Immersed essential surfaces and Dehn surgery

It is known that an embedded essential surface F in a hyperbolic manifold M remains essential in Dehn filling spaces M(γ) for most slopes γ on a torus boundary component T of M. The main theorem of this paper is to generalize this result to immersed surfaces. More explicitly, if an immersed essential surface F has coannular slopes β₁,…,β_n on T, then there is a constant K such that F remains essential in M(γ) when Δ(γ,β_i)>K for all i. It will also be shown that all but finitely many Freedman tubings of a geometrically finite surface in M are π₁-injective.     

Mechanistic study of stereoselective gas-phase reactions of phosphenium ions with cis- and trans-1,2-diaminocyclohexanes

The 1,3-dioxolane-2-phosphenium ion, 1,3-benzodioxole-2-phosphenium ion, and o-biphenylenephosphenium ion are reported to react in a stereoselective manner with cis- and trans-1,2-diaminocyclohexanes in the gas phase in a Fourier transform ion cyclotron resonance mass spectrometer. Elimination of NH3 from an addition product was observed only for the trans isomer. Several reaction mechanisms were experimentally and computationally examined (B3LYP/6-31G(d)//HF/6-31G(d) + ZPVE level of theory). The most plausible mechanism is initiated by addition of one of the amino groups to the electrophilic phosphorus atom followed by proton transfer between the amino groups. A change to a diaxial conformation for the trans isomer facilitates anchimeric assistance by the now nucleophilic phosphorus atom as the C-N bond breaks to release NH3. Intramolecular proton transfer competes with the conformational change and ultimately leads to ethylene glycol elimination. The transition states for the critical steps of these two reactions are calculated to be nearly equal in magnitude, which rationalizes the observation of both reactions for the trans-diamine. In contrast, the adduct of the cis isomer can eliminate NH3 via a concerted 1,2-hydride shift without a need for a conformational change. However, the barrier associated with this reaction was found to be substantially greater than for proton transfer between the N- and O-atoms. The latter reaction dominates and ultimately leads to ethylene glycol elimination.     

双曲正弦和双曲余弦函数的幂级数余项的不等式

该文建立了双曲正弦和双曲余弦函数的幂级数余项的若干不等式.     

Mixed-mode chromatography for fractionation of peptides, phosphopeptides, and sialylated glycopeptides

A mixed-mode chromatographic (MMC) sorbent was prepared by functionalizing the silica sorbent with a pentafluorophenyl (PFP) ligand. The resulting stationary phase provided a reversed-phase (RP) retention mode along with a relatively mild strong cation-exchange (SCX) retention interaction. While the mechanism of interaction is not entirely clear, it is believed that the silanols in the vicinity of the perfluorinated ligand act as strongly acidic sites. The 2.1 mm x 150 mm column packed with such sorbent was applied to the separation of peptides. Linear RP gradients in combination with salt steps were used for pseudo two-dimensional (2D) separation and fractionation of tryptic peptides. An alternative approach of using linear cation-exchange gradients combined with RP step gradients was also investigated. Besides the attractive forces, the ionic repulsion contributed to the retention mechanism. The analytes with strong negatively charged sites (phosphorylated peptides, sialylated glycopeptides) eluted in significantly different patterns than generic tryptic peptides. This retention mechanism was employed for the isolation of phosphopeptides or sialylated glycopeptides from non-functionalized peptide mixtures. The mixed-mode column was utilized in conjunction with a phosphopeptide enrichment solid phase extraction (SPE) device packed with metal oxide affinity chromatography (MOAC) sorbent. The combination of MOAC and mixed-mode chromatography (MMC) provided for an enhanced extraction selectivity of phosphopeptides and sialylated glycopeptides peptides from complex samples, such as yeast and human serum tryptic digests.     

高碘酸钠氧化法测定羟丙基瓜尔胶上仲羟基取代度

高碘酸钠氧化可以使邻羟基C-C键发生高选择性断裂, 同时产生两分子醛基. 在pH=4.3及25 ℃的条件下, 对瓜尔胶及其衍生物羟丙基瓜尔胶进行高碘酸钠氧化, 采用红外光谱与核磁共振谱对氧化产物结构进行了表征. 结果表明, 氧化后的瓜尔胶和及羟丙基瓜尔胶结构中醛基主要以半缩醛的形式存在. 通过测定高碘酸钠的消耗量得到不同摩尔取代度羟丙基瓜尔胶糖单元上邻羟基的含量, 结合概率分析方法, 确定摩尔取代度分别为0.04, 0.14, 0.36, 0.51, 0.78, 1.05和1.53的羟丙基瓜尔胶在仲羟基上取代度分别为0.02, 0.09, 0.18, 0.30, 0.46, 0.59和1.03, 与其它方法得到的结果一致.