Barzilai–Borwein method with variable sample size for stochastic linear complementarity problems

A smoothing method for solving stochastic linear complementarity problems is proposed. The expected residual minimization reformulation of the problem is considered, and it is approximated by the sample average approximation (SAA). The proposed method is based on sequential solving of a sequence of smoothing problems where each of the smoothing problems is defined with its own sample average approximation. A nonmonotone line search with a variant of the Barzilai–Borwein (BB) gradient direction is used for solving each of the smoothing problems. The BB search direction is efficient and low cost, particularly suitable for nonmonotone line search procedure. The variable sample size scheme allows the sample size to vary across the iterations and the method tends to use smaller sample size far away from the solution. The key point of this strategy is a good balance between the variable sample size strategy, the smoothing sequence and nonmonotonicity. Eventually, the maximal sample size is used and the SAA problem is solved. Presented numerical results indicate that the proposed strategy reduces the overall computational cost.     

Analysis of pesticide residues in tobacco with online size exclusion chromatography with gas chromatography and tandem mass spectrometry

An ultrasensitive method for the simultaneous analysis of pesticides residues in tobacco was developed with online size exclusion chromatography with gas chromatography and tandem mass spectrometry. Tobacco samples were extracted with the solvent mixture of cyclohexane and acetone (7:3, v/v) and centrifuged. Then, the supernatant liquors were injected directly into the online size exclusion chromatography with gas chromatography and tandem mass spectrometry without any other purification procedures after being filtered with a 0.22 μm organic phase filter. The matrix interferences were effectively removed and recoveries of most pesticides were in the range of 72–121%. Especially, for chlorothalonil, the analysis efficiency of this method was much more favorable than that of the general method, in which dispersive solid‐phase extraction was used as an additional purified procedure. In addition, the limits of quantitation of this method were from 1 to 50 μg/kg. Therefore, a rapid, cost‐effective, labor‐saving method was proposed in the present work, which was suitable for the analysis of 41 pesticide residues in tobacco.     

聚(偏氯乙烯-丙烯酸甲酯)-b-聚丙烯酸嵌段共聚物的胶束化行为

通过可逆加成-断裂链转移(RAFT)溶液聚合制备了不同组成的两亲性聚(偏氯乙烯-丙烯酸甲酯)-b-聚丙烯酸(PVDC-b-PAA)嵌段共聚物,采用动态光散射、表面张力仪和透射电镜等研究了PVDC-b-PAA共聚物在水溶液中的胶束化行为,结果表明采用N,N-二甲基甲酰胺溶解、水相渗析可实现PVDC-b-PAA共聚物的自组装,形成均一透明的胶束水溶液;随着亲水PAA嵌段含量的增加,PVDC-b-PAA共聚物的临界胶束浓度逐渐增大;PVDC-b-PAA共聚物自组装形成的胶束呈现典型的球状结构,胶束粒径在70.9~110.9 nm之间,粒径分布较窄;水相p H值影响PVDC-b-PAA共聚物胶束表面zeta电位及胶束的聚集行为,当水相p H值由3变为1,胶束表面由带负电荷变为带正电荷,胶束聚集程度和聚集体平均粒径显著增大,粒径分布变宽.     

A new high‐pressure strontium germanate,SrGe2O5

The Sr–Ge–O system has an earth‐scientific importance as a potentially good low‐pressure analog of the Ca–Si–O system, one of the major components in the constituent minerals of the Earth's crust and mantle. However, it is one of the germanate systems that has not yet been fully examined in the phase relations and structural properties. The recent findings that the SrGeO₃ high‐pressure perovskite phase is the first Ge‐based transparent electronic conductor make the Sr–Ge–O system interesting in the field of materials science. In the present study, we have revealed the existence of a new high‐pressure strontium germanate, SrGe₂O₅. Single crystals of this compound crystallized as a co‐existent phase with SrGeO₃ perovskite single crystals in the sample recovered in the compression experiment of SrGeO₃ pseudowollastonite conducted at 6 GPa and 1223 K. The crystal structure consists of germanium–oxygen framework layers stacked along [001], with Sr atoms located at the 12‐coordinated cuboctahedral site; the layers are formed by the corner linkages between GeO₆ octahedra and between GeO₆ octahedra and GeO₄ tetrahedra. The present SrGe₂O₅ is thus isostructural with the high‐pressure phases of SrSi₂O₅ and BaGe₂O₅. Comparison of these three compounds leads to the conclusion that the structural responses of the GeO₆ and GeO₄ polyhedra to cation substitution at the Sr site are much less than that of the SrO₁₂ cuboctahedron to cation substitution at the Ge sites. Such a difference in the structural response is closely related to the bonding nature.     

Effect of low frequency ultrasound on the surface properties of natural aluminosilicates

Structural and surface properties of different natural aluminosilicates (layered, chain and framework structural types) exposed of 20 kHz ultrasound irradiation (0–120 min) in aqueous and 35 wt%. aqueous H₂O₂ dispersions were studied by X-ray diffraction (XRD), dynamic light scattering (DLS), nitrogen adsorption–desorption, thermal analysis, and Fourier transform infrared spectroscopy (FTIR) techniques. It was confirmed that sonication caused slight changes in the structure of investigated minerals whereas their textural properties were significantly affected. The aqueous dispersions of montmorillonite (Mt), clinoptilolite (Zlt), glauconite (Glt) and palygorskite (Pal) were represented by several particles size fractions according to DLS-study. Ultrasound irradiation produced a decrease of the average particle diameter by 4–6 times in water and by 1.3–5 times in H₂O₂ dispersions except for Pal, which underwent strong agglomeration. A significant increase of total pore volume and pore diameter was observed for Glt sonicated in H₂O₂ dispersions whereas for Pal mainly micropore volume sharply increased in both aqueous and H₂O₂ dispersions.     

Enthalpy assisted size exclusion chromatography. Part 2. Adsorption retention mechanism

A novel high performance liquid chromatographic method for separation of synthetic polymers has been tested. It involves combination of the enthalpic and entropic retention mechanisms, resulting in increased selectivity of separation within a specific molar mass range. In this present case, the enthalpic retention mechanism is adsorption of macromolecules on a bare silica gel column packing. Under critical conditions of enthalpic interactions, homopolymers are known to elute irrespective of their molar mass. However, in the vicinity of critical conditions, a situation can be identified when retention volumes (V(R)) rapidly decrease with increasing molar mass. Typically, this happens for polymer species close to or above their exclusion limit observed with the same column in the absence of enthalpic interactions between macromolecules and packing, that is near "ideal SEC" conditions. The dependence of polymer retention volume on molar mass closely resembles size exclusion conditions. However, the witnessed rate of change in V(R )with polymer molar mass is more pronounced, thus indicating increased selectivity of separation. This situation not only offers the benefit of more selective separation according to molar mass but efficient discrimination of macromolecules possessing different nature and interactivity with the column packing can be accomplished as well.     

In situ micro-sized gel-forming injectable implant using biodegradable amphiphilic graft copolymer

A synthesized graft polymer is used as a biodegradable polymer for an in situ gel-forming injectable implant system. The amphiphilic character of the polymer in the graft structure lowered the viscosity of the polymer solution, which enabled easy injection. A micro-sized gel can be obtained with this system, which has not been found for previous in situ gel-forming systems with poly[(D,L-lactide)-co-glycolide] copolymer. In addition, a protein particle embedded gel exhibits good in vitro drug release performance as a result of the enhanced stability and shorter diffusion length.     

Vesicle size and stability of biomimetic liposomes from 3'-sulfo-Lewis a (SuLea) containing glycolipids

We report on the use of a natural Lewis type saccharide ligand, 3′-sulfo-Lewis a (SuLe^a) for glycocalyx-mimetic surface modification of liposomes. Two SuLe^a-containing glycolipids, monovalent SuLe^a-lipid and trivalent SuLe^a (TSuLe^a)-lipid, were synthesized, and used with 1,2-distearoyl-sn-glycero-3-phosphocholine (DSPC) and cholesterol to prepare unilaminar vesicles (ULVs) by a freeze–thaw and extrusion method. The effects of the glycolipid concentrations and the pore sizes of extrusion membranes on vesicle size and stability were investigated by photon correlation spectroscopy (PCS). Glycoliposomes, with 5% SuLe^a- or TSuLe^a-lipids obtained by 50 nm extrusion, had 25–30% more vesicles less than 100 nm in diameter compared with the 100 nm extrusion. TSuLe^a-liposomes always produced larger vesicle size than SuLe^a-liposomes, which we attribute to the larger TSuLe^a headgroup. Both SuLe^a- and TSuLe^a-liposomes increased their vesicle size with increasing glycolipid concentration from 5% to 15%, and demonstrated good stability at room temperature for over 1 month. Further increasing the glycolipid concentration to 20% resulted in large vesicle aggregation after 5 days for TSuLe^a-liposomes, while the SuLe^a-liposomes remained stable for 10 days. SuLe^a- and TSuLe^a-liposomes with 15% glycolipids demonstrated better stability due to the electrostatic effect from the negatively charged SuLe^a and TSuLe^a headgroups. The results indicate that the biomimetic liposomes with SuLe^a- and TSuLe^a-lipids with 5 to 15% incorporation are sufficiently stable for the potential applications in targeted drug delivery.