Poly[tris­[μ2-2-(pyrazol-1-yl)pyrazine]hexa-μ1,3-thio­cyanato-tricadmium(II)]

The asymmetric unit of the title crystal structure, [Cd3(NCS)6(C7H6N4)2]n, contains two independent CdII ions, one of which is located on a crystallographic inversion center. Each independent CdII ion is in a slightly distorted octa­hedral coordination environment, but the disortion from ideally octa­hedral is greater in the environment of the CdII ion on a general position. Both thio­cyanate ligands act as bridges connecting independent CdII ions, and the 2-(pyrazol-1-yl)pyrazine ligands chelate one CdII ion in a bidentate mode while the remaining N atom of the pyrazine ring coordinates to a symmetry-related CdII ion, forming a two-dimensional structure parallel to (211)

A thermodynamically consistent quasi-particle model without density-dependent infinity of the vacuum zero point energy

In this paper, we generalize the improved quasi-particle model proposed in J. Cao et al., [ Phys. Lett. B {\bf711}, 65 (2012)] from finite temperature and zero chemical potential to the case of finite chemical potential and zero temperature, and calculate the equation of state (EOS) for (2+1) flavor Quantum Chromodynamics (QCD) at zero temperature and high density. We first calculate the partition function at finite temperature and chemical potential, then go to the limit $T=0$ and obtain the equation of state (EOS) for cold and dense QCD, which is important for the study of neutron stars. Furthermore, we use this EOS to calculate the quark-number density, the energy density, the quark-number susceptibility and the speed of sound at zero temperature and finite chemical potential and compare our results with the corresponding ones in the existing literature

2,3-Bis(pyrazin-2-yloxyimino)butane

The title mol­ecule, C12H12N6O2, lies on a crystallographic inversion center with all non-H atoms essentially coplanar

Bis[2-(1H-1,2,4-triazol-1-yl-κN 2)-1,10-phenanthroline-κ2 N,N′]zinc(II) bis­(perchlorate)

In the title complex, [Zn(C14H9N5)2](ClO4)2, 2-(1H-1,2,4-triazol-1-yl)-1,10-phenanthroline functions as a tridentate ligand and the ZnII ion assumes a distorted octa­hedral ZnN6 coordination geometry. There is a weak π–π stacking inter­action between symmetry-related triazolyl rings with a centroid–centroid distance of 3.802 (4) Å and a perpendicular distance of 3.413 Å between the rings

[2-(3,5-Dimethyl-1H-pyrazol-1-yl-κN 2)-1,10-phenanthroline-κ2 N,N′]bis­(thio­cyanato-κN)cadmium(II)

In the title complex, [Cd(NCS)2(C17H14N4)], the CdII ion is in a distorted trigonal-bipyramidal CdN5 coordination geometry. In the crystal structure, there is a π–π stacking inter­action involving a pyrazole ring and a symmetry-related pyridine ring with a centroid–centroid distance of 3.578 (3) Å

Di-μ-nitrito-κ3 O:O,O′;κ3 O,O′:O-bis­{[2,6-bis­(pyrazol-1-yl-κN 2)pyridine-κN](nitrito-κ2 O,O′)cadmium(II)}

In the title centrosymmetric binuclear complex, [Cd2(NO2)4(C11H9N5)2], the unique CdII ion is in a distorted dodeca­hedral CdN3O5 coordination environment. The two inversion-related CdII ions are separated by 3.9920 (6) Å and are bridged by two O atoms from two nitrite ligands. There are two types of π–π stacking inter­actions involving symmetry-related pyrazole rings, with centroid–centroid distances of 3.445 (2) and 3.431 (2) Å

Solutions to integrable space-time shifted nonlocal equations

In this paper we present a reduction technique based on bilinearization and double Wronskians (or double Casoratians) to obtain explicit multi-soliton solutions for the integrable space-time shifted nonlocal equations introduced very recently by Ablowitz and Musslimani in [Phys. Lett. A, 2021]. Examples include the space-time shifted nonlocal nonlinear Schr\"odinger and modified Korteweg-de Vries hierarchies and the semi-discrete nonlinear Schr\"odinger equation. It is shown that these nonlocal integrable equations with or without space-time shift(s) reduction share same distributions of eigenvalues but the space-time shift(s) brings new constraints to phase terms in solutions.Comment: 16 page