Invariant Property of the Distribution of Aa1, …, Aas - Bb1, …, Bbt-Type Ideal Polymerization

X. C. Xiao; Z. S. Li; C. C. Sun; A. C. Tang

doi:10.1021/ma00112a020

Invariant Property of the Distribution of A_a₁, …, A_{a_s} - B_b₁, …, B_{b_t}-Type Ideal Polymerization

X. C. Xiao^*, Z. S. Li, C. C. Sun, A. C. Tang

^*Corresponding author for this work

Jilin University

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In the nonlinear polymerizations, the equilibrium number fraction distribution may have a commonly invariant property. This invariant property is revealed by taking the A_a₁, …, A_{a_s} - B_b₁, …, B_{b_t}-type reaction proposed by Stockmayer as an example to yield an outcome that under the transformation between the variables for describing the total system and the variables for describing the sol, the distribution is left invariant. This invariant property may lead to the fact that the average polymer quantities for the postgel can be easily obtained from the corresponding quantities for the pregel via a simple replacement of the variables for the pregel by the sol variables for the postgel. For illustration, the kth radius of the A_a₁, …, A_{a_s} - B_b₁, …, B_{b_t}-type polymerization is discussed.

Original language	English
Pages (from-to)	2738-2744
Number of pages	7
Journal	Macromolecules
Volume	28
Issue number	8
DOIs	https://doi.org/10.1021/ma00112a020
Publication status	Published - 1 Apr 1995
Externally published	Yes

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title = "Invariant Property of the Distribution of Aa1, …, Aas - Bb1, …, Bbt-Type Ideal Polymerization",

abstract = "In the nonlinear polymerizations, the equilibrium number fraction distribution may have a commonly invariant property. This invariant property is revealed by taking the Aa1, …, Aas - Bb1, …, Bbt-type reaction proposed by Stockmayer as an example to yield an outcome that under the transformation between the variables for describing the total system and the variables for describing the sol, the distribution is left invariant. This invariant property may lead to the fact that the average polymer quantities for the postgel can be easily obtained from the corresponding quantities for the pregel via a simple replacement of the variables for the pregel by the sol variables for the postgel. For illustration, the kth radius of the Aa1, …, Aas - Bb1, …, Bbt-type polymerization is discussed.",

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AU - Tang, A. C.

PY - 1995/4/1

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N2 - In the nonlinear polymerizations, the equilibrium number fraction distribution may have a commonly invariant property. This invariant property is revealed by taking the Aa1, …, Aas - Bb1, …, Bbt-type reaction proposed by Stockmayer as an example to yield an outcome that under the transformation between the variables for describing the total system and the variables for describing the sol, the distribution is left invariant. This invariant property may lead to the fact that the average polymer quantities for the postgel can be easily obtained from the corresponding quantities for the pregel via a simple replacement of the variables for the pregel by the sol variables for the postgel. For illustration, the kth radius of the Aa1, …, Aas - Bb1, …, Bbt-type polymerization is discussed.

AB - In the nonlinear polymerizations, the equilibrium number fraction distribution may have a commonly invariant property. This invariant property is revealed by taking the Aa1, …, Aas - Bb1, …, Bbt-type reaction proposed by Stockmayer as an example to yield an outcome that under the transformation between the variables for describing the total system and the variables for describing the sol, the distribution is left invariant. This invariant property may lead to the fact that the average polymer quantities for the postgel can be easily obtained from the corresponding quantities for the pregel via a simple replacement of the variables for the pregel by the sol variables for the postgel. For illustration, the kth radius of the Aa1, …, Aas - Bb1, …, Bbt-type polymerization is discussed.

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Invariant Property of the Distribution of A_a₁, …, A_{a_s} - B_b₁, …, B_{b_t}-Type Ideal Polymerization

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