Hexagonal resonance of (3,6)-fullerenes

A (3,6)-fullerene G is a plane cubic graph whose faces are only triangles and hexagons. It follows from Euler’s formula that the number of triangles is four. A face of G is called resonant if its boundary is an alternating cycle with respect to some perfect matching of G. In this paper, we show that every hexagon of a (3,6)-fullerene G with connectivity 3 is resonant except for one graph, and there exist a pair of disjoint hexagons in G that are not mutually resonant except for two trivial graphs without disjoint hexagons. For any (3,6)-fullerene with connectivity 2, we show that it is composed of n(n ≥ 1) concentric layers of hexagons, capped on each end by a cap formed by two adjacent triangles, and none of its hexagons is resonant.     

On bicriticality of (3,6)-fullerene graphs

A (3,6)-fullerene is a plane cubic graph whose faces are only triangles and hexagons. A connected graph G with at least \(2n+2\) vertices is said to be n-extendable if it has n independent edges and every set of n independent edges extends to a perfect matching of G. A graph G is said to be bicritical if for every pair of distinct vertices u and v, \(G-u-v\) has a perfect matching. It is known that every (3,6)-fullerene is 1-extendable, but not 2-extendable. In this short paper, we show that a (3,6)-fullerene G is bicritical if and only if G has the connectivity 3 and is not isomorphic to one graph (2,4,2). As a surprising consequence we have that a (3,6)-fullerene is bicritical if and only if each hexagonal face is resonant.     

Unerwartete Resultate bei der N-Methyl- und O-Methyl-Bestimmung in 1,2-Dimethyl-pyraz-dion (3,6) und in l-Phenyl-2-methyl-pyraz-dion (3,6)

Zusammenfassung Es wurden bei O-Methyl- und N-Methylbestimmungen für zwei Verbindungen abnormale Werte erhalten. Bei den analysierten Substanzen handelt es sich um N-Methylverbindungen, die sich unter denZeisel- Reaktionsbedingungen ganz oder teilweise zu O-Methylverbindungen umlagern und dann täuschende oder falsche Werte ergeben.

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Summary In certain O- and N-methyl determinations abnormal values have been obtained. The two investigated N-methyl compounds were shown to rearrange totally or partially into O-Methyl compounds under the conditions of theZeisel determination, thus giving misleading and unreliable results.

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Résumé On a constaté une anomalie dans le dosage de groupes O-et N-méthyliques. Il s'agit de deux composés N-méthylés qui dans les conditions de la méthode deZeisel se transposent partiellement ou totalement et donnent ainsi des résultats analytiques trompeurs ou faux.

     

3,6-Bis(dimethylamino)-10-propylacridinium iodide

In the title compound, C₂₀H₂₆N₃⁺·I⁻, the acridinium moiety shows mirror symmetry about the central C—N vector. The fused tricyclic system is only approximately planar and the geometry is affected by the presence of both di­methyl­amino groups and the propyl substitution at the central N atom. The propyl chain adopts an extended trans conformation and the plane through the chain C atoms is perpendicular to the mean plane through the rings. The I⁻ ion is involved in short-range hydrogen-bonding interactions with two centrosymmetrically related cations via three activated acridinium C atoms. Stacks of acridinium cations propagate through the crystal along the c direction. The ring overlap is partial, but the di­methyl­amino groups also participate in the stacking.     

Synthesis of titanium(iv) 3,6-di-tert-butylcatecholate complexes

Russian Chemical Bulletin - Two synthetic approaches were used for the synthesis of 3,6-di-tert-butylcatecholate derivatives of titanium(iv). These approaches are based on the exchange reaction...     

Oxidations of 3,6-diamino-1,2,4,5-tetrazine and 3,6-bis(s,s-dimethylsulfilimino)-1,2,4,5-tetrazine

Oxidation of 3,6-diamino-1,2,4,5-tetrazine ( 1 ) with most peracids gave 3,6-diamino-1,2,4,5-tetrazine 1,4-dioxide ( 3 ) as the major product; however, treatment of 1 with peroxytrifluoroacetic acid (PTFA) gave 3,6-diamino-1,2,4,5-tetrazine 1-oxide ( 4 ) as the major product along with a small amount of 3-amino-6-nitro-1,2,4,5-tetrazine 2,4-dioxide ( 5 ). Oxidation of 3,6-bis(S,S-dimethylsulfilimino)-1,2,4,5-tetrazine ( 6 ) with 3-chloroperoxybenzoic acid (MCPBA) gave 3-S,S-(dimethylsulfilimino)-6-nitroso-1,2,4,5-tetrazine ( 7 ), which was oxidized further with dimethyldioxirane to 3-(S,S-dimethylsulfoximino)-6-nitro-1,2,4,5-tetrazine ( 8 ). All attempts to obtain 3,6-dinitro-1,2,4,5-tetrazine ( 2 ) by further oxidation of 7 or 8 failed.     

Base hydrolysis ofcis-dichlorobis(1,2-diaminoethane),cis-α-dichloro(1,8-diamino-3,6-diazaoctane) andcis-α-chlorohydroxo-(1,8-diamino-3,6-diazaoctane) ruthenium(III) complexes

The kinetics of base hydrolysis ofcis-[RuCl₂(en)₂]⁺ (en=1,2-diaminoethane),cis-α-[RuCl₂(trien)]⁺ andcis-α-[RuCl(OH)(trien)]²⁺ (trien=1,8-diamino-3,6-diazaoctane) have been studied. All the reactions are fast and obey the second-order rate law,-d[complex]/dt=k[OH⁻][complex], with complete retention of configuration. A conjugate base mechanism involving a squarepyramidal intermediate is suggested. The Arrhenius parameters and rate constants found are respectively: ΔH^≠ 14.2±0.5, 7.2±0.1, 10.9±0.1 M cal mol⁻¹; ΔS^≠ 1.3, 29, 22 cal deg⁻¹ mol; log A 13.5, 6.9, 8.6 k_OH 533 (27.2°C) 14.5 (24.4° C) 1.65 (25°C) M⁻¹s⁻¹.     

N-正丁基-3,6-二(1,3-丁二酮基)咔唑的合成

合成了一种新的双β-二酮化合物--N-正丁基-3,6-(1,3-丁二酮基)咔唑(2),其结构经1H NMR,MS,IR和元素分析表征.并研究了2的电子吸收光谱.     

Bis(1,4-di-tert-butyl-1,4-diazabutadiene)copper(i) [(3,6-di-tert-butyl-o-benzosemiquinono)(3,6-di-tert-butyl-catecholato)cuprate(ii)]. The molecular structure and intramolecular electron transfer

Bis(1,4-di-tert-butyl-1,4-diazabutadiene)copper(i) [(3,6-di-tert-butyl-o-benzosemiquinono)(3,6-di-tert-butylcatecholato)cuprate(ii)] (1) was synthesized. Complex 1 contains the 1,4-di-tert-butyl-1,4-diazabutadiene and 3,6-di-tert-butyl-o-benzoquinone ligands in the reduced form. The structure of 1 was established by X-ray diffraction analysis. The ESR spectra indicate that dissolution of complex 1 in organic solvents (toluene, THF, CH₂Cl₂, etc.) leads to its symmetrization to give neutral complex 2, which occurs in solutions as an equilibrium mixture of two redox isomers, viz., catecholate (Cat) complex 2c and semiquinone (SQ) complex 2s. In the coordination sphere of the copper atom, the reversible intramolecular metal—ligand electron transfer can proceed as successive steps as exemplified by the reactions of 2 with CO and 2,6-dimethylphenylisonitrile. Copper(i) o-semiquinone complex 2s can be reversibly transformed into copper(ii) catecholate complex 2c through electron transfer from the copper(i) atom to the SQ ligand. The subsequent addition of the neutral ligand (CO or CNAr) to 2c induces, in turn, electron transfer from the Cat ligand to the copper(ii) atom accompanied by the transformation of the catecholate complex into the o-semiquinone complex. In the case of CO, this transformation is also reversible and is efficiently controlled by the temperature.