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Кучанов, С.И.; Zharnikov, Timur

doi:10.1023/a:1023008401138

Cited by 11 publications

(7 citation statements)

References 12 publications

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“…Its correctness can be corroborated only provided the existence of the branching Markov stochastic process is rigorously proved whose realizations are described by the same probability measure as polymer molecules being formed in the course of nonrandom polycondensation. Such a proof has been reported for traditional29 and general23 FSSE models, the latter of them taking into account a monomer RA f configuration.…”

Section: Theorysupporting

confidence: 58%

“…Later, over a long period it has been lively debated in literature whether the statistical method in either of its modifications is applicable to describe the products of irreversible polycondensation of monomers with kinetically dependent functional groups (see review14 and references therein). A rigorously substantiated answer to this question was given in ref 29. whose authors proved the correctness of the statistical method under theoretical consideration of an irreversible polycondensation of monomer RA f described by the traditional FSSE model.…”

Section: Theorymentioning

confidence: 99%

“…whose authors proved the correctness of the statistical method under theoretical consideration of an irreversible polycondensation of monomer RA f described by the traditional FSSE model. The branching process, producing the probability measure on the set of polymer molecules being formed for such a polycondensation, was shown29 to be characterized by a set of reproducing particles of various kinds, each specified by discrete index i (color) and continuous label τ. These particles correspond to the functional groups A i (τ) of kind i which have reacted at moment τ.…”

Section: Theorymentioning

confidence: 99%

See 2 more Smart Citations

The theory of nonrandom polycondensation for the description of sol–gel polymerization of alkoxisilanes

Tarasevich

Кучанов

2007

J Polym Sci B Polym Phys

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The earlier developed theory of nonrandom polycondensation (Kuchanov, et al. J Stat Phys 122, 875, 2006) is applied for the description of sol-gel polymerization of alkoxisilanes. The accuracy of simple approximate approaches used in literature to calculate critical conversion at the gel-point is evaluated. The results of calculation of the characteristics of gel's polymer network governing its elastic properties are presented for the first time. V V C 2007 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 3093-3116, 2007

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Section: Theorysupporting

confidence: 58%

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

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The theory of nonrandom polycondensation for the description of sol–gel polymerization of alkoxisilanes

Tarasevich

Кучанов

2007

J Polym Sci B Polym Phys

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“…As pointed out by other authors, , the minimal model appears to give good approximations for all systems of practical interest. It is also worth mentioning that Kuchanov et al introduced an exact kinetic-statistical method, , that was recently extended to take into account monomer configurational aspects . In this method, reacted functional groups are distinguished by two parameters, “color” i and “label” τ, (τ) denoting a reacted A-group formed at moment τ from a A-group attached to a monomer unit with “ i ” reacted groups.…”

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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“…[61,62] The time dependent spatial correlations of polymer groups can be described through an elegant statistical mathematical formalism involving generating functionals of time and space coordinates. [64] Practical results are mostly limited to polycondensations [63] and its extension to general polymerization schemes is not an easy problem.…”

Section: Prediction Of Average Molecular Radius Of Gyration and Othermentioning

confidence: 99%

Kinetic Modeling of Non‐Linear Polymerization

Costa¹,

Dias²

2006

Macromolecular Symposia

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Summary: Recent developments of a method based upon population balances of generating functions of polymer chain length distributions (CLD) are presented. The calculation of the CLD and how to take into account chain length dependent reactivity are discussed. Prediction of polymer properties is also possible but only easily done for the average molecular radius of gyration; some results are presented for a radical polymerization including transfer to polymer and propagation with terminal double bonds.

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Untitled

Cited by 11 publications

References 12 publications

The theory of nonrandom polycondensation for the description of sol–gel polymerization of alkoxisilanes

The theory of nonrandom polycondensation for the description of sol–gel polymerization of alkoxisilanes

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

Kinetic Modeling of Non‐Linear Polymerization

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