Polymer-polymer interaction parameters by inverse gas chromatography: A novel molecular interpretation of non-random partitioning of solvent probes in polymer blends

Zhanjie Tan, Z. Tan, Gyula J. Vancso

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Abstract

Non-random partitioning of molecular probes in a polymeric mixture was examined with Kirkwood-Buff-Zimm (KBZ) cluster integrals. Equations were derived to give relationships of thermodynamic quantities that can be obtained by using inverse gas chromatography (IGC). The mer-mer correlation structure factor S*(AB) (0) in a binary mixture of polymers A and B in terms of the spatial distribution of a probe, S, around a molecule A and a molecule B is discussed. The derivation allows a direct assessment of the correlation structure factor obtained either from scattering experiments or from IGC measurements. The common polymer-polymer interaction parameter from the two types of experiments is discussed with respect to criticism concerning IGC. The detailed molecular description of the probe behavior in a polymeric mixture at infinite dilution of the probe given in this work can be used in IGC studies of the microstructure of polymer mixtures or other mixtures of liquids. In order to illustrate our approach, the structure factor and the interaction parameter of the blends of polystyrene (A) and poly(butyl methacrylate) (B) were evaluated using IGC results of DiPaola-Baranyi and Degre.
Original languageUndefined
Pages (from-to)467-478
JournalMacromolecular theory and simulations
Volume6
Issue number6
DOIs
Publication statusPublished - 1997

Keywords

  • IR-71362
  • METIS-105721

Cite this

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title = "Polymer-polymer interaction parameters by inverse gas chromatography: A novel molecular interpretation of non-random partitioning of solvent probes in polymer blends",
abstract = "Non-random partitioning of molecular probes in a polymeric mixture was examined with Kirkwood-Buff-Zimm (KBZ) cluster integrals. Equations were derived to give relationships of thermodynamic quantities that can be obtained by using inverse gas chromatography (IGC). The mer-mer correlation structure factor S*(AB) (0) in a binary mixture of polymers A and B in terms of the spatial distribution of a probe, S, around a molecule A and a molecule B is discussed. The derivation allows a direct assessment of the correlation structure factor obtained either from scattering experiments or from IGC measurements. The common polymer-polymer interaction parameter from the two types of experiments is discussed with respect to criticism concerning IGC. The detailed molecular description of the probe behavior in a polymeric mixture at infinite dilution of the probe given in this work can be used in IGC studies of the microstructure of polymer mixtures or other mixtures of liquids. In order to illustrate our approach, the structure factor and the interaction parameter of the blends of polystyrene (A) and poly(butyl methacrylate) (B) were evaluated using IGC results of DiPaola-Baranyi and Degre.",
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author = "Zhanjie Tan and Z. Tan and Vancso, {Gyula J.}",
year = "1997",
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language = "Undefined",
volume = "6",
pages = "467--478",
journal = "Macromolecular theory and simulations",
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TY - JOUR

T1 - Polymer-polymer interaction parameters by inverse gas chromatography: A novel molecular interpretation of non-random partitioning of solvent probes in polymer blends

AU - Tan, Zhanjie

AU - Tan, Z.

AU - Vancso, Gyula J.

PY - 1997

Y1 - 1997

N2 - Non-random partitioning of molecular probes in a polymeric mixture was examined with Kirkwood-Buff-Zimm (KBZ) cluster integrals. Equations were derived to give relationships of thermodynamic quantities that can be obtained by using inverse gas chromatography (IGC). The mer-mer correlation structure factor S*(AB) (0) in a binary mixture of polymers A and B in terms of the spatial distribution of a probe, S, around a molecule A and a molecule B is discussed. The derivation allows a direct assessment of the correlation structure factor obtained either from scattering experiments or from IGC measurements. The common polymer-polymer interaction parameter from the two types of experiments is discussed with respect to criticism concerning IGC. The detailed molecular description of the probe behavior in a polymeric mixture at infinite dilution of the probe given in this work can be used in IGC studies of the microstructure of polymer mixtures or other mixtures of liquids. In order to illustrate our approach, the structure factor and the interaction parameter of the blends of polystyrene (A) and poly(butyl methacrylate) (B) were evaluated using IGC results of DiPaola-Baranyi and Degre.

AB - Non-random partitioning of molecular probes in a polymeric mixture was examined with Kirkwood-Buff-Zimm (KBZ) cluster integrals. Equations were derived to give relationships of thermodynamic quantities that can be obtained by using inverse gas chromatography (IGC). The mer-mer correlation structure factor S*(AB) (0) in a binary mixture of polymers A and B in terms of the spatial distribution of a probe, S, around a molecule A and a molecule B is discussed. The derivation allows a direct assessment of the correlation structure factor obtained either from scattering experiments or from IGC measurements. The common polymer-polymer interaction parameter from the two types of experiments is discussed with respect to criticism concerning IGC. The detailed molecular description of the probe behavior in a polymeric mixture at infinite dilution of the probe given in this work can be used in IGC studies of the microstructure of polymer mixtures or other mixtures of liquids. In order to illustrate our approach, the structure factor and the interaction parameter of the blends of polystyrene (A) and poly(butyl methacrylate) (B) were evaluated using IGC results of DiPaola-Baranyi and Degre.

KW - IR-71362

KW - METIS-105721

U2 - 10.1002/mats.1997.040060211

DO - 10.1002/mats.1997.040060211

M3 - Article

VL - 6

SP - 467

EP - 478

JO - Macromolecular theory and simulations

JF - Macromolecular theory and simulations

SN - 1022-1344

IS - 6

ER -