Force constant computations,part IV: Extremal nature of force constant solutions with a singular jacobian

Force constant solutions to the vibrational secular equations for which the jacobian is singular are shown to have the extremal property (∂F_rr/∂F_st) = ∞ for all r.     

Facile one-pot preparation of gold nanoparticles in the presence of fluoroalkyl end-capped oligomers,fluoroalkyl end-capped oligomers/silica nanocomposites,and fluoroalkyl end-capped oligomers/polyaniline nanocomposites

A variety of fluoroalkyl end-capped oligomers, such as fluoroalkyl end-capped acrylic acid oligomer [R_F-(ACA) _n -R_F], acryloylmorpholine oligomer [R_F-(ACMO) _n -R_F], 2-acrylamido-2-methylpropanesulfonic acid oligomer [R_F-(AMPS) _n -R_F], 2-(methacryloyloxy)ethanesulfonic acid oligomer [R_F-(MES) _n -R_F], and N,N-dimethylacrylamide oligomer [R_F-(DMAA) _n -R_F], were applied to the autoreduction of gold ions to give the corresponding oligomers/gold nanocomposites, of whose sharp plasmon absorption bands are observed around 535 nm. In these fluorinated oligomers, R_F-(ACA) _n -R_F oligomer and R_F-(ACMO) _n -R_F were effective for the one-pot preparation of the gold nanoparticles under very mild conditions; although the other fluorinated oligomers and the corresponding non-fluorinated–(ACMO) _n -oligomer were unable to afford the gold nanoparticles. R_F-(ACA) _n -R_F/SiO₂ nanocomposites and R_F-(ACMO) _n -R_F/SiO₂ nanocomposites, which were prepared by the sol–gel reactions of tetraethoxysilane in the presence of silica nanoparticles and the corresponding oligomers under alkaline conditions, were also applied to the encapsulation of gold nanoparticles into these fluorinated nanocomposite cores through the autoreduction of gold ions at room temperature. Interestingly, these fluorinated oligomers/silica nanocomposite-encapsulated gold nanocomposites before and after calcination at 800 °C were found to exhibit the same plasmon absorption band around 525 nm. R_F-(MES) _n -R_F oligomer and R_F-(AMPS) _n -R_F oligomer are not suitable for the autoreduction of gold ions; however, R_F-(MES)_n-R_F[or R_F-(AMPS) _n -R_F]/polyaniline [PAn] nanocomposites, which were prepared by the polymerization of aniline initiated by ammonium persulfate in the presence of the corresponding oligomer, enabled the formation of gold nanoparticles through the oxidation of PAn in the composites at room temperature. The reversible conformational change of PAn in the nanocomposites from the polyemeraldine salt to the oxidized pernigraniline base was observed during such oxidation process. Graphical abstract

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Ab-initio study of localization of an excess electron in sodium halide clusters

The equilibrium geometries of Na _n F _n and Na _n F _n?1 are optimized forn=2, 3, 4 at the SCF level. The Na _n F _n molecules appear as formed by Na⁺ and F^? ions. The paper studies the localization of the excess electron in the Na _n F _n?1 molecules. Na _n F _n?1 is obtained by removing from Na _n F _n a fluorine atom, and the excess electron takes the place of this lacking center, and allows a weak bond between the neighbouring Na atoms. Secondary minimum geometries, for which the excess electron has no defined place, are also studied.     

Ab-initio study of optical response properties of nonstoichiometric lithium-hydride and sodium-fluoride clusters with one- and two-excess electrons

Structural and optical response properties of Li _n H _n-m and Na_nF _n-m (n = 2-6, m = 1, 2) clusters containing one- and two-excess electrons are studied using ab-initio methods accounting for electron correlation. The common feature of the optical response obtained for the most stable structures of Na_nF _n-1 (n = 2-6) clusters is the appearance of a dominant intense transition in the infrared regime independently whether the single excess electron is localized at the cuboid corner vacancy (surface F-center) or at the external atom attached to the filled cuboid. In contrast, Li_nH _n-1 (n = 2-6) clusters exhibit substantially different spectroscopic patterns with respect to halides also for the cases with the common structural properties. Optical response features of Li_nH _n-2 (n = 3-6) clusters with two-excess electrons are characterized by dominant transitions in the visible regime reflecting segregation in “metallic” and ionic parts. In contrast, Na_nF _n-2 = 3-6) can be divided according to their optical and structural properties into cuboid “lattice” defect species (Na₄F _n , Na _n F₄) and segregated metallic-ionic systems. For the former, the intense transitions occur in the infrared-visible, and for the latter only in the visible regime. It will be shown that the calculated absorption patterns are excellent fingerprints of structural and bonding properties.     

Photoelectron spectroscopy of silicon and germanium-fluorine binary cluster anions (SinF m − , GenF m − )

Electronic properties of silicon-fluorine and germanium-fluorine cluster anions (Si_nF _m ^? n = 1–9, m = 1–3, Ge_nF _m ^? ; n =1–9, m = 1–3) were investigated by photoelectron spectroscopy using a magnetic-bottle type electron spectrometer. The binary cluster anions were generated by a laser vaporization of a silicon/germanium rod in an He carrier gas mixed with a small amount of SiF₄ or F₂ gas. Comparison between photoelectron spectra of Si_nF^?/Ge_nF^? and Sin /Gen (n = 4–9) gives the insight that the doped F atom can remove one electron from the corresponding Sin _n ^? /Ge _n ^? cluster without any serious rearrangement of Sin/Gen framework, because only the first peak of Si _n ^? /Ge _n ^? , corresponding singly occupied molecular orbital (SOMO), disappears and other successive spectral features are unchanged with the F atom doping     

A study on constrained methods for the evaluation of force fields

The Sawodny, Thakur-Rai, Center-Ellipse and Stepwise Coupling (m_o = 1 and m_o = ∞) methods for the constrained evaluation of force fields were applied to a number of molecules with n = 2. A new empirical constraint for F₁₂ was also tested. The empirical constraint was observed to be the best method, but the Becher-Mattes method for m_o = ∞, also gives excellent agreement. The Thakur-Rai and the empirical methods were also applied to n = 3, YC(H, D)₃. (Y = F, Cl, Br, I) molecules, through the two-dimensional approach.     

Steric effects in oxidative addition and reductive elimination reactions of rhodium pentafluorophenylthiolate complexes

The complexes [cis-Rh(SC₆F₅)(PPh₃)₂(L)] (L = py, 3-Mepy, isoquin, N-Melm; py = pyridine, 3-Mepy = 3-methylpyridine, isoquin = isoquinoline, N-Melm = N-methylimidazole) readily undergo oxidative addition of HR (R = H, SC₆F₅, C₂Ph) to give [RhH(R)(SC₆F₅)(PPh₃)_n(L)_3−n] (n = 1, 2) whereas the complexes [cis-Rh(SC₆F₅)(PPh₃)₂(L′)] (L′ = 2-Mepy, 2,6-Me₂py, quin; 2-Mepy = 2-methylpyridine; 2,6-Me₂py = 2,6-dimethylpyridine, quin = quinoline) react only where R = C₂Ph. Where conditions favour the formation of [RhH(R)(SC₆F₅)(PPh₃)_n(L′)_3−n] reductive elimination of H₂ (R = H) or C₆F₅SH (R = SC₆F₅, C₂Ph) occurs.     

Quantum-chemical calculations of the IR absorption spectra of modified polytetrafluoroethylene forms

DFT(B3LYP) (basis set 6–31 + G(d)) and HF (basis set 6–31G) calculations were performed to determine the geometric structure and vibrational spectra of the C_nF_2n and C_nF_2n O molecules (n = 3–13). The IR spectra of chain C_nF_2n O molecules with the terminal carbonyl group (-COF) were found to contain a band at 1885 cm^?1. The C=C and C=O stretching vibrations of the-CF=CF₂ and COF terminal groups were independent, and there was no mutual influence of their frequencies starting with the seven-fragment molecule. In the presence of chain branching, the sensitivity of the ν(C=C) and ν(C=O) frequencies in the olefin and carbonyl groups depended on where branching occurred. The chain configuration was found to be energetically favorable compared with branched structures.     

Addition thermique des iodo-1-perfluoroalcanes sur les perfluoroalkylethylenes

We have undertaken a study of the thermal addition of 1-iodo-perfluoroalkanes (C_nF_{2n + 1}I where n = 4, 6, 8) to perfluoroalkylethylenes (C_nF_{2n + 1} CHCH₂ where n = 4, 6, 8). Structures of the reaction products were established through spectroscopic or chemical identification and the optimal conditions for obtaining 1,2-bis(perfluoroalkyl)iodoethanes determined. The good yields thus obtained demonstrate the utility of this method of perfluoroalkylation.     

The vibrational force field of halogenated aromatic molecules: V. The CH stretching field in fluoroaromatics

It is shown that the average CH stretching frequencies in the fluoroaromatic series C₆H_6?nF_n depend on the fluorine substitution patterns, being given by v? = v?_B + _noX_o + _nmX_m + n_pX_p. Two variants on the general quadratic force field, which are taken to be transferable between members of the series, have been fitted to the experimental data. Each ortho fluorine substituent increases the diagonal CH stretching force constant by 1.0%. The dependence on meta and para substituents is not as obvious as with the average stretching frequency due to the rather large variance. A comparison with existing correlations between average stretching frequencies and bond length data indicates that an ortho fluorine atom leads to a CH bond shortening of 0.0017 A. Such information could prove of value in microwave structural investigations.     

Synthesis of phosphate-type fluorocarbon-hydrocarbon hybrid surfactants and their adsorption onto calcium hydroxyapatite

Five novel phosphate-type hybrid surfactants, C_mF_2m+1C₆H₄CH[OPO₂(OC₆H₅)Na]C_nH_2n+1 (FmPHnPPhNa: m = 4, 6, 8; n = 3, 5), have been synthesized. When compared with sulfate-type hybrid surfactants, C_mF_2m+1C₆H₄CH(OSO₃Na)C_nH_2n+1 (C₆H₄ = p-phenylene), the new hybrid surfactants were found to have comparable abilities to lower the surface tension of water. The critical micelle concentrations of FmPHnPPhNa followed Klevens’ rule and their occupied areas per molecule increased with increasing m and n. Calcium hydroxyapatite (CaHAp) pellets modified with FmPH3PPhNa gave high hydro and lipophobic surfaces. The hybrid surfactants are expected to be useful as new dental reagents for oral hygiene.     

The drag of the row of parallel chains of spherical particles in the Stokes flow

The drag of thin-layered porous deposit consisting of dendrites of identical spherical particles with respect to the flow of viscous incompressible liquid is calculated. The deposit is approximated by a model system, a row of parallel chains of particles oriented perpendicular to a flow direction. The expression is derived for the dimensionless drag force acting on the unit chain length as a function of the ratio of a particle radius to a half-distance between chain axes, a/h. It is shown that, at a/h < 0.5, the hydrodynamic equivalent of the chains is the smooth cylinder whose radius is 1.16 times smaller than the particle radius that agrees with the experiment. It is also shown that, at a/h = 1, the drag force of a particle contacting with four adjacent particles in the layer with square packing is equal to F = 44F _St, where F _St is the Stokes drag force of a spherical particle. The pressure drop in this single layer is by 3.5% higher than in the layer of spherical particles with cubic packing. At a/h = 2/√3, drag force F of the particle contacting with six particles in a single layer with hexagonal packing is equal to 340F _St.     

Action des bromures de perfluoroalkylmagnésiums sur les aldéhydes α,βéthyléniques

Perfluoroalkylmagnesium bromide, C_nF_2n+1MgBr (n = 2, 6, 8), reacts with α,β-unsaturated aldehydes to give allylic alcohols as the sole products. No attack on the β-carbon atom of the carbonyl was detected, even when the reaction was carried out in the presence of CuCl. Part of the Grignard reagent decomposes to trans-R_FCFCFBr and trans-R_FCFCFI. Neither a mechanism involving dissociation into R⁺_F MgX^- nor the formation of a carbene intermediate is capable of explaining the thermal decomposition of the Grignard reagent.     

Synthesis and reactions of cyano-pentafluorophenyl aurate(I) and -(III)

The preparation of Q[Au(C₆F₅)_n(CN)_m] (Q = bulky cation; n = 1 or 3, m = 1; n = 2, m = 2) is described and the f     

Specific F binding to phenyl ring of aromatic polymers

Most of the hydrogels deswell more remarkably in F⁻ containing solutions than in other monovalent anion containing solutions. However, significant deswelling followed by abnormal reswelling of polymer gel in KF solutions with increasing F⁻ concentration was observed in a series of polymer gels consisted of phenyl rings, for instance, poly(styrene sulfonic acid) (PSSA), hydroxypropyl methylcellulose phthalate (HPMCP) and poly(4-vinyl phenol) (P4VPh) gel. Driving force of this phenomenon was studied to reveal the specific interactions involved in the aqueous systems of aromatic polymers. Elemental analysis and XPS results suggest that F⁻ is embedded to the gel by the physical adsorption of KF, as well as the interactions between phenyl ring and F⁻. Further theoretical calculations revealed that the interaction may be (phenyl)CH?F⁻(H₂O)_n interaction, which is stronger than (phenyl)CH?(H₂O)_n hydrogen bond. This kind of interaction decreases with the increasing water number and it is invalid when the surrounding water number is more than 5 for the phenol-F⁻(H₂O)_n system. Therefore, we conclude that F⁻ could bind to phenyl ring via such (phenyl)CH?F⁻(H₂O)_n interaction in solutions with low hydrophilicity. The strong polarization effect of F⁻ and (phenyl)CH?F⁻(H₂O)_n interaction are two important driving forces for the reswelling of gels.     

Ab-initio study of Na n F n and Na n F n−1 clusters: atypical structures

Alkali halide clusters Na _n F _n have most frequently cuboid structures and Na _n F _n?1 clusters are derived from Na _n F _n by removing a F^? centre. An excess electron localises on the site of the removed F^? ion. In this paper, other kind of clusters are studied at the SCF level: i) The non-cubic structures. ii) The cubic Na _n F _n?1 for which the excess electron has no defined site. Due to very large size of these species (at least 27 atoms!) some equivalent fictive linear and planar geometries are studied.     

An electron-diffraction study of the molecular structure of gaseous perbromyl fluoride and calculation of its force field and vibrational amplitudes

The molecular structure of FBrO₃ has been studied by gas-phase electron diffraction. Least-squares refinements of the molecular geometry using fixed spectroscopic amplitudes revealed two geometrical minima. Initially, the amplitudes employed were derived from diagonal force fields obtained by spectroscopic least-squares refinements to fit observed and calculated wave numbers; for each geometry there are two spectroscopic minima. In the lowest geometrical minimum the wave number agreement is poor, however, the introduction of the ∠OBrO/∠FBrO interaction force constant removed the discrepancies; the resulting force field is F(Br-O) = 6.92 ± 0.02 mdyn Å^?1F(Br-F) = 3.22 ± 0.03 mdyn Å^?1, F(∠OBrO) = 1.06 ± 0.02 mdyn Å, F(∠FBrO) = 0.81 ± 0.03 mdyn Å, F(∠OBrO/∠FBrO) = ?0.19 ± 0.02 mdyn Å. In the corresponding geometrical minimum r_g(Br-O) = 1.582 ± 0.001 Å, r_g(Br-F) = 1.708 ± 0.003 Å, r_α(∠OBrO) = 114.9 ± 0.3°, r_α(∠FBrO) = 103.3 ± 0.3°. Perpendicular amplitude correction coefficients, calculated for each force field employed, were used throughout to relate the interatomic distances through the r_α-structure. The geometries of the r_α^o- and r_e-structures are estimated.     

Specific recognition of syndiotactic poly(methacrylic acid) in porous isotactic poly(methyl methacrylate) thin films based on the effects of stereoregularity,temperature, and solvent

The effects of stereoregularity, temperature, and solvent on the specific recognition of syndiotactic (st)‐poly(methacrylic acid) (PMAA) in macromolecularly porous isotactic (it)‐poly(methyl methacrylate) films were investigated to give important insights into the regularity and stability of nanospaces in the it‐PMMA films as well as template polymerization. The porous it‐PMMA films were fabricated on quartz crystal microbalance (QCM) substrates via the layer‐by‐layer (LbL) assembly of it‐PMMA/st‐PMAA, plus the st‐PMAA extraction from the assembly. QCM analysis and infrared spectroscopy revealed the first case of stereocomplex formation using st‐PMAA with lower stereoregularity (rr = 73%) in the LbL films, while st‐PMAA obtained with conventional free radical polymerization (rr = 62%) was barely incorporated into the porous it‐PMMA films. The maximum st‐PMAA incorporation increased from 25 to 40 °C, but there were almost no difference between 40 and 55 °C, indicating that the it‐PMMA crystallization would also be accelerated with increasing temperature. The studies on st‐PMAA incorporation with various complexing solvents revealed that the host it‐PMMA in the porous films could only form the original stereocomplex with 2/1 unit‐molar stoichiometry (st‐PMAA/it‐PMMA) in acetonitrile/water or ethanol/water. © 2010 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 48: 3651–3657, 2010     

Comparative study of the gas-phase bond strengths of CO2 and N2O with the halide ions

Thermodynamic data, ΔH _{n-1, n} ^o and ΔS _{n-1, n} ^o, for clustering reactions of halide ions X^?(X = F, Cl, Br, and I) with N₂Owere measured with a pulsed electron beam high-pressure mass spectrometer. In contrast to the fact that CO₂ forms a covalent bond with the fluoride ion to yield the fluoroformate ion, FCO₂ ^?, the interaction between F^? and N₂O is mainly electrostatic. It was found that the cluster ions F^? (N₂O)_n complete the first shell at n = 6, thus forming an octahedral structure. The difference between F—CO₂ ^? and F^? ... N₂O is discussed in terms of Coulombic, exchange, and charge-transfer interactions. The X^? (N₂O)₂ clusters (X = Cl, Br and I) are found to be of C_2h symmetry, while F^? (N₂O)₂ is of a twisted form and is slightly asymmetric due to a slight participation of covalency (charge transfer) in the core ion F^? ... N₂O.