About The Crystal Field Theory Of Tetrahedral Sites In Spinel Lattices

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Local strain dependence of uniaxial magnetic anisotropy in M

ical theory and an electron theory for an octahedral cluster containing a single Co ion and surrounding six O ions.11),12) M type ferrites, AFe 12 O 19 with A = Ba, Sr, or La, have a hexagonal lattice structure and their unit cell contains two formula units (fu's).1),2) There are five nonequivalent sites for Fe ions called 2a, 2b, 4f 1, 4f 2, and

Journal of Magnetism and Magnetic Materials

4 nanoparticles having spinel structure, the A 2+ ions oc-cupy the tetrahedral site while Cr3+ ions are in the center of six-fold octahedral site. The magnetic interaction for this class of materials along the A- and Cr-lattices can induce intriguing magnetic properties [6,7]. In chromite spinels with magnetic A-site cations, such as NiCr 2O 4

2+ ESR of Mn 2+ in sodium -alumina

lapping spectra which are due to manganese ions occupying different sites in the spinel- like blocks. The values of g, A and D are evaluated for Mn2 + in each of the occupied sites. The distribution of manganese within the p-alumina is shown to be different from that obtained during diffusion doping. 1. Introduction


OPTICALABSORPTIONINSPINELS 173 TABLE II Co tetrahedral ligand field parameters in spinels Compound Energy levels*(em-1) 4A2 -4Tl(4F 4A2 -4Tl(4p Dq(cm-1) B Ssp* Co :ZnO 6870 16500 395 765 Co2

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than tetrahedral sites). The Fe3+ ions are dis-tributed over two of these (the a and the d), with more tetrahedral than octahedral sites. The Me3+ ions are distributed over the third sublattice (the c). According to Neel, there is a strong nega-tive interaction between the first two sublattices, a and d; as a result, there occurs a resultant

Spin-orbiton and quantum criticality in FeSc

the crystal-field splitting. This splitting of the ground state by second order spin-orbit interaction of Fe2+ (3d6) in tetrahedral symmetry has been determined to be of order λ 15 - 20 cm-1 (Refs. 21,23,24,25), with the ground state being a singlet and the first excited state being a triplet state. Assuming formal

SMR/1855-3 School and Workshop on Highly Frustrated Magnets

b. Spinel oxides: AB 2O 4. The O2-lattice is cubic close packed (f.c.c.) Typically, A2+ and B3+ but others are possible e.g. A1+, B 3+, B4+ or A , B2+, B3+ A occupies a tetrahedral site (T d) and B an octahedral site (O h) In a close-packed lattice, there are per close-packed ion 2 T d sites and 1 O h site Thus, the

Magnetization Study of Cobalt Ferrite by Mean Field - CORE

oriented up on octahedral sites +5/2 for Fe3+ and +3/2 for Co2+ [12]. 3 Results and Discussion In the absence of crystal fields, Figure 1, the exchange constant between tetrahedral sites is positive and the partial magnetization in the tetrahedral site is negative corresponding to the spins of the tetrahedral sites to be ferromagnetically parallel.

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parameter values for a given application. The spinel-like magnetic oxides may, in first approximation, be considered ionic lattices. In order to obtain some insight into the con­ trol of the macroscopically measurable physical parameters by chemical composition and preparation procedures, as a second

Introduction to mineral sciences - GBV

1.5 Three-dimensional lattices and crystal systems 8 1.6 Three-dimensional point groups and their representation 9 1.7 Three-dimensional space groups 11 1.8 Planes and directions in a crystal 14 Appendix A Allowed rotations in a periodic lattice 17 Appendix B The stereographic projection ^ 18 Bibliography 20 2 Anisotropy and physical properties 21

Optical Properties of Solids: Lecture 2 Stefan Zollner

Crystal=Lattice+Basis A crystal structure is defined by one of 14 Bravais lattices basis vectors (coordinates of atoms within the cell): Wyckoff positions 230 space groups (rotations, reflections, inversion, etc, plus translations) 32 point groups (elements of space groups, with translations set to zero) BCC

The Little Maghemite Story: A Classic Functional Material

defect structure of inverse spinel type in which the trivalent iron atoms are distributed over tetrahedral and octahedral sites;[13,19] thus, the structural relationship of c-Fe 2O3 to Fe3O4 is immediately apparent, as is the easy chemical interconver-sion of these two materials upon reduction/oxidation.


by Co2+ ions on the B-sites (octahedral sites) of magnetic spinel lattices. With the lattice site of the Co2+ ion as shown in figure 1 the crystal field will @ COBALT ION IRON ION FIG. 1. - Configuration of cations neighbouring a Co2+ ion in the B-sites of the spinel lattice.

Citethis:Phys. Chem. Chem. Phys.2012 1 ,1003210040 PAPER

usually observed in spinel ferrite systems. 1,2 From an industrial (tetrahedral) lattices respectively.9 YIG is the most representative the overall magnetic moment.17 The Crystal Field Theory

Magneto-Dielectric and Electromagnetic Absorbing studies of

properties and behaviors of prepared spinel ferrites (A. M. M. farea et al., 2008). Nickel ferrite is an inverse ferrimagnetic spinel ferrite with Ni2+ ions occupied at octahedral sub-lattices (B-sites) and Fe3+ ions occupied at tetrahedral (A-sites) and octahedral sub-lattices equally (K. S. Muthu et al., 2013). Doping of nickel ferrites with

Evidence of half-metallic behaviour for FeFe O

8 (A-sites or tetrahedral-sites) may be occupied by divalent cations, and 32 having sixfold coordination, of which 16 (B-sites or octahedral-sites) may be occupied by the trivalent cations. The site symmetries and overall symmetry are expressed by the crystallographic space group Fd−3m. More about the spinel structure is


The magnetic properties of spinel ferrite originate from the antiferromagnetic coupling between the octahedral and tetrahedral sub lattices. The magnetization results from the difference between the magnetization of tetrahedral (A) and octahedral [B] sites. The structural, electrical and magnetic properties of chromium

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process, the XFeO crystal lattices need more energies to grow the same size compared to that of FO; therefore, the XFO nanoparticles are distributed as a narrow size range of 22.2 62.96 nm, comparing to that of FO nano-particle (92.68 nm). It should be noted that the obvious agglomeration between surface magnetic MnFe 2O 4 and

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occurs for tetrahedral site Iron Lons Ln the spinel structure with a site distribution given e 1.5 + x/2 0.5 - x/2 where A and B denote the tetrahedral and octahedral sites, respectively. For lov levels Of zinc substitution. the magnetizatLon increases due to the reduction the A-SLte moment. The magnetization reaches a maximum at x -0.4

Single Crystal Q-Band EPR Studies of Mn (II) Doped Ammonium

and the fact that the magnitude and orientation of the zero-field tensor, are highly sensitive to the strength and symmetry of the crystal [13-18]. Hence, EPR of Mn(II) in different crystal field environments viz., tetrahedral, cubic or octahedral coordination has been studied. An interesting observation of unusually large D value and

1 Introduction to Magnetic Oxides

one is the tetrahedral site with four oxygen neighbors, which can accommodate, without distortion, a spherical cation of radius r tet =((3/2)1/2 −1)r O =32pm. The Figure 1.2 A close-packed oxygen lattice showing octahedral (blue) and tetrahedral (green) cation sites.

Quantum electric-dipole liquid on a triangular lattice

of synthesis. The crystal structure of BaFe12O19 is shown in Fig. 1a. It can be described by a periodically stacking sequence of two basic building blocks S block and R block along c axis. The Fe3+ ions occupy three different kinds of sites: octahedral, tetrahedral, and bipyramidal sites. In particular, the FeO5 bipyramids only exist in the

Synthesis And Characterization of Terbium (Tb) And Europium

with hexagonal crystal structure and general formula M. 2+ Fe. 12. 0. 19 where M = Ba or Sr. Spinel ferrites are the simplest of these three groups having Close packed cubic structure of form AB. 2. O. 4 Where, A= divalent cation, B= Trivalent cation. Cation has 4 or 6 co-ordination and form tetrahedral (A) and octahedral (B) Sub lattices.

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In the crystal lattice of spinels two sites A and B are distinguished for the cation positions, the former is surrounded by oxygen atoms tetrahedrally and the latter octahedrally. The case where the divalent cations are at tetrahedral sites is called normal' and the case where the

History and applications of important ferrites

greatest and deep form of FCC lattice. Within these lattices two types of interstitial positions occur and these are occupied by the metallic cations. There are 96 interstitial sites in the unit cell, 64 tetrahedral (A) and 32 octahedral (B) sites. cation and one of the Me. The spinel ferrites have been classified into three categories due

Structural relaxation around substitutional Cr3+ in pyrope garnet

respectively, are intermediate between the distances, which separate octahedral Y sites from dodecahedral X and tetrahedral Z sites in pyrope and knorringite. This indicates that the Mg/Si second and third neighbors relax partially, as observed in spinel, whereas they are located at a larger distance from Cr.


of sites occupied CCP HCP AB All octahedral NaCl Rock Salt NiAs Nickel Arsenide Half tetrahedral (T+ or T-) ZnS Zinc Blende ZnS Wurtzite A 2 B All tetrahedral Na 2 O Anti-Fluorite CaF 2 Fluorite not known A 3 B All octahedral & tetrahedral Li 3 Bi not known AB 2 Half octahedral (Alternate layers full/empty) CdCl 2 (Cadmium Chloride) CdI 2

(Received October by T. TsuzukO

follows: cobalt vanadate has a inverse spinel Co2+[Co2+V4+]O4 structure, in which the Co 2+ have different moments on the octahedral (B) and tetrahedral (A) sites. The strongest interaction, termed A-B, is between the Co2+(B)-O2 Co2+(A) and the V 4+ ions situated on the A sites.

Proximate Quantum Spin Liquid on Designer Lattice

4 belongs to the normal spinel (AB 2 O 4) chromite family, MCr 2 O 4 (M = Mn, Fe, Co, and Ni) 52 where the magnetically active M2+ ions occupy the tetrahedral A sites of diamond sublattice and the Cr3+ ions occupy the octahedral B sites of pyrochlore sublattice, possessing complex spin configuration of the ground state.53 Specifically, in