On the use of NDO approximate wavefunctions in the evaluation of momentum density and radial momentum density distributions in polyatomic molecules

The use of single determinantal approximate molecular wavefunctions of the LCAO MO NDO type for the calculation of the momentum densityρ(p) and the radial momentum density distributionJ(p) is discussed. In each case, these expressions should be orientationally invariant and the momentum density should be normalized. Combining these two requirements, it is shown that only two approximations are physically significant:

1. NDO wavefunctions are used andρ(p) andI(p) are approximated respectively up to an INDO and a CNDO level;
2. Overlap integrals are explicitly taken into account when solving the Roothaan SCF equations or deorthogonalized NDO functions are employed, together with the unapproximated expressions.

     

Synthesis and evaluation of novel 1,3-bridged calix[4]arene-crown ethers for selective interaction with Na+/K+ cations

Calix[4]arenes possessing electron-donating groups (OH and OR) at the lower rim when reacted with tosylated polyethers under basic conditions give the corresponding 1,3-disubstituted calix[4]arene-crown ethers 2a–2h, in good yields. The binding properties of the synthesized 1,3-bridged calix[4]arene-crown ethers for alkali metal cations have been investigated by atomic emission spectrometric analysis. It has been observed that recognition of sodium and potassium varies with the size of the polyether chain as well as the substituents on the free phenolics of the calix[4]arene-crown ether. The potassium/sodium selectivity seems to be governed primarily by the size of the crown ring, relative hydrophobicity and cation-π interaction capability to give efficiency order as 2a, 2d?>?2?h?>?2c, 2e?>?2b, 2f?>?2?g.     

Brief review related to the foundations of time-dependent density functional theory

The electron density n(r,t), which is the central tool of time-dependent density functional theory, is presently considered to be derivable from a one-body time-dependent potential V(r,t), via one-electron wave functions satisfying a time-dependent Schrödinger equation. This is here related via a generalized equation of motion to a Dirac density matrix now involving t. Linear response theory is then surveyed, with a special emphasis on the question of causality with respect to the density dependence of the potential. Extraction of V(r,t) for solvable models is also proposed.     

On non-Euclidean crystallography, some football manifolds

In polyhedral crystallography, non-Euclidean possibilities come into considerations as well. The so-called football manifolds appearing in the Bolyai?CLobachevskian hyperbolic space (H ³) can model ??fullerens?? very probably. This may give us the feeling that??in atomic measure??space can wear non-Euclidean structures, e.g., hyperbolic (H ³), spherical (S ³) and other ones, respectively. Such phenomena as pentagonal or decagonal symmetry and the discovery of quasicrystals might strengthen these impressions. We examine here some Archimedean solids: (4, 6, 6) in E ³ (the truncated octahedron in the classical Euclidean space, for analogue as motivation, Fig.?1); (5, 6, 6) the ??real football?? (now in H ³, Fig.?2, from Molnár in Proceedings of International Conference on Differential Geometry and Its Applications, 1988), (3, 10, 10) in H ³ (Fig.?3 from Molnár in the previous Proceedings); an extra solid (4, 6, 8) with two manifolds on it in H ³ (Figs.?4, 5), published first time in this paper. Furthermore (3, 8, 8) will be realized in the spherical space S ³ (Fig.?6). We can study this classical example as a simple non-Euclidean one also for motivation to our method (see also Molnár in Acta Cryst A61:542?C552, 2005, as an introductory paper). Each of them will be a manifold, i.e., it can be endowed with an appropriate face pairing (topological glueing), so that every point has a ball-like neighborhood in the corresponding space, especially of constant curvature, but completely in the classical analogy. In addition, each manifold will be compact (bounded and closed) whose fundamental group can be generated by two screw motions.     

Über die Synthese von 1,3-Dihydro-3-(2-dimethylaminoäthyl)-1-(3-thienyl)-benzimidazol-2-onen

The synthesis of 1-(3-thienyl)-benzimidazol-2-ones (3 a and4), described in an earlier paper¹, has been further investigated. The Na-salt of3 a is converted to a benzimidazolone substituted in position 3 (3 b). Dehydrogenation of the thiophene nucleus of3 a with chloranil yields5 a, which undergoes substitution in position 3 with Cl(CH₂)₂N(CH₃)₂ to give5 b. Monochlorination of5 a yields5 c, the structure of which is confirmed by¹H-NMR-spectroscopy.5 d is obtained by reaction of the Na-salt of5 c with Cl(CH₂)₂N(CH₃)₂.      

F− Preference of Polyamide Cryptand to Cl−

The variations in geometry structure, IR spectra, as well as the molecular orbitals upon anion recognition for polyamide cryptand are explored with the hybrid density functional theory. The cavity generated by six amide NH groups shrinks upon F ^? recognition because of the strong hydrogen bonds between the amide protons and F ^? , while the cavity expands upon Cl ^? binding because of the strong electron repulsion between the p electron of Cl ^? and the lone pair electrons of the nitrogen atom of the pyridine moieties. The “electropositive field space” …Cl ^? coupling exists when Cl ^? is recognized. The strong anion binding energy with F ^? indicates that the polyamide cryptand prefers F ^? to Cl ^? .     

Energy-density relations in momentum space

Rigorous relations are derived between the electronic energy and the electron momentum density of a molecular system whose Hamiltonian takes the form ofg(λ)T({r}) +h(λ)V({r};{R}) and depends on a parameter λ.     

Computational investigation of thermochemical properties of non-natural C-nucloebases: different hydrogen-bonding preferences for non-natural Watson–Crick base pairs

In the present density functional theory study, we have compared intrinsic properties of non-natural nucleobases (acA, acG, acC, and acT nucleobases) such as proton affinities, gas phase acidities, tautomerization, and hydrogen-bonding properties with those in normal Watson–Crick nucleobases (A, G, C, T nucleobases). The hydrogen-bonding interactions in non-natural and Watson–Crick base pairs were studied at B3LYP/6-311++G (d,p) level regarding their geometries, energies, and topological features of the electron density. The quantum theory of atoms-in-molecule (QTAIM) and natural bond orbital (NBO) analyses were employed to elucidate the interaction characteristics in base pairs. The electron density ρ(r) as well as its Laplacian $ \nabla^{2} $ ρ(r) at the hydrogen bond critical point predicted by QTAIM is strongly correlated with hydrogen bond structural parameter and the second-order perturbation energies in NBO scheme. Our results show that most of hydrogen bonds in normal Watson–Crick and non-natural base pairs must be considered as electrostatic interactions. Results of calculations revealed that energetic values of hydrogen bonds in T–A base pair are more than those in ac T–ac A base pair, while values of hydrogen bonds in C–G base pair and ac C–ac G base pair are almost the same. These results confirmed stability order of stabilization energies of these base pairs.     

Resonance in compounds with multiple conjugated bonds

The resonance of the compounds buta-1,3-diyne (1), buta-1,3-diene (2), hexa-1,3,5-triyne (3), hexa-1,3,5-triene (4), hexa-3-en-1,5-diyne (5), and hexa-1,5-dien-3-yne (6) was analyzed. The molecular geometry, π molecular orbitals, and the electron density of these compounds were analyzed. The NBO, AIM, and NRT methods were used. By comparing the electronic structures of compounds 1 and 2 and by considering that the latter is a classic example of a π-conjugated compound (Org Lett 5:2373–2375, 2003; Org Lett 5:2373–2375, 2004), it was possible to conclude that the conjugation of compound 1 is larger than that of 2. Compounds 3 and 4 were also studied, in order to understand the effect of a longer conjugated chain, and it was found that the resonance also increases in the case of 3. In addition, the effect of changing the order of the central bond was investigated by comparison of compounds 5 and 6 with 3 and 4, respectively. The results indicated that changes produce small alterations in the properties of compounds 3 and 4.     

Derivate der 4-Isocamphanyl-4-oxo-buttersäure und ein neues Theaspirananalogon

The synthesis of some derivatives of the title compound is described and their odour with respect to structure-activity-relationships in dependence on the species and position of osmophoric carbonyl and hydroxyl groups is discussed. Only5 and7 exert a woody odour but without sandalwood tonality, the compounds4 and6 have a fruity fragrance. Moreover, the synthesis of the new analogue11 of theaspirane (3a) is reported.11 has an earthy-herbaceous odour which strongly resembles the aroma of black tea. The homologue of11, the bicyclic tetrahydrofurane9, exerts a similar fragrance with a more woody but less earthy tonality.     

Stereochemie von Metallocenen, 36. Mitt.:

The two optically active methylbenchrotrenecarboxylic acids (1 a and1 b) with absolute configurations established by the X-ray method were chemically correlated with several o-and m-disubstituted benchrotrenes. Curtius degradation of the carboxylic acids1 afforded amino methylbenchrotrenes (4) which were also obtained by reduction of the active aminobenchrotrenecarboxylic acids (2). From the amines4 by diazotation and methylation methoxy methylbenchrotrenes (5) were accessible which in turn were prepared by reduction of the active methoxybenchrotrene carboxylic acids (3). The m-isomer3 b was transformed by Curtius degradation into m-methoxy aminobenchrotrene (6 b). Thereby the absolute configurations of some sixty optically active benchrotrene derivatives are now established.     

The electronic structure of 5-methylhexa-1,2,4-triene-1,3-diyl, the first representative of highly delocalized triplet ethynylvinylcarbenes, from ESR spectroscopy data and quantum chemical calculations

The ESR spectrum of the first representative of highly conjugated triplet ethynylvinylcarbenes, 5-methylhexa-1,2,4-triene-1,3-diyl (1), was recorded in solid argon matrix. The zero-field splitting (ZFS) parameters of carbene 1 (D = 0.5054±0.0006 cm^?1 and E = 0.0045±0.0002 cm^?1) determined from the experimental ESR spectrum are in between the corresponding parameters of ethynylcarbene C3H2 (2) and vinylcarbene C₃H₄ (3): D(3) < D(1) < D(2) and E(2) < E(1) < E(3). Quantum chemical calculations of the ZFS parameters of 1, 2, and 3 have been carried out for the first time using two DFT-based approaches, RODFT and UDFT. An analysis of the experimental and theoretical ZFS parameters shows that carbene 1 is characterized by a greater extent of delocalization of the spin density of unpaired electrons than carbenes 2 and 3. The characteristic structural fragments of carbene 1 possess the principal features of the electronic structure of both ethynylcarbene (2) and vinylcarbene (3), respectively. Magnetic spin-spin interactions are identical in carbenes 1 and 2. The dominant contribution to D in 1 and 2 results from the one-center spin-spin interactions on carbon atoms in the propynylidene group, which are subjected to strong spin polarization.     

Photolyse von aliphatischen Säurechloriden in Diäthyläther

On photolysis of acetyl chloride (wave length 254 nm) in ethereal solution the main product is 3-ethoxy-2-butanone (1). The by-products are 2.3-diethoxy-butane (3), butane-2.3-dione, ethyl acetate and 3-acetoxy-2-butanone.1 is formed by the substitution of ether by the radical pair (CH₃CO·· Cl) within the solvent cage. Diffusion of the radical pair from the cage causes H-abstraction from the ether forming the α-ether radical2. The letter combines to3. The ratio of1 to3 depends on temperature.     

3,6-Dialkyl-1-phenyl-6-phenylazo-1,4,5,6-tetrahydropyridazine, (4+2)-Cycloadditionsprodukte aus 2-Phenylazo-1-alkenen, 2. Teil: Reaktionen

Catalytic hydrogenation of 3.6-dialkyl-1-phenyl-6-phenylazo-1.4.5.6-tetrahydropyridazines2 a-e gives crystalline bisphenylhydrazones of 1.4-diketones4 a-e; in solution,4 exists as a mixture of geometrical isomers due to the two phenylhydrazone functions. Reaction of2 a-f with H₂NOH yields the dioximes of 1.4-diketones5 a-f. On acid hydrolysis of2, the 6-phenylazo substituent undergoes some reactions and yields products typical of the intermediate “zwitterionic” phenyldiazene. Thus, the tetrahydropyridazine part of2 d yields 1-anilino-2.5-diisopropyl-pyrrole (9), that of2 e gives 2.2.7.7-tetramethyl-3.6-octanedione monophenylhydrazone (10) which undergoes ready oxidation to 3.6-di-t-butyl-6-phenylazo-1.2-dioxan-3-ol (12).     

Synthesis of aryl-substituted or aryl-fused N-hydroxyethyl and N-hydroxymethypyrazole derivatives as potential ligands for the estrogen receptor

A new series of N-hydroxyethylpyrazole (12a–f) and N-hydroxymethylpyrazole derivatives (15a–f) were designed for their estrogenic activities, having a 11.0 ± 0.5 Å distance between their two hydroxyl groups, aliphatic–OH and phenolic–OH similar to 17β-estradiol (E2) as an endogenous hormone. To synthesize the title compounds, the key intermediate 1,3-dicarbonyl derivatives (2 and 8), were treated with hydrazine hydrate to produce the pyrazole ring 5 and 9. Further hydroxyalkylation of the latter produced the title pyrazoles. The position of hydroxyethyl or hydroxymethyl substituents in the products was determined through 2D NOE NMR spectroscopy.     

Naphthologs of overcrowded bistricyclic aromatic enes: (E)-bisbenzo[a]fluorenylidene

(E)-11H-Bisbenzo[a]fluorenylidene (E-6) was synthesized by Barton’s double extrusion diazo-thione coupling method from 11H-benzo[a]fluoren-11-thione (11) and 11-diazo-11H-benzo[a]fluorene (13). The reaction is probably thermodynamically controlled; in the event that the less stable Z -6 is also formed, it would rapidly undergo Z → E diastereomerization to give E -6. The B3LYP/6-311G(d,p) calculated diastereomerization barrier for Z -6 → E -6 is ΔG ₂₉₈ = 57.0 kJ/mol (13.6 kcal/mol). The calculated equilibrium constant K _eq(E -6 → Z -6) = 92:8 (at 298 K) is indicative of a marked diastereoselectivity of the reaction leading to E -6. The structure of E-6 was established by ¹H-NMR and ¹³C-NMR spectroscopies and by X-ray analysis. PAE E-6 crystallizes in the monoclinic space group C2/c. The unit cell of the crystal structure E -6 contains eight molecules, arranged as four pairs of enantiomers. PAE E -6 adopts a twisted conformation with the pure twist of the central C¹¹=C^11′ bond ω = 39°. The dihedral angle ν in E -6 is 60.6°, which is significantly higher than the respective dihedral angle in PAEs Z -6, 2, E -7, Z -7, 14, and 15. The large syn-pyramidalization angles at C¹¹ and C^11′ (χ = 12.6° and 14.8°) of E-6 indicates the enhanced strain in the fjord regions of the molecule. The enhanced twist is primarily attributed to the double benzo[a]annelation of the bifluorenylidene moiety at the fjord regions. The B3LYP/6-311G(d,p) calculated structure of E -6 is in a very good agreement with the experimental X-ray structure. PAE E -6 adopts a twisted conformation in solution, with the downfield chemical shift of H¹/H^1′ (8.31 ppm); H¹⁰/H^10′ (δ = 7.20 ppm) and H⁹/H^9′ (δ = 6.86 ppm) in E -6 are positioned above the planes of the opposing naphthalene rings. PAEs E -6 and Z -6 are significantly higher in energy than their corresponding benzo[b]annelated isomers E -7 and Z -7.     

Syntheses and extraction properties of novel biscalixarene and thiacalix[4]arene hydrazone derivatives

By reacting thiacalix[4]arene with p-tosyloxyethoxylbenzaldehyde 1, 3-bis(benzaldehyde-4-oxyethyloxy)-p-tert-butylthiacalix[4]arene (2) were prepared in yield of 65%. Refluxing compound 2 with aniline, salicylic hydrazide, nicotinic hydrazide and isonicotinic hydrazide, novel ringopening 1,3-bis-arylformyl-hydrazone substituted thiacalix[4]arene derivatives (3a–3d) were obtained in yields of 77–89%. Refluxing compound 2 with o-phenylendiamine, oxalyl dihydrazide, malonic dihydrazide and adipic dihydrazide in “1 + 1” intermolecular condensation mode under diluted condition, novel 1,3-bis-acyl hydrazone-bridged calix[4]arene derivatives (4a–4d) were prepared in good yields. Moreover, by condensating compound 2 with 1,3-bis(hydrazinocarbonyl-methoxy)-p-tert-butylcalix[4]arene (5), the first example of hydrazone-bridged biscalixarene (6) with calix[4]arene and thiacalix[4]arene subunits was facilely synthesized in yield of 90%. The noncompetitive and competitive extracting experiments showed that these novel hosts were good receptors for both metal cations and α-amino acids. Compounds 3a–3d and 4a–4d showed similar binding properties with high extraction percentage but low extracting selectivities. Biscalixarene 6 exhibited not only high extracting abilities but also good extracting selectivities.     

Nitropyrazoles 23. Synthesis of substituted N-amino-3-nitro-5-R-pyrazoles

The study is devoted to nucleophilic substitution of nitro groups in 1-amino-3,5-dinitropyrazole (1) and its amino group derived analogs. Compound 1 upon treatment with S-nucleophiles undergoes regioselective substitution of the nitro group at position 5. Azomethine 5 obtained by the condensation of 1 with benzaldehyde gives the nucleophilic substitution reaction with S-, O-and N-nucleophiles also with involvement of the nitro group at position 5. The synthesized 5-R-substituted azomethines 7–9 upon treatment with hydrazine hydrate form N-amino-5-R-3-nitropyrazoles and benzaldazine.     

Synthesis and antimicrobial activity of novel chalcone derivatives

A series of novel 3-[N, N-bis(2-hydroxyethyl)-amino]-chalcone derivatives 3a–3j were synthesized by the aldol condensation of [N, N-bis(2-hydroethyl)-3-amino]-acetophenone 2 with aromatic aldehydes. Their structures were further confirmed by ESI-HRMS, ¹H NMR, IR and elemental analysis. X-ray analysis reveals crystal 3b is a monoclinic system with P2₁/n space group. The antimicrobial activities of the newly synthesized chalcones in vitro were evaluated and the results indicated that most compounds presented moderate to good antimicrobial activities, especially the antifungal capability. Compounds 3a, 3d, 3f and 3g revealed obvious potency against Candida albicans with MIC values of 32 μg/mL, which were better compared with others.