A multivalent Sb-related cation (Sb(+3) ⇔ Sb(+5)) and S-related anion (S(−2) S(0)) mixed redox Sb 2 S 3 cathode breaks the capacity limit of conventional metal sulfides enables high-capacity aluminum-ion batteries.

Let G be a 2-connected graph. A subset D of V (G) is a 2-connected dominating set if every vertex of G has a neighbor in D and D induces a 2-connected subgraph. Let γ2(G) denote the minimum size of a 2-connected dominating set of G. Let δ(G) be the minimum degree of G. For an n-vertex graph G, we prove that γ2(G) ≤ n ln δ(G) δ(G) (1 + oδ(1)) where oδ(1) denotes a function that tends to 0 as δ →...

A new dinuclear triphenyl-anti-mony(V) derivative with an oxide bridge, [Sb(2)(C(6)H(5))(6)(C(6)H(3)ClNO(2))(2)O], has been synthesized. Each Sb atom is five-coordianted by three C atoms and two O atoms in a distorted trigonal-bipyramidal geometry. Metal centers are bridged by a μ(2)-oxide functionality, and phenyl substituents on Sb atoms are in an staggered arrangement. The Sb-O-Sb bridge dis...

The numbers of 2-connected and 2-edge-connected Steinhaus graphs with n vertices are determined for n¿ 6. The possible generating strings of 2-connected and 2-edge-connected Steinhaus graphs are classi0ed. c © 2002 Elsevier Science B.V. All rights reserved.

We have studied the structure of Sb-terminated GaAs(001) surfaces using reflection high energy electron diffraction, X-ray photoelectron spectroscopy, and scanning tunneling microscopy (STM). Clean, As-terminated (2×4) surfaces were prepared by molecular beam epitaxy and then exposed to Sb4 at 490°C, producing a (2×8)-reconstructed surface terminated with ~1 ML of Sb. Re-heating such a surface ...

We focus on the algorithm underlying the main result of [6]. This is an algebraic formula to generate all connected graphs in a recursive and efficient manner. The key feature is that each graph carries a scalar factor given by the inverse of the order of its group of automorphisms. In the present paper, we revise that algorithm on the level of graphs. Moreover, we extend the result subsequentl...

Single crystals of trizirconium nickel hepta-anti-monide were synthesized from the constituent elements by arc-melting. The compound crystallizes in a unique structure type and belongs to the family of two-layer structures. All crystallographically unique atoms (3 × Zr, 1 × Ni and 7 × Sb) are located at sites with m symmetry. The structure contains 'Zr(2)Ni(2)Sb(5)' and 'Zr(4)Sb(9)' fragments a...