Poly[[aqua­tris­(μ3-hexa­methyl­ene­tetra­mine-κ3 N,N′,N′′)tris­(p-toluene­sulfonato-κO)tris­ilver(I)] trihydrate]

There are three AgI cations, three p-toluene­sulfonate (pts) anions, three hexa­methyl­ene­tetra­mine (hmt) mol­ecules and four water mol­ecules in the asymmetric unit of the title coordination polymer, {[Ag3(C7H7O3S)3(C6H12N4)3(H2O)]·3H2O}n. Two of the pts anions show positional disorder of their O atoms in 0.60:0.40 and 0.50:0.50 ratios. The AgI ion is coordinated by three hmt mol­ecules in an approximate trigonal–planar AgN3 arrangement. In each case, longer Ag—O bonds to a water mol­ecule and a pts anion complete a distorted trigonal–bipyramidal AgN3O2 geometry for the metal ion. In the crystal, the bridging hmt mol­ecules and pts ions generate a wave-like layer parallel to (001) and O—H⋯O hydrogen-bonding inter­actions consolidate the packing

Binary population synthesis study on supersoft X-ray phase of single degenerate type Ia supernova progenitors

In the single degenerate (SD) scenario for type Ia supernovae (SNe Ia), a mass-accreting white dwarf is expected to experience a supersoft X-ray source (SSS) phase. However, some recent observations showed that the expected number of the mass-accreting WD is much lower than that predicted from theory, whatever in spiral or elliptical galaxies. In this paper, we did a binary population synthesis study on the relative duration of the SSS phase to their whole mass-increasing phase of WDs leading to SNe Ia. We found that for about 40% progenitor systems, the relative duration is shorter than 2% and the evolution of the mean relative duration shows that it is always smaller than 5%, whatever for young or old SNe Ia. In addition, before SNe Ia explosion, more than 55% progenitor systems are experiencing a dwarf novae phase, and only no more than 10% is staying SSS phase. These results are consistent with the recent observations, and imply that both in early- and late-type galaxies, only a small fraction of mass-accreting WD resulting in SNe Ia contribute to the supersoft X-ray flux. So, although our results are not directly related to the X-ray output of SN Ia progenitor, the low supersoft X-ray luminosity observed in early type galaxies may have no ability to exclude the validity of SD model. On the contrary, it is evidence to support the SD scenario.Comment: 9 pages, 5 figures, accepted for publication in RA

(Z)-2-[(2,4-Dimethyl­phen­yl)imino]-1,3-thia­zinan-4-one

In the title compound, C12H14N2OS, the 1,3-thia­zinane ring displays a screw-boat conformation. In the crystal, pairs of centrosymmetrically related mol­ecules are linked by pairs of N—H⋯O hydrogen bonds into dimers. C—H⋯π inter­actions occur between adjacent dimers

Relative entropy of entanglement of a kind of two qubit entangled states

We in this paper strictly prove that some block diagonalizable two qubit entangled state with six none zero elements reaches its quantum relative entropy entanglement by the a separable state having the same matrix structure. The entangled state comprises local filtering result state as a special case.Comment: 5 page