A. Khokhlov, E. Kramarenko, E. Makhaeva, S. G. Starodubtzev
{"title":"Collapse of polyelectrolyte networks induced by their interaction with an oppositely charged surfactant. Theory","authors":"A. Khokhlov, E. Kramarenko, E. Makhaeva, S. G. Starodubtzev","doi":"10.1002/MATS.1992.040010301","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010301","url":null,"abstract":"A very simple theory of swelling and collapse of weakly charged polyelectrolyte networks in the solution of an oppositely charged surfactant has been developed. The following contributions to the free energy were taken into account: free energy of volume interaction and of elastic deformation of the network chains, free energy connected with micelle formation and free energy of translational motion of all mobile ions in the system (translational entropy). Both the cases of a solution of charged surfactant and that of a mixed solution of charged and neutral surfactant components have been taken into account. It has been shown that the behaviour of the network depends on the total surfactant concentration in the system and corresponds to one of the three following regimes: At low concentration, micelles inside the network are not formed and the behaviour of the polymer network is similar to that of a network swelling in the solution of a lowmolecular-weight salt (regime 1). In the second regime, surfactant concentration inside the network exceeds the critical micelle concentration and micelles are formed; in this regime the network collapses because surfactant molecules, aggregated in micelles, cease to create “exerting” osmotic pressure in the network sample. In the third regime, at very high surfactant concentration, formation of additional micelles inside the network ceases, and the network dimensions coincide with those of the corresponding neutral network.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125751386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Kinetics theory of anionic copolymerization with constant monomer ratio, 1. Sequence distribution","authors":"Xiaodong Hu, D. Yan","doi":"10.1002/MATS.1992.040010305","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010305","url":null,"abstract":"The chain microstructure of copolymers generated via anionic copolymerization with constant monomer ratio is studied theoretically by using the linear operator technique to solve the kinetic differential equations. The microstructural parameters for copolymers, such as the functions of sequence distributions, average length of the sequence and fractions of dyads and triads, are derived and further connected with initial conditions and reaction time so that one can predict the chain microstructure for copolymers from the polymerization conditions.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126019372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Molecular geometry and chain entanglement: parameters for the tube model","authors":"T. He, R. Porter","doi":"10.1002/MATS.1992.040010302","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010302","url":null,"abstract":"The tube diameter in the reptation model is the distance between a given chain segment and its nearest segment in adjacent chains. This dimension is thus related to the cross-sectional area of polymer chains and the nearest approach among chains, without effects of thermal fluctuation and steric repulsion. Prior calculated tube diameters are much larger, about 5 times, than the actual chain cross-sectional areas. This is ascribed to the local freedom required for mutual rearrangement among neighboring chain segments. This tube diameter concept seems to us to infer a relationship to the corresponding entanglement spacing. Indeed, we report here that the critical molecular weight, M(c), for the onset of entanglements is found to be M(c) = 28 A/([R2]0/M), where A is the chain cross-sectional area and [R2]0 the mean-square end-to-end distance of a freely jointed chain of molecular weight M. The new, computed relationship between the critical number of backbone atoms for entanglement and the chain cross-sectional area of polymers, N(c) = A0,44, is concordant with the cross-sectional area of polymer chains being the parameter controlling the critical entanglement number of backbone atoms of flexible polymers.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126112738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fractal dimensions of polymeric phthalocynines","authors":"G. Knothe","doi":"10.1002/MATS.1992.040010307","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010307","url":null,"abstract":"As a result of their structure, polymeric phthalocyanines have four fractal dimensions for every size/shape/dilation combination. The construction of polymeric phthalocyanines resembles known fractals. A structure model of the polymer is extended. For infinitely large polymeric phthalocyanines, the same limiting value for the fractal dimensions (D = 2) was found to be valid for all structures.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126518617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chain linear dimensions in the surface-enriched layer of polymer mixtures","authors":"Jian-Sheng Wang, K. Binder","doi":"10.1002/MATS.1992.040010201","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010201","url":null,"abstract":"We calculate the mean-square end-to-end distances and mean-square gyration radii using the bond fluctuation model for a binary polymer blend in the presence of a wall by Monte Carlo simulation. In the bulk, the size of the minority, low-concentration polymer species is compressed compared to the majority one. In the vicinity of the wall, where the minority polymer concentration is enriched due to attraction from the wall, the dimensions of the two types of polymers are approximately equal and are essentially the same as in an athermal polymer melt. Thus, the geometric constraint is more important to the structure of the polymers than the polymer-polymer and polymer-wall interactions.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125170142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Anisotropy of local relaxation properties of macromolecules. Spin-lattice relaxation of 13C nuclei, the nuclear overhauser effect and the estimation of parameters of an equivalent ellipsoid for kinetic segments of polymer chains","authors":"Y. Gotlib, I. A. Torchinski, V. Shevelev","doi":"10.1002/MATS.1993.040020102","DOIUrl":"https://doi.org/10.1002/MATS.1993.040020102","url":null,"abstract":"The expressions for the functions of spectral density at different orientations of the components of the internuclear vector with respect to the chain backbone, the frequency dependences of the spin-lattice relaxation time of 13C nuclei (T1C) and the values of the nuclear Overhauser effect (NOE) were obtained for the tetrahedral lattice model of a polymer chain with three-unit kinetic elements. It was shown that peculiar features of the behavior of T1C and NOE reflect the characteristic properties of the spectra of relaxation (correlation) times for “longitudinal” and “transverse” components of the internuclear vector. It was established that in the range of relatively short times of the relaxation spectrum the dynamics of an anisotropic kinetic segment of the chain may be described with the aid of a simple model of an elongated ellipsoid of rotation with an axial ratio of about 10. It is shown that the equivalent-ellipsoid model leads to significant differences from a more specific model of chain dynamics when a broad frequency range is considered.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127045262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Fawcett, Richard A. W. Mee, Frederick V. McBride
{"title":"A Monte‐Carlo study of ring formation during step‐growth polymerization in three dimensions","authors":"A. Fawcett, Richard A. W. Mee, Frederick V. McBride","doi":"10.1002/MATS.1993.040020107","DOIUrl":"https://doi.org/10.1002/MATS.1993.040020107","url":null,"abstract":"The formation of ring and chain molecules during an irreversible step-growth polymerization has been modelled on a three-dimensional twenty six choice cubic lattice, and examined by the Monte-Carlo method. Movements were not allowed in the system in this preliminary study. The limiting value of the extent of reaction was found to be p = 0,9837 (±0,0003), and the number fraction of molecules found to be rings was 0,300 (±0,045), but the weight fraction was much smaller, 0,056 (±0,005).","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117043957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A kinetic tree‐like model of non‐linear alternating copolymerization of monomers with non‐equal reactivities of functional groups and substitution effect","authors":"H. Galina, K. Kaczmarski, B. Para, B. Sanecka","doi":"10.1002/MATS.1992.040010105","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010105","url":null,"abstract":"A kinetic model is presented that can be used to predict moments of size distribution of polymer species in the system where a tri-functional monomer with groups of different reactivity (such as glycerol) reacts irreversibly with a bi-functional monomer with no cycle formation. A Smoluchowski-like equation is used to follow the time evolution of the size distribution of polymer molecules up to the gel point. The results are confronted with calculations made by using the statistical cascade theory. The two methods of calculations give slightly different results. The reasons for the differences are discussed.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128128750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffusion-controlled copolymerization kinetics","authors":"I. Maxwell, Gregory T. Russell","doi":"10.1002/MATS.1993.040020108","DOIUrl":"https://doi.org/10.1002/MATS.1993.040020108","url":null,"abstract":"The Smoluchowski equation is used to derive equations for predicting the values of diffusion controlled propagation and termination rate coefficients in copolymerization. None of the resulting expressions are any more complicated than the analogous homopolymerization results. Diffusion controlled propagation rate coefficients in copolymerization are predicated to depend only very weakly on chain end type, and thus the propagation kinetics of high conversion copolymerizations are expected to be considerably simpler than those of low conversions. In considering termination, expressions for the rate coefficient for termination by ‘reaction diffusion’ are first of all derived. It is possible that under some conditions (for example, high conversions) these expressions describe the overall rate of termination, but in general, overall rates of termination will be determined by rates of center of mass diffusion, which are chain length dependent. For this reason the reaction diffusion results are incorporated into a more general treatment of termination in which chain end motion is both by translational and reaction diffusion; this treatment is envisaged as applying from intermediate conversions onward. Considerable effort is subsequently invested in developing simple descriptions of copolymerization in which rate coefficients (and in particular those for termination) are allowed to be chain length dependent. An important feature of this paper is that for every parameter usilized, a means of associating to it a value appropriate for a real system is discussed; in most cases this association is readily carried out.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124127384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Theory of static scattering from weakly charged copolymers in solution","authors":"M. Benmouna, T. Vilgis, J. François","doi":"10.1002/MATS.1992.040010102","DOIUrl":"https://doi.org/10.1002/MATS.1992.040010102","url":null,"abstract":"The static scattering properties of weakly charged copolymers in solution are investigated. The cases of symmetrical and nonsymmetrical diblocks are considered and various structure factors calculated. The electrostatic interaction is introduced via a combination of the random-phase approximation and the Debye-Huckel approximation. Several cases of charge distributions are considered. In particular, diblock copolymers made of neutral and charged monomers and oppositely charged monomers are considered. All the cases deal with systems in the homogeneous disordered phase where no mesophase structures or micelle formations can be observed.","PeriodicalId":227512,"journal":{"name":"Die Makromolekulare Chemie, Theory and Simulations","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124216034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}