The Sommerfeld half-plane problem revisited,V: The bifurcated guide with mixed boundary conditions on the septum

We discuss the solution of the boundary value problem in a duct with a centered septum [9]. On the lower wall of the duct a Neumann condition is applied while on the upper wall a Dirichlet condition is applied. On the septum we apply a Dirichlet condition on the lower side and a Neumann condition on the upper one. This problem is formulated as a pair of integral equations of the Wiener–Hopf type for which we supply solutions for two modes of excitation as well as real and complex wave number. A critical examination is made of the construction, which reduces the problem to one in complex analysis. For real wave number, the physical parameters are provided in very simple forms.     

The Rhodium(II) Carbenoid Cyclization-Cycloaddition Cascade of alpha-Diazo Dihydroindolinones for the Synthesis of Novel Azapolycyclic Ring Systems

Tandem carbonyl ylide formation-1,3-dipolar cycloaddition of α-diazo N-acetyl-tetrahydro-β-carbolin-1-one derivatives occur efficiently in the presence of a dirhodium catalyst to afford bimolecular cycloadducts in high yield. The Rh(II)-catalyzed reaction also takes place intramolecularly to give products derived from trapping of the carbonyl ylide dipole with a tethered alkene. The power of the intramolecular cascade sequence is that it rapidly assembles a pentacyclic ring system containing three new stereocenters and two adjacent quaternary centers stereospecifically in a single step and in high yield.     

An LX-10 kinetic model calibrated using simulations of multiple small-scale thermal safety tests

A new chemical kinetic model for the beta-delta transition and decomposition of LX-10 (95% octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine, 5% Viton A binder) is presented here. This model implements aspects of previous kinetic models but calibrates the model parameters to data sets of three experiments: differential scanning calorimetry (DSC), thermogravimetric analysis (TGA), and one-dimensional time to explosion (ODTX). The calibration procedure contains three stages: one stage uses open-pan DSC and TGA to develop a base reaction for formation of heavy gases, a second stage features closed-pan DSC to ascertain the autocatalytic behavior of reactant gases attacking the solid explosive, and a final stage adjusts the rate for the breakdown of heavy reactant gases using ODTX experimental data. The resultant model presents a large improvement in the agreement between simulated DSC and TGA results and their respective experiments while maintaining the same level of agreement with ODTX, scaled thermal explosion, and laser heating explosion times when compared to previous models.     

New ruthenium(II) complexes with enantiomerically pure bis- and tris(pinene)-fused tridentate ligands. Synthesis, characterization and stereoisomeric analysis

A new set of Ru-Cl complexes containing either the pinene[5,6]bpea ligand (L1) or the C3 symmetric pinene[4,5]tpmOMe (L2) tridentate ligand in combination with the bidentate (B) 2,2'-bipyridine (bpy) or 1,2-diphenylphosphinoethane (dppe) with general formula [RuCl(L1 or L2)(B)](+) have been prepared and thoroughly characterized. In the solid state, X-ray diffraction analysis techniques have been used. In solution, cyclic voltammetry (CV) and 1D and 2D NMR spectroscopy have been employed. DFT calculations have been also performed on these complexes and their achiral analogues previously reported in our group, to interpret and complement experimental results. Whereas isomerically pure complexes ([Ru(II)Cl(L2)(bpy)](BF4), 5 and [Ru(II)Cl(L2)(dppe)](BF4), 6) are obtained when starting from the highly symmetric [Ru(III)Cl3(L2)], 2, isomeric mixtures of cis, fac-[Ru(II)Cl(L1)(bpy)](BF4) (3b/3b'), trans,fac- (3a) and up/down,mer- (3c, 3d) isomers are formed when bpy is added to the less symmetric [Ru(III)Cl3(L1)], 1, in contrast to the case of the bulky dppe ligand that, upon coordination to 1, leads to the trans,fac-[Ru(II)Cl(L1)(dppe)](BF4) (4a) complex as a sole isomer due to steric factors.     

Structure–Reactivity Relationship in the Reaction of Highly Reactive Zinc with Alkyl Bromides

Zinc is different! Unlike with magnesium or lithium, the reactions of organic bromides with highly reactive zinc (Zn*) show sensitivity for the structure of the organic moiety. Selective insertions of Zn into tertiary C–Br bonds can be achieved [Eq. (a)]. Competitive kinetic techniques were used to quantify these findings.     

Additive Pummerer reaction of heteroaromatic sulfilimines with carbon nucleophiles

The additive Pummerer reaction of several heteroaromatic sulfilimines has been investigated. The overall process involves the reaction of the sulfilimine with TFAA to produce a transient N-tosyl-N-trifluoroacetyl sulfonium ion. Nucleophilic attack at the adjacent vinyl carbon results in the ejection of the sulfonamide group and the resulting thionium ion loses a proton to give the observed product.     

Analysis of the substrate specificity of the Dim-5 histone lysine methyltransferase using peptide arrays

Histone methylation is an epigenetic mark essential for gene regulation and development. We introduce peptide SPOT synthesis to study sequence specificity of the Dim-5 histone-3 lysine-9 methyltransferase. Dim-5 recognizes R8-G12 of the H3 tail with T11 and G12 being the most important specificity determinants. Exchange of H3 tail residue S10 and T11 by E strongly reduced methylation by Dim-5, suggesting that phosphorylation of S10 or T11 may regulate the activity of Dim-5. In the Dim-5/peptide structure, E227 interacts with H3R8 and D209 with H3-S10. Mutations of E227 or D209 caused predictable changes in the substrate preference, illustrating that peptide recognition of histone methyltransferases can be altered by protein design. Comparative analyses of peptide arrays with wild-type and mutant enzymes, therefore, are well suited to investigate the target specificity of protein methyltransferases and study epigenetic crosstalk.     

Modulating Electronic Coupling Using O- and S-donor Linkers

Structures of compounds having two dimolybdenum units Mo2(DAniF)3+ (DAniF = N,N'-di-p-anisylformamidinate) connected by unsubstituted oxamidate (1) and dithiooxamidate (2) linkers are isomorphous, and the cores of the molecules are planar because of two intramolecular hydrogen bonds within the linkers. Molecular mechanics calculations show a barrier of rotation along the C-C bond of approximately 10 kcal x mol(-1), which suggests that planar conformations are also expected in solution. Changing the two oxygen atoms in the linker of 1 to sulfur atoms results in a significant enhancement of the electronic coupling between the dimetal units (Delta(E1/2) = 204 mV for 1 and 407 mV for 2). The electronic spectrum of 2 shows an intense low energy (600 nm) metal-to-ligand charge transfer (MLCT) band, whereas that for 1 shows only a weak absorption band at 460 nm. DFT calculations on models 1' and 2', in which the anisyl groups were replaced by hydrogen atoms, show that the energy of the pi* orbital of the linker is much lower for 2'. This allows dpi-ddelta interactions from the electrons in the delta orbitals of the Mo2 unit to the sulfur atom that in turn facilitates an electron hopping pathway.     

Studies on the synthesis of (+/-)-stenine: a combined intramolecular [4 + 2]-cycloaddition/rearrangement cascade

Several cyclic 2-(methylthio)-5-amidofurans containing tethered unsaturation were prepared via the reaction of dimethyl(methylthio)sulfonium tetrafluoroborate (DMSTF) with beta-alkoxy-gamma-dithiane lactams. Thermolysis of these furans resulted in an intramolecular Diels-Alder reaction (IMDAF). The resulting oxa-bridge cycloadducts underwent a subsequent 1,2-methylthio shift to form tricyclic lactams in high yield. Furan 9, annealed to an azepine ring, underwent the IMDAF reaction at or below room temperature. Conformational effects imposed by the placement of a carbonyl group within the tether, combined with a rotational bias about the C(2)-N bond, enhances the rate of the IMDAF reaction of the seven-ring system so that it occurs readily at 25 degrees C. The feasibility of using the cascade sequence in the context of a total synthesis of the Stemona alkaloid (+/-)-stenine was explored. The eventual synthesis of (+/-)-stenine was carried out by an intramolecular Diels-Alder reaction of a 2-amido-5-methylthio-substituted furan containing a trans-pent-3-enoic acid methyl ester side chain in order to create the desired azepinoindole skeleton. This was followed by a series of reductions to set the syn-anti stereochemical relationship at the incipient ring fusion sites present in stenine. All six stereocenters at the azepinoindole core were derived in high stereoselectivity from the functionality present in the rearranged cycloadduct 10. Compound 10 was converted to stenine in 11 additional steps via a sequence that features a Crabtree's-catalyst directed hydrogenation, iodolactonization, and a Keck allylation.     

Efficient construction of the oxatricyclo[6.3.1.0(0,0)]dodecane core of komaroviquinone using a cyclization/cycloaddition cascade of a rhodium carbenoid intermediate

The rhodium(II)-catalyzed cyclization/cycloaddition cascade of a o-carbomethoxyaryl diazo dione is described as a potential route to the oxatricyclo[6.3.1.0(0,0)]dodecane substructure of the icetexane diterpene komaroviquinone. The initially formed carbonyl ylide dipole prefers to cyclize to an epoxide at 25 degrees C but can be induced to undergo cycloaddition across the tethered pi-bond at higher temperatures. [reaction: see text]