Journal of the American Chemical Society · 1999 · 78 citations · 35 references
Natural SciencesChemistryMaterials ScienceCrystal StructureInorganic ChemistryPhysical ChemistryCoordination ChemistryCrystal ChemistryMetal-ligand BondingTransition Metal ChemistryTransition Metal ComplexesBoltzmann DistributionBond LengthsBonding In Coordination CompoundsElectronic Spectra Of Transition Metal ComplexesMagnetic Properties Of Transition Metal ComplexesSpectroscopy Of Transition Metal ComplexesTemperature DependenceX-ray Diffraction Analysis
The crystal structure of the deuterated Tutton salt (ND 4 ) 2 [Cu(D 2 O) 6 ](SO 4 ) 2 determined by X-ray diffraction at several temperatures between 100 and 321 K is reported. The intermediate and longest Cu−O bond lengths of the Jahn−Teller distorted octahedral Cu(D 2 O) 6 2+ ion progressively converge as the temperature is raised above ∼200 K, and this is accompanied by a partial rotation of the ammonium and sulfate groups. The g -values derived from the EPR spectrum of the compound exhibit similar behavior, as do those of ∼1% Cu 2+ doped into the isomorphous zinc(II) compound. The temperature dependence of the g -values of Cu 2+ -doped (ND 4 ) 2 [Zn(D 2 O) 6 ](SO 4 ) 2 may be interpreted satisfactorily by a model which assumes a Boltzmann thermal distribution between two energy states which differ solely in the orientation of the Cu(D 2 O) 6 2+ ion in the lattice. However, such a model does not satisfactorily explain the behavior of pure (ND 4 ) 2 [Cu(D 2 O) 6 ](SO 4 ) 2, and it is suggested that this is due to cooperative interactions. A new model, in which the probable energy state of each complex is estimated after taking into account the likely orientations of its neighbors in the lattice, is described. Application of this model suggests that the thermal behavior is dominated by the cooperative interactions between complexes, these being transmitted via the hydrogen-bonding network. Comparisons are drawn with the cooperative interactions observed in more strongly coupled Jahn−Teller systems and in compounds for which the structural changes are associated with equilibria between two spin states.
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Dynamical Theory of Crystal Lattices
Max Born, Kun Huang, M. Lax · American Journal of Physics · 1955 · 10.6K citations
Elements of Statistical Mechanics
D. ter Haar, William Band · American Journal of Physics · 1954 · 198 citations