The breakup dynamics of D2H + and H2D +following dissociative recombination with low energetic electrons has been studied combining two-dimensional imaging and storage ring techniques. The kinematical correlation between the hydrogen and deuterium atoms produced in the three-body channel was measured. We found that the three particles tend to dissociate with a geometry close to linear, and that...

Let G be a graph and H a subgraph of G. A D(G,H, λ) design is a collection D of subgraphs of G each isomorphic to H so that every 2-path (path of length 2) in G lies in exactly λ subgraphs in D. The problem of constructing D(Kn, Cn, 1) designs is the so-called Dudeney’s round table problem. We denote by Ck a cycle on k vertices and by Pk a path on k vertices. In this paper, we construct D(Kn,n,...

The inverse problem associated to the Davenport constant for some finite abelian group is the problem of determining the structure of all minimal zero-sum sequences of maximal length over this group, and more generally of long minimal zero-sum sequences. Results on the maximal multiplicity of an element in a long minimal zero-sum sequence for groups with large exponent are obtained. For groups ...

For graphs G1, G2, G3, the three-color Ramsey number R(G1, G2, G3) is the smallest integer n such that if we arbitrarily color the edges of the complete graph of order n with 3 colors, then it contains a monochromatic copy of Gi in color i, for some 1 ≤ i ≤ 3. First, we prove that the conjectured equality R3(C2n, C2n, C2n) = 4n, if true, implies that R3(P2n+1, P2n+1, P2n+1) = 4n + 1 for all n ≥...

Water scarcity represents one of the most serious global problems of our time and challenges the advancements in desalination techniques. Although water-filtering architectures based on graphene have greatly advanced the approach to high performance desalination membranes, the controlled-generation of nanopores with particular diameter is tricky and has stunted its wide applications. Here, thro...

Context. Previous studies have indicated that the 372.4 GHz ground transition of ortho-H2D might be a powerful probe of Proto-Planetary Disks. The line could be especially suited for study of the disk mid-plane, where the bulk of the mass resides and where planet formation takes place. Aims. Provide detailed theoretical predictions for the line intensity, profile and maps expected for represent...

Carbon nitride (C2N), a two-dimensional material, is rapidly gaining popularity in the photovoltaic (PV) research community owing to its excellent properties, such as high thermal and chemical stability, non-toxic composition, low fabrication cost over other thin-film solar cells. This study uses detailed numerical investigation explore influence of C2N-based cells with zinc magnesium oxide (Zn...

So it suffices to consider the following two candidates for the shortest path from v and w. The first candidate follows a crossing edge to the opposite v′ of v, and then navigates around the cycle C2n to the target vertex w. The second candidate uses no crossing edges, and simply navigates around C2n. The first of these has length 1 + cv′w, and the second of these has length cvw; so to find a s...