Neutron scattering from a deformed “vander Waals chain”-quasi Gaussian approximation

We calculate the neutron scattering form of an affinely deformed van der Waals chain, i.e., a labeled chain embedded in a network, whose deformation behavior can be described by an effective van der Waals equation in an effective Gaussian approximation. This provides microscopic information about the deformation behavior of van der Waals networks and complements the macroscopic information given by stress-strain relations.dedicated to Prof H.-G. Kilian on occasion of his 66th birthday     

Van der Waals networks in the compressive deformation of polyethylene

The compressive stress-strain behavior of biaxially oriented polyethylene (PE), obtained by pressing uniaxially oriented samples, is described with the aid of the van der Waals equation of state. Results are discussed in terms of two parameters: the biaxiality (B) and the biaxial draw ratio (), which offer a measure of the strain along the two principal directions and of the average draw ratio on the film plane, respectively. Comparison of experimental and calculated data indicates that after compression up to very large deformations the maximum average strain ( _m ), which is proportional to the square root of the chain length of the network, remains constant. This result supports the view that the network of entanglements is not destroyed after compression. Experiments carried out on isotropic melt crystallized PE show the presence of a network having a not very different chain length. Finally, it is shown that the segment length of this network is close to the X-ray long period of the initial structure. This result implies the existence of a high density of entanglements (two entanglements every three adjacent lamellae), which are rejected into the defective layer of the crystals.     

The dynamik contact angle II. Investigation of the adsorption mechanism based on the measurement of the preceding contact angles

The structure of the adsorption layer at the solid/gas interface is characterized, as a function of conditioning concentration, by the measurement of preceding contact angles. The contact angles were determined tensiometrically (plate method) and cinema tographically (capillary rise method) in the system glass or mercury/n-dodecyl ammonium chloride solution/air, respectively. In the dependence of contact angle on concentration, four regions are provable. These regions correlate with the surfactants, which are bound to adsorption in a heteropolar mode or by van der Waals forces of interaction, with the formation of layer-like coverage and with bilayers. Special attention was given to the fact that loosely bound surfactants are transferred from the solid/gas interface to the liquid/gas interface and cause a reduction of the preceding contact angle.Publication No. 1077 from the Research Institut of Mineral Processing, Academy of Sciences of the GDR, Freiberg, G.D.R.     

Van der Waals surface graphs and molecular shape

A van der Waals surface graph is the graph defined on a van der Waals surface by the intersections of the atomic van der Waals spheres. A van der Waals shape graph has a vertex for each atom with a visible face on the van der Waals surface, and edges between vertices representing atoms with adjacent faces on the van der Waals surface. These are discrete invariants of three‐dimensional molecular shape. Some basic properties of van der Waals surface graphs are studied, including their relationship with the Voronoi diagram of the atom centres, and a class of molecular embeddings is identified for which the dual of the van der Waals surface graph coincides with the van der Waals shape graph. This revised version was published online in July 2006 with corrections to the Cover Date.     

Adsorption of quaternary ammonium chlorides with various hydrocarbon chain lengths to glass

Contact angles, measured with various liquids, have been employed to calculate the surface free energies of glass after adsorption of quaternary ammonium chlorides with a variable hydrocarbon chain length 8n16. The thickness of the adsorbed layers has been determined ellipsometrically. A clear relation is observed between the measured parameters and the hydrocarbon chain lengthn, if only the extremesn=8 andn=16 are considered. Surface free energies decrease from 138 erg.cm^–2 for clean glass to 101 and 64 erg.cm^–2 forn=8 andn=16, respectively, at the highest concentration tested (7.5 mM). The adsorbed layer thickness of C₈ amounts to approximately 50 % of the thickness observed for C₁₆. No clear relation between the measured parameters is observed for the intermediate hydrocarbon chain lengths, which presumably reflects the many configurations possible in these adsorbed layers. It is envisaged that adsorption of C₈ as well as C₁₆ is restricted to a monolayer, which is completed at approximately 2 mM. In the case of C₈ electrostatic repulsion between the polar headgroups will inhibit further adsorption, whereas in the case of C₁₆ the van der Waals attraction from the adsorbed layer and the glass will probably not be sufficient to stimulate further adsorption.     

Large deformation in filled networks of different architecture and its interpretation in terms of the van der Waals network model

The first quasi-static stretch of the two limiting systems of filler loaded rubber have been investigated. One of them is found by filler to matrix contacts only, the other by crosslinking permanently the matrix. In this case filler-matrix contacts are made by adhesion. The experimental results were described in terms of an extended van der Waals approach. It is illuminated that different filler to matrix contact (permanent bonds or adhesion) lead to different deformation mechanism, substantially affecting the reinforcement. Moreover, filler induced local field-modifications due to the boundary value problem can be understood with the Einstein-Smallwood approach independent of the kind of the filler to matrix contacts.     

Morphological studies of deformed polybutylene terephthalate (PBT)

PBT is a semi-crystalline thermoplastic polymer whose deformation behavior highly depends on processing parameters. This makes it a model polymer for investigating morphological changes caused by deformation on the spherulitic and lamellar level. In the neck region all states of deformation of the spherulites are observed. Even in the fibrillar phase the borders of the spherulites remain visible. The spherulitic structure is not totally destructed in the neck. The lamellar structure of the fibrillar phase significantly differs from that of the spherulitic region. The lamellae are orientated with respect to the direction of deformation and the lamellae heights are reduced distinctly. Scanning electron microscopy of fracture surfaces reveals for some samples a sharp frontier between spherulitic and fibrillar region. This leads to the conclusion that the necking process may be a phase transition between an isotropic and a highly orientated phase, as predicted for a Van der Waals network.     

Network properties of mixtures of protonated and deuterated polyethylene

Mixtures of protonated and deuterated polyethylene were irradiated in the melt. The degree of crystallinity, the degree of crosslinking, as well as the enthalpyH and the melting pointT _M were determined. No significant differences in the degree of crosslinking between protonated and deuterated chains were found. The mass specific entropyS of the uncrosslinked samples remained constant and independent of the deuterium concentration. For the crosslinked samples, a netpoint entropy was postulated. A weaker Van der Waals interaction could explain the decrease in melting temperature by deuteration (for weakly crosslinked samples).     

Review article: ion pair potentials for alkali halides and some applications to liquids and defect studies

Abstract

We review the basis on which interionic potentials for alkali halides are obtained. We find that the sizes of the van der Waals terms are known poorly and that the polarizable ion models lack the necessary thermodynamic corrections, however small they may be, to fit low temperature properties of the solid. Although the quantum statistical calculations indicated some damping of van der Waals interactions due to ionic overlap, a systematic study of the basic and modified approaches shows them to be unsatisfactory.     

Charge carrier photogeneration in polymers

The charge carrier photogeneration in polymers can be depicted as a multistage process that involves i) photoexcitation to a neutral molecular electronic state, ii) autoionization of the excited state, iii) thermalization of the hot electron, leading to the formation of a Coulomb field-bound geminate electron-hole pair, and iv) thermal dissociation of the electron-hole pair into free carriers. This model is proposed for all types of polymers with a large ocnjugated pendant group and both the saturated and non-saturated main chain. The separation distance of the electron-hole pairs ranges from 2 to 3 nm, and the primary quantum efficiency of the electron-hole pairs formation assumes values of several tenths of charge per photon. In intrinsic materials like substituted polyacetylenes both the interchain and intrachain charge transfer excitons can be formed. Onsager's theory can provide a satisfactory explanation of the dissociation step. In polymers with the saturated main chain and large conjugated pendant groups the charge-transfer excitons are very often stabilized by self-trapping in dimer deep traps. Dedicated to Prof. Dr. W. Pechhold on the occasion of his 60th birthday     

Polyamide 6,6 fibers: Tensile deformation behavior and chain scission

The strain dependence of the elastic, anelastic and plastic components of deformation energy was determined by means of cyclic stress-strain experiments for a set of polyamide 6,6 fibers obtained by different processing techniques. Small angle X-ray scattering experiments revealed that the deformation of the supermolecular lattices of the fibers, consisting of crystalline lamellae and amorphous regions, was identical to the macroscopic deformation of the sample.ESR experiments showed that deformation gives rise to chain rupture events obviously occurring in the amorphous regions in all fibers above a critical strain level. The strain dependence of the free radical concentration was found to agree closely with the corresponding behavior of the plastic deformation energy. This indicates that chain rupture events influence stress-strain properties, particularly at large strains. The absolute values of the experimentally determined plastic deformation energy and of the theoretical value, however, calculated from the number and energy balance of ruptured chains, disagree strongly. Possible explanations are free radical recombinations and secondary dissipative processes resulting from chain rupture.     

Competition between crystallization and phase separation in polymer blends I. Diffusion controlled supermolecular structures and phase morphologies in poly(ɛ-caprolactone)/polystyrene blends

The type of supermolecular structure and the morphology in binary polymer blends with one crystallizable component and with a miscibility gap are strongly influenced by the relative rate of crystallization and demixing. Depending on the composition of the blend and on the relative position of the crystallization curve and the miscibility gap in the phase diagram, demixing-induced crystallization as well as crystallization-induced demixing can occur. Both these approaches lead to new and interesting structures. Additionally, the interaction of the two mentioned kinds of phase transition can under circumstances affect the growth rates of adjacent spherulites. This results in anisotropic concentration distribution or phase-separation morphology around their surfaces.Dedicated to Prof. Dr. W. Pechhold on the occasion of his 60th birthday.Presented at the Frühjahrstagung des FA Polymerphysik der DPG, Bad Nauheim, FRG, April 1990.     

Synthesis and characterization of emulsifier-free quaternarized vinylbenzylchloride latexes

Polycationic polymers have been obtained through a two-step procedure. First, poly-vinylbenzylchloride [P(VBC)] latexes were prepared under emulsifier-free conditions using a cationic initiator: 2,2-azobis(2-amidinopropane) hydrochloride; then the resulting latexes were reacted with trimethylamine. Particular attention was paid to side reactions occurring during the hydrolysis of the chloromethyl groups and the crosslinking reaction due to a transfer reaction onto polymer. The influence of various parameters on the particle size and structure of latexes as well as secondary reactions were investigated through a careful characterization.     

Further electron microscope observations on polyethylene III. Smectic intermediate state during melting and crystallization

While it was possible to demonstrate in the first part of this paper [1] that the granular structure in an LPE melt created by short-time staining with chlorosulfonic acid is an artifact, it was demonstrated in the second part [2] that an artifact can actually be useful. It makes it possible to differentiate between the mobile melt and a very thin layer of fixed melt on the crystalline lamellae which corresponds to the switchboard model.This third part reports the discovery of a smectic type of liquid crystal intermediate state both in the melting and in the crystallization processes, which many authors regarded as impossible because of the flexibility of the molecules in polyethylene.Extracts presented at the 32nd Hauptversammlung der Kolloid-Gesellschaft und Berliner Polymeren Tage 1985, 2–4 October 1985 in Berlin     

Morphology and viscoelasticity of bilayer aqueous colloids of low-molecular and macromolecular amphiphiles

Aqueous colloids of didodecyldimethylammonium bromide (DMA), allylbis[2-(dodecanoyloxycarbonyl)ethyl]methylammonium bromide (ADM) and polymer of ADM (PADM) were employed for morphological and rheological studies.The polymerization was carried out by irradiation of UV-light for the monomeric colloid. Weight average molecular weight of the polymer is about 16.3×10⁴.Diameters of vesicles at critical micelle (aggregate) concentration were 8 10 nm in the aqueous colloids of DMA, ADM and PADM. Various bilayer textures which were dependent upon the concentration and the temperature could be found in these amphiphiles. In particular, the bilayer textures were full in variety in the PADM system.Rheological properties of the aqueous colloids of these amphiphiles depended strongly upon the bilayer textures.     

Interpretation of surface-tension isotherms of n-alkanoic (fatty) acids by means of the van der Waals model

Here we apply the two-dimensional van der Waals model to interpret surface-tension isotherms of aqueous solutions of n-alkanoic (fatty) acids. We processed available experimental data for a homologous series of eight acids, from pentanoic to dodecanoic (lauric). Only three adjustable parameters have been varied to fit simultaneously all experimental curves. Excellent agreement between the theoretical model and the experiment has been obtained. The determined parameter values comply well with the molecular properties and allow one to calculate the surfactant adsorption, surface elasticity, and the surface pressure vs area isotherms. For the dodecanoic acid, the van der Waals model indicates the existence of a surface phase transition.     

A fluorescence detection system for the analytical ultracentrifuge and its application to proteins,nucleic acids,and viruses

A fluorescence detection system was developed for the analytical ultracentrifuge Spinco model E. Fluorescence is excited by a laser beam which is focussed into the cell and illuminates an area with a dimension of 60 m in radial direction. For scanning the laser beam is moved in radial direction. After passing the cell, the laser beam is quenched by a carbon light trap and a set of optical filters. Fluorescence emission intensity is monitored by a photomultiplier located behind the light trap and the set of filters. The sensitivity of the detection system was tested by applying it to the sedimentation analysis of proteins and nucleic acids. Bovine serum albumin (BSA) was covalently labelled with the fluorescence-dye fluorescein-isothiocyanate (FITC), and its sedimentation coefficient could be determined even if BSA was analyzed in a concentration as low as 10^–10 M. Nucleic acids were labelled non-covalently by the intercalating dye ethidium bromide. Only 8 ng RNA were needed for the determination of the sedimentation coefficient. The particular advantages of the fluorescence detection system were exploited for the establishment of a new method for quantitative virus detection. To tobacco mosaic virus (TMV) a monoclonal anti-TMV antibody from mouse was bound, and to this a second, anti-mouse antibody that carried the fluorescence-label FITC was attached. Either by UV-irradiation or by incubation with glutaraldehyde, the first antibody was covalently crosslinked to TMV, and the second antibody to the first. In CsCl density centrifugation with fluorescence detection as little as 3.2 ng virus/80 l or 6×10⁸ virus particles/ml were recorded in a well expressed band at the corresponding buoyant density. Tenfold lower concentration would result still in a significant band. The sensitivity compares well with those of the most advanced techniques from immunology. Due to the specific labelling of viruses by antibodies it will be possible to carry out quantitative physical characterization of virus containing samples without purifying the virus. Future applications of the fluorescence detection system and of the virus detection technique are discussed.This paper was presented at the VI. Symposium on Analytical Ultracentrifugation, Marburg, FRG, February 16–17, 1989.     

Acid hydrolysis of carboxymethylcellulose of low degree of substitution

Cotton cellulose was swollen in a sodium hydroxide solution and carboxymethylated by a two-bath method for different periods of time for each process. The kinetics of acid hydrolysis and the crystallinity of the swollen and carboxymethylated samples were measured. The proportion of broken bonds, rate constants for hydrolysis, and permeability of cellulose to hydrolyzing agents were calculated. The susceptibility of glycosidic linkages to acid hydrolysis was improved by carboxymethylation more than by swelling in alkali. The increased accessibility of carboxymethylcellulose to acid was regarded as a consequence of increased intra-and intercrystalline swelling and of the glycosidic bonds' weakness caused by the electron-attracting carboxymethyl group on the C-6 position.     

An interpretation of the strain-invariants in largely strained networks

It is known that the stress-strain behavior of real networks is quantitatively described by a van der Waals equation of state: the strain-energy function of these systems can be shown to depend upon the first strain-invariant only. With adequate deliberation, the second strain-invariant is identified as being related to “non-permanently crosslinked” elastic bodies.