The crystal and molecular structure of sodium 4‐(2,4,6‐triisopropylbenzoyl)benzoate in terms of the photochemical behaviour of the anion

Contrary to the known 4‐(2,4,6‐triisopropylbenzoyl)benzoate salts, di‐μ‐aqua‐bis[tetraaquasodium(I)] bis[4‐(2,4,6‐triisopropylbenzoyl)benzoate] dihydrate, [Na₂(H₂O)₁₀](C₂₃H₂₇O₃)₂·2H₂O, (1), does not undergo a photochemical Norrish–Yang reaction in the crystalline state. In order to explain this photochemical inactivity, the intermolecular interactions were analyzed by means of the Hirshfeld surface and intramolecular geometrical parameters describing the possibility of a Norrish–Yang reaction were calculated. The reasons for the behaviour of the title salt are similar crystalline environments for both the o‐isopropyl groups in the anion, resulting in similar geometrical parameters and orientations, and that these interaction distances differ significantly from those found in salts where the photochemical reaction occurs.     

3-Lie bialgebras and 3-Lie classical Yang–Baxter equations in low dimensions

In this paper, we give low-dimensional examples of local cocycle 3-Lie bialgebras and double construction 3-Lie bialgebras which were introduced in the study of the classical Yang–Baxter equation and Manin triples for 3-Lie algebras. We give an explicit and practical formula to compute the skew-symmetric solutions of the 3-Lie classical Yang–Baxter equation (CYBE). As an illustration, we obtain all skew-symmetric solutions of the 3-Lie CYBE in complex 3-Lie algebras of dimensions 3 and 4 and then the induced local cocycle 3-Lie bialgebras. On the other hand, we classify the double construction 3-Lie bialgebras for complex 3-Lie algebras in dimensions 3 and 4 and then give the corresponding eight-dimensional pseudo-metric 3-Lie algebras.     

磁绝缘传输线的有损线模型

 开发了一种磁绝缘传输线(MITL)的电路模拟方法。以传输线模拟方法TLCOD为基础,将MITL分成若干段有损传输线单元,每个单元由一段无损传输线及一个对地损失电阻组成。根据磁绝缘准则判断单元的磁绝缘状况并计算相关参量,推导丝阵负载条件下MITL末端界面电压的表达式,阐述模型的求解方法及步骤;用有损线模型计算阳加速器MITL得到的结果与实验结果基本吻合,表明模型正确有效。     

阳加速器水传输线及磁绝缘传输线的电路模拟

 根据阳加速器传输线的阻抗分区特性,建立电路模型,并对短路实验及丝阵内爆实验进行模拟。短路实验的模拟结果与实验测试结果非常接近;通过对丝阵具体条件的分析,合理地引入串联电阻,同样准确地模拟了丝阵内爆的传输线响应特性,并利用模型简单描述了丝阵内爆的一般特性。模拟结果表明,模拟方法正确有效、电路模型可用于变阻抗水传输线及MITL的设计分析及基本规律研究。     

Yang–Lee zeros of the Ising model on random graphs of non planar topology

We obtain in a closed form the 1/N² contribution to the free energy of the two Hermitian N×N random matrix model with nonsymmetric quartic potential. From this result, we calculate numerically the Yang–Lee zeros of the 2D Ising model on dynamical random graphs with the topology of a torus up to n=16 vertices. They are found to be located on the unit circle on the complex fugacity plane. In order to include contributions of even higher topologies we calculated analytically the nonperturbative (sum over all genus) partition function of the model for the special cases of N=1,2 and graphs with n≤20 vertices. Once again the Yang–Lee zeros are shown numerically to lie on the unit circle on the complex fugacity plane. Our results thus generalize previous numerical results on random graphs by going beyond the planar approximation and strongly indicate that there might be a generalization of the Lee–Yang circle theorem for dynamical random graphs.     

阴阳学说与化学元素的关系(人体健康和疾病的物质基础)

论述了中医的阴阳学说与化学元素的关系,揭示了人体内宏量和微量元素是其健康和疾病的物质基础,为元素医学提供了理论依据。     

On the Distribution and Gap Structure of Lee–Yang Zeros for the Ising Model: Periodic and Aperiodic Couplings

In this work, we present some results on the distribution of Lee–Yang zeros for the ferromagnetic Ising model on the rooted Cayley Tree (Bethe Lattice), assuming free boundary conditions, and in the one-dimensional lattice with periodic boundary conditions. In the case of the Cayley Tree, we derive the conditions that the interactions between spins must obey in order to ensure existence or absence of phase transition at finite temperature (T0). The results are first obtained for periodic interactions along the generations of the lattice. Then, using periodic approximants, we are also able to obtain results for aperiodic sequences generated by substitution rules acting on a finite alphabet. The particular examples of the Fibonacci and the Thue-Morse sequences are discussed. Most of the results are obtained for a Cayley Tree with arbitrary order d. We will be concerned in showing whether or not the zeros become dense in the whole unit circle of the fugacity variable. Regarding the one-dimensional Ising model, we derive a general treatment for the structure of gaps (regions free of Lee–Yang zeros) around the unit circle.     

Closed form solution of the diffusion transport equation in multiple scattering

The solution of the Yang transport equation of the multiple scattering theory of charged particles is discussed. The method of Lie groups is utilized for the purpose of the construction of the solution of this equation. The fundamental solution of the Yang equation is provided as the closed form expression valid in the neighborhood of the center of coordinates.     

Identification of absorbed constituents and metabolites in rat plasma after oral administration of Shen‐Song‐Yang‐Xin using ultra‐performance liquid chromatography combined with quadrupole time‐of‐flight mass spectrometry

In this study, a rapid and sensitive method by ultra‐performance liquid chromatography coupled with quadrupole time‐of‐flight mass spectrometry, and Metabolynx^TM software with mass defect filter technique was developed for screening and identification of the metabolites in rat plasma after oral administration of Shen‐Song‐Yang‐Xin capsule (SSYX). A total of 92 SSYX‐related xenobiotics were identified or characterized, including 45 prototypes and 47 metabolites. The results indicated that the absorbed constituents and metabolites mainly came from benzocyclooctadiene lignans, tanshinones, isoquinoline alkaloids and triterpenic acids, while phase I reactions (e.g. hydrogenation, hydroxylation, demethylation) and phase II reaction (glucuronidation) were the main metabolic pathways of these ingredients in SSYX. This is the first study on metabolic profiling of SSYX in rat plasma after oral administration. Furthermore, these findings provide useful information on the potential bioactive compounds, and enhance our understanding of the action mechanism of SSYX. Copyright © 2015 John Wiley & Sons, Ltd.