ライフサイエンスコーパス: polyhedra

1 (i.e. helical, tetrahedral, cubic and other polyhedra).

2 fullerene-topology cage built from 28 uranyl polyhedra.

3 orated into the self-assembled symmetric DNA polyhedra.

4 ations of that involve two different regular polyhedra.

5 s formed from linked M(O,F)(n) and P(O,F)(n) polyhedra.

6 truncated octahedron, one of the Archimedean polyhedra.

7 ut also for determining the alignment of the polyhedra.

8 or Ca/Au/Bi mixtures to give 16-atom Friauf polyhedra.

9 of bridging ligands in soluble metal-organic polyhedra.

10 octahedra are completely surrounded by IO(3) polyhedra.

11 nd other topologies containing as many as 60 polyhedra.

12 ahedra, each of which is bonded to six IO(3) polyhedra.

13 iO(6) octahedron that is linked to six IO(3) polyhedra.

14 use any net change in the metal coordination polyhedra.

15 dral symmetry only in half of the individual polyhedra.

16 dues based on calculations with Voronoi-like polyhedra.

17 red static arrays of tiles, linked rings and polyhedra.

18 nt diol dehydratase is associated with these polyhedra.

19 lin inclusions but many fewer than wild-type polyhedra.

20 ching rules for the assembly of Frank-Kasper polyhedra.

21 (12-) , featuring three carbonate-ligated Nb-polyhedra.

22 ionality analysis method by means of Voronoi polyhedra.

23 network of 4-, 5-, and 6-coordinated AlO(x) polyhedra.

24 rranged in overlayed Archimedean or Platonic polyhedra.

25 can be cured and purified to yield colloidal polyhedra.

26 ional structure of corner-shared Al(BO3 )3 O polyhedra.

27 we construct a reference library of regular polyhedra.

28 nation common to smaller and higher-symmetry polyhedra.

29 he discs occupying the faces in the caveolar polyhedra.

30 shared atoms between two linked coordination polyhedra.

31 sional structure of corner-shared Mg(CO3)2F2 polyhedra.

32 sting of corner- and edge-shared UF9 and MF6 polyhedra.

33 produced diverse synthetic three-dimensional polyhedra.

34 engths was used for hierarchical assembly of polyhedra.

35 polyhedra and the relative lack of irregular polyhedra.

36 shell cluster consisting of 68 uranyl peroxo polyhedra, 16 nitrate groups, and ~44 K(+) and Na(+) cat

37 e II porous liquids (PLs) from metal-organic polyhedra, a kind of excellent porous molecular sources,

38 nd orientation, we explore how five distinct polyhedra-a tetrahedron, an octahedron, a cube, a cuboct

39 These metal-organic polyhedra act as supermolecular building blocks when the

40 y corner-sharing capped trigonal planar AgO4 polyhedra, AgO6 capped square pyramids, and AgO6 octahed

41 ts) or mutually catenated entangled compound polyhedra (analogous to links).

42 Metal-organic polyhedra and frameworks (MOPs and MOFs) were prepared b

43 suited to the functional requirements of the polyhedra and has been either preserved or re-selected d

44 agonal assembly of 25 Zr-oxy/peroxo/hydroxyl polyhedra and is the largest Zr/Hf cluster topology iden

45 he basic structures for linking squares into polyhedra and networks (reticulation) are enumerated, an

46 (2+) ions preferably occupy RbO(6) and YO(6) polyhedra and show the characteristic red emission band

47 bbons and tubes, three-dimensional crystals, polyhedra and simple finite two-dimensional shapes.

48 gher ratio of corner-sharing to edge-sharing polyhedra and that exhibit highly localized electronic b

49 particular the abundance of regular Voronoi polyhedra and the relative lack of irregular polyhedra.

50 cavities in these double-shell metal-organic polyhedra and their inner/outer binding sites provide pe

51 t low temperatures, resulting in isolated Na polyhedra and thus much lower ionic conductivity.

52 (closo deltahedra), 5n (closed, three-bonded polyhedra) and 6n (crown-like structures).

53 rame structures, including 2D arrays, tubes, polyhedra, and multi-layer 3D arrays.

54 synthesis of colloidal SnS cubes, spherical polyhedra, and sheets and demonstrate their activity for

55 ple for maximizing the yield of self-folding polyhedra; and (ii) shortest paths from 2D nets to 3D po

56 individually within cubic inclusion bodies (polyhedra, approximately 100 nm across), although two to

57 iency (AQE) of 6.1 % for OER compared to the polyhedra (AQE: 1.6 %) and SrTaO2 N polycrystals (AQE: 0

58 ents confirmed the internal cavities of such polyhedra are accessible.

59 , single-crystalline SrTaO2 N nanoplates and polyhedra are achieved selectively.

60 ayer of TiO(2) stoichiometry in which TiO(5) polyhedra are arranged into edge-shared structures, in c

61 The polyhedra are based on concentric shells of alternating

62 hombic polyhedra, the 6gon faces in Goldberg polyhedra are equilateral and planar but not equiangular

63 also the fact that the 9-coordinated CeO(9) polyhedra are expected to be geometrically more complian

64 Polyhedra are formed during either aerobic or anaerobic

65 ous responses of single atoms and also major polyhedra are found to change greatly with increasing ex

66 cturally related to corundum, but the AlO(6) polyhedra are highly distorted, with the interatomic bon

67 Uranyl peroxide polyhedra are known to self-assemble into complex closed

68 The edges of the Pt-rich PtNi3 polyhedra are maintained in the final Pt3Ni nanoframes.

69 nd faceted viruses, the icosahedral Goldberg polyhedra are nearly spherical.

70 tructure, such that the side-by-side aligned polyhedra are offset by 158 degrees.

71 To achieve this, coordination polyhedra are parameterized as FSBs and a simple empiric

72 ted GaO(4), four-connected GaO(4) and GaO(6) polyhedra are probed for the parent La(3)Ga(5)GeO(14) st

73 4, where topological low coordination number polyhedra are still observed around the critical cavity.

74 Polyhedra are ubiquitous in chemistry, biology, mathemat

75 protein crystals, termed occlusion bodies or polyhedra, are dense protein assemblies that form a crys

76 dra, including some Archimedean and Platonic polyhedra, arise spontaneously in elastic shells formed

77 Natural protein crystals (polyhedra) armour certain viruses, allowing them to surv

78 e group Cmcm) features the same coordination polyhedra around tin and lithium as previously predicted

79 e full icosahedra (around Cu) and Z16 Kasper polyhedra (around Zr), contribute the least.

80 ormulate the generation of dense packings of polyhedra as an optimization problem, using an adaptive

81 ironment space cannot be tiled with singular polyhedra as in cage compounds (e.g., clathrates).

82 onent microscopic shells buckle into various polyhedra, as observed in many organelles.

83 single-crystalline nanoboxes of gold: hollow polyhedra bounded by six [100] and eight [111] facets.

84 arge-transfer excitation distorts the TiO(6) polyhedra by altering the local charge density occupancy

85 hows that monodisperse, atomically smooth Ag polyhedra can self-assemble into uniform interparticle g

86 ties from those of the initial metal-organic polyhedra can thus lead to new metal-organic polyhedra w

87 Polyhedra, complex topological objects, a nanomechanical

88 wireframe RNA-scaffolded origami rendered as polyhedra composed of dual-duplex edges.

89 The structure consists of REO6 and REO2F4 polyhedra connected by Si4O10 sheets with a previously u

90 s a mixture of distorted Ti-O(5) and Ti-O(6) polyhedra connected via 71% corner-sharing and 23% edge-

91 It is proposed that the polyhedra consist of AdoCbl-dependent diol dehydratase (

92 DNA polyhedra consist of an internal void bounded by a well-

93 tachment of cucurbit[n]uril to metal organic polyhedra constitutes a promising vehicle for the develo

94 method of positioning the dividing plane in polyhedra construction, and (iv) the set of structures u

95 led edges characteristic of wild-type AcMNPV polyhedra, contained fractures, and occluded few virions

96 tructure can be viewed as nested, concentric polyhedra, containing a total of five forms of Archimede

97 such as porous organic cages, metal-organic polyhedra, covalent organic frameworks and zeotype mater

98 on and structure determination of nano-sized polyhedra crystal (PhC) at a high resolution of 1.80 ang

99 Using the precision of Voronoi Polyhedra/Delauney Tessellations to identify contacts, t

100 th Bergman clusters emerging as Ca-Cd Friauf polyhedra (derived from the MgZn2-type CaCd2 phase) enca

101 assembly of size-controlled triply periodic polyhedra, discrete variants of the Primitive, Diamond,

102 Metal-organic polyhedra-discrete molecular architectures constructed t

103 nstructed from totally face-enclosed organic polyhedra displaying a precise uniform micropore size of

104 o the assembly of the first titanium-organic polyhedra displaying permanent porosity.

105 es in these systems have a signature Voronoi polyhedra distribution that is defined by lognormal curv

106 ar proteins by approximating them to various polyhedra (dodecahedron, truncated octahedron, icosahedr

107 al embeddings of the edge-graphs of Platonic polyhedra, {f, z}, where f, z denote the number of edges

108 -prepared Sr2 Ta2 O7 nanoplates and SrTaO2 N polyhedra form by flux-assisted nitridation of the nanop

109 olds of Wigner-Seitz cells with many-faceted polyhedra, forming an important bridge between the simpl

110 The analysis extends to the "theta(z) " polyhedra, [Formula: see text] The vertices of these sym

111 d to study the chemical bonding in the boron polyhedra found in other structures including neutral bi

112 these PF mutants exhibited the traits of few polyhedra (FP) mutants; however, no large DNA insertions

113 ace geometry during the self-assembly of DNA polyhedra from branched DNA nanomotifs (tiles).

114 e self-folding of submillimeter-scale higher polyhedra from two-dimensional nets.

115 ting, the possibility of buckling into other polyhedra has not been explored.

116 metallosupramolecular cages known as M12L24 polyhedra have been adapted to serve as nanometer-scale

117 sses comprising continuously linked [AlO(x)] polyhedra have been prepared in only a few systems under

118 It is also shown that only 11 such polyhedra have faces that are regular polygons; these po

119 tubifying the edges of conventional Platonic polyhedra, have (chiral) symmetries 2fz (I, O, and T), w

120 king Platonic, Archimedean and even Goldberg polyhedra, however, nesting multiple polyhedra in one cl

121 polyhedra overlap with those of the Platonic polyhedra; however, their helicity requires curvilinear

122 res, in contrast to the corner-shared TiO(6) polyhedra in bulk.

123 Simple polyhedra in crystalline compounds are often deformed du

124 of manipulating the chemistry of homoleptic polyhedra in heteroanionic compounds for electronic stru

125 by kinetic pathways comprising distorted Li polyhedra in metastable intermediates along two-phase bo

126 The progressive opening of the H(24) polyhedra in MH(6) phases is shown to arise from interna

127 oldberg polyhedra, however, nesting multiple polyhedra in one cluster is challenging, not only for sy

128 nalogous to the condensation of coordination polyhedra in oxide frameworks.

129 c interference zones are limited to isolated polyhedra in the 1, 2 and 4 positions and the alpha face

130 three edges, respectively, with neighbouring polyhedra in the brannerite structure.

131 ; and (ii) shortest paths from 2D nets to 3D polyhedra in the configuration space are important for r

132 er molecules occupy the cavities between the polyhedra in the intergrowth layer.

133 re relationship and the role of flexible VOx polyhedra in the structural switching process.

134 features edge-sharing between the Ti and Bi polyhedra, in contrast to the dominant corner-linking of

135 n migration pathways formed via face-sharing polyhedra-in dictating Na ion diffusion.

136 tion metal compounds composed of homoanionic polyhedra, including nitrides, oxides, and fluorides.

137 We show here that irregular and regular polyhedra, including some Archimedean and Platonic polyh

138 the 5 Platonic polyhedra, the 13 Archimedean polyhedra--including the truncated icosahedron or soccer

139 ves rise to new sulfur-centered coordination polyhedra, increases structural inhomogeneity, changes e

140 recting the self-assembly of uranyl peroxide polyhedra into closed clusters.

141 cture adopted by the SnS cubes and spherical polyhedra is expanded along the a and b axes and contrac

142 ecules embed CPV particles inside infectious polyhedra is not known.

143 on, the rearrangement of the Fe coordination polyhedra is unique such that all available FeOn units (

144 These polyhedra lacked the beveled edges characteristic of wil

145 comprises bicapped trigonal prismatic PuS(8) polyhedra linked in chains through edge-sharing interact

146 A ring consisting of 40 uranyl polyhedra linked into five-membered rings and 16 nitrate

147 or channels lined with fluoride ions, metal polyhedra, M(O,F)(n), linked through vertex, edge, or fa

148 s linked by Cu(24) L(24) metal-organic cages/polyhedra (MOCs) with coumarin ligands.

149 lf-assembled Pd(12)L(24) metal-organic cages/polyhedra (MOCs): simple mixing of a catalyst-ligand of

150 rst superassembly of nanosized metal-organic polyhedra (MOP) and their biomimetic coatings of lipid b

151 (isophthalic acid)(24) Cu(24) metal-organic polyhedra (MOP) as a core protected by 24 polymer chains

152 de), to modulate the growth of metal-organic polyhedra (MOP) crystals.

153 polar n-dodecyl-functionalized metal-organic polyhedra (MOP-18) in polar liquid pillar[5]arene (P5-L)

154 Metal-organic polyhedra (MOPs) are hybrid organic-inorganic nanomolecu

155 he synthesis of this series of metal-organic polyhedra (MOPs) employs sulfate-capped oxygen-centered

156 Metal-organic polyhedra (MOPs) have been incorporated into silica nano

157 Porous metal-organic polyhedra (MOPs) have strong covalent and coordinate bon

158 Metal-organic polyhedra (MOPs) or frameworks (MOFs) based on Cr(3+) ar

159 -linking DNA with Rh(II)-based metal-organic polyhedra (MOPs), which entails coordination of DNA to t

160 transfers to encompass porous metal-organic polyhedra (MOPs).

161 d by covalent cross-linking of metal-organic polyhedra (MOPs).

162 k with permanently microporous metal-organic polyhedra (MOPs).

163 'glue' to link organic ligands together into polyhedra.Most of the architectures employed thus far ha

164 space-filling arrangements of most discrete polyhedra nanostructures of the same shape is not possib

165 oublets, triangles, and tetrahedra to exotic polyhedra not found in infinite lattice packings, molecu

166 shape measures analysis of the coordination polyhedra of a host of transition metal complexes with b

167 enyl) links to yield five highly crystalline polyhedra of general formula [NH2(CH3)2]8[Fe12O4(-)(SO4)

168 erein the reconfiguration of the system into polyhedra of increasing volume asymmetry delays the onse

169 that will enforce the formation of specific polyhedra of metals within the core of the structure.

170 We have determined the structure of polyhedra of the baculovirus Autographa californica mult

171 Cd interactions simultaneously in the Friauf polyhedra of the nearby Laves phase CaCd2.

172 le, we entropically reshape the coordination polyhedra of the particles in the system, a change that

173 d that, in contrast to what happens in bulk, polyhedra often pack less densely than spheres.

174 loying pre-selected 0-periodic metal-organic polyhedra or 2-periodic metal-organic layers, SBBs or SB

175 the functionalization of CC protein origami polyhedra or CC-based bionanomaterials.

176 unique relationship between edge-transitive polyhedra or layers and minimal edge-transitive 3-period

177 n into more elaborate building units (namely polyhedra or layers) to (i) elucidate the unique relatio

178 ext] The vertices of these symmetric tangled polyhedra overlap with those of the Platonic polyhedra;

179 Millimeter-size polyhedra-patterned with logic devices, wires, and solde

180 ed RE clusters are replaced by metal-organic polyhedra, peripherally functionalized so as to have the

181 ded virions (odv-e25, odv-e66, odv-e18), and polyhedra (polyhedrin/granulin, p10, pp34, and fp25k).

182 erefore, remarkable that both AcMNPV and CPV polyhedra possess identical crystal lattices and crystal

183 n be viewed as a combination of coordination polyhedra present in the nearest binary phases in the Ca

184 cosahedron or soccer ball--and the 2 rhombic polyhedra reported by Johannes Kepler in 1611.

185 eometries, those containing 24 and 28 uranyl polyhedra, respectively, show that the capsules-like clu

186 Clusters built from 32 uranyl peroxide polyhedra self-assemble and crystallize within 15 min af

187 system is littered, however, with distorted polyhedra-shards of rock and ice produced by ubiquitous

188 ected at distances suggesting that Am and Fe polyhedra share corners in geometries ranging from bent

189 emely tetragonally elongated octahedron; the polyhedra share oxide vertexes.

190 f this structure to baculovirus or cypovirus polyhedra shows a distinct protein structure, crystal sp

191 an unusual wheel-shaped node of 18 neptunyl polyhedra stabilized in the framework.

192 onal and three-dimensional platelets, rings, polyhedra, stars, and more.

193 face, thus resulting in well-structured DNA polyhedra/STV complexes.

194 ells with two elastic components buckle into polyhedra such as dodecahedra, octahedra, tetrahedra, an

195 and empty (no RNA) capsids were found inside polyhedra, suggesting a spontaneous RNA encapsidating pr

196 ree-dimensional arrangement of Ca(-COO, -OH) polyhedra supporting one-dimensional pores with aperture

197 ed by the disruption of connectivity between polyhedra (TaO6 octahedra or TaO7 bipyramids) at the par

198 he structure into 'natural tiles' or Voronoi polyhedra that are metastable and, consequently, tempora

199 for one-step self-assembly of wireframe DNA polyhedra that are more massive than most previous struc

200 The 4 of these 11 polyhedra that are not known to have been published prev

201 ality of the number of discrete coordination polyhedra that constitute the structural building units

202 eferred structures for four families of hard polyhedra that match, in every instance, previous simula

203 ined in terms of the "cross-bracing" between polyhedra that occurs as a result of the phase transitio

204 f Tl tetrahedra along c are constructed from polyhedra that share opposed like edges, and these are i

205 i cells, i.e., similarly-sized 'sphere-like' polyhedra that tile space are preferred.

206 dic anion-vacancy order to generate multiple polyhedra that together with cation order produce a pola

207 ahedral, and icosahedral--are the 5 Platonic polyhedra, the 13 Archimedean polyhedra--including the t

208 Like the faces in Kepler's rhombic polyhedra, the 6gon faces in Goldberg polyhedra are equi

209 n number architectures starting from regular polyhedra through pseudosymmetrization of trimeric build

210 tegy based on space-filling tessellations of polyhedra to create three-dimensional reconfigurable mat

211 A pentamer and hexamer from conical CA-IP(6) polyhedra to ~3 angstrom resolution.

212 metalates, polyoxocations, and metal-organic polyhedra), to the mesoscale (supramolecular assembly pr

213 The starting material, crystalline PtNi3 polyhedra, transforms in solution by interior erosion in

214 the connection of isolated LnO(6)(H(2)O)(3) polyhedra (tricapped trigonal prism) through the mellita

215 the capsid changes from spherical to faceted polyhedra, two modes are necessary to accomplish the con

216 roup, and unit cell dimensions, however, all polyhedra utilise common principles of occlusion body as

217 gands and building blocks of condensed metal polyhedra, we recently reported a one-dimensional nickel

218 bound together: self-assembled symmetric DNA polyhedra were used to organize proteins in 3D space.

219 triperoxide or uranyl dihydroxidediperoxide polyhedra, were only realized within the last decade.

220 Bi stabilizes the Ti-polyhedra, which are synergistically stabilized by the b

221 ructure of corner-shared MgO4, PO4, and TeO6 polyhedra, which form a [TeMg3P2O14]infinity framework.

222 ar capsids than wild type and more irregular polyhedra, which tend to be larger than in the wild type

223 Here we add a fourth class, "Goldberg polyhedra," which are also convex and equilateral.

224 Tangled Platonic {f, z} polyhedra-which cannot lie on the sphere without edge-cr

225 We investigated 145 convex polyhedra whose assembly arises solely from their anisot

226 us, truncated tetrahedral and heterocuboidal polyhedra, whose pore size and functionality can be syst

227 l graphs are those of the classical Platonic polyhedra, whose symmetries are *2fz, according to Conwa

228 ric Ag(90) ball contains three concentric Ag polyhedra with apparently incompatible symmetry.

229 rising corner-sharing PbCl(4)(eta(2)-COO)(2) polyhedra with bridging equatorial chlorides and termina

230 l assemblies of molecules are packed to form polyhedra with coordination numbers 12, 14, 15 or 16.

231 polyhedra can thus lead to new metal-organic polyhedra with distinct properties (including size and s

232 ent here suggests that we can design faceted polyhedra with diverse symmetries by coassembling opposi

233 s with architectures that resemble different polyhedra with icosahedral symmetry.

234 wever, stereospecific assembly of artificial polyhedra with mechanical properties and guest-binding a

235 rom supramolecular, Fe(3+)-hydroxamate-based polyhedra with mononuclear metal nodes.

236 ereby extending the ability to functionalize polyhedra with nanobodies in a desired stoichiometry.

237 of still more classes of convex equilateral polyhedra with polyhedral symmetry.

238 Selective occupation of Eu(2+) in inorganic polyhedra with small coordination numbers results in bro

239 Metal-organic polyhedra with surface-exposed organic groups have been

240 es, including irregular, asymmetric DX-based polyhedra with variable edge lengths and vertices demons

241 We investigate simple systems of hard polyhedra, with no interactions aside from volume exclus

242 Self-assembly of millimeter-scale polyhedra, with surfaces patterned with solder dots, wir

243 nt network of As(V)/P coordinated to Fe(III) polyhedra, with varying amounts of Ca bound directly and

244 the smallest cytoplasmic polyhedrosis virus polyhedra yet characterized, which we failed to solve at