0000000000287496

AUTHOR

Christian Gérard

showing 4 related works from this author

Commutators, C0-semigroups and resolvent estimates

2004

Abstract We study the existence and the continuity properties of the boundary values on the real axis of the resolvent of a self-adjoint operator H in the framework of the conjugate operator method initiated by Mourre. We allow the conjugate operator A to be the generator of a C 0 -semigroup (finer estimates require A to be maximal symmetric) and we consider situations where the first commutator [ H ,i A ] is not comparable to H . The applications include the spectral theory of zero mass quantum field models.

Spectral theoryC0- semigroupsSemigroupOperator (physics)Mathematical analysisSpectrum (functional analysis)Commutator (electric)Resolvent formalismMourre estimatelaw.inventionResolvent estimateslawHermitian adjointPositive commutatorsBoundary values of resolvent familiesConjugate operatorVirial theoremAnalysisMathematicsResolventJournal of Functional Analysis
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Equilibrium and structural studies of complexes with a hexadentate ligand containing amide, amine and pyridyl nitrogen donors. Crystal structures of …

2002

A novel potentially hexadentate ligand, 1,8-bis(2-pyridylcarbamoyl)-3,6-diazaoctane (pyctrien) has been synthesised as its tetrahydrochloride salt; its protonation constants and the stability constants of the copper(II) and nickel(II) chelates have been determined by potentiometry. Amide group deprotonation permits the formation of [MLH−1]+ and [MLH−2] species in all cases, whereas the detection of the neutral or the protonated species depends on the nature of the metal ions. The solid complexes of copper, nickel and cobalt with the neutral and the deprotonated ligand have been synthesised and characterised by IR and UV–VIS spectroscopy. The amidic groups are coordinated through the oxygen …

inorganic chemicals010405 organic chemistryLigandInorganic chemistrychemistry.chemical_elementProtonationGeneral Chemistry[CHIM.INOR]Chemical Sciences/Inorganic chemistry010402 general chemistry01 natural sciencesSquare pyramidal molecular geometry0104 chemical scienceschemistry.chemical_compoundNickelCrystallographyDeprotonationchemistryAmidePyridine[CHIM.COOR]Chemical Sciences/Coordination chemistryCobaltComputingMilieux_MISCELLANEOUS
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Copper(II) and nickel(II) complexes of pyridylamido hexadentate ligands: chemical speciation and spectroscopic studies

2003

Abstract Two novel potentially hexadentate ligands, 1,10-(2-bis picolinamide)-4,7-diazadecane (pycdpnen) and 1,8-bis(2-picolinamide)-3,6-dioxaoctane (pycdado) have been synthesised as their hydrochloride salt; its protonation constants and the stability constants of the copper(II) and nickel(II) chelates have been determined by potentiometry. Amide groups deprotonation permits the formation of [MLH −1 ] + species in all cases, while only pycdado gives [MLH −2 ] species. The solid complexes of copper and nickel with the neutral and the deprotonated ligands have been synthesised and characterised by IR, UV–Vis and ESR spectroscopy. The amidic groups are coordinated through the oxygen atoms in…

chemistry.chemical_classification010405 organic chemistryHydrochlorideInorganic chemistrychemistry.chemical_elementSalt (chemistry)Protonation[CHIM.INOR]Chemical Sciences/Inorganic chemistry010402 general chemistry01 natural sciencesCopper0104 chemical sciencesInorganic ChemistryNickelchemistry.chemical_compoundDeprotonationchemistryAmidePolymer chemistryMaterials ChemistryChelation[CHIM.COOR]Chemical Sciences/Coordination chemistryPhysical and Theoretical ChemistryComputingMilieux_MISCELLANEOUS
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Synthesis and Characterization of Copper Complexes Containing the Tripodal N7 Ligand Tris{2-[(pyridin-2-ylmethyl)amino]ethyl}amine (=N′-(Pyridin-2-yl…

2005

The stability constants of the CuII chelates with the tripodal heptadentate ligand tris{2-[(2-pyridylmethyl)amino]ethyl}amine (=N′-(pyridin-2-ylmethyl)-N,N-bis{2-[(pyridin-2-ylmethyl)amino]ethyl}ethane-1,2-diamine; tpaa), determined by potentiometry and UV spectrometry, show the formation of [Cu(tpaaH)]3+ and [Cu(tpaa)]2+ species. In the solid state, two mononuclear CuII compounds, [Cu(tpaa)](PF6)2 (1) and [Cu(tpaaH)](ClO4)3⋅H2O (2), and one trinuclear [Cu3(tpaa)2(ClO4)2](ClO4)4⋅2 H2O (3) complex were isolated and characterized by IR, UV/VIS, and EPR spectroscopy. An X-ray structure of the mononuclear protonated complex 2 shows that the Cu2+ ion has a distorted square-pyramidal geometry (τ=…

StereochemistryProtonationCrystal structure[CHIM.INOR]Chemical Sciences/Inorganic chemistry010402 general chemistry01 natural sciencesBiochemistryMedicinal chemistryCatalysisInorganic ChemistryPerchloratechemistry.chemical_compoundDiamineDrug DiscoveryOctahedral molecular geometryMolecule[CHIM.COOR]Chemical Sciences/Coordination chemistryPhysical and Theoretical ChemistryComputingMilieux_MISCELLANEOUS010405 organic chemistryLigandOrganic Chemistry0104 chemical sciences3. Good healthchemistryAmine gas treating
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