The following case of the Determinantal Conjecture of Marcus and de Oliveira is established. Let A and C be hermitian n × n matrices with prescribed eigenvalues a1, . . . , an and c1, . . . , cn, respectively. Let κ be a non-real unimodular complex number, B = κC, bj = κcj for j = 1, . . . , n. Then det(A− B) ∈ co 8< : n Y j=1 (aj − bσ(j)); σ ∈ Sn 9= ; , where Sn denotes the group of all permut...

In the title complex, (C(24)H(20)P)(2)[Sn(C(2)H(3)NO(2)S(3))(3)], the Sn(IV) atom is coordinated by three N-(methyl-sulfon-yl)dithio-carbimate bidentate ligands through the anionic S atoms in a slightly distorted octa-hedral coordination geometry. There is one half-mol-ecule in the asymmetric unit; the complex is located on a crystallographic twofold rotation axis passing through the cation and...

We investigate the representation of a symmetric group Sn on the homology of its Quillen complex at a prime p. For homology groups in small codimension, we derive an explicit formula for this representation in terms of the representations of symmetric groups on homology groups of p-uniform hypergraph matching complexes. We conjecture an explicit formula for the representation of Sn on the top h...

A Sn(IV) meso-tetra(4-methylthiolphenyl) N-confused porphyrin (4-Sn) complex was prepared to facilitate a comparison of the photophysicochemical and singlet oxygen photosensitiser properties series complexes meso-4-methylthiolphenyl-substituted porphyrin, corrole, chlorin, porphyrin. 4-Sn has an unusually high quantum (ΦΔ) yield 0.88, markedly higher than ΦΔ values other in this series. Thorlab...

Abstract Crystallization of [(Ph 3 Sn) 2 SeO 4 ] ⋅ 1.5H O in methanol leads to the formation [{(Ph } CH OH] n ( 1 ) which constitutes a new specimen organotin(IV) selenate derivatives. In solid state, complex is arranged polymeric zig-zag chains, composed alternating Ph Sn and groups. addition, pendant OH moieties are branched along chains according syndiotactic organization via Sn-O-Se connect...

In this paper we examine the electronic and geometrical structure of impurity-vacancy complexes in Si and Ge. Already Watkins suggested that in Si the pairing of Sn with the vacancy produces a complex with the Sn-atom at the bond center and the vacancy split into two half vacancies on the neighboring sites. Within the framework of density-functional theory we use two complementary ab initio met...

Diaminostannylenes react with [Ru(3)(CO)(12)] without cluster fragmentation to give carbonyl substitution products regardless of the steric demand of the diaminostannylene reagent. Thus, the Sn(3)Ru(3) clusters [Ru(3){μ-Sn(NCH(2)(t)Bu)(2)C(6)H(4)}(3)(CO)(9)] (4) and [Ru(3){μ-Sn(HMDS)(2)}(3)(CO)(9)] (6) [HMDS = N(SiMe(3))(2)] have been prepared in good yields by treating [Ru(3)(CO)(12)] with an ...

Spin chains can be used to describe a wide range of platforms for quantum computation and information. They enable the understanding, demonstration, modeling numerous useful phenomena, such as high fidelity transfer states, creation distribution entanglement, resources measurement-based processing. In this paper, more complex spin system, 2D network (SN) engineered by applying suitable unitarie...

In title compound, [Sn(C(6)H(5))(3)(C(9)H(6)BrN(2)OS(2))], the Sn atom is five-coordinated and the 1,3,4-thia-diazole-2-thiol ligand acts as an S,N-bidentate chelating ligand. The five-coordinate Sn(IV) atom forms four primary bonds, three to the phenyl groups and one to the S atom. Thus, the title complex has a distorted cis-trigonal bipyramidal geometry with the S atom and two C atoms occupyi...