凸柱体与摄动体的极值问题

本文证明了由Ｚｏｎｏｉｄ体生成的凸柱体的一个极值性质,并研究了在Ｊｏｈｎ基上的凸摄动体的最大Ｈａｕｓｏｄｏｒｆｆ距离和平均宽度的下界．     

Local structure in perovskite relaxor ferroelectrics: high-resolution 93Nb 3QMAS NMR

Solid solutions of (1'-x)Pb(Mg(1/3)Nb(2/3))O3xPb(Sc(1/2)Nb(1/2))O3 (PMN/PSN) have been investigated using high-resolution 93Nb 3-quantum magic-angle spinning nuclear magnetic resonance experiments (3QMAS NMR). In previous MAS NMR investigations, the local B-cation ordering in these relaxor ferroelectric solid solutions was quantitatively determined. However, in conventional one-dimensional MAS spectra the effects of chemical shifts and quadrupole interaction are convoluted; this, in addition to the insufficient resolution, precludes reliable extraction of the values of isotropic chemical shift and quadrupole coupling product. In the current 3QMAS investigation, 93Nb spectra are presented for concentrations x=0, 0.1, 0.2, 0.6, 0.7, and 0.9 at high magnetic field (19.6 T) and fast sample spinning speed (35.7 kHz). Seven narrow peaks and two broad components are observed. The unique high-resolution of the two-dimensional 3QMAS spectra enables unambiguous and consistent assignments of spectral intensities to the specific 28 nearest B-site neighbor (nBn) configurations, (NMg, NSc, NNb) where each number ranges from 0 to 6 and their sum is 6. It is now possible to isolate the isotropic chemical shift and quadrupole coupling product and separately determine their values for most of the 28 nBn configurations. The isotropic chemical shift depends linearly on the number of Mg2+ cations in the configuration; delta iso CS=(13.7 +/- 0.1)NMg-970 +/- 0.4 ppm, regardless of the ratio NSc/NNb. For the seven Nb5+-deficient configurations (NMg, 6-NMg, 0) and the pure niobium configuration (0, 0, 6), the quadrupole coupling products (and hence the electric field gradients) are small (PQ approximately 6-12 MHz) and for the remaining configurations containing small, ferroelectric active Nb5+ ions, the quadrupole coupling products are significantly larger (PQ approximately 40 MHz), indicating larger electric field gradients.     

Application of iso-temperature method of multiple rate to kinetic analysis

A new method of the multiple rate iso-temperature was used to define the most probable mechanism g(α) of a reaction; the iterative iso-conversional procedure has been employed to estimate apparent activation energy E _a, the pre-exponential factor A was obtained on the basis of E _a and g(α). In this new method, the thermal analysis kinetics triplet of dehydration of calcium oxalate monohydrate is determined, which apparent activation energy E _a is 82.83 kJ mol^-1, pre-exponential factor A is 1.142·10⁵-1.235·10⁵ s^-1, the most probable mechanism belongs to phase boundary reaction R_n with integral form g(α)=1-(1-α)ⁿ and differential form f(α)=n(1-α)^1-(1/n), where accommodation factor n=2.40-1.40.     

THE UNIFORMITY OF DISTRIBUTION OF SUBSTITUENTS ALONG THE CHAIN OF CARBOXYMETHYL CELLULOSE SYNTHESIZED IN TWO-PHASE MEDIUM C6H66——C2H5OH

 Based on the property that carboxymethylcellulose (CMC ) can be de-graded to anhydroglucose residues by cellulase, the rate constant (K) of enzymatic degra-dation of CMC synthesized in the benzene-ethanol medium has been determined. Further-morel experimental equation K = 2.71× 10^-2(DS)^-1.2 reflecting the relationship betweenK and the degree of substitution (DS) is correlated and used to describe chemical mi-crostructure uniformity of the distribution of substituents along chains effectively. Chain structure parameters of enzymatic degradation products of CMC — the number of chain breaks and the percentage of glucose released have been also measured.Average length of substituted and unsubstituted chain segments are calculated simultaneously.Through the study of static and dynamic procedures of enzymatic degradation,the method to characterize the distribution of substituents of CMC along the chain has been improved.     

苯甲基化木材溶液代替聚醚多元醇使用的研究

将苯甲基化木粉溶于四氢呋喃中 ,可以代替聚醚多元醇制备热固性材料 .以木材溶液的羟基值为指标 ,针对下层粘稠状物质 ,考察了不同溶液化条件对木材溶液活性羟基值的影响 ,并利用色质联用考察了苯甲基化木粉溶液化后上层清液中的组成 .实验证明 ,木材溶液能够代替聚醚多元醇使用的是下层的粘稠状物质 .同时实验结果表明 ,为了保证木材溶液制得的热固性材料具有足够的强度 ,溶液化时间应低于 6h ,液固比低于 6∶1.使用HCl与H3PO4 的混合酸比使用单一酸的催化效果更好     

聚丙烯酸酯/环氧树脂互穿网络聚合物的研究Ⅲ.橡胶态弹性模量和互穿缠结

采用一步法（Ｓｉｍｕｌｔａｎｅｏｕｓｌｙ）合成了双组分的聚丙烯酸酯／环氧树脂互穿网络聚合物（ＩＰＮｓ）．选择预溶胀方法制备了聚丙烯酸酯和环氧树脂两种组分网络．测定了各种组分比的ＩＰＮ和不同溶胀度下的组分网络的动态力学性能，从橡胶态弹性理论出发讨论了ＩＰＮ和预溶胀网络之间在橡胶态弹性模量上的关系，并据此指出互穿缠结增加了网络的有效“交联密度”，因此，它对ＩＰＮ的橡胶态弹性模量有较大的贡献．密度测量的结果也提供了另一方面的证据     

舰船远程尾流的散射光能量分布特性

为探索光尾流的探测和自导模式,研究了舰船远程尾流中气泡群的散射光能量分布特性.根据米氏理论推导了舰船尾流气泡群的光散射能量分布函数的计算公式,基于此公式对干净的尾流气泡群和覆盖着两种典型有机膜的脏尾流气泡群的能量分布函数进行了数值计算,得到了它们的能量分布特性.计算和分析结果表明,气泡群的前向光散射能量远大于后向散射,前向散射能量占总散射能量的90%以上;散射能量分布函数在小于1°的前向小角度散射角范围内迅速增加到40%以上,然后随散射角的增加缓慢增加;气泡表面附着的有机膜会较显著的增强气泡群的后向散射能量.但由于后向散射能量占总散射能量的比例很小,有机膜对前向散射能量的减小幅度不大.     

改性松香路标用涂料研制

研究改性松香制备工艺,改性松香路标用涂料组成,配制和性能测试。实验结果表明所配制的路标用涂料具有较好的性能。     

A Free Boundary Problem Governed by Nonlinear Degenerate Equations of Parabolic Type

We consider a free boundary problem connected with non-Newtonian fluid motion, i.e. the flow of power law fluids with the yield stress. We obtain the solution of the relevant approximation problem by means of a parabolic quasi-variational inequality, and then obtain the weak solution of the original problem after a passage to the limit. Finally, we study the regularity of the weak solution.