Crystal and molecular structure of 2-(1-[alkyl,aryl)-2-acylhydrazino]-4,6-diaryloxy-1,3,5-triazine,C20H19Br2N5O3

The crystal and molecular structure of the title compound has been determined by X-ray diffraction techniques. It crystallizes in the monoclinic space group P 2₁/c with cell parameters a = 8.760 Å, b = 26.863 Å, c = 9.678 Å, and β = 106.03°. The structure was solved by the heavy atom method and refined by least-squares calculations to the conventional R value of 0.075.     

Crystal and molecular structure of 1,21-diacetoxy-11β,17-dihydroxy-4-methyl-19-norpregna-1,3,5(10),8(14)-tetraen-20-one,C25H30O7

The structure of the title compound has been determined by X-ray diffraction techniques. It crystallizes in the monoclinic space group P 2₁ with 2 formula units C₂₅H₃₀O₇ in the unit cell. The lattice constants are a = 10.194, b = 11.790, c = 9.515 Å, and β = 100.69°. The structure was solved by direct methods using MULTAN-78 and refined by least-squares calculations to R = 0.061. The molecular configuration and conformation are discussed. The influence of the acetoxy groups and the 11-hydroxyl group on the steroid backbone is of special interest. There are two symmetry independent intermolecular but no intramolecular hydrogen bridges.     

Visible light activated BINOL-derived chiroptical switches based on boron integrated hydrazone complexes

Chiral optical switches, which use light to control chirality in a reversible manner, offer unique properties and fascinating prospects in the areas of molecular switching and responsive systems, new photochromic materials and molecular data processing and storage. Herein, we report visible light responsive chiroptical switches based on tetrahedral boron coordination towards an easily accessible hydrazone ligand and optically pure BINOL. Upon instalment of a non-planar dibenzo[a,d]-cycloheptene moiety in the hydrazone ligand''s lower half, the enantiopure boron complex shows major chiroptical changes in the CD read-out after visible light irradiation. The thermal isomerization barrier in these chiroptical switching systems showed to be easily adjustable by the introduction of substituents onto the olefinic bond of the cycloheptene ring, giving profound control over their thermal stability. The control over their thermal stability in combination with excellent reversibility, photochemical properties and overall robustness of the complexes makes these BINOL-derived chiroptical switches attractive candidates for usage in advanced applications, e.g. photonic materials and nanotechnology.

Chiroptical switches, which use light to control chirality in a reversible manner, offer unique properties and fascinating prospects in the areas of molecular responsive systems, new photochromic materials and molecular data processing and storage.     

From nonassociativity to solutions of the KP hierarchy

A recently observed relation between ‘weakly nonassociative’ algebras $\mathbb{A}$ (for which the associator ( $\mathbb{A},\mathbb{A}^2 ,\mathbb{A}$ ) vanishes) and the KP hierarchy (with dependent variable in the middle nucleus $\mathbb{A}$ ′ of { $\mathbb{A}$ ) is recalled. For any such algebra there is a nonassociative hierarchy of ODEs, the solutions of which determine solutions of the KP hierarchy. In a special case, and with matrix algebra $\mathbb{A}$ ′, this becomes a matrix Riccati hierarchy which is easily solved. The matrix solution then leads to solutions of the scalar KP hierarchy. We discuss some classes of solutions obtained in this way.     

Crystal and molecular structure of (E)-21-Methoxycarbonyl-19-nor-pregna-4,8(14),20-trien-3-one

The crystal and molecular structure of the title compound has been determined by X-ray diffraction techniques. It crystallizes in the orthorhombic space group P 2₁2₁2₁ with cell parameters a = 12.662 Å, b = 17.995 Å, c = 8.433 Å. The structure was solved by direct methods using MULTAN-78 and refined by least-squares calculations to the conventional R = 0.061. The ring conformations of the steroid skeleton and the 17β-side chain conformation are discussed in detail.     

Friedmann cosmology with torsion

For the cosmological field equations of the Poincaré gauge theory a universal appearance of the Friedmann equations of general relativity is shown. Some exact solutions with torsion are presented.     

Polydentate coordination of the thallium atom in complexes with chiral amidinylcyclopentadienyl ligands

The chiral thallium amidinium cyclopentadiene-N-ylide complexes [C₅(CO₂Me)₄{ArNC(Ar")NAr}]Tl were synthesized and structurally characterized by X-ray diffraction analysis and NMR spectroscopy. In these complexes, an unusual mode of coordination of the thallium atom was found, viz., the thallium atom is coordinated by both the side-chain nitrogen atom (N—Tl, 2.833(6) ) and the system of the cyclopentadienyl ring (Tl—Cp, 2.887(4) ⁵-bonding).     

Crystal Structures of β-Cyclodextrin Complexes with Formic Acid and Acetic Acid

β-Cyclodextrin (β–CD)-formic acid (1) andβ-CD–acetic acid (2) inclusion complexes crystallizeas β-CD...0.3HCOOH...7.7H₂O andβ-CD...0.4CH₃COOH...7.7H₂O in themonoclinic space group P2₁ with comparable unit cell constants.Anisotropic refinement of atomic parameters against X-ray diffractiondata with F_o ² > 2σ (F_o ²) (986/8563 and 991/8358)converged at R-factors of 0.051 and 0.054 for 1 and 2,respectively. In both complexes, the β-CD molecularconformation, hydration pattern and crystal packing are similar,but the inclusion geometries of the guest molecules are different.The β-CD macrocycles adopt a ``round'' conformationstabilized by intramolecular, interglucose O3(n)...O2(n + 1)hydrogen bonds and their O6–H groups are systematically hydratedby water molecules. In the asymmetric unit, each complex contains oneβ-CD, 0.3 formic acid (or 0.4 acetic acid), and 7.7 water moleculesthat are distributed over 9 positions. Water sites located in theβ-CD cavity hydrogen bond to the guest molecule. In thecrystal lattice, β-CD molecules are packed in a typical ``herringbone'' fashion. In 1, the formic acid (occupancy 0.3) is entirely included in the β-CD cavity such that its C atom is shifted from the O4-plane center to the β-CD O6-side by 2.90 Å and C=O, C–-O bonds point to this side. In 2, the acetic acid (occupancy 0.4) is completely embedded in the β-CD cavity, in which the carboxylic C atom is displaced from the O4-plane centerto the β-CD O6-side by 0.87 Å; the C=O bond directsto the β-CD O6-side and makes an angle of 15°to the β-CD molecular axis. Furthermore, bothdimethyl-β-CD-acetic acid and β-CD-acetic acidcomplexes form a cage structure, showing that the small guestsenclosed entirely in the cavity either in β-CD or indimethyl-β-CD do not affect the packing of the host macrocycles.     

Phase transitions in 1,3,4-oxadiazole crystals under high pressure

Crystalline 2,5-di(4-nitrophenyl)-1,3,4-oxadiazole (DNO) has been investigated at pressures up to 5 GPa using Raman and optical spectroscopy as well as energy dispersive X-ray techniques. At ambient pressure DNO shows an orthorhombic unit cell (a=0.5448 nm, b=1.2758 nm, c=1.9720 nm, density 1.513 g cm⁻³) with an appropriate space group Pbcn. From Raman spectroscopic investigations three phase transitions have been detected at 0.88, 1.28, and 2.2 GPa, respectively. These transitions have also been confirmed by absorption spectroscopy and X-ray measurements. Molecular modeling simulations have considerably contributed to the interpretation of the X-ray diffractograms. In general, the nearly flat structure of the oxadiazole molecule is preserved during the transitions. All subsequent structures are characterized by a stack-like arrangement of the DNO molecules. Only the mutual position of these molecular stacks changes due to the transformations so that this process may be described as a topotactical reaction. Phases II and III show a monoclinic symmetry with space group P2₁/c with cell parameters a=1.990 nm, b=0.500 nm, c=1.240 nm, β=91.7°, density 1.681 g cm⁻³ (phase II, determined at 1.1 GPa) and a=1.890 nm, b=0.510 nm, c=1.242 nm, β=89.0°, density 1.733 g cm⁻³ (phase III, determined at 2.0 GPa), respectively. The high-pressure phase IV stable at least up to 5 GPa shows again an orthorhombic structure with space group Pccn with corresponding cell parameters at 2.9 GPa: a=0.465 nm, b=1.920 nm, c=1.230 nm and density 1.857 g cm⁻³. For the first phase a blue pressure shift of the onset of absorption by about 0.032 eV GPa⁻¹ has been observed that may be explained by pressure influences on the electronic conjugation of the molecule. In the intermediate and high-pressure phases II–IV the onset of absorption shifts to increased wavelengths due to larger intermolecular interactions and enhanced excitation delocalization with decreasing intermolecular spacing.