Shaped and dimpled: Silver nanocrystals enclosed by concave surfaces and thus high-index facets have been prepared by simply controlling the growth habit of Ag cubic seeds. Four types of concave nanocrystals, including octahedron, cube, octapod, and trisoctahedron, were obtained (see picture).

Quantum chemical calculations are employed to elucidate the origin of a puzzling diamagnetism for a hexacyanomolybdate(IV) anion, [Mo(CN)6](2-), which was previously reported by Szklarzewicz et al. [Inorg. Chem., 2007, 46, 9531-9533]. The diamagnetism is surprising because for the octahedral (d)(2) complex one would rather expect a (paramagnetic) triplet ground state, clearly favored over a (di...

We study a recurrence defined on a three dimensional lattice and prove that its values are Laurent polynomials in the initial conditions with all coefficients equal to one. This recurrence was studied by Propp and by Fomin and Zelivinsky. Fomin and Zelivinsky were able to prove Laurentness and conjectured that the coefficients were 1. Our proof establishes a bijection between the terms of the L...

Abstract The design of perovskite structures with multiferroic magnetoelectric coupling effects opens up new opportunities in fields such as the creation next-generation spin-dependent multistate information storage technologies. In this work, we prepared a transition metal-implanted coupling, which both and blueshift photoluminescence were observed. introduction metal-generated polarized spin ...

The aim of this note is to investigate isoperimetric-type problems for $3$-dimensional parallelohedra; that is, convex polyhedra whose translates tile the Euclidean space. Our main result states among parallelohedra with unit volume one minimal mean width regular truncated octahedron.