Chain diffusion in the melt of an asymmetric diblock copolymer in the disordered and ordered state

 The self-diffusion in a polystyrene-b-polyisoprene diblock copolymer with a strongly asymmetric composition was investigated with dependence on temperature by pulsed field gradient (PFG) NMR. The diblock shows with decreasing temperature a disorder-to-order-transition at T _ODT=393 K from a micellar liquid-like to a bcc ordered state which was recently measured by SAXS [M. Schwab and B. Stühn, Phys. Rev. Lett. (1996) 76: 924]. Two diffusivities were observed, one of the free diblock chains and one of the diblock chains fixed in micelles. The volume fraction of free chains decreases with decreasing temperature. The diffusivity of the free chains must be related to chain stretching. The experiments show that within the time of the NMR experiment (300 ms) there is no exchange between the diblock chains in the free state and those fixed in the core of the micelles. Received: 25 March 1997 Accepted: 25 April 1997     

Micellization of triblock copoly(ethyleneoxide/tetrahydrofuran/ ethylene oxide)

 The association behaviour of triblock copoly(ethylene oxide/tetrahydrofuran/ethylene oxide), in particular E₁₀₀T₂₇E₁₀₀, in aqueous solutions has been investigated by means of static and dynamic light scattering, nuclear magnetic reso-nance (NMR) and surface tension techniques. On raising the polymer concentration at room temperature, the copolymer aggregates to form micelles with an aggregation number of about 105 (R _G, mic≈15 nm and R _H, mic≈13 nm, as revealed by light scattering and FT-PGSE NMR measurements, respectively). The micelles are kinetically quite stable, the micellar lifetime is shown to be more than 1 h. The residence time of a single unimer in a micelle is more than 140 ms. The apparent radius of gyration R _G, mic is fairly independent of concentration, but large effects are observed on varying the temperature. Raising the temperature initially results in an increase of the apparent micellar size, followed by a maximum at an intermediate temperature (≈45 °C). At higher temperatures a contraction of the micelles is observed. The shape of the micelles also appear to vary in this temperature interval. The interactions responsible for these phenomena are discussed in terms of, e.g., the temperature-dependent solubility of the alkylene oxide segments in water and polydispersity effects. Received: 29 January 1996 acccepted : 4 November 1996     

A self-diffusion study in aqueous solution and lyotropic mesophases of amphiphilic block copolymers

 Water-soluble poly(ethylene oxide)–poly(propylene oxide)–poly(ethylene oxide) (PEO–PPO–PPO) triblock copolymers are high-molecular-weight nonionic copolymers and form micellar solutions and liquid-crystalline mesophases in water. We studied the temperature dependence of polymer and water self-diffusion in solutions and lyotropic mesophases of the PEO₁₃ PPO₃₀ PEO₁₃/water and PEO₂₁ PPO₄₇ PEO₂₁/water binary systems. The self-diffusion measurements were performed by means of the pulsed field gradient spin-echo NMR method. The analysis of the water mobility was realised using “the obstruction factor” and “the two-site model”, which consider the reduction of the water self-diffusion due to the microstructure of the lyotropic aggregates and to the presence of one part of the solvent bound to the polymer aggregate surfaces. We calculated the water obstruction factors and the hydration numbers as a function both of the polymer composition and of the temperature. The results are compared with the data obtained in mesophases formed by classical surfactants. Received: 16 September 1999 Accepted in revised form: 24 November 1999     

Dielectric relaxation in carbosilane dendrimers with cyanobiphenyl end groups

Carbosilane dendrimers of generation 1 and 2 are functionalized with mesogenic end groups (cyanobiphenyl) via spacers of 5 and 11 carbons. The dielectric relaxation is measured over broad frequency (1 Hz–1 GHz) and temperature (170–470 K) ranges. Two relaxation regimes are observed and characterized as δ and β relaxation. The δ relaxation is nearly a single Debye process and varies strongly with temperature. The S_E to S_A transition observed for the dendrimers with long spacers causes a jump in the relaxation rate of the δ process. The β process displays an Arrhenius-type temperature dependence with an activation energy of 35 kJ/mol. The relaxation time depends on spacer length. The dielectric relaxation reflects the mutual distortion of the dendrimer scaffold and the smectic layers. Received: 9 June 1999 Accepted in revised form: 21 July 1999     

Restricted self-diffusion in an aqueous solution of poly(ethylene oxide) poly(propylene oxide) poly(ethylene oxide) triblock copolymer

 The self-diffusion behavior of a triblock copolymer (PEO–b– PPO–b–PEO) in an aqueous solution of 20% (m/m) was investigated during a temperature-induced phase transition from liquid to gel state using pulsed field gradient NMR and static light scattering. The measured self-diffusivity shows a strong dependence on the observation time in the gel phase indicating the existence of diffusion barriers in the size range of about 0.6 μm. Additional static light-scattering measurements show a structure in the same size range of several hundred nanometers, which is far above molecular or micellar sizes and thus, has to be caused by larger clusters. The similarity in the space scales suggests that the restriction of molecular propagation is correlated with the grain boundaries between the domains of the poly-crystalline structure formed by the arranged micelles. Received: 28 October 1996 Accepted: 21 March 1997     

Dynamic light scattering of an ionic SDS micellar solution under an AC electric field

The phase separation behavior of near-critical ionic sodium-dodecyl-sulfate (SDS) micellar solution under a sinusoidal electric field was investigated by phase-contrast optical microscopy and by the small-angle dynamic light scattering method. The sinusoidal electric field significantly deformed the concentration domains and shifted the phase separation temperature. The autocorrelation function under a sinusoidal electric field was measured in the vicinity of a phase separation temperature range of 0.10 K < T_p – T < 0.97 K, where T_p – T is the temperature distance from the phase separation temperature in quiescent state T_p. The correlation function with an oscillatory part in the longer correlation time region was observed. The occurrence of the oscillatory mode, which depended on both the applied field frequency and the ambient temperature, indicates deformation of concentration fluctuation domains by dynamical coupling between the phase separation and the applied sinusoidal electric field. Received: 9 June 2000 Accepted: 31 August 2000     

Experimental determination of the static permittivity of extremely thin liquid layers of water dependent on their thickness

 A new method for determining the static permittivity (dielectric constant) of extremely thin liquid interlayers is illustrated. A special condenser, which can be filled with a test liquid, is constructed. Both condenser plates – one planar, the other spherically curved – are made of vitreous carbon and are supplied with a high-grade politure. In order to adjust plate separation distances from 10 nm up to about some μm the planar plate can be easily shifted by a piezoelectric translation stage; the plate separation is monitored by an optical system supported by displacement transducers. The measuring frequency was kept constant at 1 MHz. Water was chosen as the test liquid. At 19.8 °C thin water layers having thickness smaller than 0.3 μm exhibit a decrease of the dielectric constant. The experimental data are consistent with a decay length α^-1 of the order of 1 nm which in view of the underlying crude model must be regarded as approximative. Received: 28 May 1996 Accepted: 30 September 1996     

Computation of stationary points via a homotopy method

A homotopy method is presented that locates both minimizers and saddle points of energy functions in an efficient manner. In contrast to other methods, it makes possible the exploration of large parts of potential energy surfaces. Along a homotopy path stationary points of odd and even order occur alternately. A path tracing procedure requiring only gradients and at most one evaluation of the Hessian matrix is given. Test results on a model potential and three MINDO/3 potentials are reported. Received: 6 May 1996 / Accepted: 2 April 1998 / Published online: 23 June 1998     

Influence of the order of polymer melt on the crystallization behavior: I. Double melting endotherms of isotactic polypropylene

The influence of the order of polymer melt on the subsequent crystallization and melting has been carefully studied. The experimental data show that the order of isotactic polypropylene (iPP) melt decreases with increases in the fusion temperature. For an iPP sample isothermally crystallized at 130 °C for half an hour, the degree of order of melt is higher when the fusion temperature is lower than about 170.5 °C, hence the lamellae formed in a rapid cooling process are perfect. If the fusion temperature is not higher than 167 °C, some thicker lamellae can exist in the melt. The melting of these unmelted lamellae and those lamellae recrystallized in the cooling process result in double endotherms. On the other hand, when the fusion temperature is higher than 170.5 °C, the order of the iPP melt decreases greatly; thus, the lamellae formed in the following cooling process are imperfect. At a lower heating rate, the recrystallization or reorganization of these imperfect lamellae also leads to double melting endotherms. Received: June 16, 2000 Accepted: October 16, 2000     

Classification of wine samples by means of artificial neural networks and discrimination analytical methods

 The three-layer artificial neural network (ANN) model with back-propagation (BP) of error was used to classify wine samples in six different regions based on the measurements of trace amounts of B, V, Mn, Zn, Fe, Al, Cu, Sr, Ba, Rb, Na, P, Ca, Mg,  K using an inductively coupled plasma optical emission spectrometer (ICP-OES). The ANN architecture and parameters were optimized. The results obtained with ANN were compared with those obtained by cluster analysis, principal component analysis, the Bayes discrimination method and the Fisher discrimination method. A satisfactory prediction result (100%) by an artificial neural network using the jackknife leave-one-out procedure was obtained for the classification of wine samples containing six categories. Received: 12 July 1996/Revised: 9 October 1996/Accepted: 12 October 1996     

Solid-state interdiffusion mechanism in strained Si1–xGex/Si heterostructures

The interdiffusion in a low-strained Si_0.93Ge_0.07/Si epilayer was analyzed by double-crystal X-ray diffraction. The interdiffusion was characterized by a low diffusion barrier of 1.81 eV with a diffusion constant of 4.3 × 10⁻⁵ cm²/sec, which indicates correlation with the stacking fault generated by the homoepitaxial growth of the Si layer prior to the growth of the strained SiGe layer. At the very low-strained layer, the driving force causing the interdiffusion is the concentration gradient, and the mechanism is self-diffusion of Si. Furthermore, the interdiffusion mechanisms were classified into three groups, depending on the Ge mole fraction x. For x < 0.2, the diffusion process in the SiGe alloy is similar to a self-diffusion of Si atoms, while, for 0.2 < x < 0.4, Ge atoms prefer to be diffused out from the alloy. Finally, for x > 0.4, Si atoms can be diffused into the alloy. Received: 22 April 1997 / Accepted: 4 June 1997     

Diffusion of methane and carbon dioxide in carbon molecular sieve membranes by multinuclear pulsed field gradient NMR

Carbon molecular sieve (CMS) membranes are promising materials for energy efficient separations of light gases. In this work, we report a detailed microscopic study of carbon dioxide and methane self-diffusion in three CMS membrane derived from 6FDA/BPDA(1:1)-DAM and Matrimid polymers. In addition to diffusion of one-component sorbates, diffusion of a carbon dioxide/methane mixture was investigated. Self-diffusion studies were performed by the multinuclear (i.e., (1)H and (13)C) pulsed field gradient (PFG) NMR technique which combines the advantages of high field (17.6 T) NMR and high magnetic field gradients (up to 30 T/m). Diffusion measurements were carried out at different temperatures and for a broad range of the root-mean-square displacements of gas molecules inside the membranes. The diffusion data obtained from PFG NMR are compared with the corresponding results of membrane permeation measurements reported previously for the same membrane types. The observed differences between the transport diffusivities and self-diffusion coefficients of carbon dioxide and methane are discussed.     

The influence of polymer molecular-weight distributions on pulsed field gradient nuclear magnetic resonance self-diffusion experiments

 The influence of polymer molecular-weight distributions on the outcome of pulsed field gradient (PFG) NMR self-diffusion experiments has been considered. The self-diffusion coefficient, D, of monodisperse poly(ethylene oxide) (PEO) polymers has been determined in order to accurately determine the scaling behavior of D both with molecular weight and concentration. In order to investigate the influence of polydispersity on the PFG NMR signal, a model system consisting of ten reasonably monodisperse PEO polymers was made, and the PFG NMR signal intensities were recorded at a low total concentration. The data were analyzed using both inverse Laplace transformation and nonlinear least-squares fitting to a prescribed distribution function of D. Finally, the molecular-weight distribution was obtained by use of the values of the scaling parameters. We also present some model calculations used to investigate the sensitivity of the degree of polydispersity on the NMR signal decays. Received: 27 May 1999 Accepted in revised form: 19 October 1999     

Fourier transform infrared study of poly (2-hydroxyethyl methacrylate) PHEMA

 Fourier transform infrared spectra in the wave number range 450–4500 cm^-1 of poly (2-hydroxy-ethyl methacrylate) PHEMA have been studied as functions of water content in the range 38–2.6 wt% and of temperature in the range 300–373 K. The results show changes in the intensities of the stretching frequencies of the carbonyl band, H–O–H bending vibration and O–H stretching vibration with a change in water content and temperature. The results confirm two types of water in the hydrogel polymer system, tightly bound water and loosely bound water. At low concentrations, water is mainly hydrogen-bonded to the polymer and is described as tightly bound water. However, at water concentrations greater than 18% by weight, part of the water exists in a different form and behaves as loosely bound water. For concentrations over 30%, there is some evidence that excess water behaves more loosely bound somewhat like bulk water. Infrared spectroscopic results supplement those obtained by means of NMR by Smyth et al. and by dielectric spectroscopy. Our results also show that some of the water continues to be hydrogen bonded to the polymer until at least a temperature of 373 K when the bulk water should have evaporated. FTIR is found to yield greater site-specific insight into the local behaviour of water in hydrated PHEMA. Received: 22 August 1996 Accepted: 11 November 1996     

Bottom-up self-organizing dissipative polymer nanostructures

Based on scaling concepts a methodology of research of non-equilibrium polymer systems has been elaborated. Polymers with flexible chains (melt-crystallized linear high density polyethylene is chosen as an example) are solutions in melt as well as in solid state, the ends of a chain serving as a solvent for it. At critical polymerization degree all phases (melt, solid isotropic or oriented state) are identical. The square of the neck draw ratio is equal to the product of the square of the draw ratio at break and the chain ends collision probability. This probability in its turn is proportional to the average thickness of amorphous layers in the isotropic material. Depending on the type of polymer statistics (Gauss or Lévy–Khinchin) and the number of components of an ordering field for the second case, the melt viscosity and the self-diffusion coefficient vs. the molecular weight of linear flexible-chain polymer follow the power laws with the 3.50, 3.41 or 3.33 and −2.50, −2.05 or −1.65 exponents, respectively, within the reptation model near the critical point. Vibrational–rotational Brownian motions of chain ends about the polymer melt flow direction were taken into account to find better agreement with the experiment. The recent experimental results of dynamic mechanic and dielectric spectroscopy show the value 3.5 ± 0.1 for the viscosity exponent of long chains, while NMR data result in −2.3 ± 0.1 for the self-diffusion coefficient exponent of short chains. Possible reasons are discussed.     

Homonuclear Selective One-Dimensional Gradient NMR Experiments in the Structure Determination of Natural Diterpene Derivatives

Summary.  The solution structure of two natural diterpene derivatives, the secondary metabolites esulatin-A and esulatin-B of Euphorbia esula, was investigated by homonuclear NMR experiments. Since the spectral dispersion of the ¹H NMR spectra at 500 MHz was sufficient to separate several skeletal protons of the title compounds, they were selectively excited with a double pulsed field gradient spin-echo (DPFGSE) sequence using 180°Gaussian pulses sandwiched between sine shaped gradients. With the use of selective excitation, scalar as well as dipolar interactions of the selected spins were monitored through one-dimensional (1D) COSY, TOCSY, and NOESY experiments. The chemical shifts of the coupling partners could be accurately extracted from the 1D COSY and TOCSY spectra recorded with high digital resolution. The selective TOCSY experiment provided an excellent opportunity to identify spins belonging to the same scalarly coupled spin system. The solution state conformation was investigated by selective gradient enhanced NOESY experiments. Proton–proton distances were evaluated from the cross-relaxation rates obtained from a quantitative analysis of the NOESY spectra recorded with different mixing times. The NMR derived distances were compared to the results of solid state X-ray diffraction measurements. Corresponding author. E-mail: pforgo@chem.u-szeged.hu Received November 21, 2001. Accepted (revised) January 9, 2002     

Molecular dynamics simulations of the isolated domain 1 of annexin I

Annexin molecules consist of a symmetrical arrangement of four domains of identical folds but very different sequences. Nuclear magnetic resonance (NMR) experiments on the isolated domains of annexin I in aqueous solution have indicated that domain 1 retains its native structure whereas domain 2 unfolds. Therefore these two domains constitute interesting models for comparative simulations of structural stability using molecular dynamics. Here we present the preliminary results of molecular dynamics simulations of the isolated domain 1 in explicit water at 300 K, using two different simulation protocols. For the first, domain 1 was embedded in a 46 ? cubic box of water. A group-based non-bonded cut-off of 9 ? with a 5–9 ? non-bonded switching function was used and a 2 fs integration step. Bonds containing hydrogens were constrained with the SHAKE algorithm. These conditions led to unfolding of the domain within 400 ps at 300 K. In the second protocol, the domain was embedded in a 62 ? cubic box of water. An atom-based non-bonded cut-off of 8–12 ? using a force switching function for electrostatics and a shifting function for van der Waals interactions were used with a 1 fs integration step. This second protocol led to a native-like conformation of the domain in accord with the NMR data which was stable over the whole trajectory (∼2 ns). A small, but well-defined relaxation of the structure, from that observed for the same domain in the entire protein, was observed. This structural relaxation is described and methodological aspects are discussed. Received: 10 May 1998 / Accepted: 4 August 1998 / Published online: 2 November 1998     

A nuclear magnetic resonance study of dynamics in toluene-polyisobutylene solutions: 1. Penetrant diffusion and Fujita theory

The self-diffusion coefficients of toluene in polyisobutylene (PIB) solutions were determined using the pulsed field gradient nuclear magnetic resonance technique. The volume fraction of toluene in the polymer was varied from 0.045 up to 0.712 and the temperature was varied from 225 K up to 368 K. The concentration dependence of the data was interpreted using the Fujita free volume theory and the temperature dependence was interpreted with the WLF equation. These models describe separately the concentration and temperature dependencies of the toluene self-diffusion coefficients very well and the resulting free volume parameters are in good agreement with the ones extracted from the analysis of viscosity data on the same system. ©1995 John Wiley & Sons, Inc.     

MCSS-based predictions of RNA binding sites

The diversity of RNA tertiary structures provides the basis for specific recognition by proteins or small molecules. To investigate the structural basis and the energetics which control RNA-ligand interactions, favorable RNA binding sites are identified using the MCSS method, which has been employed previously only for protein receptors. Two different RNAs for which the structures have been determined by NMR spectroscopy were examined: two structures of the TAR RNA which contains an arginine binding site, and the structure of the 16S rRNA which contains an aminoglycoside binding site (paromomycin). In accord with the MCSS methodology, the functional groups representing the entire ligand or only part of it (one residue in the case of the aminoglycosides) are first replicated and distributed with random positions and orientations around the target and then energy minimized in the force field of the target RNA. The Coulombic term and the dielectric constant of the force field are adjusted to approximate the effects of solvent-screening and counterions. Optimal force field parameters are determined to reproduce the binding mode of arginine to the TAR RNA. The more favorable binding sites for each residue of the aminoglycoside ligands are then calculated and compared with the binding sites observed experimentally. The predictability of the method is evaluated and refinements are proposed to improve its accuracy. Received: 24 April 1998 / Accepted: 4 August 1998 / Published online: 7 December 1998     

Investigations on poly(ethylene oxide)–p-bromotoluene intercalate by in situ heating Fourier transform IR spectroscopy

By means of differential scanning calorimetry, the phase diagram of the poly(ethylene oxide)–p-bromotoluene system (PEO–PBT) is established. It is found that PEO and PBT form a molecular intercalate with a molar stoichiometry of 22%, which corresponds to two PBT molecules for seven ethylene oxide units. The intercalate undergoes an incongruent melting at 48.5 °C on heating. Wide-angle X-ray diffraction experiments indicate that the PEO–PBT intercalate has a crystalline structure different from pure PEO. From variable-temperature Fourier transform IR spectroscopy investigations, it is believed that the macromolecular chains in the PEO–PBT intercalate adopt a 7/2 helical conformation which is identical to that in the pure PEO. There are a considerably large number of helical structures in the melt of the PEO–PBT intercalate at temperatures ranging from 50 to 60 °C even though the crystalline lattices collapsed in the aforementioned temperature range. Such a kind of melt is in a conformationally high order state. Received: 5 March 2001 Accepted: 31 August 2001