. The structure is three-dimensional. Li1+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. All Li–O bond lengths are 2.19 Å. Lu3+ is bonded to six equivalent O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are four shorter (2.19 Å) and two longer (2.25 Å) Lu–O bond lengths. O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three equivalent Lu3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuHgC4(SN)4 by Materials Project

CuHgC4(NS)4 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. Cu2+ is bonded in a square co-planar geometry to four N3- and two equivalent S2- atoms. There is two shorter (1.96 Å) and two longer (1.99 Å) Cu–N bond length. Both Cu–S bond lengths are 3.05 Å. Hg2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Hg–S bond distances ranging from 2.57–3.29 Å. There are two inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a distorted linear geometry to one N3- and one S2- atom. The C–N bond length is 1.18 Å. The C–S bond length is 1.64 Å. In the second C4+ site, C4+ is bonded in a distorted linear geometry to one N3- and one S2- atom. The C–N bond length is 1.18 Å. The C–S bond length is 1.63 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded in a linear geometry to one Cu2+ and one C4+ atom. In the second N3- site, N3- is bonded in a linear geometry to one Cu2+ and one C4+ atom. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 2-coordinate geometry to two equivalent Hg2+ and one C4+ atom. In the second S2- site, S2- is bonded in a 2-coordinate geometry to one Cu2+, one Hg2+, and one C4+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbP2H5O8 by Materials Project

RbH5(PO4)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Rb1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are two shorter (3.03 Å) and two longer (3.04 Å) Rb–O bond lengths. P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to two equivalent O2- atoms. Both H–O bond lengths are 1.20 Å. In the second H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.48 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.63 Å) H–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one P5+ and two H1+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Rb1+, one P5+, and one H1+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one P5+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+, one P5+, and one H1+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SiGe3 by Materials Project

Ge3Si crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Ge sites. In the first Ge site, Ge is bonded to eight Ge and four equivalent Si atoms to form a mixture of distorted corner, edge, and face-sharing GeSi4Ge8 cuboctahedra. There are four shorter (2.81 Å) and four longer (3.08 Å) Ge–Ge bond lengths. All Ge–Si bond lengths are 3.08 Å. In the second Ge site, Ge is bonded in a square co-planar geometry to eight equivalent Ge and four equivalent Si atoms. All Ge–Si bond lengths are 2.81 Å. Si is bonded in a square co-planar geometry to twelve Ge atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiLaTi2O6 by Materials Project

LiLaTi2O6 crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (1.97 Å) and two longer (2.12 Å) Li–O bond lengths. La3+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of La–O bond distances ranging from 2.48–3.08 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There is two shorter (1.96 Å) and four longer (1.97 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Ti–O bond distances ranging from 1.95–1.98 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two equivalent La3+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, two equivalent La3+, and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent La3+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent La3+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiY4Ti4(S2O5)2 by Materials Project

LiY4Ti4(S2O5)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (1.88 Å) and two longer (2.14 Å) Li–O bond lengths. Y3+ is bonded in a 9-coordinate geometry to five equivalent S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.86–2.93 Å. There are a spread of Y–O bond distances ranging from 2.42–2.50 Å. Ti+3.75+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.77 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.01 Å. S2- is bonded in a 6-coordinate geometry to five equivalent Y3+ and one Ti+3.75+ atom. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Y3+ and two equivalent Ti+3.75+ atoms. In the second O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two equivalent Ti+3.75+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Y3+ and two equivalent Ti+3.75+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Y3+, and two equivalent Ti+3.75+ atoms to form distorted corner-sharing OLiY2Ti2 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Y3+ and two equivalent Ti+3.75+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CuBi2(SeO3)4 by Materials Project

CuBi2(SeO3)4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Cu2+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.94 Å) and two longer (1.96 Å) Cu–O bond length. Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–3.03 Å. There are two inequivalent Se4+ sites. In the first Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.77 Å. In the second Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.73 Å) and one longer (1.77 Å) Se–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Bi3+ and one Se4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Bi3+ and one Se4+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent Bi3+ and one Se4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+, one Bi3+, and one Se4+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi3+ and one Se4+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg(Hg11N3)2 by Materials Project

Mg(Hg11N3)2 crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. Mg is bonded in a square co-planar geometry to four equivalent N atoms. All Mg–N bond lengths are 2.25 Å. There are five inequivalent Hg sites. In the first Hg site, Hg is bonded in a single-bond geometry to one Hg and one N atom. The Hg–Hg bond length is 2.79 Å. The Hg–N bond length is 2.22 Å. In the second Hg site, Hg is bonded in a single-bond geometry to one Hg and one N atom. The Hg–Hg bond length is 2.94 Å. The Hg–N bond length is 2.23 Å. In the third Hg site, Hg is bonded in a single-bond geometry to one Hg and one N atom. The Hg–Hg bond length is 3.11 Å. The Hg–N bond length is 2.48 Å. In the fourth Hg site, Hg is bonded to six Hg atoms to form HgHg6 octahedra that share a cornercorner with one NHg5 square pyramid. The Hg–Hg bond length is 2.90 Å. In the fifth Hg site, Hg is bonded to four equivalent Hg atoms to form distorted HgHg4 tetrahedra that share corners with four equivalent NHg5 square pyramids. There are two inequivalent N sites. In the first N site, N is bonded to five Hg atoms to form distorted NHg5 square pyramids that share a cornercorner with one HgHg6 octahedra and corners with four equivalent HgHg4 tetrahedra. The corner-sharing octahedral tilt angles are 0°. In the second N site, N is bonded in a distorted T-shaped geometry to one Mg and two equivalent Hg atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Bi2Pd(SeO3)4 by Materials Project

Bi2Pd(SeO3)4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Pd4+ is bonded in a square co-planar geometry to four O2- atoms. All Pd–O bond lengths are 2.04 Å. Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–2.87 Å. There are two inequivalent Se+3.50+ sites. In the first Se+3.50+ site, Se+3.50+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.73 Å) and one longer (1.77 Å) Se–O bond length. In the second Se+3.50+ site, Se+3.50+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.77 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Bi3+ and one Se+3.50+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Pd4+, one Bi3+, and one Se+3.50+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi3+ and one Se+3.50+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Bi3+ and one Se+3.50+ atom. In the fifth O2- site, O2- is bonded in a water-like geometry to one Pd4+ and one Se+3.50+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Bi3+ and one Se+3.50+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Te2AuI by Materials Project

AuTe2I crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. Au5+ is bonded in a distorted square co-planar geometry to four equivalent Te2- and two equivalent I1- atoms. All Au–Te bond lengths are 2.74 Å. Both Au–I bond lengths are 3.44 Å. Te2- is bonded in a 2-coordinate geometry to two equivalent Au5+ and four equivalent I1- atoms. There are two shorter (3.76 Å) and two longer (3.99 Å) Te–I bond lengths. I1- is bonded in a 12-coordinate geometry to two equivalent Au5+ and eight equivalent Te2- atoms.

36 MATERIALS SCIENCE↗