Etude cristallographique du compose FexGa2−xO3 par neutrons polarises

Delapalme, A.

doi:10.1016/0022-3697(67)90273-9

Cited by 19 publications

(2 citation statements)

References 9 publications

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“…43͒ recently interpreted their data in terms of a collinear ferrimagnetic configuration suggested in Ref. 45, where all spins are oriented either parallel or antiparallel to the c direction. In both cases, the relative orientation of the four symmetry-related magnetic moments on the Fe1 sites or the Fe2 sites, respectively, is dictated by the magnetic space group PcЈ2 1 Јn.…”

Section: Gafeomentioning

confidence: 99%

Towards a microscopic theory of toroidal moments in bulk periodic crystals

2007

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We present a theoretical analysis of magnetic toroidal moments in periodic systems, in the limit in which the toroidal moments are caused by a time and space reversal symmetry breaking arrangement of localized magnetic dipole moments. We summarize the basic definitions for finite systems and address the question of how to generalize these definitions to the bulk periodic case. We define the "toroidization" as the toroidal moment per unit cell volume, and we show that periodic boundary conditions lead to a multivaluedness of the toroidization, which suggests that only differences in toroidization are meaningful observable quantities. Our analysis bears strong analogy to the "modern theory of electric polarization" in bulk periodic systems, but we also point out some important differences between the two cases. We then discuss the instructive example of a one-dimensional chain of magnetic moments, and we show how to properly calculate changes of the toroidization for this system. Finally, we evaluate and discuss the toroidization ͑in the local dipole limit͒ of four important example materials:

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Section: Gafeomentioning

confidence: 99%

Towards a microscopic theory of toroidal moments in bulk periodic crystals

2007

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“…Figure 1(a) displays the crystal and magnetic structures of the polar ferrimagnet GaFeO 3 . 18,19) In a unit cell, there are two crystallographically unequivalent Fe sites, termed Fe1 and Fe2. These Fe sites are coordinated by six neighboring oxygen atoms and form distorted FeO 6 octahedra.…”

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Resonant Magnetoelectric X-ray Scattering in GaFeO₃: Observation of Ordering of Toroidal Moments

et al. 2005

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We report on the first observation of magnetoelectric X-ray scattering (MEXS), i.e., incident-kdirection-dependent scattering, for a polar ferrimagnet GaFeO 3 . Near the K edge of Fe, the magnetic component of the (040) X-ray reflection shows a larger enhancement than that of the (020) X-ray reflection, which cannot be attributed to the genuine magnetic scattering, but to the MEXS of Fe 3þ ions. Toroidal moments as defined by the outer product of the Fe off-center displacement and the magnetic moment show ferroic ordering, which causes the resonant MEXS at the Fe 1s-3d excitation energy.

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Thermodynamics and Defect Chemistry of Some Oxide Solid Solutions Part III. Defect Equilibria and the Formalism of Pair Interactions

Driessens

1968

Ber Bunsenges Phys Chem

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This paper is concerned with intrinsic disorder, deviations from stoichiometry and substitutional disorder in ionic solids and solid solutions. The assumptions are made that the distribution of ions over the sites of any sublattice is random and that the free enthalpy of the solids is the sum of (a) the “standard” free enthalpy of the ions and vacancies, (b) pair interactions between the ions and vacancies, and (c) the configurational entropy term. Proof is given that in such solids and solid solutions the standard free enthalpy of each defect equilibrium is a linear function of all compositional and disorder parameters, which is due to the pair interactions.A comparison is made with some experimental data given in the literature. In particular, solid solutions of two isostructural oxides are considered, which show substitutional disorder of the type of exchange of unlike cations between unlike sites. Numerous literature data about cation distribution over different sublattices in spinels, garnets, barium ferrites and orthopyroxenes are compiled. They agreed with the theoretical equations and the values of the apparent pair‐interaction energies were considerable. The applicability of the assumptions and the nature of these pair interactions are discussed.

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Etude cristallographique du compose FexGa2−xO3 par neutrons polarises

Cited by 19 publications

References 9 publications

Towards a microscopic theory of toroidal moments in bulk periodic crystals

Towards a microscopic theory of toroidal moments in bulk periodic crystals

Resonant Magnetoelectric X-ray Scattering in GaFeO₃: Observation of Ordering of Toroidal Moments

Thermodynamics and Defect Chemistry of Some Oxide Solid Solutions Part III. Defect Equilibria and the Formalism of Pair Interactions

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Etude cristallographique du compose FexGa2−xO3 par neutrons polarises

Cited by 19 publications

References 9 publications

Towards a microscopic theory of toroidal moments in bulk periodic crystals

Towards a microscopic theory of toroidal moments in bulk periodic crystals

Resonant Magnetoelectric X-ray Scattering in GaFeO3: Observation of Ordering of Toroidal Moments

Thermodynamics and Defect Chemistry of Some Oxide Solid Solutions Part III. Defect Equilibria and the Formalism of Pair Interactions

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Product

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Resonant Magnetoelectric X-ray Scattering in GaFeO₃: Observation of Ordering of Toroidal Moments