stereoisograms of octahedral complexes are classified into five types (type i--typev) under the action of the corresponding rs-stereoisomeric group. their enumeration is accomplished in a type-itemized fashion, where fujita's proligand method developed originally for combinatorial enumeration under point groups (s. fujita, theor. chem. acc., 113, 73--79 (2005)) is extended to meet the requireme...

Media New York 2016 ABSTRACT For ABO3 perovskites, the magnetic and electronic properties couple strongly to the BO6 octahedral rotations and distortions. Therefore, precise control of the octahedral rotations and distortions via epitaxial strain and interfacial octahedral connectivity has become the key for engineering novel functionalities in ABO3 heterostructures and superlattices. In this p...

It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy density of these monopoles and surfaces of constant energy density are displayed. The charge five and charge seven monopoles look like an octahedron and a dodecahedron respectivel...

The colourful simplicial depth conjecture states that any point in the convex hull of each of d+1 sets, or colours, of d+1 points in general position inRd is contained in at least d 2 +1 simplices with one vertex from each set. We verify the conjecture in dimension 4 and strengthen the known lower bounds in higher dimensions. These results are obtained using a combinatorial generalization of co...

Local environments of ferric and ferrous irons were systematically studied with M€ ossbauer (at liquid helium temperature) and ultraviolet–visible–near infrared spectroscopic methods for various 18Na2O–72SiO2 glasses doped with 0.5 mol% Fe2O3. These were prepared at temperatures of 1300–1600 C in ambient air or at 1500 C under reducing conditions with oxygen partial pressures from 12.3 to 0:27 ...

MagSaki software was developed for the magnetic analysis of dinuclear high-spin cobalt(II) complexes. This software performs magnetic analysis to determine magnetic parameters using several types of theoretical calculations, such as the following: (1) a mononuclear complex in an isotropic octahedral field, (2) a mononuclear complex in an axially distorted octahedral field, (3) a dinuclear compl...

The discovery of the fullerene has raised an interest in the study of other candidates for modeling of carbon molecules. Motivated by works of P. Fowler, Delgado Friedrichs and Deza, Oh(a, b)-fulleroids were defined as cubic convex polyhedra having only a-gonal and bgonal faces and the symmetry group isomorphic with the full symmetry group of regular octahedron. In this paper we give sufficient...

We consider set systems that satisfy a certain octahedral parity property. Such systems arise when studying the colourful simplices formed by configurations of points of in R; configurations of low colourful simplicial depth correspond to systems with small cardinality. This construction can be used to find lower bounds computationally for the minimum colourful simplicial depth of a configurati...