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Journal articles on the topic 'Prismatic polyhedron'

Author: Grafiati

Published: 7 July 2024

Last updated: 31 July 2025

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1

Miyazaki, Yuzuru, Naoki Igawa та Kunio Yubuta. "Incommensurately modulated crystal structure of α′ (O′3)-type sodium cobalt oxide Na x CoO2 (x ∼ 0.78)". Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 77, № 3 (2021): 371–77. http://dx.doi.org/10.1107/s205252062100370x.

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A single-phase sample of α′ (O′3)-type layered sodium cobalt oxide Na x CoO2 (x ∼ 0.78) was prepared and its incommensurately modulated crystal structure was analyzed using the (3+1)-dimensional superspace approach to the powder neutron diffraction data. The crystal structure of the cobaltate is accurately described based on the superspace group C2/m(α0γ)00, wherein the positions of Na atoms are most significantly modulated in the monoclinic a direction to form an ordered arrangement. Such a displacive modulation causes a quasi-periodic shift of Na atoms from the centers of the NaO6 polyhedra

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2

Stetskiv, Andrij, Beata Rozdzynska-Kielbik, Renata Misztal, and Volodymyr Pavlyuk. "Grown from lithium flux, the ErCo5Si3.17silicide is a combination of disordered derivatives of the UCo5Si3and Yb6Co30P19structure types." Acta Crystallographica Section C Structural Chemistry 71, no. 6 (2015): 506–10. http://dx.doi.org/10.1107/s2053229615009791.

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A ternary hexaerbium triacontacobalt enneakaidecasilicide, ErCo5Si3.17, crystallizes as a combination of disordered variants of the hexagonal UCo5Si3(P63/m) and Yb6Co30P19(P-6) structure types and is closely related to the Sc6Co30Si19and Ce6Rh30Si19types. The Er, Co and three of the Si atoms occupy sites ofm.. symmetry and a fourth Si atom occupies a site of -6.. symmetry. The environment of the Er atom is a 21-vertex pseudo-Frank–Kasper polyhedron. Trigonal prismatic coordination is observed for the Si atoms. The Co atoms are enclosed in heavily deformed cuboctahedra and 11-vertex polyhedra.

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3

Stetskiv, Andrij, Renata Misztal, and Volodymyr Pavlyuk. "Crystal and electronic structures of La2LiGe6−x(x= 0.21) and La2LiGe4Si2." Acta Crystallographica Section C Crystal Structure Communications 68, no. 8 (2012): i60—i64. http://dx.doi.org/10.1107/s0108270112031526.

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The synthesis and characterization of a new ternary dilanthanum lithium hexagermanide, La2LiGe6−x(x= 0.21), belonging to the Pr2LiGe6structure type, and a quaternary dilanthanum lithium tetragermanium disilicide, La2LiGe4Si2, which crystallizes as an ordered variant of this type, are reported. In both structures, Li is on a site ofmmmsymmetry. All other atoms are on sites ofm2msymmetry. These structures are new representatives of a homologous linear structure series based on structural fragments of the AlB2, CaF2and ZrSi2structure types. The observed 17-vertex polyhedra are typical for La atom

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4

Vovk, O. P., I. M. Naumko, and H. O. Zankovych. "Pseudosymmetry of Quartz Crystals and Its Mineralogical and Genetical Significance." Mineralogical Journal 47, no. 1 (2025): 33–44. https://doi.org/10.15407/mineraljournal.47.01.033.

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The pseudosymmetry of quartz crystals is described based on the example of "Marmarosh diamonds" a newly identified genetic type of quartz — skeletal crystals with hydrocarbon inclusions. All theoretically possible morphological types of pseudosymmetry in quartz crystals are discussed: L33L2, L33L23PC, L66L27PC, L3, L2PC, C, L33P, L22P, L2, L66P, 3L23PC, L22P, P, — . The most common types include L66L27PC, L33L23PC, 3L23PC, and P. Distinct symmetry elements, which manifest depending on formation conditions, include the L3 axis, L2 axes, pseudo-L6 axes, pseudo-L2 axes, and pseudo-planes. Quartz

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Xu, Jianjun, He Xu, Dongming Yan, Kai Chen, and Degao Zou. "A Novel Calculation Method of Hydrodynamic Pressure Based on Polyhedron SBFEM and Its Application in Nonlinear Cross-Scale CFRD-Reservoir Systems." Water 14, no. 6 (2022): 867. http://dx.doi.org/10.3390/w14060867.

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Hydrodynamic pressure is an important factor that cannot be ignored in the seismic safety evaluation of dams. However, when the polyhedron-scaled boundary finite element method is used to simulate dams in a cross-scale dynamic analysis, polygonal surfaces often appear on the upstream face of dams, which is difficult to deal with for conventional methods of hydrodynamic pressure. In this paper, a three-dimensional calculation method of hydrodynamic pressure based on the polyhedron-scaled boundary finite element method is proposed, in which polygon (triangle, quadrilateral, pentagon, hexagon, he

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6

Amarante, Eduardo Menezes de Souza, and Edson Emanoel Starteri Sampaio. "Analysis of magnetic field components anomalies due to homogeneous polyhedrons." Brazilian Journal of Geophysics 39, no. 1 (2021): 85. http://dx.doi.org/10.22564/rbgf.v38i3.2078.

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ABSTRACT. A procedure for determining semi-analytical expressions for the magnetic fields caused by homogeneous polyhedral bodies based on Green's theorem has been developed. It constitutes a modification of previous developments for the gravity field of three-dimensional bodies and employs the discretization of the faces of the polyhedron by triangles and the definition of local coordinates for each triangle. A maximum misfit of less than 1.0% between the values computed with these analytical expressions and those obtained with closed expressions for prismatic bodies, applied to a homogeneous

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7

Hossain, G. M. Golzar, та A. J. Amoroso. "Bis[4-amino-N-(4-methylpyrimidin-2-yl-κN3)benzenesulfonamidato-κN](2,2′-bipyridine-κ2N,N′)mercury(II)". Acta Crystallographica Section E Structure Reports Online 70, № 4 (2014): m127—m128. http://dx.doi.org/10.1107/s1600536814004760.

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The complete molecule of the title complex, [Hg(C11H11N4O2S)2(C10H8N2)], is generated by crystallographic twofold symmetry, with the mercury cation lying on the rotation axis. The mercury coordination polyhedron can be described as tetrahedral (from theN,N′-bidenate bipyridine molecule and the sulfonamide N atoms of the sulfamerazine anions) or as squashed trigonal-prismatic, if two long (> 2.80 Å) Hg—N bonds to pyrimidine N atoms are included. The dihedral angle between the aromatic rings in the anion is 73.3 (2)°. In the crystal, N—H...(N,O) and N—H...N hydrogen bonds link the molecules i

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8

Prytula-Kurkunova, Angelina Yu, Victor A. Trush, Viktoriya V. Dyakonenko, Tetyana Yu Sliva та Vladimir M. Amirkhanov. "Tris(N-{bis[methyl(phenyl)amino]phosphoryl}benzenesulfonamidato-κ2O,O′)(1,10-phenanthroline-κ2N,N′)lanthanum(III)". Acta Crystallographica Section E Crystallographic Communications 73, № 7 (2017): 1076–81. http://dx.doi.org/10.1107/s2056989017008970.

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The asymmetric unit of [La(C20H21N3O3PS)3(C12H8N2)] is created by one LaIIIion, three deprotonatedN-{bis[methyl(phenyl)amino]phosphoryl}benzenesulfonamidate (L−) ligands and one 1,10-phenanthroline (Phen) molecule. Each LaIIIion is eight-coordinated (6O+2N) by three phosphoryl O atoms, three sulfonyl O atoms of threeL−ligands and two N atoms of the chelating Phen ligand, leading to the formation of six- and five-membered metallacycles, respectively. The lanthanum coordination polyhedron has a bicapped trigonal–prismatic geometry. `Sandwich-like' intramolecular π–π stacking interactions are obs

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9

Shah, Jay A., Samuel R. Miller, Shaphan R. Jernigan, and Gregory D. Buckner. "A Permanent Magnet Synchronous Spherical Motor for High-Mobility Servo-Actuation." Machines 10, no. 8 (2022): 612. http://dx.doi.org/10.3390/machines10080612.

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The development of direct-drive spherical motors offers a potential solution to the limitations of conventional multiple degree-of-freedom (DOF) actuators, which typically utilize single-DOF joints (rotational and/or prismatic), arranged in series or parallel and powered by multiple single-DOF actuators. These configurations can be accompanied by kinematic singularities, backlash, limited power density and efficiency, and computationally expensive inverse kinematics. This paper details the design, fabrication and experimental testing of permanent magnet synchronous spherical motors (PMSSM) for

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10

Gourdon, O., V. Petricek, and M. Evain. "A new structure type in the hexagonal perovskite family; structure determination of the modulated misfit compound Sr9/8TiS3." Acta Crystallographica Section B Structural Science 56, no. 3 (2000): 409–18. http://dx.doi.org/10.1107/s0108768100002160.

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Sr9/8TiS3, strontium titanium sulfide, a new phase in the hexagonal perovskite-like Sr x TiS3 system, has been prepared and its structure solved from single-crystal X-ray data within the (3 + 1)-dimensional [(3 + 1)D] formalism. Sr9/8TiS3 crystallizes with trigonal symmetry [R3¯m(00γ)0s superspace group], with the following lattice parameters: a s = 11.482 (3), c s = 2.9843 (8) Å, q = 0.56247 (7)c* and V s = 340.7 (3) Å3. The structure was considered as commensurate [R3¯c three-dimensional (3D) space group], but refined within the (3 + 1)D formalism to a residual factor R = 2.79% for 64 parame

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11

Stamatatos, Theocharis C., Eugenia Katsoulakoua, Vassilios Nastopoulos, Catherine P. Raptopoulou, Evy Manessi-Zoupa, and Spyros P. Perlepes. "Cadmium Carboxylate Chemistry: Preparation, Crystal Structure, and Thermal and Spectroscopic Characterization of the One-dimensional Polymer [Cd(O2CMe)(O2CPh)(H2O)2]n." Zeitschrift für Naturforschung B 58, no. 11 (2003): 1045–54. http://dx.doi.org/10.1515/znb-2003-1103.

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Compound [Cd(O2CMe)(O2CPh)(H2O)2]n (1) was initially obtained in a serendipitous way during efforts to prepare a CdII /PhCO2 −/bepy complex (bepy = 2-benzoylpyridine). With the identity of 1 established by single-crystal X-ray crystallography, a rational preparative route to this complex was designed and carried out by reacting Cd(O2CMe)2·2H2O with a slight excess of PhCOOH in MeCN under reflux. The crystal structure of 1 consists of isolated zig-zag chains. The CdII atom is coordinated to five carboxylate and two aqua oxygen atoms creating a distorted, capped trigonal prismatic coordination p

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12

Pekov, Igor V., Natalia V. Zubkova, Vladimir N. Apollonov, Vasiliy O. Yapaskupt, Sergey N. Britvin, and Dmitry Yu Pushcharovsky. "A New Mineral Calcioveatchite, SrCaB11O16(OH)5·H2O, and the Veatchite–Calcioveatchite Isomorphous Series." Minerals 14, no. 9 (2024): 901. http://dx.doi.org/10.3390/min14090901.

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The new mineral calcioveatchite, ideally SrCaB11O16(OH)5·H2O, is a Ca-Sr-ordered analogue of veatchite. It was found at the Nepskoe potassium salt deposit, Irkutsk Oblast, Siberia, Russia in halite-sylvite and sylvite-carnallite rocks, with boracite, hilgardite, kurgantaite, hydroboracite, volkovskite, veatchite, anhydrite, magnesite, and quartz. Calcioveatchite forms prismatic or tabular crystals up to 1 × 1.5 × 3 mm3 and crystal clusters up to 3 mm across. It is transparent and colourless with vitreous lustre. Calcioveatchite is brittle, cleavage is perfect on {010}, the Mohs’ hardness is ca

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13

Schumer, Benjamin N., Hexiong Yang, and Robert T. Downs. "Natropalermoite, Na2SrAl4(PO4)4(OH)4, a new mineral isostructural with palermoite, from the Palermo No. 1 mine, Groton, New Hampshire, USA." Mineralogical Magazine 81, no. 4 (2017): 833–40. http://dx.doi.org/10.1180/minmag.2016.080.133.

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AbstractNatropalermoite, ideally Na2SrAl4(PO4)4(OH)4, the Na-analogue of palermoite, is a new mineral from the Palermo No. 1 mine, Groton, New Hampshire, USA. Associated minerals are palermoite, eosphorite and quartz. Natropalermoite crystal sare prismatic with striations parallel to the direction of elongation (the a axis) up to 200 μm × 50 μm × 45 μm in size. The mineral is colourless, transparent with a white streak and vitreous lustre and is visually indistinguishable from palermoite. It is brittle with subconchoidal fracture and has a Mohs hardness of 5.5. Cleavage is perfect on {001}, fa

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14

Gregório, Thaiane, Siddhartha O. K. Giese, Giovana G. Nunes, Jaísa F. Soares, and David L. Hughes. "Crystal structures of two mononuclear complexes of terbium(III) nitrate with the tripodal alcohol 1,1,1-tris(hydroxymethyl)propane." Acta Crystallographica Section E Crystallographic Communications 73, no. 2 (2017): 278–85. http://dx.doi.org/10.1107/s2056989017001116.

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Two new mononuclear cationic complexes in which the TbIIIion is bis-chelated by the tripodal alcohol 1,1,1-tris(hydroxymethyl)propane (H3LEt, C6H14O3) were prepared from Tb(NO3)3·5H2O and had their crystal and molecular structures solved by single-crystal X-ray diffraction analysis after data collection at 100 K. Both products were isolated in reasonable yields from the same reaction mixture by using different crystallization conditions. The higher-symmetry complex dinitratobis[1,1,1-tris(hydroxymethyl)propane]terbium(III) nitrate dimethoxyethane hemisolvate, [Tb(NO3)2(H3LEt)2]NO3·0.5C4H10O2,1

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15

Plášil, J., K. Fejfarová, M. Novák, et al. "Bêhounekite, U(SO4)2(H2O)4, from Jáchymov (St Joachimsthal), Czech Republic: the first natural U4+ sulphate." Mineralogical Magazine 75, no. 6 (2011): 2739–53. http://dx.doi.org/10.1180/minmag.2011.075.6.2739.

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AbstractBêhounekite, orthorhombic U(SO4)2(H2O)4, is the first natural sulphate of U4+. It was found in the Geschieber vein, Jáchymov (St Joachimsthal) ore district, Western Bohemia, Czech Republic, crystallized on the altered surface of arsenic and associated with kaatialaite, arsenolite, claudetite, unnamed phase UM1997-20-AsO:HU and gypsum. Bêhounekite most commonly forms short-prismatic to tabular green crystals, rarely up to 0.5 mm long. The crystals have a strong vitreous lustre and a grey to greenish grey streak. They are brittle with an uneven fracture and have very good cleavage along

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16

Ren, Zhengyong, Huang Chen, Chaojian Chen, Yiyuan Zhong, and Jingtian Tang. "New analytical expression of the magnetic gradient tensor for homogeneous polyhedrons." GEOPHYSICS 84, no. 3 (2019): A31—A35. http://dx.doi.org/10.1190/geo2018-0741.1.

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We have developed a new analytical expression for the magnetic-gradient tensor for polyhedrons with homogeneous magnetization vectors. Instead of performing the direct derivative on the closed-form solutions of the magnetic field, it is obtained by first transforming the volume integrals of the magnetic-field tensor into surface integrals over polyhedral facets, in terms of the gradient theorem. Second, the surface divergence theorem transforms the surface integrals over polyhedral facets into edge integrals and structure-simplified surface integrals. Third, we develop analytical expressions f

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17

Kampf, A. R., F. Colombo, and J. González del Tánago. "Carlhintzeite, Ca2AlF7·H2O, from the Gigante granitic pegmatite, Córdoba province, Argentina: description and crystal structure." Mineralogical Magazine 74, no. 4 (2010): 623–32. http://dx.doi.org/10.1180/minmag.2010.074.4.623.

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AbstractCarlhintzeite, Ca2AlF7·H2O, has been found at the Gigante pegmatite, Punilla Department, Córdoba Province, Argentina. It occurs as colourless prismatic crystals up to 0.8 mm long, ubiquitously twinned on {001}. Electron microprobe analyses provided the empirical formula Ca1.98Al1.02F6.24(OH)0.76·H1.62O. A crystal fragment used for the collection of structure data provided the triclinic, C1̄ cell: a = 9.4227(4), b = 6.9670(5), c = 9.2671(7) Å, α = 90.974(6), β = 104.802(5), γ = 90.026(6)°, V = 558.08(7) Å3 and Z = 4. The crystal structure, solved by direct methods and refined to R1 = 0.

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18

Zhao, Shanrong, Jin Tan, Jiyang Wang, Xiaobo Hu, and Hong Liu. "Triangular dendrites of LiAlSiO4–SiO2: evolution between threefold- and sixfold-symmetric morphologies." Journal of Applied Crystallography 35, no. 4 (2002): 455–58. http://dx.doi.org/10.1107/s0021889802008038.

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A special kind of triangular dendrite of LiAlSiO4–SiO2(or Li1−xAl1−xSi1+xO4, 0 ≤x≤ 1) in matt glaze has been observed by DIC (differential interference contrast) microscopy. This triangular dendrite is β-quartz with a sixfold-symmetric structure. For polyhedral crystals, a crystal with threefold-symmetric structure prefers to develop a hexagonal prismatic habit rather than a trigonal prismatic habit, because a trigonal prism has a higher surface energy than a hexagonal prism. However, for dendritic crystals, a special kind of triangular dendrite, with a pattern formed by the aggregation of man

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Ren, Zhengyong, Chaojian Chen, Jingtian Tang, et al. "Closed-form formula of magnetic gradient tensor for a homogeneous polyhedral magnetic target: A tetrahedral grid example." GEOPHYSICS 82, no. 6 (2017): WB21—WB28. http://dx.doi.org/10.1190/geo2016-0470.1.

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A closed-form formula is developed for the full magnetic gradient tensor of a polyhedral body with a homogeneous magnetization vector. It is based on the direct derivative technique on the closed form of the magnetic field. These analytical expressions are implemented into an easy-to-use C++ package which simultaneously calculates the magnetic potential, the magnetic field, and the full magnetic gradient tensor for magnetic targets. Modern unstructured tetrahedral grids are adopted to represent the polyhedral body so that our code can deal with arbitrarily complicated magnetic targets. A prism

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20

Fukunaga, Toshiharu, Keiji Itoh, Kazuhiro Mori, and Masaaki Sugiyama. "Reverse Monte Carlo Modeling of Atomic Configuration for Amorphous Materials." Solid State Phenomena 127 (September 2007): 51–56. http://dx.doi.org/10.4028/www.scientific.net/ssp.127.51.

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Reverse Monte Carlo (RMC) modeling, based on diffraction data, was applied to various kinds of amorphous materials to visualizing the three-dimensional atomic arrangement and to elucidate topological characteristics. For an as-grown amorphous carbon nanocoil, it could be clarified that graphene sheets are winding and the regular ABAB… stacking is lost and the configuration gradually changes to the hexagonal network with great regularity through heat treatment. Voronoi analysis of the RMC model could characterize the atomic configurations for NiZr2 and CuZr2 metallic glasses. The Zr environment

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21

Olexandr, Vovk, Naumko Ihor, Zankovych Halyna, and Kuzmenko Yaroslav. "Comparison of morphology of quartz crystals – “Marmarosh diamonds” – from Paleogene Flysch sequences of Krosno (Silesian) Zone, Dukla Zone in Ukrainian Carpathians, and Intra-Carpathian sequences of Western Carpathians." Mineralia Slovaca 54, no. 2 (2022): 163–74. http://dx.doi.org/10.56623/ms.2022.54.2.3.

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Quartz crystals of “Marmarosh diamonds” type were goniometrically studied in Ukrainian Carpathians from the veins in flysch deposits of Krosno (Silesian) unit (137 crystals, locality 1 – New Beskydy Tunnel) and the Oligocene sediments of the Dukla Zone (77 crystals; loc. 2 – Pryslip pass). They were compared with quartz crystals from intra-Carpathian Paleogene sequences of the Western Carpathians in Slovakia (175 crystals; loc. 3 – Šoltysa stream). The analysis of the obtained results allows to state that the “Marmarosh diamonds” from the studied Ukrainian and Slovak localities are generally s

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22

Ohkubo, Isao, and Takao Mori. "dz2 orbital character of polyhedra in complex solid-state transition-metal compounds." Dalton Transactions 49, no. 2 (2020): 431–37. http://dx.doi.org/10.1039/c9dt04091a.

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d<sub>z2</sub> orbitals of the transition metals make major contributions to electronic structures near the Fermi levels in d<sup>0</sup>-, d<sup>1</sup>-complex transition-metal compounds containing face-sharing, edge-sharing octahedra, or edge-sharing trigonal prismatic layers.

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23

Red, W. E., H. V. Troung-Cao, and K. H. Kim. "Robot Path Planning in Three-Dimensions Using the Direct Subspace." Journal of Dynamic Systems, Measurement, and Control 109, no. 3 (1987): 238–44. http://dx.doi.org/10.1115/1.3143851.

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An efficient subspace approach is used to find collision-free paths in congested workspaces for a general class of robots having revolute and/or prismatic joints. A three-dimensional joint space is formed by mapping the workspace obstacles represented by polyhedral elements into the robot’s primary degrees-of-freedom comprising the first three robot links, also modeled by polyhedral elements. In this approach the secondary degrees-of-freedom (>3), including objects grasped by the robot end-effector, are bounded by a box attached to the distal primary link. The joint space obstacles represen

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24

Плёнкин, А. В., А. Ю. Чернышенко, В. Н. Чугунов, and И. В. Капырин. "Adaptive unstructured mesh generation methods for hydrogeological problems." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 4 (December 18, 2015): 518–33. http://dx.doi.org/10.26089/nummet.v16r449.

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Рассматриваются два сеточных генератора, внедренных в программный комплекс GeRa, предназначенный для решения задач геофильтрации и геомиграции радионуклидов. Это треугольно-призматический генератор с возможностью вырождения ячеек и генератор многогранных сеток с измельчением на основе восьмеричного дерева и возможностями скалывания ячеек. Генераторы позволяют автоматически строить конформные многогранные адаптивные сетки в трехмерных геологических областях с учетом сложной конфигурации внешних границ, кровель и подошв геологических пластов, выклинивания слоев и геологических неоднородностей. T

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25

Kvasnytsya, V. M., O. A. Vyshnevskyi, and Ye V. Naumenko. "Large Nb-Rutile Polyhedra from Chamber Pegmatites of Volyn Region, Ukraine." Mineralogical Journal 46, no. 1 (2024): 20–31. http://dx.doi.org/10.15407/mineraljournal.46.01.020.

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The crystal morphology, chemical composition and mineral inclusions of large Nb-rutile polyhedra from chamber pegmatites of Volyn region were studied. X-ray data for one niobium rutile crystal were also obtained. The sizes of twinned black crystals of the mineral are from 10 to 35 mm. They are interbedded with clevelandite and rare relict microcline. Simple forms of crystals: tetragonal prisms {110} and {100}, dipyramid {111} and sometimes pinacoid {001}. The habit of the crystals is dipyramidal and dipyramidal-prismatic, the shape of the crystals is isometric and short-prismatic. The faces of

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Clark, John E., and Douglas Donne Bryant. "A Technological Typology of Prismatic Blades and Debitage From Ojo de Agua, Chiapas, Mexico." Ancient Mesoamerica 8, no. 1 (1997): 111–36. http://dx.doi.org/10.1017/s0956536100001619.

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AbstractA technological typology for the description and analysis of Mesoamerican obsidian industries is proposed, and its relative merits vis-à-vis Sheets's (1975a) “behavioral” typology are briefly explored. The typology is used to classify and describe a pristine deposit of obsidian-blade refuse recovered from the Early Classic Maya site of Ojo de Agua, Chiapas, Mexico. Analysis of this deposit revealed that the obsidian artifacts were manufacturing refuse resulting from the production of fine prismatic blades from polyhedral cores imported from highland Guatemala. The obsidian refuse was r

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Zhang, Li-Yuan, Song-Xue Li, Shi-Xin Zhu, Bo-Yang Zhang, and Guang-Kui Xu. "Automatically assembled large-scale tensegrities by truncated regular polyhedral and prismatic elementary cells." Composite Structures 184 (January 2018): 30–40. http://dx.doi.org/10.1016/j.compstruct.2017.09.074.

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Engelen, Bernward, Willi Buchmeier, and Heinz Dieter Lutz. "Zur Polymorphie des Cadmiumsulfits, Kristallstrukturen von CdSO3-I, CdSO3-II und CdSO3-III / Polymorphic Cadmium Sulfites, Crystal Structures of CdSO3-I, CdSO3 -II, and CdSO3-III." Zeitschrift für Naturforschung B 42, no. 1 (1987): 37–41. http://dx.doi.org/10.1515/znb-1987-0108.

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The crystal structures of the anhydrous cadmium sulfites CdSO3-I (P21/c, Z=4), CdSO3-II (P21/c, Z=8), and CdSO3-III (R3̄̄, Z=18 for the hexagonal cell) have been determined by means of single crystal X-ray diffraction data. The final R for the 1475, 2349, and 2138 observed reflections are 0.040, 0.034, and 0.073. Coordination of Cd is trigonal-prismatic, a hitherto unknown coordination of Cd in salts of oxoacids, in CdSO3-I and CdSO3-II, and octahedral in CdSO3-III. The CdO6-polyhedra are arranged in two-dimensional (CdSO3-I) and three-dimensional (CdSO3-II and CdSO3-III) networks. SO32- group

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29

Aoyama, Kazuo. "ANCIENT MAYA ECONOMY: LITHIC PRODUCTION AND EXCHANGE AROUND CEIBAL, GUATEMALA." Ancient Mesoamerica 28, no. 1 (2017): 279–303. http://dx.doi.org/10.1017/s0956536116000183.

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AbstractThis article discusses the results of my diachronic analysis of lithic artifacts collected around Ceibal, Guatemala, in order to elucidate one aspect of long-term changing patterns in the pre-Columbian Maya economic systems and warfare. The importation of large polyhedral obsidian cores and local production of prismatic blades began as the result of sociopolitical development in Ceibal during the early Middle Preclassic Real-Xe phase. El Chayal obsidian was heavily used during the early Middle Preclassic period, while San Martín Jilotepeque was the principal source in the late Middle P

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Kvasnytsya, V. M., H. H. Pavlov, O. A. Vyshnevskyi, and I. V. Gurnenko. "Fayalite Crystals From the Slag of an Ancient Smelting Furnace in Volyn Region." Mineralogical Journal 47, no. 1 (2025): 45–54. https://doi.org/10.15407/mineraljournal.47.01.045.

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Fayalite crystals from ancient slag found in Volyn region were studied. Fayalite constitutes the bulk of the slag, less common phases of silicon oxide (metallurgical glass), iron (magnetite), unidentified silicate phase X and individual detrital quartz grains. Fayalite crystals have a predominantly skeletal (case-like) shape in the slag matrix and a close combination of several different morphological types of polyhedrons in its cavities. They are faceted by pinacoid {010} and prisms {021}, {110} and {120}. The habit of the crystals is prismatic, pinacoidal and pinacoidal-prismatic, they are o

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Garekani, H. "Formation and compression characteristics of prismatic polyhedral and thin plate-like crystals of paracetamol." International Journal of Pharmaceutics 187, no. 1 (1999): 77–89. http://dx.doi.org/10.1016/s0378-5173(99)00157-x.

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Taube, Karl A. "Obsidian Polyhedral Cores and Prismatic Blades in the Writing and Art of Ancient Mexico." Ancient Mesoamerica 2, no. 01 (1991): 61–70. http://dx.doi.org/10.1017/s0956536100000377.

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Ren, Zhengyong, Yiyuan Zhong, Chaojian Chen, Jingtian Tang, and Kejia Pan. "Gravity anomalies of arbitrary 3D polyhedral bodies with horizontal and vertical mass contrasts up to cubic order." GEOPHYSICS 83, no. 1 (2018): G1—G13. http://dx.doi.org/10.1190/geo2017-0219.1.

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A new singularity-free analytical formula has been developed for the gravity field of arbitrary 3D polyhedral mass bodies with horizontally and vertically varying density contrast using third-order polynomial functions. First, the observation sites are moved to the origin of the coordinate system. Then, the volume and surface integral theorems are invoked successively to transform the volume integrals into surface integrals over polygonal faces and into line integrals over the edges of the polyhedral mass bodies. Furthermore, singularity-free closed-form solutions are derived for these line in

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Carmello-Guerreiro, Sandra Maria, and Adelita A. Sartori Paoli. "Ontogeny and Structure of the Pericarp of Schinus terebinthifolius Raddi (Anacardiaceae)." Brazilian Archives of Biology and Technology 45, no. 1 (2002): 73–79. http://dx.doi.org/10.1590/s1516-89132002000100012.

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The fruit of Schinus terebinthifolius Raddi is a globose red drupe with friable exocarp when ripe and composed of two lignified layers: the epidermis and hypodermis. The mesocarp is parenchymatous with large secretory ducts associated with vascular bundles. In the mesocarp two regions are observed: an outer region composed of only parenchymatous cells and an inner region, bounded by one or more layers of druse-like crystals of calcium oxalate, composed of parenchymatous cells, secretory ducts and vascular bundles. The mesocarp detaches itself from the exocarp due to degeneration of the cellula

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Werner, C., E. Kemnitza, H. Worzalab, and S. Trojanov. "Synthese und Kristallstruktur von Ba(HSO4)2(H2SO4)3 und Sr(HSO4)2(H2SO4) / Synthesis and Structure of Ba (HSO4)2(H2SO4)3 and Sr(HSO4)2(H2SO4)." Zeitschrift für Naturforschung B 51, no. 7 (1996): 952–58. http://dx.doi.org/10.1515/znb-1996-0708.

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From the binary systems M2SO4/H2SO4 (M = Ba. Sr), two new hydrogen sulfates, (Ba(HSO4)2(H2SO4)3 and Sr(HSO4)2(H2SO4), have been synthesized and structurally characterized.Ba(HSO4)2(H2SO4)3 crystallizes in the orthorhombic space group P21212, with unit cell parameters a = 4.680(1), b = 11.267(2), c = 29.188(6)A, Z = 4. BaO9 trigonal prismatic polyhedra with Ba-O distances of 2.68 - 3.02 Å from nine different SO4 tetrahedra are connected via common bases and build “isolated” columns consisting of O-S-O bridged double chains along the x-axis. HSO4 and H2SO4 tetrahedra are linked via hydrogen bond

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King, R. Bruce. "Systematics of Atomic Orbital Hybridization of Coordination Polyhedra: Role of f Orbitals." Molecules 25, no. 14 (2020): 3113. http://dx.doi.org/10.3390/molecules25143113.

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The combination of atomic orbitals to form hybrid orbitals of special symmetries can be related to the individual orbital polynomials. Using this approach, 8-orbital cubic hybridization can be shown to be sp3d3f requiring an f orbital, and 12-orbital hexagonal prismatic hybridization can be shown to be sp3d5f2g requiring a g orbital. The twists to convert a cube to a square antiprism and a hexagonal prism to a hexagonal antiprism eliminate the need for the highest nodality orbitals in the resulting hybrids. A trigonal twist of an Oh octahedron into a D3h trigonal prism can involve a gradual ch

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Furukawa, Yoshinori, Ken Nagashima, Shunichi Nakatsubo, Salvador Zepeda, Ken-ichiro Murata, and Gen Sazaki. "Crystal-plane-dependent effects of antifreeze glycoprotein impurity for ice growth dynamics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2146 (2019): 20180393. http://dx.doi.org/10.1098/rsta.2018.0393.

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An impurity effect on ice crystal growth in supercooled water is an important subject in relation to ice crystal formation in various conditions in the Earth's cryosphere regions. In this review, we consider antifreeze glycoprotein molecules as an impurity. These molecules are well known as functional molecules for controlling ice crystal growth by their adsorption on growing ice/water interfaces. Experiments on free growth of ice crystals in supercooled water containing an antifreeze protein were conducted on the ground and in the International Space Station, and the normal growth rates for t

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Vasanthy, George, Dario De Franceschi, and Stanley A. J. Pocock. "Geometric Aspects of Pollen: Polyhedrons (Vernonieae – Asteraceae), Rotated Symmetry (Trichanthereae – Acanthaceae) and Pyramidal to Prismatic Spinules (Nothapodytes – Icacinaceae)." Grana 32, sup002 (1993): 37–43. http://dx.doi.org/10.1080/00173139309428977.

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Zhang, Jian-Jun, Sheng-Min Hu, Li-Min Zheng, et al. "Synthesis and Characterization of a Series of Novel Heptanuclear Trigonal-Prismatic Polyhedra with Different Edge-Ligands." Chemistry - A European Journal 8, no. 24 (2002): 5742–49. http://dx.doi.org/10.1002/1521-3765(20021216)8:24<5742::aid-chem5742>3.0.co;2-f.

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Carmello-Guerreiro, Sandra Maria, and Adelita Aparecida Sartori Paoli. "Anatomy of the pericarp and seed-coat of Lithraea molleoides (Vell.) Engl. (Anacardiaceae) with taxonomic notes." Brazilian Archives of Biology and Technology 48, no. 4 (2005): 599–610. http://dx.doi.org/10.1590/s1516-89132005000500013.

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The aim of the present work was to record anatomical data for the fruit and seed of Lithraea molleoides (Vell.) Engl, and compare the results with those for L. brasiliensis and the genera Schinus and Rhus. The L. molleoides fruit was a drupe with a friable and lignified exocarp. The mesocarp was parenchymatous with large secretory canals associated with vascular bundles. The endocarp consisted of four layers: an outer layer of polyhedral cells with prismatic crystals of calcium oxalate, and three inner layers of sclereids in a palisade arrangement. The ovule was anatropous, unitegmic, and cras

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Chávez, Raul García, Michael D. Glascock, J. Michael Elam, and Harry B. lceland. "The INAH Salvage Archaeology Excavations at Azcapotzalco, Mexico: An Analysis of the Lithic Assemblage." Ancient Mesoamerica 1, no. 2 (1990): 225–32. http://dx.doi.org/10.1017/s0956536100000249.

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AbstractAnalysis of a collection of lithic artifacts from recent INAH salvage excavations in Azcapotzalco, Mexico, contributes to our understanding of lithic procurement and manufacturing processes, other economic activities, intersite relations, and the decline of Classic civilization in the Basin of Mexico. The results of NAA conducted at the Missouri University Research Reactor on a small sample of obsidian artifacts from the site support the conclusions of visual analysis and growing evidence from other central Mexican sites that at the end of the Classic Period obsidian exchange networks

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Cigler, Andrew J., and James A. Kaduk. "Sodium rubidium hydrogen citrate, NaRbHC6H5O7, and sodium caesium hydrogen citrate, NaCsHC6H5O7: crystal structures and DFT comparisons." Acta Crystallographica Section E Crystallographic Communications 75, no. 2 (2019): 223–27. http://dx.doi.org/10.1107/s205698901900063x.

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The crystal structure of sodium rubidium hydrogen citrate, NaRbHC6H5O7 or [NaRb(C6H6O7)] n , has been solved and refined using laboratory powder X-ray diffraction data, and optimized using density functional techniques. This compound is isostructural to NaKHC6H5O7. The Na atom is six-coordinate, with a bond-valence sum of 1.16. The Rb atom is eight-coordinate, with a bond-valence sum of 1.17. The distorted [NaO6] octahedra share edges to form chains along the a-axis direction. The irregular [RbO8] coordination polyhedra share edges with the [NaO6] octahedra on either side of the chain, and sha

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Meier, Steffen F., and Thomas Schleid. "Oxotellurate(IV) der Lanthanide: II. Die isotype Reihe M2Te5O13 (M = Dy – Lu) / Oxotellurates(IV) of Lanthanides: II. The Isotypic Series M2Te5O13 (M = Dy – Lu)." Zeitschrift für Naturforschung B 60, no. 7 (2005): 720–26. http://dx.doi.org/10.1515/znb-2005-0704.

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For the shortly discovered formula type M2Te5O13 (triclinic, P1̄), the establishment of an isostructural series in the last third of the lanthanide family (M = Dy - Lu) was possible. The excessive formula unit TeO2 additional to the well-known composition M2Te4O11 (monoclinic, C2/c) leads to the slicing of the [M2O10]14− layers which are typical for the tellurium-oxide poorer compounds. By coupling together the bicapped trigonal prismatic (M1, CN = 8) and the pentagonal bipyramidal (M2, CN = 7) lanthanide-oxygen polyhedra via edges, [M4O20]28− bands are formed stretching along the a axis and p

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Hennings, Erik, Horst Schmidt, and Wolfgang Voigt. "Crystal structures of Sr(ClO4)2·3H2O, Sr(ClO4)2·4H2O and Sr(ClO4)2·9H2O." Acta Crystallographica Section E Structure Reports Online 70, no. 12 (2014): 510–14. http://dx.doi.org/10.1107/s1600536814024726.

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The title compounds, strontium perchlorate trihydrate {di-μ-aqua-aquadi-μ-perchlorato-strontium, [Sr(ClO4)2(H2O)3]n}, strontium perchlorate tetrahydrate {di-μ-aqua-bis(triaquadiperchloratostrontium), [Sr2(ClO4)4(H2O)8]} and strontium perchlorate nonahydrate {heptaaquadiperchloratostrontium dihydrate, [Sr(ClO4)2(H2O)7]·2H2O}, were crystallized at low temperatures according to the solid–liquid phase diagram. The structures of the tri- and tetrahydrate consist of Sr2+cations coordinated by five water molecules and four O atoms of four perchlorate tetrahedra in a distorted tricapped trigonal–prism

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Prasad, Thazhe Kootteri, and M. V. Rajasekharan. "Novel three-dimensional coordination polymers of lanthanides with sulfate and oxydiacetic acid." Acta Crystallographica Section C Crystal Structure Communications 69, no. 12 (2013): 1503–8. http://dx.doi.org/10.1107/s0108270113031806.

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Three three-dimensional coordination polymers,viz.poly[[diaqua-μ4-oxydiacetato-di-μ4-sulfato-dipraseodymium(III)] hemihydrate], [Pr2(C4H4O5)(SO4)2(H2O)2]·0.5H2O, (I), poly[[diaquadi-μ3-oxydiacetato-μ3-sulfato-dineodymium(III)] 1.32-hydrate], [Nd2(C4H4O5)2(SO4)(H2O)2]·1.32H2O, (II), and poly[[diaquadi-μ3-oxydiacetato-μ3-sulfato-disamarium(III)] 1.32-hydrate], [Sm2(C4H4O5)2(SO4)(H2O)2]·1.32H2O, (III), were obtained by hydrothermal reactions of the respective lanthanide oxides and ZnSO4with oxydiacetic acid (odaH2). The Nd3+and Sm3+compounds form isomorphous crystal structures in which the lantha

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Stock, N. "Synthesis and Characterization of Mn6(PO4)4·H2O, a New Metal(II) Phosphate Hydrate." Zeitschrift für Naturforschung B 57, no. 2 (2002): 187–92. http://dx.doi.org/10.1515/znb-2002-0210.

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The new manganese phosphate hydrate,Mn6(PO4)4·H2O, has been obtained as a single phase product using hydrothermal methods and the structure has been determined by single crystal X-ray diffraction. The title compound crystallizes in the monoclinic space group Cc with a = 934.18(10), b = 1743.68(18), c = 815.15(8) pm, β = 92.616(2)°, V = 1326.4(2)·106 pm3, Z = 4, and the refinement led to R1 = 0.0281 and Rw2 = 0.0728 (all data). The structure is composed of [PO4] and [MnOx] polyhedra (x = 6, 7) and might be described as a distorted primitive hexagonal packing of [PO4] tetrahedra which are held t

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Anana, Hayet, Chahrazed Trifa, Sofiane Bouacida, Chaouki Boudaren, and Hocine Merazig. "Hydrothermal synthesis and crystal structure of a new lanthanum(III) coordination polymer with fumaric acid." Acta Crystallographica Section E Crystallographic Communications 71, no. 5 (2015): m114—m115. http://dx.doi.org/10.1107/s2056989015007008.

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The title compound, poly[diaquatris(μ4-but-2-enedioato)(μ2-but-2-enedioic acid)dilanthanum(III)], [La2(C4H2O4)3(C4H4O4)(H2O)2]n, was synthesized by the reaction of lanthanum chloride pentahydrate with fumaric acid under hydrothermal conditions. The asymmetric unit comprises an LaIIIcation, one and a half fumarate dianions (L2−), one a half-molecule of fumaric acid (H2L) and one coordinated water molecule. Each LaIIIcation has the same nine-coordinate environment and is surrounded by eight O atoms from seven distinct fumarate moieties, including one protonated fumarate unit and one water molecu

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Krivovichev, S. V., and P. C. Burns. "Crystal chemistry of basic lead carbonates. III. Crystal structures of Pb3O2(CO3) and NaPb2(OH)(CO3)2." Mineralogical Magazine 64, no. 6 (2000): 1077–87. http://dx.doi.org/10.1180/002646100549896.

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AbstractThe crystal structures of synthetic Pb3O2(CO3) and NaPb2(OH)(CO3)2, have been solved by direct methods and refined to R = 0.062 and 0.024, respectively. Pb3O2(CO3) is orthorhombic, Pnma, a = 22.194(3), b = 9.108(1), c = 5.7405(8) Å, V = 1160.4(3) Å3, Z = 8. There are four symmetrically distinct Pb2+ cations in irregular coordination polyhedra due to the effect of stereoactive s2 lone electron pairs. The structure is based upon double [O2Pb3] chains of [O(1)Pb4] and [O(2)Pb4] oxocentred tetrahedra and CO3 groups. The [O2Pb3] chains are parallel to the c axis, whereas the CO3 groups are

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Lin, Yueh-Jaw, Rahul Mahabaleshwarkar, and Elena Massina. "CAD-based CMM dimensional inspection path planning – a generic algorithm." Robotica 19, no. 2 (2001): 137–48. http://dx.doi.org/10.1017/s0263574700003076.

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This paper describes a newly developed algorithm for CAD-based dimensional inspection path planning utilizing coordinate measuring machines (CMMs). The algorithm guarantees to provide optimum collision-free inspection probe paths by using the topological structure of the boundary representation (B-rep) solid CAD models of the inspected parts. A concept of automatic generation of optimum and collision free path in three dimensional space using available CAD database is proposed. The algorithm is generic for generating probe path over prismatic polyhedral parts. It serves as a principal part of

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Knight, Charles L. F. "VARIATION IN RESIDENTIAL PRISMATIC BLADE PRODUCTION AND STATUS DURING THE EARLY CLASSIC AT PALO ERRADO, VERACRUZ." Ancient Mesoamerica 27, no. 1 (2016): 71–90. http://dx.doi.org/10.1017/s0956536116000134.

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AbstractIntrasite variation in the production and consumption of obsidian prismatic blades is investigated at the Protoclassic to early Late Classic period site of Palo Errado in Veracruz, Mexico. There, the recovery of macrodebitage, as well as eraillure flakes, platform overhang flakes, and debitage with 90 degree angles between dorsal scars indicates that local blade production occurred at the site from imported marcocores and large polyhedral cores. In addition, detailed ceramic and obsidian data from excavated contexts demonstrate that the elite were involved in blade production and consu

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