In the title compound, [PtCl(2)(C(9)H(7)N)(2)]·CH(3)NO(2), the Pt(II) cation is four-coordinated in an essentially square-planar environment by two N atoms from two quinoline ligands and two Cl(-) anions. One of the nearly planar quinoline ligands [maximum deviations = 0.042 (6) and 0.018 (7) Å] is almost perpendicular to the PtCl(2)N(2) unit [maximum deviation = 0.024 (3) Å], making a dihedral...

The asymmetric unit of the title compound, [Pt(C10H5F2N2)(C5H7O2)], comprises one Pt(II) atom, one 2,6-di-fluoro-2,3-bi-pyridine ligand and one acetyl-acetonate anion. The Pt(II) atom adopts a distorted square-planar coordination geometry, being C,N-chelated by the 2,6-di-fluoro-3-(pyridin-2-yl)pyridin-4-yl ligand and O,O'-chelated by the pentane-2,4-dionate ligand. The two pyridine rings of th...

The asymmetric unit of the title compound, [Pt(C(10)H(9)N(3))(2)]Br(2)·H(2)O, contains two crystallographically independent half-mol-ecules of the cationic Pt(II) complex, two Br(-) anions and a lattice water mol-ecule; an inversion centre is located at the centroid of each complex. Each Pt(II) ion is four-coordinated in an essentially square-planar environment by four pyridine N atoms derived ...

We compute the Fadell-Husseini index of the dihedral group D8 = (Z2)2 ⋊ Z2 on S × S, that is, the kernel of the map in equivariant cohomology H ∗ D8 (pt,F2) −→ H ∗ D8 (Sd × Sd,F2). This establishes the complete cohomological lower bound for the two hyperplane case of Grünbaum’s 1960 mass partition problem: For which d and j can two hyperplanes be found that cut j arbitrary measures on R into fo...

in this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. explicit formulas are givenfor dihedral groups $d_{2n}$, quasi-dihedral groups $qd_{2^n}$, generalized quaternion groups $q_{4n}$ and modular $p$-groups $m_{p^n}$.

Three protonated forms of 7-methylguanine (7-MeGH, 1) with different counter ions, [7-MeGH(2)]X (X = NO(3), 1a; ClO(4), 1b; BF(4), 1c) and two Pt(II) complexes, trans-[Pt(NH(3))(2)(7-MeGH-N9)(2)](ClO(4))(2) (4) and trans-[Pt(NH(3))(2)(7-MeGH-N9)(7-MeGH-N3)](ClO(4))(2)·3H(2)O (5) are described and their X-ray crystal structures are reported. 1a-1c form infinite ribbons via pairs of intermolecula...

Two basic theorems of the theory of flexible polyhedra were proven by completely different methods: R. Alexander used analysis, namely, the Stokes theorem, to prove that the total mean curvature remains constant during the flex, while I.Kh. Sabitov used algebra, namely, the theory of resultants, to prove that the oriented volume remains constant during the flex. We show that none of these metho...

in this paper we classify fuzzy subgroups of the dihedral group $d_{pqrs}$  for distinct primes  $p$, $q$, $r$ and $s$. this follows similar work we have done on distinct fuzzy subgroups of some dihedral groups.we present formulae for the number of (i) distinct maximal chains of subgroups, (ii) distinct fuzzy subgroups and (iii) non-isomorphic classes of fuzzy subgroups under our chosen equival...

In the title complex, trans-[PtCl(2)(C(9)H(7)N)(2)], the Pt(II) ion is four-coordinated in an essentially square-planar coordination environment defined by two N atoms from two quinoline (qu) ligands and two Cl(-) anions. The Pt atom is located on an inversion centre and thus the asymmetric unit contains one half of the complex; the PtN(2)Cl(2) unit is exactly planar. The dihedral angle between...