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Aus den Rezensionen: This is a very well written survey of some topics in the geometry of the tetrahedron. Although the subject belongs to that 19th century monument that has been systematically neglected called oldfashioned geometry, the method of solution employed throughout the paper is that of linear algebra, and the paper can be read as making a brilliant point for the teaching of linear a...

Results of a theoretical study on the properties of Ir4 clusters in the gas–phase and on oxide surfaces are presented. The work is based on density functional theory (DFT) within the generalized gradient approximation (GGA) and ultrasoft pseudopotentials. Properties of a small particle such as Ir4 cluster are entirely determined by its geometry. The already known result that the most stable for...

We develop a three dimensional (3D) Galerkin formulation of the matched interface and boundary (MIB) method for solving elliptic partial differential equations (PDEs) with discontinuous coefficients, i.e., the elliptic interface problem. The present approach builds up two sets of elements respectively on two extended subdomains which both include the interface. As a result, two sets of elements...

The magnetic circular dichroism (MCD) associated with the visible d-d electronic transitions of Co(I1) alkaline phosphatase between 400 and 650 nm are similar in the acid form, the alkaline form, and the phosphate and arsenate complexes of the enzyme. Thus similar coordination geometries must exist in all forms of the enzyme. The MCD suggests that this geometry is that of a distorted tetrahedro...

Kissing-loop annealing of nucleic acids occurs in nature in several viruses and in prokaryotic replication, among other circumstances. Nucleobases of two nucleic acid strands (loops) interact with each other, although the two strands cannot wrap around each other completely because of the adjacent double-stranded regions (stems). In this study, we exploited DNA kissing-loop interaction for nano...

In this paper we present a new series of 3-dimensional integrable lattice models with N colors. The case N = 2 generalizes the elliptic model of paper [8]. The weight functions of the models satisfy modified tetrahedron equations with N states and give a commuting family of two-layer transfer-matrices. The dependence on the spectral parameters corresponds to the static limit of the modified tet...