Configurational Effects in Statistical Theory of Branched Non-Random Polycondensation

Кучанов, С.И.; Tarasevich, Konstantin V.; Zharnikov, Timur

doi:10.1007/s10955-005-9016-4

Cited by 8 publications

(22 citation statements)

References 19 publications

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“…A generic model of self‐assembling chains that includes branching and network formation of arbitrary functionality has been presented using a mean‐field approach 5. A statistical theory of regular (non‐random) polycondensation has also been published 6. Average sizes and conformations can be calculated.…”

Section: Introductionmentioning

confidence: 99%

Small‐Angle Scattering From Branched Polymers

Hammouda

2012

Macro Theory & Simulations

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The single-polymer form factor is determined for branched polymers using a scaling argument in order to recover the low-Q Porod exponent characteristic of the overall structure. The high-Q Porod exponent characterizes the local branching structure. An alternative approach based on a high-Q expansion contains information about functionality, branch length and branch content. The specific case of a starburst dendrimer for which the form factor is known is discussed. The model predictions are compared to small-angle neutron scattering data from a dilute solution of dendrimer in D 2 O.

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Section: Introductionmentioning

confidence: 99%

Small‐Angle Scattering From Branched Polymers

Hammouda

2012

Macro Theory & Simulations

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“…It is also worth mentioning that Kuchanov et al introduced an exact kinetic-statistical method, 23,24 that was recently extended to take into account monomer configurational aspects. 25 In this method, reacted functional groups are distinguished by two parameters, "color" i and "label" τ, A i (τ) denoting a reacted A-group formed at moment τ from a A-group attached to a monomer unit with "i" reacted groups. Given these parameters, it is possible to calculate the statistical characteristics of branched polymers via the theory of general branching processes.…”

Section: Introductionmentioning

confidence: 99%

First Shell Substitution Effects in Hyperbranched Polymers: Kinetic−Recursive Probability Analysis

Fradet

Tessier

2007

Macromolecules

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The kinetic-probability approach taking into account first shell substitution effects (FSSE) is applied to hyperbranched condensation polymerizations. Simple explicit relationships giving the mass-average molar mass (M w ) and mass-average degree of polymerization (X w ) as a function of conversion, of initial monomer mixture composition and of polymer architecture at a given reaction time are derived using the "in-out" recursive probability approach. Three experimentally available parameters, the A-, B-, and AB-branching factors (δ A , δ B , and δ AB ) are introduced to describe polymer branching. δ B generalizes Frey's degree of branching to polymerizations involving any type of monomer mixture and can directly be used to calculate polymer M w . δ AB characterizes the substitution effects induced on A-group reactivity by the reaction of B-groups (and vice versa). This effect, generally neglected in hyperbranched polymerization studies, may exert a dramatic influence on hyperbranched polymer dispersity (M w /M n ). Two systems, AB f polymerizations and AB f + B g polymerizations, are taken as examples and discussed to illustrate the method. The polymerizations of 2,2-bis(hydroxymethyl)propanoic acid (BMPA) (AB 2 polymerization) and of BMPA with Pentaerythritol (AB 2 + B 4 polymerization) are more specifically studied. The results are compared to experimental data, showing that negative FSSE involving both OH and COOH groups take place, leading to much lower dispersities and branching factors than expected for ideal (random) polymerizations. The method can be extended to any type of condensation polymerizations.

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“…This interpretation proves to be quite useful in the prediction of elastic properties of polymer networks [14,15] and of average properties of branched molecules.…”

Section: The Statistics Of the Configurational Structure Of Branched mentioning

confidence: 87%

“…This leads to Eq. (15) yielding the z-average radius of gyration of the whole population and all conformations (denoted by an overline symbol), where the RUs have been supposed to have an equal molecular mass: (15) where w m is the mass fraction of species P m . The function u(s) satisfies Eq.…”

Section: The Prediction Of Physical Properties Of Branched Polymers Dmentioning

confidence: 99%

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Prediction of mean square radius of gyration of tree-like polymers by a general kinetic approach

Costa

Dias

2007

Polymer

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This paper describes a kinetic method to predict the z-average molecular mean square radius of gyration of tree-like polymers formed by irreversible reactions, assuming Gaussian chains. It is based on the population balance equations for the two-sided molecular distributions of pendant chains associated with every chemically distinguishable kind of bonds. An automated method for the solution of those equations is valid both before as well as after gelation for complex kinetic schemes. Examples of its use are presented with polycondensation systems leading to hyperbranched polymers, the anionic polymerization of mono-and divinyl monomers and a radical polymerization with terminal branching and transfer to polymer.

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Configurational Effects in Statistical Theory of Branched Non-Random Polycondensation

Cited by 8 publications

References 19 publications

Small‐Angle Scattering From Branched Polymers

Small‐Angle Scattering From Branched Polymers

First Shell Substitution Effects in Hyperbranched Polymers: Kinetic−Recursive Probability Analysis

Prediction of mean square radius of gyration of tree-like polymers by a general kinetic approach

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