The concentration dependence of the chain dimensions of cubic
The Concentration Dependence of the Chain Dimensions of Cubic Lattice. Model Chains under @-Conditions. Oskar Friedrich Olaj und Kurt Heinz Pelinka.
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Dimension and Shape of Model Chains as a Function of Their
Carlo-generated cubic lattice model chains, the variation of the squared radius ... the coefficients of the dependence of average dimensions on concentration in ...
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Concentration Dependence of the Mean Dimension of a Polymer
Concentration Dependence of the Mean Dimension of a Polymer. Chain. E. De Veda and A. ... computer simulations of the familiar lattice model of solu- tions; we then attempt to ... athermal polymer solutions on a simple cubic lattice, for.
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POLYMER SOLUTIONS
1.2.3.2 Dimensions of Chains with Short-Range Interactions. 19 ... 2.2.1.1 Lattice Chain Model. 70. 2.2.1.2 Entropy of .... 3.2.11.3 Concentration Dependence of the ..... In three dimensions, a cubic lattice is frequently used and also a diamond ...
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Concentration Dependence of Equilibrium Chain Properties in
ABSTRACT The concentration dependence of single-chain equilibrium properties such as the ... is due, in the first order in concentration, to the deformation of the labeled chain, both in size and in shape, .... discrepancy between 4-way and 5-way cubic lattice results .... exp(-U(R)/kBT) with a uniform- sphere model for the in-.
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Miscibility behavior and single chain properties in polymer blends: a
chain length limit, when the χ parameter is identified via the intermolecular pair correlation function. ... The initial reaction rate for small reactant concentrations ... According to the original lattice model of Flory and Huggins ... an enthalpic part difficult: e.g., the temperature dependence of the chain conformations or equation ...
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Concentration Dependence of Excluded Volume Effects
Jul 3, 2011 ... The concentration dependence of the excluded volume effects in ... the same chain, so that the classic theory is constructed on the basis of the ... Let us consider the three dimensional lattice where a site may be .... Note that for any fluctuation model of polymer solutions, we can .... simple cubic lattice.
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Critical Micelle Concentration in Three Dimensional Lattice Models
this letter we report the results of a detailed investigation of the dependence ... temperature and chain length carried out in various lattice models that are .... are con fi ned to a 3 dimensional (3 D ) cubic lattice of si z e L . I n this model an ...
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Lattice model of oligonucleotide hybridization in solution. I. Model
Nov 2, 2011 ... The model, based on a high-coordination cubic lattice, is simple enough to allow the di- ... For strands with sequence-dependent pairing corresponding to that of DNA, .... III B–III D, the effect of concentration, chain length,.
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Coil Dimensions as a Function of Concentration
Aug 1, 2012 ... Key Words: Dimensions of Polystyrene Chain/ Excluded Volume Effects/ Concentration Dependence/. 1 Introduction ... We introduce the lattice model to calculate the integral term: ... According to the preceding work, polymer molecules are arranged on the sites of the simple cubic lattice having the unit ...
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AN IDEAL POLYMER CHAIN IN ARBITRARY DIMENSIONS NEAR
model of this system in 3D was considered by Rubin [4] in case of an ideal polymer ... fraction of monomers at the substrate and the concentration profile of mono- mers as ... interesting, nontrivial dependence on the dimension d of the lattice. These ... We consider a single polymer chain in a d-dimensional hypercubic lattice.
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Lattice Theories for Polymer/Small-Molecule Mixtures - Chemical
Pressure dependence of the partial molar volume of the solvent was neglected in the ... The polymer concentration in aqueous solution CPolymer, with dimensions of grams solute ... Lattice models for athermal mixtures with excluded volume. .... chain molecules, where a mole is based on the molecular weight of the entire ...
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Temperature and concentration dependence of diffusion coefficient
Dec 30, 1980 ... The concentration dependence of the self-diffusion coefficient is also discussed. INTRODUCTION ... previous results follow as special model calculations. Secondly, the ... of an increase in the chain dimensions of two overlapping molecules. ...... with B~0.2 and o2~ for g-way cubic lattice under 0- condition ...
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Coarse-grained models for macromolecular systems - Collection SFN
substitution ratio and concentration. 1. WHY USE ... This relaxation time NP scales with the chain length as NP ∝ N2. P for .... It can be seen as an intermediate between cubic lattice models and continuum models, since the bond between ..... from the energy dependence of Rg, see Figure 5), several features can be noticed.
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PRB 36, 8649 - Soukoulis' Research Group - Iowa State University
Dec 1, 1987 ... simple cubic lattice, the dependence of the mobility edge on the strength of the site energy is ob- tained. Exactly at ... mobility edge trajectory in the concentration —energy plane for ... chains of length N, one determines the largest localiza- tion length ... disordered tight-binding models in 3D with a rectangu-.
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Systems of many chains: Polymer melts and solutions (the minimal
an “ideal chain” is its only relevant length-scale, which always plays the major (if not unique) role if ... The exponent ν governing the dependence of R on N is ... the concentration of molecules (number of molecules per unit volume), c. cN. = φ ... This is a lattice model, in which the sites of a cubic lattice can either be occupied.
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Pressure Effects on Lipidic Direct Phases: The Dodecyl - ESRF
hexagonal phase to the micellar Pm3n cubic phase in hydrated samples (c between 0.5 and 0.6, c being the weight ... model based on curvature elastic contributions, we demonstrated ... an alkyl chain length dependence for ionic surfactants, suggested ..... Concentration dependence of the lattice parameter variation.
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Two-chamber lattice model for thermodiffusion in polymer - Physics
Aug 1, 2003 ... Two-chamber lattice model for thermodiffusion in polymer solutions ... We also investigate the temperature dependence of the Soret ... such as PEO in a mixed solvent, concentration gradients and .... We consider a simple cubic lattice of N sites. ... For polymers in dilute solutions, the chain dimensions.
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conformational properties of linear polymers at a porous interface
Sep 5, 2003 ... by scaling laws as function of e.g. chain length and concentration.30 .... When polymers are dissolved in a Θ-solution this concentration dependence does ..... Monte Carlo simulations of polymers cubic lattice models are used.
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full text - pdf 356 kB - iupac
change in the segment concentration, nor does it lead to solvent expulsion. Thus ... length of the linear chain elements within one given sample be as small as possible .... Equilibrium degree of swelling of polystyrene model networks. Type A ..... Let us use, as a first example, a simple cubic lattice to schematize a net- work.
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