Photoinduced selective hydrophosphinylation of allylic compounds with diphenylphosphine oxide leading to γ-functionalized P-ligand precursors

A series of bifunctional phosphine compounds promising as γ-functionalized phosphine ligand precursors are conveniently synthesized by the radical addition of diphenylphosphine oxide (Ph₂P(O)H) to allylic compounds under photoirradiation. The photoinduced addition proceeds regioselectively in an anti-Markovnikov manner, and phosphines having hydroxy, alkoxy, aryloxy, acyloxy, and thio groups at the γ-position can be prepared by simple operation. Interestingly, novel continuous addition of Ph₂P(O)H to two molecules of allylic ethers and related compounds is also observed, although their yields are moderate. The substituent and steric effects of the allylic substituents on the radical addition are discussed in detail.

     

24-Epimarkhacanasin C,An Epimeric Cycloartane-Type Triterpenoid from the Leaves of Markhamia stipulata var. canaense

Chemistry of Natural Compounds - One new cycloartane-type triterpenoid, named 24-epimarkhacanasin C (1), together with four known flavonoids, apigenin (2), luteolin (3), apigenin...     

Zeros of polynomials with four-term recurrence and linear coefficients

The Ramanujan Journal - This paper investigates the zero distribution of a sequence of polynomials $$\left\{ P_{m}(z)\right\} _{m=0}^{\infty }$$ which satisfy a four-term recurrence whose...     

Lyapunov Stability of Differential Inclusions with Lipschitz Cusco Perturbations of Maximal Monotone Operators

Set-Valued and Variational Analysis - We give new criteria for weak and strong invariant closed sets for differential inclusions in $\mathbb {R}^{n}$ , and which are simultaneously governed by...     

Pressure effects on EXAFS Debye-Waller factor and melting curve of solid krypton

The pressure effects on atomic mean-square displacement, extended X-ray absorption fine structure (EXAFS) Debye-Waller factor and melting temperature of solid krypton have been investigated in within the statistical moment method scheme in quantum statistical mechanics. By assuming the interaction between atoms can be described by Buckingham potential, we performed the numerical calculations for krypton up to pressure 120?GPa. Our calculations show that the atomic mean-square displacement and EXAFS Debye-Waller factor of krypton crystal depend strongly on pressure. They make the robust reduction of the EXAFS peak height. Our results are in good and reasonable agreements with available experimental data. This approach gives us a relatively simple method for qualitatively calculating high-pressure thermo-physical properties of materials. Moreover, it can be used to verify future high-pressure experimental and theoretical works.     

Catalytic Synthesis of Trifluoromethyl Cyclopropenes and Oligo-Cyclopropenes

The synthesis of trifluoromethylated cyclopropenes is often associated with important applications in drug discovery and functional materials. In this report, we describe the use of readily available chiral rhodium(II) catalysts for a highly efficient asymmetric cyclopropenation reaction of fluorinated donor–acceptor diazoalkanes with a broad variety of aliphatic and aromatic alkynes. Further studies highlight the unique reactivity of fluorinated donor–acceptor diazoalkanes in the synthesis of oligo-cyclopropenes. Subsequent C−H functionalization of trifluoromethyl cyclopropenes furnishes densely substituted cyclopropene frameworks and also allows the alternative synthesis of bis-cyclopropenes.     

A uniform bound of reducibility index of good parameter ideals for certain class of modules

Let $(R,\mathfrak{m})$ be a Noetherian local ring and M a finitely generated R-module. The invariants $\mathrm{p}(M)$ and $\mathrm{sp}(M)$ of M were introduced in [3] and [17] in order to measure the non-Cohen–Macaulayness and the non-sequential-Cohen–Macaulayness of M, respectively. Let $M=D_0?D_1?\dots ?D_k$ be the filtration of M such that $D_i$ is the largest submodule of M of dimension less than $\dim ?D_{i?1}$ for all $i\le k$ and $\mathrm{p}(D_k)\le 1$. In this paper we prove that if $\mathrm{sp}(M)\le 1$, then there exists a constant c such that ${\mathrm{ir}}_M(\mathfrak{q}M)\le c$ for all good parameter ideals $\mathfrak{q}$ of M with respect to this filtration. Here ${\mathrm{ir}}_M(\mathfrak{q}M)$ is the reducibility index of $\mathfrak{q}$ on M. This is an extension of the main results of [19], [20], [24].     

Complete elimination of the beam hardening effect in quantitative absorption tomography using polychromatic x-rays with single-component specimens

Absorption tomography has been a unique technique for 3D imaging in many scientific research and applications. However, the use of polychromatic x-ray sources for quantitative tomography has been limited due to the well-known beam hardening effect. In this article, we will describe the theoretical details of a new technique for quantitative tomography using polychromatic x-rays. The technique incorporates the full spectral information of the incident beam into the tomographic reconstruction process. Consequently, beam-hardening effects are eliminated and the result is quantitative. We will also demonstrate the technique experimentally using a single-component specimen. This technique promises great opportunities for laboratory-based x-ray sources to be used in quantitative applications.     

Dehydropolymerisation of Methylamine Borane and an N-Substituted Primary Amine Borane Using a PNP Fe Catalyst

Dehydropolymerisation of methylamine borane (H₃B⋅NMeH₂) using the well-known iron amido complex [(PNP)Fe(H)(CO)] (PNP=N(CH₂CH₂PiPr₂)₂) ( 1 ) gives poly(aminoborane)s by a chain-growth mechanism. In toluene, rapid dehydrogenation of H₃B⋅NMeH₂ following first-order behaviour as a limiting case of a more general underlying Michaelis–Menten kinetics is observed, forming aminoborane H₂B=NMeH, which selectively couples to give high-molecular-weight poly(aminoborane)s (H₂BNMeH)_n and only traces of borazine (HBNMe)₃ by depolymerisation after full conversion. Based on a series of comparative experiments using structurally related Fe catalysts and dimethylamine borane (H₃B⋅NMe₂H) polymer formation is proposed to occur by nucleophilic chain growth as reported earlier computationally and experimentally. A silyl functionalised primary borane H₃B⋅N(CH₂SiMe₃)H₂ was studied in homo- and co-dehydropolymerisation reactions to give the first examples for Si containing poly(aminoborane)s.