N 1,N 4-Bis(2-thienylmethyl­ene)cyclo­hexane-1,4-diamine

The title compound, C16H18N2S2, lies about an inversion center with only half of the mol­ecule in the asymmetric unit. The cyclo­hexane ring adopts a chair conformation, and the terminal thio­phene rings are in a transoid orientation, with an S⋯S separation between the two terminal 2-thio­phene rings of 11.6733 (9) Å

N,N′-Bis[(E)-4-nitro­benzyl­idene]-4,4′-oxydianiline

The title compound, C26H18N4O5, can be regarded as an extended ether with two terminal nitro groups. The two aryl rings bonded to the central O atom form a dihedral angle of 75.72 (6)°, and the terminal nitro groups are slightly twisted [by 6.4 (2) and 3.3 (3)°] from the benzene rings to which they are attached. The crystal packing exhibits weak inter­molecular C—H⋯O hydrogen bonds and π–π inter­actions [centroid–centroid distances = 3.794 (3) Å]

Bis[μ-4-(1H-imidazol-3-ium-1-yl)benzoato-κ2 O:O′]bis­[(methanol)tris­(nitrato-κ2 O,O′)terbium(III)]

In the centrosymmetric dinuclear title complex, [Tb2(NO3)6(C10H8N2O2)2(CH3OH)2], the Tb atoms are bridged by the carboxyl­ate groups of the two 4-(1H-imidazol-3-ium-1-yl)benzoate (iba) ligands. The iba ligand adopts a zwitterionic form with a protonated imidazole group. The Tb atom adopts a distorted tricapped trigonal–prismatic coordination geometry and is coordinated by six O atoms of three chelating nitrate ions, one O atom of the methanol mol­ecule and two O atoms of two iba ligands. The intra­molecular Tb⋯Tb separation is 5.1419 (3) Å. O—H⋯O and N—H⋯O hydrogen bonds connect complex mol­ecules into a two-dimensional network

(E)-2-{4-[(Pyridin-2-yl)methyl­idene­amino]­phen­yl}acetic acid

The title mol­ecule, C14H12N2O2, forms a dimeric unit linked by a pair of symmetry-equivalent O—H⋯N hydrogen bonds. The aromatic rings are significantly twisted from each other with a dihedral angle of 44.04 (4)°

Stochastic Volterra equations with singular kernels

Existence, uniqueness and continuity properties of solutions of stochastic Volterra equations with singular integral kernels (driven by Brownian motion) are proven. © 1995

[μ3-2,2,4,4,6,6-Hexakis(3,5-dimethyl­pyrazol-1-yl)-2λ5,4λ5,6λ5-1,3,5,2,4,6-triaza­triphosphinine]tris­[cis-dichloridopalladium(II)]

The title complex, [Pd3Cl6(C30H42N15P3)], possesses C 3 mol­ecular symmetry. The P and N atoms of the cyclo­triphosphazene and the Pd atom are located on the crystallographic mirror plane. Each of the three symmetry-related Pd atoms is coordinated by two chloride ligands and two exocyclic pyrazolyl N atoms, but not by the cyclo­triphosphazene N atoms

(E)-4-{[(Pyridin-4-yl­methyl­idene)amino]­meth­yl}benzoic acid

The title mol­ecule, C14H12N2O2, exhibits a V-shaped conformation with a dihedral angle of 59.69 (3)° between the benzene and pyridine rings. In the crystal, O—H⋯N hydrogen bonds link the mol­ecules into zigzag chains along [010]

Electronic structures of hexagonal RMnO3 (R = Gd, Tb, Dy, and Ho) thin films

We investigated the electronic structure of multiferroic hexagonal RMnO3 (R = Gd, Tb, Dy, and Ho) thin films using both optical spectroscopy and first-principles calculations. Using artificially stabilized hexagonal RMnO3, we extended the optical spectroscopic studies on the hexagonal multiferroic manganite system. We observed two optical transitions located near 1.7 eV and 2.3 eV, in addition to the predominant absorption above 5 eV. With the help of first-principles calculations, we attribute the low-lying optical absorption peaks to inter-site transitions from the oxygen states hybridized strongly with different Mn orbital symmetries to the Mn 3d3z2-r2 state. As the ionic radius of the rare earth ion increased, the lowest peak showed a systematic increase in its peak position. We explained this systematic change in terms of a flattening of the MnO5 triangular bipyramid

Вікові особливості залучення населення до оздоровчо-рекреаційної рухової активності в умовах міського парку

Рівень залучення населення до оздоровчо- рекреаційної діяльності у міському парку залежить від зовнішніх та внутрішніх чинників. До зовнішніх чинників належать умови життя, матеріальне забезпечення, спосіб життя, режим рухової активності та мікросередовища. До внутрішніх – мотиви, інтереси, рівень потреб, тип темпераменту, емоційний стан, бажання, переконання, стан здоров’я та спрямованість особистості

CP1CP^{1} model with Hopf term and fractional spin statistics

We reconsider the $CP^{1}$ model with the Hopf term by using the Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of the Dirac quantization method. We also perform a semi-classical quantization of the topological charge Q sector by exploiting the collective coordinates to explicitly show the fractional spin statistics.Comment: 15 page