Liquid chromatographic determination of the plasticizer di(2-ethylhexyl) phthalate (DEHP) in PVC plastics

A fast, simple and reliable method for the analysis of DEHP in PVC products was developed using a one-step Soxhlet extraction prior to HPLC determination. The linear range from 1.25 /g to 250 mg/g of DEHP in PVC was found sufficient to cover the normal concentrations encountered. The reliability of the method was established by comparison with the ASTM method and no potential interferent was identified except a large concentration of DIMP.     

Reaction cross sections in the ten-nucleon system

The properties of the 10-nucleon system are investigated with a multiconfiguration resonating-group method, which consists of +⁶Li,d+⁸Be,d+⁸Be^*, and +⁶Li^* cluster configurations, where⁶Li^* and⁸Be^* represent the rotational excited-states of⁶Li and⁸Be with orbital angular momentum equal to 2. The results show that, among reactions initiated from the +⁶Li incident channel, the inelastic-scattering process⁶Li(,)⁶Li^* dominates. The -transfer reactions⁶Li(,d)⁸Be and⁶Li(,d)⁸Be^* have smaller cross sections, but still contribute, on the average, to about one-third of the +⁶Li total reaction cross sections in the centre-of-mass energy region between 12 and 24 MeV. The calculated +⁶Li total reaction cross section at 27 MeV is equal to around 70% of the empirical value obtained by analyzing +⁶Li differential scattering cross-section data. This is a respectable amount, considering the complexity of the problem and that no adjustable parameters are involved in the calculation. Based on the findings of this and previous investigations, some general criteria which govern the importance of cluster-transfer processes in light nuclear systems have also been obtained. These criteria should be very useful in qualitatively understanding the behaviour of other systems that have hitherto not been studied with the multi-configuration resonating-group method.     

Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality

In noncommutative probability theory independence can be based on free products instead of tensor products. This yields a highly noncommutative theory: free probability theory (for an introduction see [9]). The analogue of entropy in the free context was introduced by the second named author in [8]. Here we show that Shannon's entropy power inequality ([6, 1]) has an analogue for the free entropy (X) (Theorem 2.1).The free entropy, consistent with Boltzmann's formulaS=klogW, was defined via volumes of matricial microstates. Proving the free entropy power inequality naturally becomes a geometric question.Restricting the Minkowski sum of two sets means to specify the set of pairs of points which will be added. The relevant inequality, which holds when the set of addable points is sufficiently large, differs from the Brunn-Minkowski inequality by having the exponent 1/n replaced by 2/n. Its proof uses the rearrangement inequality of Brascamp-Lieb-Lüttinger ([2]). Besides the free entropy power inequality, note that the inequality for restricted Minkowski sums may also underlie the classical Shannon entropy power inequality (see 3.2 below).Research supported in part by grants from the National Science Foundation.     

黑腔靶X光转换,输运的定量测量

为了测量黑腔靶X光引光效率、转换效率,我们设计了相应的分解靶(泄漏靶)实验,1989～1992年在″神光″装置上共进行了四次漏靶分解实验,利用灵敏度作了绝对标定的平响应X光二极管对漏靶注入孔、引光孔流出的X光角分布进行了测量,测出了x光角分布,得到了黑腔靶X光转换效率为50％～60％,引光效率约6％,为以后辐射驱动内爆研究的理论计算和靶的优化设计提供了重要的数据。