2<Emphasis Type="Italic">D</Emphasis> quasi-periodic Rauzy tiling as a section of 3<Emphasis Type="Italic">D</Emphasis> periodic tiling

A method for constructing a 2D quasi-periodic Rauzy tiling Til as a section of some 3D periodic tiling Til ^3D is considered. The translation lattice of the tiling Til ^3D and its connectivity graph are constructed using the discrete modeling of packings. The calculation of the layer-by-layer growth polyhedron for the tiling Til ^3D made it possible to estimate from upper the shape of a growth polygon for the tiling Til. As a result, the growth shape in six out of eight growth sectors has been rigorously proven. A set of quasi-periodic tilings (locally indistinguishable from the Rauzy tiling Til), including seven centrosymmetric tilings, has been obtained.     

Nanoclusters based on pentagondodecahedra with shells in the form of <Emphasis Type="Italic">D</Emphasis>32, <Emphasis Type="Italic">D</Emphasis>42, and <Emphasis Type="Italic">D</Emphasis>50 deltahedra in crystal structures of intermetallic compounds

The TOPOS software package has been used to form a database of intermetallic compounds containing pentagondodecahedral d clusters (528 crystal structures of intermetallic compounds, 111 topological types, and 47 space symmetry groups). On the whole, 606 atomic d configurations have been selected which are described by 14 point symmetry groups. Examples of nanoclusters are presented which are precursors of the crystal structures of intermetallic compounds with the outer shell in the form of deltahedra D, which are formed above dodecahedra. These nanoclusters are identified in the automatic mode of structural data processing: D32 (K₈In₆Ge₄₀, Cs₃₀Na₃Sn₁₆₂), D ₄₂ (Ru₃Be₁₇, Y₃Cd₁₈, Ca₃(Cd₁₇Al)), and D ₅₀ (Yb₃Zn₁₈, Ce₃(Au₁₄Sn₃), Pr₃Cd₁₈, Eu₄Cd₂₅), where 32, 42, and 50 are the numbers of atoms in the shell. Similar deltahedra were found previously in icosahedral nanoclusters (precursors of intermetallic compounds). Structures with the dodecahedral nanocluster precursors containing D42 and D50 deltahedra are approximants of MCd_5.7 (M = Yb or Ca) quasicrystals and belong to the family of MCd₆ (M = Ce, Pr, Nd, Sm, Eu, Gd, Dy, Yb, Y, or Ca).     

Structure of Triammonium <Emphasis Type="Italic">fac</Emphasis>-Trichloridotrioxidorhenate(VII) Chloride with <Emphasis Type="Italic">C</Emphasis><Subscript>3<Emphasis Type="Italic">v</Emphasis></Subscript> Crystallographic Symmetry of the Complex Anion

Abstract  

The unstable crystals of triammonium fac-trichloridotrioxidorhenate(VII) chloride have been obtained from ammonium rhenate(VII) solution in concentrated hydrochloric acid. The crystal structure consists of fac-trichloridotrioxidorhenate(VII) anions, chloride anions and ammonium cations. Each fac-trichloridotrioxidorhenate(VII) anion and each chloride anion lies in special position of 3m site symmetry (cell parameters: a = 9.026(3) Å; c = 7.690(4) Å; space group: P6₃ mc). The ammonium cation lies in special position of m site symmetry. The following anion geometrical parameters of the fac-trichloridotrioxidorhenate(VII) anion have been obtained: Re–O bond length of 1.720(2) Å, Re–Cl bond length of 2.5428(9) Å, the bond angles: O–Re–O of 103.5(1)° and Cl–Re–Cl of 79.8(1)°.     

Piezo-optic properties of TGS crystals doped with <Emphasis Type="Italic">D</Emphasis>-serine

The effect of uniaxial mechanical pressure along the main crystallophysical axes on the principal values of birefringence Δn _i in TGS crystals doped with 5% D-serine is investigated. It is ascertained that the values of Δn _i are rather sensitive to the action of uniaxial stresses. The temperature shift coefficients ?T _c /?σ_m are determined for the phase-transition points. The temperature and spectral dependences of the combined piezo-optic constants π _im ⁰ are calculated. The contribution of the secondary electro-optic effect to the changes in the birefringence and the piezo-optic constants of doped crystals is determined. It is found that the piezooptic constants π ₂₃ ⁰ and π ₁₂ ⁰ have the same values, which indicates a decrease in the anisotropy of the optical indicatrix of doped crystals under the action of uniaxial stress. The optical and deformation contributions to the relaxation effect of piezo-optical birefringence in doped TGS crystals are found.     

A New <Emphasis Type="Italic">N</Emphasis>,<Emphasis Type="Italic">N</Emphasis>-Dimethyl Purine from an Australian <Emphasis Type="Italic">Dictyoceratid Sponge</Emphasis>

Abstract  

N6-methyl mucronatine (C₈H₁₂N₅O) has been isolated from a dictyoceratid sponge collected in South East Queensland. The solid state structure of the new metabolite (I) was confirmed by X-ray crystallography, while an NMR study in d ₄-MeOH reveals the presence of a minor tautomer identified as (II).     

Lead (II) selenite halides Pb<Subscript>3</Subscript>(SeO<Subscript>3</Subscript>)<Subscript>2</Subscript><Emphasis Type="Italic">X</Emphasis><Subscript>2</Subscript> (<Emphasis Type="Italic">X</Emphasis> = Br,I): Synthesis and crystal structure

Two lead selenite halides, Pb₃(SeO₃)₂Br₂ and Pb₃(SeO₃)₂I₂, have been prepared by solid-phase synthesis and structurally characterized. These compounds are isotypic and can be considered 3D with a microporous framework composed of lead polyhedra (distorted Archimedean antiprisms formed by oxygen and halogen atoms). The framework contains channels oriented in the [010] direction. These channels contain selenium atoms, which are bound with framework oxygen atoms belonging to different lead polyhedra.     

Synthesis and investigation of the new phosphates K<Subscript>2</Subscript><Emphasis Type="Italic">Ln</Emphasis>Zr(PO<Subscript>4</Subscript>)<Subscript>3</Subscript> (<Emphasis Type="Italic">Ln</Emphasis> = Ce-Yb,Y) with langbeinite Structure

New orthophosphates of potassium, zirconium, and rare earth elements K₂LnZr(PO₄)₃ (Ln = Ce-Yb, Y) that crystallize in a langbeinite structure (cubic system, sp. gr. P2₁3, Z = 4) were prepared and investigated by X-ray diffraction and IR spectroscopy. The structure of the K₂PrZr(PO₄)₃ phosphate was refined by the Rietveld method using neutron powder diffraction data (DN-2 time-of-flight diffractometer, Joint Institute for Nuclear Research, Dubna). This structure is characterized by a mixed framework [PrZr(PO₄)₃] with large cavities in which potassium cations are located. Pr³⁺ and Zr⁴⁺ cations are distributed in order over two independent crystallographic positions. The limits of the incorporation of lanthanide cations into the anionic framework in phosphates with sodium-zirconium phosphate and langbeinite structures are considered.     

Synthesis,redox properties,and X-ray diffraction structure of 2,3-<Emphasis Type="Italic">bis</Emphasis>(ethylthio)-<Emphasis Type="Italic">N</Emphasis>-(<Emphasis Type="Italic">p</Emphasis>-MeOC<Subscript>6</Subscript>H<Subscript>4</Subscript>)maleimide

Refluxing 2,3-dichloromaleic anhydride with p-anisidine in benzene with water removal gives the condensation product 2,3-dichloro-N-(p-MeOC₆H₄)maleimide (1) 75% yield. This new maleimide compound reacts with added ethanethiol in the presence of Et₃N or DBU to furnish the bidentate sulfide ligand 2,3-bis(ethylthio)-N-(p-MeOC₆H₄)maleimide (2) in 85% yield. Each product has been characterized in solution by IR, NMR, and UV-vis spectroscopies, and the solid-state structure of 2,3-bis(ethylthio)-N-(p-MeOC₆H₄)maleimide was unequivocally established by single-crystal X-ray diffraction analysis. 2,3-bis(Ethylthio)-N-(p-MeOC₆H₄)maleimide crystallizes in the monoclinic space group C2/c, a = 20.035(3)Å, b = 9.188(1)Å, c = 16.887(2)Å, = 93.696(2)°, V = 3102.3(8)ų, Z = 8, and D_calcd = 1.385 mg/m³; R = 0.0268, R_w = 0.0676 for 2025 reflections with I > 2 (I). The nature of the LUMO in 2,3-bis(ethylthio)-N-(p-MeOC₆H₄)maleimide (2) has been determined by extended Hückel molecular orbital calculations, and these data are discussed relative to the cyclic voltammetry results and other structurally relevant compounds prepared in our labs.     

Distribution of component molecules in <Emphasis Type="Italic">p</Emphasis>-dibromobenzene-<Emphasis Type="Italic">p</Emphasis>-dichlorobenzene solid solutions from raman effect data

Distribution of component molecules in the bulk of single crystals of p-dibromobenzene-p-dichlorobenzene solid solutions grown by the Bridgman method studied by Raman effect.     

Synthesis and structure of fullerene halides C<Subscript>70</Subscript><Emphasis Type="Italic">X</Emphasis><Subscript>10</Subscript> (<Emphasis Type="Italic">X</Emphasis> = Br,Cl) and C<Subscript>78</Subscript>Cl<Subscript>18</Subscript>

The crystal and molecular structures of the fullerene halides C₇₀Br₁₀ · 3C₆H₂Cl₄, C₇₀Cl_8.4Br_1.6, and C₇₈Cl₁₈ have been determined and refined using single-crystal X-ray diffraction with synchrotron radiation. In the molecular structure of C₇₀ X ₁₀ (X = Br, Cl), ten X halogen atoms are located in the equatorial region of the molecule and form one 1,2 and nine 1,4 contacts in C₆ X ₂ hexagons. The structure of the higher fullerene chloride C₇₈Cl₁₈ contains two isomers with symmetry C _2v , which results in the hexagonal symmetry of the crystal due to disordering.     

Stabilization of lattice period in quinary solid solutions of the <Emphasis Type="Italic">A</Emphasis><Superscript>3</Superscript><Emphasis Type="Italic">B</Emphasis><Superscript>5</Superscript> compounds

The stabilizing effect of elastic strains on the lattice period of a quinary solid solution is considered. The expression for the stabilization factor for quinary solid solutions of the A_xB_1?xC_yD_zE_1?y?z type is derived. It is shown that the stabilizing influence of the substrate sharply increases in the vicinity of the region of the chemical spinodal. The stabilization factors are calculated for the Ga_xIn_1?xP_yAs_zSb_1?y?z and A1_xGa_yIn_1?x?yP_zAs_1?z quinary solid solutions isoperiodic to InAs, GaSb, and GaAs. It is shown that in the region of thermodynamic instability the stabilization factor has negative values. The changes in the composition of the above elastically strained quinary solid solutions are analyzed with respect to the equilibrium composition. It is also shown that stabilization of the lattice period does not signify the stabilization of its composition.     

Internal deformations in substitutional quaternary solid solution <Emphasis Type="Italic">A</Emphasis><Superscript>3</Superscript><Emphasis Type="Italic">B</Emphasis><Superscript>5</Superscript>

A model that describes the bond-length distributions in quaternary A³B⁵ solid solutions and allows one to consider large clusters using a minimum of computational resources is suggested. The analytical expression for the radial-distribution function is obtained. The results of the modeling describe the known experimental data well. For a number of solid solutions, the deformation energy is evaluated in the approximation of the valent force field. It is shown that the main contribution to the energy comes from the bond-length dispersion.     

Synthesis and structure of oxovanadium(IV) complexes [VO(<Emphasis Type="Italic">Acac</Emphasis>)<Subscript>2</Subscript>] and [VO(<Emphasis Type="Italic">Sal</Emphasis>: <Emphasis Type="Italic">L</Emphasis>-alanine)(H<Subscript>2</Subscript>O)]

Bis(acetylacetonato)oxovanadium C₁₀H₁₄O₅V (I) and (S)-[2-(N-salicylidene)aminopropionate]oxovanadium monohydrate C₁₀H₉NO₅V (II) are synthesized. The crystal structures of compounds I and II are determined using single-crystal X-ray diffraction. Crystals of compound I are triclinic, a = 7.4997(19) Å, b = 8.2015(15) Å, c = 11.339(3) Å, α = 91.37(2)°, β = 110.36(2)°, γ = 113.33(2)°, Z = 2, and space group \(P\bar 1\). Crystals of compound II are monoclinic, a = 8.5106(16) Å, b = 7.373(2) Å, c = 9.1941(16) Å, β = 101.88(1)°, Z = 2, and space group P2₁. The structures of compounds I and II are solved by direct methods and refined to R₁ = 0.0382 and 0.0386, respectively. The oxovanadium complexes synthesized are investigated by vibrational spectroscopy.     

Crystal Structure of Two <Emphasis Type="Italic">V</Emphasis>-shaped Ligands with <Emphasis Type="Italic">N</Emphasis>-Heterocycles

Two V-shaped ligands with N-heterocycles, bis(4-(1H-imidazol-1-yl) phenyl)methanone (1), and bis(4-(1H-benzo[d]imidazol-1-yl)phenyl)methanone (2) have been synthesized and characterized by elemental analyses, IR and 1H NMR spectroscopy. Crystal structures of 1 and 2 have been determined by X-ray diffraction. The crystal of 1 is monoclinic, sp. gr. P2₁/c, Z = 4. The crystal of 2 is orthorhombic, sp. gr. Fdd2, Z = 8. X-ray diffraction analyses show that the V-shaped angles of 1 and 2 are 122.72(15)° and 120.7(4)°, respectively. Intermolecular C–H···O, C–H···N, C–H···π, and π···π interactions link the components into three-dimensional networks in the crystal structures.     

Nanocrystalline <Emphasis Type="Italic">sp</Emphasis> <Superscript>2</Superscript> and <Emphasis Type="Italic">sp</Emphasis> <Superscript>3</Superscript> carbons: CVD synthesis and applications

The design and production of innovative materials based on nanocrystalline sp²- and sp³-coordinated carbons is presently a focus of the scientific community. We present a review of the nanostructures obtained in our labs using a series of synthetic routes, which make use of chemical vapor deposition (CVD) techniques for the selective production of non-planar graphitic nanostructures, nanocrystalline diamonds, and hybrid two-phase nanostructures.     

Structure of 6,13-bis(<Emphasis Type="Italic">N</Emphasis>, <Emphasis Type="Italic">N</Emphasis>-dimethylcarbamoyl) thioquinanthrene

The crystal structure of 6,13-bis-(N,N-dimethylcarbamoyl)thioquinanthrene 3 has been determined as monoclinic, with space group P2(1)/c with lattice parameters a = 10.044(2) Å, b = 21.385(4) Å, c = 10.889(3) Å, = 102.92(3)°, Z = 4 and D_calc = 1.342 Mg/m³. The middle 1,4-dithiin ring in the title compound 3, C₂₄H₂₀N₄O₂S₂ is in a boat conformation with the dihedral angle between the planes of the aromatic rings 132.45(8)°.     

Electron diffraction study of 1<Emphasis Type="Italic">M</Emphasis> illites with interstratified <Emphasis Type="Italic">trans</Emphasis>- and <Emphasis Type="Italic">cis</Emphasis>-vacant 2 : 1 layers

Illites from the volcanogenic Zn-Au-Ag sulfide deposit Galkinskoe (Northern Urals) have been investigated using oblique-texture electron diffraction patterns in combination with the simulation of diffraction effects. Along with single-phase tv/cv1M illites, the structures of which are formed by statistically interstratified dioctahedral 2: 1 layers with vacant trans- or cis-octahedra, illites in the form of a mixture of two interstratified tv/cv1M phases, with the dominance of tv- or cv layers, are identified. It is shown that in the latter case the diffraction pattern can also be interpreted within the single-phase tv/cv model, provided that the tv- and cv layers are distributed with some tendency to segregate. The structural features indicating the preference of the two-phase model are analyzed.     

Crystal Structure of [Zn(2-Bromobenzoato)<Subscript>2</Subscript>]<Subscript><Emphasis Type="Italic">n</Emphasis></Subscript> and [Zn(2-Bromobenzoato)<Subscript>2</Subscript>(<Emphasis Type="Italic">N</Emphasis>-Methylnicotinamide)]<Subscript>2</Subscript>

Abstract  

The syntheses and structural characterizations of two novel 2-bromobenzoatozinc(II) complexes—[Zn(2-BrC₆H₄COO)₂] _n (I) and [Zn(2-BrC₆H₄COO)₂(mnad)]₂ (II), where mnad is N-methylnicotinamide are reported. Compound (I) crystallized with a monoclinic lattice (space group P2₁/c) and is polymeric in solid state. Its cell parameters are: a = 7.37220(10) Å, b = 19.9639(3) Å, c = 30.2756(5) Å, β = 94.7510(7)°, V = 4440.59(12) ų, Z = 4. The coordination environments of all zinc atoms are distorted tetrahedra built from four carboxylate oxygen atoms coming from four 2-bromobenzoato ligands. Compound (II) crystallized with a monoclinic lattice (space group P2₁/c) with a = 11.7488(2) Å, b = 20.3683(3) Å, c = 9.30130(10) Å, β = 100.3941(11)°, V = 2189.30(5) ų, Z = 2. This dimeric molecule features a paddle-wheel [Zn₂O₈] cage in solid state; the coordination environment of the central atom is square pyramidal consisting of four carboxylate oxygen atoms and the pyridine N atom of the mnad ligand.     

Synthesis and crystal chemical characteristics of the structure of <Emphasis Type="Italic">M</Emphasis><Subscript>0.5</Subscript>Zr<Subscript>2</Subscript>(PO<Subscript>4</Subscript>)<Subscript>3</Subscript> phosphates

Double phosphates of zirconium and metals with an oxidation degree of +2 of the composition M_0.5Zr₂(PO₄)₃ (M = Mg, Ca, Mn, Co, Ni, Cu, Zn, Sr, Cd, and Ba) are synthesized and characterized by X-ray diffraction methods and IR spectroscopy. The crystal structures of all the compounds are based on three-dimensional frameworks of corner-sharing PO₄-tetrahedra and ZrO₆-octahedra. Phosphates with large Cd²⁺, Ca²⁺, Sr²⁺, and Ba²⁺ cations octahedrally coordinated with oxygen atoms form rhombohedral structures (space group R3), whereas phosphates with small tetrahedrally coordinated Mg²⁺, Ni²⁺, Cu²⁺, Co²⁺, Zn ²⁺, and Mn²⁺-cations are monoclinic (space group P2₁/n). The effect of various structure-forming factors on the M_0.5Zr₂(PO₄)₃ compounds with a common structural motif but different symmetries are discussed.     

Phase equilibria of <Emphasis Type="Italic">A</Emphasis><Superscript>3</Superscript><Emphasis Type="Italic">B</Emphasis><Superscript>5</Superscript> quinary systems with an elastically strained solid phase

The contribution of the elastic component of the excess energy of mixing is determined for A³B⁵ quinary solid solutions. A relationship is derived for the activities of the components in an elastically strained solid phase of the quinary solid solutions. The correctness of the possible assumptions used in the calculation of the activity coefficients of the solid phase of a quinary solution is analyzed. The contact supercooling in the vicinity of the binary substrate isoperiods is calculated for a number of A³B⁵ quinary systems. It is shown that the negative contact supercoolings correspond to the thermodynamic instability boundaries of the quinary solid solutions.