On the topology of total and diamagnetic induced electronic currents in molecules.

An application of the continuous transformation of the origin of the current density (CTOCD) scheme to constrain the diamagnetic induced charge current density (Jd) to be divergenceless is introduced. This results in a family of Jd fields perpendicular and proportional to both the gradient of the electron density and the external magnetic field. Since, in the limit of a complete basis set calculation, the paramagnetic component Jp also becomes divergenceless, we call this scheme CTOCD-DC (CTOCD for Divergenceless Components). CTOCD-DC allows for a topological characterization of both Jd and Jp in terms of their stagnation graphs. All stagnation graphs of Jd from CTOCD-DC contain the zero points of the gradient of the unperturbed electron density (∇ρ). In this way, an intimate topological relation between ρ and the diamagnetic current contribution is revealed. Numerical experiments exemplified by the case of LiNHF in point group symmetry C1 suggest that the corresponding paramagnetic current contributions Jp can show tendencies to accumulate pseudo-stagnation lines in proximity of some kind of the zero points of ∇ρ. Common zero points of ∇ρ and the total currents are exactly zero points of the mechanical momentum density.

Monolithic porous magnesium silicide.

Macroporous magnesium silicide monoliths were successfully prepared by a two-step synthesis procedure. The reaction of gaseous magnesium vapor with macro-/mesoporous silicon, which was generated from hierarchically organized meso-/macroporous silica by a magnesiothermic reduction reaction, resulted in monolithic magnesium silicide with a cellular, open macroporous structure. By adjusting the reaction conditions, such as experimental set-up, temperature and time, challenges namely loss of porosity or phase purity of Mg2Si were addressed and monolithic magnesium silicide with a cellular network builtup was obtained.

How does relativity affect magnetically induced currents?

Magnetically induced probability currents in molecules are studied in relativistic theory. Spin-orbit coupling (SOC) enhances the curvature and gives rise to a previously unobserved current cusp in AuH or small bulge-like distortions in HgH2 at the proton positions. The origin of this curvature is magnetically induced spin-density arising from SOC in the relativistic description.