Using a numerical implementation of the ADHMN construction, we compute the fields and energy densities of a charge three monopole with tetrahedral symmetry and a charge four monopole with octahedral symmetry. We then construct a one parameter family of spectral curves and Nahm data which represent charge four monopoles with tetrahedral symmetry, which includes the monopole with octahedral symme...

This paper presents a technique, known as the Pure Condition, which has found use in analysing the rigidity of truss-like structures. The analysis is applied to the Stewart Platform where it can be used to identify special configurations. The conditions that produce special configurations in the octahedral manipulator are compared to previously known conditions and the associated geometry is se...

We studied a novel universal spectrochemical series of six-coordinated octahedral 3d transition metal complexes, which can be used for any combination of central metal atom and ligand molecules. A two dimensional spectrochemical series could be used to estimate the ligand field splitting energy of not only known compounds but also the unknown compounds. Therefore, it should be possible to contr...

The syntheses and characterization of tetranuclear Ni complexes [(L2)Ni4][C104]4 (3) and [(L2)Ni4(NCS)4] (4) of a 40-membered macrocyclic octaamine-tetrathiophenolate ligand (L2)4are described. Single-crystal X-ray structure analysis of 4 reveals well-separated molecules of the tetranuclear isothiocyanate complex [(L2) N i 4(NCS)4]. The four Ni" centers are arranged in binuclear [N2N i(^2-SR)2N...

Herein we communicate the first example of a pressure induced octahedral tilting distortion in a double perovskite phase, which was observed during the structural characterization of Ba2YTaO6 using high-pressure synchrotron X-ray powder diffraction.

We describe a new Zome-like system that exhibits octahedral rather than icosahedral symmetry, and illustrate its application to 3-dimensional projections of 4-dimensional regular polychora. Furthermore, we explain the existence of that system, as well as an infinite family of related systems, in terms of Hamilton’s quaternions and the binary icosahedral group. Finally, we describe a remarkably ...