### Abstract

In this series of papers new results and a brief review of the current state of mean-field theories of the condensed globular state and of the globule-to-coil transition in the θ-region for a linear, homogeneous, noncharged macromolecule are presented. As a basis of our consideration, we use both Lifshitz's theory and interpolation Flory-type theory. Complete quantitative theoretical results are obtained and compared with experimental data. In this first paper of the series the unary characteristics of a polymer chain are considered. It is shown that the density distribution of monomers inside a globule depends on parameters of a polymer-solvent system in the combination t = N^{1/2}BC^{-14}(a^{2}/6)^{-3/4} ∼ N^{1/2}(T - θ)/θ only (a stands for the distance between neighboring links along the chain, N is the total number of links in the chain, T stands for temperature, and B and C are the second and third virial coefficients of quasimonomer interactions, respectively). The form of the t-dependence (or of the (T - θ)N^{1/2}-dependence) of a macromolecule expansion factor is determined by the polymer rigidity parameter √C/a^{3}. The question of the bimodality of macromolecular states in the transition region is discussed.

Original language | English (US) |
---|---|

Pages (from-to) | 1970-1979 |

Number of pages | 10 |

Journal | Macromolecules |

Volume | 25 |

Issue number | 7 |

State | Published - 1992 |

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### ASJC Scopus subject areas

- Materials Chemistry

### Cite this

*Macromolecules*,

*25*(7), 1970-1979.

**Quantitative theory of the globule-to-coil transition. 1. Link density distribution in a globule and its radius of gyration.** / Grosberg, A. Yu; Kuznetsov, D. V.

Research output: Contribution to journal › Article

*Macromolecules*, vol. 25, no. 7, pp. 1970-1979.

}

TY - JOUR

T1 - Quantitative theory of the globule-to-coil transition. 1. Link density distribution in a globule and its radius of gyration

AU - Grosberg, A. Yu

AU - Kuznetsov, D. V.

PY - 1992

Y1 - 1992

N2 - In this series of papers new results and a brief review of the current state of mean-field theories of the condensed globular state and of the globule-to-coil transition in the θ-region for a linear, homogeneous, noncharged macromolecule are presented. As a basis of our consideration, we use both Lifshitz's theory and interpolation Flory-type theory. Complete quantitative theoretical results are obtained and compared with experimental data. In this first paper of the series the unary characteristics of a polymer chain are considered. It is shown that the density distribution of monomers inside a globule depends on parameters of a polymer-solvent system in the combination t = N1/2BC-14(a2/6)-3/4 ∼ N1/2(T - θ)/θ only (a stands for the distance between neighboring links along the chain, N is the total number of links in the chain, T stands for temperature, and B and C are the second and third virial coefficients of quasimonomer interactions, respectively). The form of the t-dependence (or of the (T - θ)N1/2-dependence) of a macromolecule expansion factor is determined by the polymer rigidity parameter √C/a3. The question of the bimodality of macromolecular states in the transition region is discussed.

AB - In this series of papers new results and a brief review of the current state of mean-field theories of the condensed globular state and of the globule-to-coil transition in the θ-region for a linear, homogeneous, noncharged macromolecule are presented. As a basis of our consideration, we use both Lifshitz's theory and interpolation Flory-type theory. Complete quantitative theoretical results are obtained and compared with experimental data. In this first paper of the series the unary characteristics of a polymer chain are considered. It is shown that the density distribution of monomers inside a globule depends on parameters of a polymer-solvent system in the combination t = N1/2BC-14(a2/6)-3/4 ∼ N1/2(T - θ)/θ only (a stands for the distance between neighboring links along the chain, N is the total number of links in the chain, T stands for temperature, and B and C are the second and third virial coefficients of quasimonomer interactions, respectively). The form of the t-dependence (or of the (T - θ)N1/2-dependence) of a macromolecule expansion factor is determined by the polymer rigidity parameter √C/a3. The question of the bimodality of macromolecular states in the transition region is discussed.

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M3 - Article

VL - 25

SP - 1970

EP - 1979

JO - Macromolecules

JF - Macromolecules

SN - 0024-9297

IS - 7

ER -