Cyclic and acyclic products from the reactions between methyl 3‐oxobutanoate and arylhydrazines

The molecules of methyl 3‐(2‐nitrophenylhydrazono)butanoate, C₁₁H₁₃N₃O₄, (I), and methyl 3‐(2,4‐dinitrophenylhydrazono)butanoate, C₁₁H₁₂N₄O₆, (II), both prepared from methyl 3‐oxobutanoate and the corresponding nitrophenylhydrazine, exhibit polarized molecular electronic structures; in each of (I) and (II), the molecules are linked into chains by a single C—H...O hydrogen bond. The molecules of 5‐hydroxy‐3‐methyl‐1‐phenyl‐1H‐pyrazole, C₁₀H₁₀N₂O, (III), prepared by the reaction of methyl 3‐oxobutanoate and phenylhydrazine, are linked into chains by a single O—H...N hydrogen bond. The reaction between methyl 3‐oxobutanoate and 3‐nitrophenylhydrazine yields 5‐hydroxy‐3‐methyl‐1‐(3‐nitrophenyl)‐1H‐pyrazole, (IV), which when crystallized from acetone yields 4‐isopropylidene‐3‐methyl‐1‐(3‐nitrophenyl)‐1H‐pyrazol‐5(4H)‐one, C₁₃H₁₃N₃O₃, (V).     

Wedges I

The wedge problem, that is, the propagation of radiation or particles in the presence of a wedge, is examined in different contexts. Generally, the paper follows the historical order from Sommerfeld's early work to recent stochastic results—hindsights and new results being woven in as appropriate. In each context, identifying the relevant mathematical problem has been the key to the solution. Thus each section can be given both a physics and a mathematics title: Section 2: diffraction by reflecting wedge; boundary value problem of differential equations; solutions defined on mutiply connected spaces. Section 3: geometrical theory of diffraction; identificiation of function spaces. Section 4: path integral solutions; path integration on multiply connected spaces; asymptotics on the boundaries of function spaces. Section 5: probing the shape of the wedge and the roughness of its surface; stochastic calculus. Several propagators and Green functions are given explicitly, some old ones and some new ones. They include the knife-edge propagator for Dirichlet and Neumann boundary conditions, the absorbing knife edge propagator, the wedge propagators, the propagator for a free particle on a -sheeted Riemann surface, the Dirichlet and the Neumann wedge Green function.Supported in part by NSF grant PHY84-04931.Supported in part by SERC grant GR/D 15911.Supported in part by a NSERC (Canada) Fellowship.Supported in part by SERC grant B/83301669.     

N,N′‐Dithiobisphthalimide–1,4‐dioxan (1/0.6): a C2/c solvate with disordered solvent molecules localized in channels

N,N′‐Di­thio­bisphthal­imide crystallizes from 1,4‐dioxan solution as a solvate, 3C₁₆H₈N₂O₄S₂·1.8C₄H₈O₂, having space group C2/c. Four of the 12 C₁₆H₈N₂O₄S₂ mol­ecules in the unit cell lie on twofold rotation axes, while the other eight lie in general positions. These mol­ecules are linked by aromatic π–π‐stacking interactions and by C—H?O hydrogen bonds to form a framework enclosing continuous channels running parallel to the [101] direction, which account for ca 20% of the unit‐cell volume. The dioxan mol­ecules lie in these channels disordered across two sets of sites, with one set across an inversion centre and the other across a twofold rotation axis.     

Growth-controlled synthesis of polymer-coated colloidal-gold nanoparticles using electrospray-based chemical reduction

In this study,the controlled nucleation and growth of gold nanoparticles(GNPs)were investigated using a self-repelled mist in a liquid chemical reaction environ...     

Enantioselective synthesis of bicyclo[3.n.1]alkanes by chiral phosphoric acid-catalyzed desymmetrizing Michael cyclizations

2,2-Disubstituted cyclic 1,3-diketones containing a tethered electron-deficient alkene undergo chiral phosphoric acid-catalyzed desymmetrizing Michael cyclizations to give bridged bicyclic products in high enantioselectivities. Both bicyclo[3.2.1]octanes and bicyclo[3.3.1]nonanes are accessible using this methodology.