The Zeros of Orthogonal Polynomials for Jacobi-Exponential Weights

This paper gives the estimates of the zeros of orthogonal polynomials for Jacobi-exponential weights

Di-μ-chlorido-bis­{[1,2-bis­(pyridin-2-ylmeth­oxy)benzene-κ4 N,O,O′,N′]chloridocadmium}

In centrosymmetric dinuclear title compound, [Cd2Cl4(C18H16N2O2)2], the CdII atom is seven-coordinated in a penta­gonal–bipyramidal environment defined by two N atoms and two O atoms from one ligand and three Cl− anions, two of which are bridging. A π–π inter­action between adjacent pyridine rings [centroid–centroid distance = 3.773 (1) Å] further stablizes the dimer

catena-Poly[[bis­(nitrato-κO)cadmium]bis­[μ-1,4-bis­(pyridin-3-yl­meth­oxy)benzene-κ2 N:N′]]

In the title compound, [Cd(NO3)2(C18H16N2O2)2]n, the six-coordinated CdII ion is located on an inversion center and has a distorted octa­hedral environment defined by four N atoms from four 1,4-bis­(pyridin-3-ylmeth­oxy)benzene ligands and two O atoms from two nitrate anions. The ligands link the CdII ions into a ribbon-like structure running along [201]. One O atom of the nitrate anion is disordered over two positions with site-occupancy factors of 0.59 (2) and 0.41 (2)

Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation

The topological charge density and topological susceptibility are determined by multi-probing approximation using overlap fermions in quenched SU(3) gauge theory. Then we investigate the topological structure of the quenched QCD vacuum, and compare it with results from the all-scale topological density, the results are consistent. Random permuted topological charge density is used to check whether these structures represent underlying ordered properties. Pseudoscalar glueball mass is extracted from the two-point correlation function of the topological charge density. We study $3$ ensembles of different lattice spacing $a$ with the same lattice volume $16^{3}\times32$, the results are compatible with the results of all-scale topological charge density, and the topological structures revealed by multi-probing are much closer to all-scale topological charge density than that by eigenmode expansion.Comment: 12 pages,34 figure

catena-Poly[[bis­(nitrato-κO)copper(II)]-bis­[μ-1,4-bis­(pyridin-3-ylmeth­oxy)benzene-κ2 N:N′]]

In the title compound, [Cu(NO3)2(C18H16N2O2)2]n, the CuII ion lies on an inversion center and is six-coordinated in a Jahn–Teller-distored octa­hedral geometry defined by four N atoms of the pyridine derivative forming a square plane, above and below which are the O atoms of the nitrate anion. The ligand links the metal atoms linto a linear chain running along the a axis. One of the nitrate O atoms is equally disordered over two sets of sites

[1,2-Bis(pyridin-2-ylmeth­oxy)benzene-κ4 N,O,O′,N′]bis­(nitrato-κO)cobalt(II)

In the title compound, [Co(NO3)2(C18H16N2O2)], the CoII ion is six-coordinated in a distorted octa­hedral environment defined by two O and two N atoms from the ligand and by two O atoms from two nitrate anions. A two-dimensional network parallel to the ab plane is built up by C—H⋯O hydrogen bonds, which link adjacent mol­ecules in the crystal structure

catena-Poly[[bis­(nitrato-κO)cobalt(II)]-bis­[μ-1,4-bis­(pyridin-3-ylmeth­oxy)benzene-κ2 N:N′]]

In the title compound, [Co(NO3)2(C18H16N2O2)2]n, the CoII ion is located on an inversion center and is six-coordinated in an octa­hedral environment defined by four N atoms of the pyridine rings and two O atoms of the nitrate anions. The ligands link the CoII ions into a linear chain running along [201]. One O atom of the nitrate ligand is disordered over two positions with site-occupancy factors of 0.59 (4) and 0.41 (4)