Search results for "Trigo"

showing 10 items of 253 documents

Bond-based 3D-chiral linear indices: Theory and QSAR applications to central chirality codification

2008

The recently introduced non-stochastic and stochastic bond-based linear indices are been generalized to codify chemical structure information for chiral drugs, making use of a trigonometric 3D-chirality correction factor. These improved modified descriptors are applied to several well-known data sets to validate each one of them. Particularly, Cramer's steroid data set has become a benchmark for the assessment of novel quantitative structure activity relationship methods. This data set has been used by several researchers using 3D-QSAR approaches such as Comparative Molecular Field Analysis, Molecular Quantum Similarity Measures, Comparative Molecular Moment Analysis, E-state, Mapping Prope…

Stochastic ProcessesQuantitative structure–activity relationshipIndolesProperty (programming)ChemistryComparabilityQuantitative Structure-Activity RelationshipAngiotensin-Converting Enzyme InhibitorsStereoisomerismGeneral ChemistrySet (abstract data type)Data setComputational MathematicsModels ChemicalPiperidinesComputational chemistryDrug DesignBenchmark (computing)Molecular symmetryCombinatorial Chemistry TechniquesReceptors sigmaThermodynamicsTrigonometryAlgorithmJournal of Computational Chemistry
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Annihilation Operators for Exponential Spaces in Subdivision

2022

We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to the representation of real-valued trigonometric and hyperbolic functions. Although exponential functions appear in a variety of contexts, the motivation behind this work comes from considering subdivision schemes with the capability of preserving those exponential functions required for an exact description of surfaces parametrized in terms of trigonometric and hyperbolic functions.

Subdivision schemePure mathematicsAnnihilationbusiness.industryApplied MathematicsDifference operator annihilating exponentials; Exponential function preservation; Subdivision schemeHyperbolic functionNumerical Analysis (math.NA)Exponential functionComputational MathematicsDifference operator annihilating exponentialFOS: MathematicsMathematics - Numerical AnalysisTrigonometryVariety (universal algebra)businessRepresentation (mathematics)Differential (mathematics)MathematicsSubdivisionExponential function preservation
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Pac-Man Josephson junctions: Useful trigonometric puzzles?

2020

Abstract Rather interesting trigonometric equations arise when considering a Josephson junction obtained by embedding a Pac-Man shaped superconducting island in between two superconducting electrodes. In the present work we unfold these equations, written in terms of the superconducting phase difference between the two electrodes, and find the current-phase relation and the maximum superconducting current of the Josephson junction network. The solution of the trigonometric equations defining the superconducting current state of the system can be proposed to advanced high-school students or to undergraduate students in an interdisciplinary lecture.

SuperconductivityPhysicsJosephson effectPhase differenceCurrent (mathematics)PhysicsQC1-999Physics::Physics EducationGeneral Physics and AstronomyQuantum mechanicsEducationTheoretical physicsCondensed Matter::SuperconductivityJosephson junctionEmbeddingTrigonometryJosephson junction; Quantum mechanics; TrigonometryTrigonometry
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Aromatic dicarboxylate incorporated new di- and tetranuclear cobalt(II) complexes: Synthetic and structural aspects, and evaluation of properties and…

2020

Abstract The synthetic and structural aspects as well as evaluation of magnetic properties and catalytic activity toward aerial oxidation of 3,5-di-tert-butylcatechol to 3,5-di-tert-butylbenzoquinone of three new, two di- and one tetranuclear cobalt(II) complexes, [Co2(cpdp)(Hphth)]∙5H2O (1), [Co2(cpdp)(Hisophth)] (2) and [Co4(cpdp)2(terephth)]∙4.5CH3OH·5.5H2O (3), based on a symmetrical multidentate ligand, N,N'-Bis[2-carboxybenzomethyl]-N,N'-Bis[2-pyridylmethyl]-1,3-diaminopropan-2-ol (H3cpdp) in combination with exogeneous aromatic dicarboxylic acids, such as phthalic acid (H2phth), isophthalic acid (H2isophth) and terephthalic acid (H2terephth) are reported. All three coordination compl…

Terephthalic acidDenticity010405 organic chemistryLigandchemistry.chemical_element010402 general chemistry01 natural sciencesSquare pyramidal molecular geometry0104 chemical sciencesInorganic ChemistryIsophthalic acidchemistry.chemical_compoundTrigonal bipyramidal molecular geometryCrystallographyPhthalic acidchemistryMaterials ChemistryPhysical and Theoretical ChemistryCobaltInorganica Chimica Acta
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The ionic tin(IV) complex tri-μ2-methoxy-μ3-oxo-tris[di-tert-butyltin(IV)] tri-μ2-methoxy-bis[tert-butyldimethoxystannate(IV)]

2004

The solid-state of the title compound, [Sn3(C4H9)6(CH3O)3O][Sn2(C4H9)2(CH3O)7], consists of distinct [tBu6Sn3(μ-OCH3)3(μ3-O)]+ cations and [tBu2Sn2(OCH3)4(μ-OCH3)3]− anions, apparently formed as a result of slow hydro­lysis of pure di(tert-butyl)­di­methoxy­stannane, tBu2Sn(OCH3)2. In the monocation, the coordin­ation about the Sn atoms is distorted trigonal bipyramidal, and, in the monoanion, distorted octahedral. The trigonal bipyramidal arrangement induces planarity of the Sn3O4 motif.

Tert butylTrisStannateStereochemistryIonic bondingchemistry.chemical_elementGeneral ChemistryCondensed Matter PhysicsMedicinal chemistryTrigonal bipyramidal molecular geometrychemistry.chemical_compoundchemistryOctahedronSN2 reactionGeneral Materials ScienceTinActa Crystallographica Section E Structure Reports Online
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Organotin(IV) azido and mixed azidothiocyanato complex anions; A Mössbauer and vibrational spectroscopic study

1975

Abstract Tetraphenylarsonium and tetramethylammonium salts of the complex anions Ph 3 Sn(N 3 ) − 2 , Ph 3 Sn(N 3 )(NCS) − , Me 2 Sn(N 3 ) 2− 4 and Ph 2 Sn(N 3 ) 2 (NCS) 2− 2 have been synthesized, and the solid state configuration of the complex anions has been studied by Mossbauer and vibrational spectroscopies. Trigonal bipyramidal structures are advanced for the Ph 3 Sn IV derivatives, with equatorial SnC 3 and apical pseudohalide ligands, while the R 2 Sn IV compounds are assumed to be trans -octahedral species. The NCS − ligands are observed to be N-bonded to Sn IV . Conductance and PMR (for the Me 2 Sn IV compound) data suggest the presence of the complex anions also in solution phase…

TetramethylammoniumStereochemistryOrganic ChemistrySolid-stateConductanceBiochemistryInorganic ChemistryTrigonal bipyramidal molecular geometrychemistry.chemical_compoundCrystallographyOctahedronchemistryMössbauer spectroscopyMaterials ChemistryPhysical and Theoretical ChemistryJournal of Organometallic Chemistry
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Structural basis and effect of copper(II) complexes with 4-oxo-thiazolidine ligands on DNA binding and nuclease activity

2020

Abstract Seven novel Copper(II) complexes, namely [Cu(Am4DHotaz)(H2O)2](ClO4) (1), [Cu(Am4DHotaz)(NO3)(MeOH)]·H2O (2), [Cu(Am4Motaz)2(H2O)](ClO4)2·0.83H2O (3), [Cu(Am4Motaz)2(NO3)]NO3·MeOH (4), [Cu(Am4Eotaz)2(NO3)]3(NO3)3·2H2O (5), [Cu(Am4Eotaz)2(ClO4)](ClO4) (6) and [Cu(Am4Eotaz)(ClO4)(H2O)](ClO4) (6a) (HAm4DHotaz = N′-(4-oxothiazolidin-2-ylidene)pyridine-2-carbohydrazonamide, Am4Motaz = N′-(3-methyl-4-oxothiazolidin-2-ylidene)pyridine-2-carbohydrazonamide and Am4Eotaz = N′-(3-ethyl-4-oxothiazolidin-2-ylidene)pyridine-2-carbohydrazonamide), have been successfully synthesized and characterized by several physicochemical techniques and, for 1–6 complexes, single crystal X-ray diffraction. Ha…

Thiazolidinechemistry.chemical_element010402 general chemistry01 natural sciencesBiochemistryInorganic Chemistrychemistry.chemical_compoundOrganometallic CompoundsGel electrophoresisNucleaseDeoxyribonucleasesbiology010405 organic chemistryHydrolysisDNACopperSquare pyramidal molecular geometry0104 chemical sciencesThiazolesCrystallographyTrigonal bipyramidal molecular geometrychemistrybiology.proteinSingle crystalCopperDNAJournal of Inorganic Biochemistry
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A Study of the Lack of Slow Magnetic Relaxation in Mononuclear Trigonal Bipyramidal Cobalt(II) Complexes

2021

Trigonal bipyramidal molecular geometryCrystallographyMaterials sciencechemistrylawchemistry.chemical_elementMagnetic relaxationGeneral ChemistryCrystal structureElectron paramagnetic resonanceCobaltlaw.inventionChemistrySelect
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ChemInform Abstract: Preparation and Structure of (EtO)2P(O)CH2Si(Me)2CH2SnMe2Cl. A Six- Membered Chelate Ring with Chair Conformation and a P=O××. t…

2010

Trigonal bipyramidal molecular geometryCrystallographychemistryStereochemistryCyclohexane conformationchemistry.chemical_elementChelationGeneral MedicineRing (chemistry)TinChemInform
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Compressibility and phase stability of iron-rich ankerite

2021

ABSTRACT: The structure of the naturally occurring, iron-rich mineral Ca₁․₀₈(₆)Mg₀.₂₄(₂)Fe₀.₆₄(₄)Mn₀.₆₄(₄)(CO₃)₂ ankerite was studied in a joint experimental and computational study. Synchrotron X-ray powder diffraction measurements up to 20 GPa were complemented by density functional theory calculations. The rhombohedral ankerite structure is stable under compression up to 12 GPa. A third-order Birch-Murnaghan equation of state yields V₀ = 328.2(3) ų, bulk modulus B₀ = 89(4) GPa, and its first-pressure derivative B'₀ = 5.3(8)-values which are in good agreement with those obtained in our calculations for an ideal CaFe(CO₃)₂ ankerite composition. At 12 GPa, the iron-rich ankerite structure …

Trigonal planar molecular geometryBulk modulusEquation of statePhase transitionMaterials science010504 meteorology & atmospheric sciencesCompressibilityThermodynamicsGeology010502 geochemistry & geophysicsGeotechnical Engineering and Engineering GeologyMineralogy01 natural sciencesHigh pressurePhase (matter)Iron-rich ankeriteCarbonate mineralDensity functional theoryAnkeritePowder diffraction0105 earth and related environmental sciencesQE351-399.2Phase transition
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