Search results for " geometry"

showing 10 items of 2294 documents

Counter-complementarity control of the weak exchange interaction in a bent {Ni(ii)3 complex with a μ-phenoxide-μ-carboxylate double bridge

2019

We have prepared and structurally characterized a novel {Ni3} bent complex bearing a double μ-phenoxide-μ-carboxylate bridge. Both terminal Ni(ii) sites are symmetry related, offering a simplified exchange interaction scheme. DC magnetic data is consistent with a weak antiferromagnetic interaction between the central and terminal Ni(ii) ions. As expected for a Ni(ii) system, local zero-field splitting is observed, which can be experimentally established. Broken symmetry quantum chemical calculations, as well as ab initio CASSCF-SA-SOC computations that support the magnetic experimental data, were also performed. From the analysis of other reported closely related Ni(ii) systems, a counter-c…

Bent molecular geometryExchange interactionAb initioCiencias Químicas02 engineering and technologyGeneral ChemistryComputer Science::Computational Geometry010402 general chemistry021001 nanoscience & nanotechnologyQuímica Inorgánica y Nuclear01 natural sciencesCatalysisSymmetry (physics)0104 chemical sciencesIonCrystallographychemistry.chemical_compoundchemistryMaterials ChemistryAntiferromagnetismCarboxylateSymmetry breaking0210 nano-technologyno correspondeCIENCIAS NATURALES Y EXACTAS
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Dimeres und Trimers 1-Methyl-1-aza-5-stannabicyclo[3.3.01,5]-octan sulfid [MeN(CH2CH2CH2)2SnS]n, Röntgenstrukturanalyse des Dimeren und Gleichgewicht…

1991

Abstract The crystal structure of the dimeric title compound has been determined and refined to R = 0.0266. The core of the nearly centrosymmetric dimer is formed by an almost perfect [SnS]2 rectangle (Sn-S 2.39 and 2.51 A). The two sulfur atoms of this rectangle establish the connecting edge of two distorted trigonal bipyramids around the two tin atoms (Sn … N 2.55 A). Solutions of the title compound contain in addition to the dimer (σ(119Sn) = −4.6 ppm) about 20% of the trimer (+ 10.3 ppm). By quick crystallization a mixture of both oligomers can be transferred into the solid state.

Bicyclic moleculeChemistryDimerOrganic ChemistryTrimerCrystal structureBiochemistrylaw.inventionInorganic ChemistryBond lengthCrystallographychemistry.chemical_compoundMolecular geometrylawX-ray crystallographyMaterials ChemistryPhysical and Theoretical ChemistryCrystallizationJournal of Organometallic Chemistry
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An efficient upper bound of the rotation distance of binary trees

2000

A polynomial time algorithm is developed for computing an upper bound for the rotation distance of binary trees and equivalently for the diagonal-flip distance of convex polygons triangulations. Ordinal tools are used.

Binary treeRegular polygonComputer Science::Computational GeometryUpper and lower boundsComputer Science ApplicationsTheoretical Computer ScienceCombinatoricsTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYLattice (order)Signal ProcessingTime complexityComputingMethodologies_COMPUTERGRAPHICSInformation SystemsMathematicsInformation Processing Letters
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Diorganotin(IV) N-acetyl-L-cysteinate complexes: synthesis, solid state, solution phase, DFT and biological investigations.

2009

Diorganotin(IV) complexes of N-acetyl-L-cysteine (H(2)NAC; (R)-2-acetamido-3-sulfanylpropanoic acid) have been synthesized and their solid and solution-phase structural configurations investigated by FTIR, Mössbauer, (1)H, (13)C and (119)Sn NMR spectroscopy. FTIR results suggested that in R(2)Sn(IV)NAC (R = Me, Bu, Ph) complexes NAC(2-) behaves as dianionic tridentate ligand coordinating the tin(IV) atom, through ester-type carboxylate, acetate carbonyl oxygen atom and the deprotonated thiolate group. From (119)Sn Mössbauer spectroscopy it could be inferred that the tin atom is pentacoordinated, with equatorial R(2)Sn(IV) trigonal bipyramidal configuration. In DMSO-d(6) solution, NMR spectr…

Binding SitesMolecular StructureLigandStereochemistryCell SurvivalSpectrum Analysischemistry.chemical_elementAntineoplastic AgentsNuclear magnetic resonance spectroscopyBiochemistryMedicinal chemistryAcetylcysteineCell LineInorganic Chemistrychemistry.chemical_compoundTrigonal bipyramidal molecular geometryDeprotonationchemistryMössbauer spectroscopyOrganotin CompoundsOrganotin(IV) FTIR Mössbauer NMR DFT Antitumor activityHumansDensity functional theoryCarboxylateTinJournal of inorganic biochemistry
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Splittings of Toric Ideals

2019

Let $I \subseteq R = \mathbb{K}[x_1,\ldots,x_n]$ be a toric ideal, i.e., a binomial prime ideal. We investigate when the ideal $I$ can be "split" into the sum of two smaller toric ideals. For a general toric ideal $I$, we give a sufficient condition for this splitting in terms of the integer matrix that defines $I$. When $I = I_G$ is the toric ideal of a finite simple graph $G$, we give additional splittings of $I_G$ related to subgraphs of $G$. When there exists a splitting $I = I_1+I_2$ of the toric ideal, we show that in some cases we can describe the (multi-)graded Betti numbers of $I$ in terms of the (multi-)graded Betti numbers of $I_1$ and $I_2$.

Binomial (polynomial)Betti numberPrime idealExistential quantificationCommutative Algebra (math.AC)01 natural sciencesCombinatoricsInteger matrixMathematics::Algebraic Geometry0103 physical sciencesFOS: MathematicsGraded Betti numbers; Graphs; Toric idealsMathematics - Combinatorics0101 mathematicsMathematics::Symplectic GeometryMathematicsAlgebra and Number TheorySimple graphIdeal (set theory)Mathematics::Commutative AlgebraGraded Betti numbers Graphs Toric ideals010102 general mathematicsMathematics::Rings and Algebras16. Peace & justiceMathematics - Commutative AlgebraSettore MAT/02 - AlgebraToric ideals13D02 13P10 14M25 05E40Settore MAT/03 - Geometria010307 mathematical physicsCombinatorics (math.CO)Graded Betti numbersGraphs
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Profesors Jurijs Klokovs: biobibliogrāfiskais rādītājs

1990

Saturs: Priekšvārds. Fizikas un matemātikas zinātņu doktors profesors Jurijs Kolokovs / N. Vasiļjevs, P. Sadirbajevs. Profesora J. Kolokova publicētie darbi (1958.-1989.) J. Kolokova rediģētie un recenzētie darbi. J. Kolokova vadītās disertācijas. Literatūra par profesoru J. Kolokovu. Profesora J. Kolokova darbu alfabētiskais rādītājs. Personu rādītājs.

Biobibliogrāfiskie rādītājiDiferenciālvienādojumi - bibliogrāfiskais rādītājsMatemātiskā fizika - bibliogrāfiskais rādītājsProfessors of the Latvian UniversityHistory of the University of LatviaMatemātika - bibliogrāfiskais rādītājsМатематический анализ - библиографический указательMatemātiskā analīze - bibliogrāfiskais rādītājs:MATHEMATICS::Algebra geometry and mathematical analysis::Mathematical analysis [Research Subject Categories]Fizikas un matemātikas profesori Latvijas UnivesitātēLatvijas Universitātes vēstureLatvijas Universitātes profesoriP. Stučkas Latvijas Valsts universitātes profesori
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The internal rotational barrier of biphenyl studied with multiconfigurational second-order perturbation theory (CASPT2)

1995

A detailedab initio study of the molecular structure and rotational barriers of biphenyl has been performed. First, non-dynamical correlation effects involving the π system are taken into account at the CASSCF level. These wave functions are subsequently employed as reference functions in a multiconfigurational second-order perturbation treatment (CASPT2). The performance single-reference approaches is in addition analysed. The molecular geometries of biphenyl in twisted, coplanar, and perpendicular conformations have been optimized at the CASSCF level. A rotational angle of 44.3° is predicted for the minimum energy conformer in agreement with gas-phase electron diffraction data (44.4±1.2°)…

BiphenylChemistryPerturbation (astronomy)Molecular physicschemistry.chemical_compoundMolecular geometryElectron diffractionComputational chemistryPerpendicularMoleculeChiropracticsPhysical and Theoretical ChemistryWave functionConformational isomerismTheoretica Chimica Acta
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Synthesis, structural investigations on organotin(IV) chlorin-e6 complexes, their effect on sea urchin embryonic development and induced apoptosis

2004

Four new organotin(IV) chlorin derivatives, [chlorin=chlorin-e(6)=21H,23H-porphine-2-propanoic acid, 18-carboxy-20-(carboxymethyl)-8-ethenyl-13-ethyl-2,3-di-hydro-3,7,12,17-tetramethyl-(2S-trans)-], with formula (R(2)Sn)(3)(chlorin)(2).2H(2)O (R=Me, n-Bu) and (R(3)Sn)(3)chlorin.2H(2)O (R=Me, Ph) have been synthesized. The solid state and solution phase structures have been investigated by FT-IR, (119)Sn Mössbauer, (1)H and (13)C NMR spectroscopy. In the solid state, (R(2)Sn)(3)(chlorin)(2).2H(2)O complexes contain six coordinated Sn(IV), in a skew trapezoidal environment by forming trans-R(2)SnO(4) polymeric units. As far as (R(3)Sn)(3)chlorin.2H(2)O complexes are concerned, Sn(IV) is five …

BlastomeresSea urchinDenticityMagnetic Resonance SpectroscopyPorphyrinsStereochemistryApoptosisOrganotin(IV)BiochemistryInorganic Chemistrychemistry.chemical_compoundSpectroscopy Mossbauerbiology.animalSpectroscopy Fourier Transform InfraredOrganotin CompoundsAnimalsCarboxylateSea urchinTUNEL assaybiologyChlorophyllidesMolecular StructureCytotoxic activityLigandApoptosiNecrosiChlorin-e6Trigonal bipyramidal molecular geometrychemistryChlorinParacentrotusDNA fragmentation
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Neutron diffraction studies of structural and magnetic properties of niobium doped cobaltites.

2009

Neutron powder diffraction studies of the structural and magnetic properties of the La(1-x)Sr(x)Nb(y)Co(1-y)O(3) solid solutions (x = 0.2, 0.5; y = 0, 0.075, 0.1) have been performed. Substitution of Co(2+) by Nb(5+) prevents the formation of Co(4+) and leads to stabilization of the Co(3+) ions in the high- or intermediate-spin state. This is accompanied by the significant change of the Co-O bond length as well as Co-O-Co bond angle in the CoO(6) octahedron. The obtained data are in agreement with the negative sign of the magnetic exchange interactions Co(3+)-O-Co(3+) in a relatively wide range of the Co-O-Co bond angles. Diamagnetic dilution by the niobium ions prevents long-range magnetic…

Bond lengthCrystallographyMagnetizationMolecular geometryMagnetoresistancechemistryMagnetic momentNeutron diffractionNiobiumchemistry.chemical_elementDiamagnetismGeneral Materials ScienceCondensed Matter PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
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GERMANIUM DICARBIDE: EVIDENCE FOR A T−SHAPED GROUND STATE STRUCTURE

2017

The equilibrium structure of germanium dicarbide GeC2 has been an open question since the late 1950s. Although most high-level quantum calculations predict an L-shaped geometry, a T-shaped or even a linear geometry cannot be ruled out because of the very flat potential energy surface. By recording the rotational spectrum of this dicarbide using sensitive microwave and millimeter techniques, we unambiguously establish that GeC2 adopts a vibrationally averaged T-shaped structure in its ground state. From analysis of 14 isotopologues, a precise r0 structure has been derived, yielding a Ge–C bond length of 1.952(1) A and an apex angle of 38.7(2)°.

Bond lengthMaterials sciencechemistryPotential energy surfacechemistry.chemical_elementMillimeterIsotopologueGermaniumLinear molecular geometryGround stateMolecular physicsMicrowaveNuclear chemistryProceedings of the 72nd International Symposium on Molecular Spectroscopy
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