Small-Angle X-Ray and Neutron Scattering by Polymethylene, Polyoxyethylene, and Polystyrene Chains

Yoon, D. Y.; Flory, Paul J.

doi:10.1021/ma60050a022

Cited by 87 publications

(61 citation statements)

References 9 publications

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“…2 2 The method proved to be useful in studying amorphaus glassy polymers (2,22,23) and polymer melts (24,25) as well as for the investigation of polymer mixtures, concentrated solutions and polymer networks. It can also be applied to the study of crystalline polymers and the following part of the paper is concerned with a review of the present results.…”

Section: ) Chain Configuration In Semicrystalline Polymersmentioning

confidence: 99%

Studies of structure and dynamics of solid polymers by elastic and inelastic neutron scattering

Fischer¹

1978

Pure and Applied Chemistry

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(The measurements were carried out partly at the Institute Laue Langevin, Grenoble, and partly at the Kernforschungsanlage Jülich).Abstract -Neutron scattering methods can be applied to solid polymers in order to investigate the structure of the bulkmaterial as well as the nature of the molecular motion. A review of some recently performed studies is presented. Diffusional motion in crystals of chain molecules has been studied by means of quasielastic scattering for the case of n-C 33 H68 as an example for the relationship between structure and molecular motion. It can be shown that below the so-called rotational transition the paraffin crystals exhibit two types of molecular motion: a translational jump (•t = 0.5 10-8 s) and a 180°-rotational jump _8 (•r = 2.5 10 s). The low frequency vibrations in n-alkanes as models of polyethylene have been investigated by means of inelastic incoherent scattering. The longitudinal acoustical mode as well as other lattice vibrations are observed with frequencies, which are in good agreement with the calculations by Kitagawa and Miyazawa. As examples for structure studies the results of neutron scattering of cellulose fibres "stained" by deuterium and of semicrystalline statistical copolymers are mentioned. Further the problern of chain configuration in crystalline polymers is discussed to some extent. It is shown that the preliminary results obtained in various laboratories do not allow a uniform conclusion, but there is overwhelming evidence that in the case of crystallization from the melt the observed scattering curves are inconsistent with the model of adjacent re-entry and regular folds.

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Section: ) Chain Configuration In Semicrystalline Polymersmentioning

confidence: 99%

Studies of structure and dynamics of solid polymers by elastic and inelastic neutron scattering

Fischer¹

1978

Pure and Applied Chemistry

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“…Let us mention analytical treatments exploiting the expression of the polymer partition function (end-to-end distance, total dipole, ...) 1 or the Monte Carlo estimation of the single chain structure factor for rather long polymers requiring modest computational efforts given that the number of conformations is limited and that the chain internal energy grows linearly with the number of bonds. 2 The traditional RIS model is still commonly used today; however, doubts about the quantitative predictability of models restricted to local interactions are growing. An example is provided by the intermodel contradictions for the mean dimensions of a vinyl polymer like polypropylene at the Θ-point.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo Prediction of the Structure Factor of Polyethylene in Good and ϑ-Solvents

1996

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Using Monte Carlo techniques on a united atom model of polyethylene, we predict the structure factor of a single polymer chain g(q) at all length scales for Θ and good solvent conditions. The solvent quality is included in the nonlocal monomer-monomer potential of mean force through an ad hoc parameter controlling the balance between repulsive and attractive contributions. Chains up to 4096 C-C bonds have been treated to get, in the "intermediate" regime of q, the well-established scaling law g(q) ) Aq -1/ν where ν is the Flory exponent depending upon the quality of the solvent. For the q range above the scaling regime, the flexible rod model of Porod-Kratky is found to apply satisfactorily.

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“…Figure 12 shows neutron scattering curves of random poly(oxymethylenedioxolane) with a dioxolane content of 2.5%. The intensity of the The method proved to be useful in studying amorphous glassy polymers (2,22,23) and polymer melts (24,25) as well as for the investigation of polymer mixtures, concentrated solutions and polymer networks. It can also be applied to the study of crystalline polymers and the following part of the paper is concerned with a review of the present results.…”

Section: ) Morphological Studies Of Semicrystalline Polymers By Meanmentioning

confidence: 99%

Studies of Structure and Dynamics of Solid Polymers by Elastic and Inelastic Neutron Scattering

Fischer

1979

Macromolecular Chemistry

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Small-Angle X-Ray and Neutron Scattering by Polymethylene, Polyoxyethylene, and Polystyrene Chains

Cited by 87 publications

References 9 publications

Studies of structure and dynamics of solid polymers by elastic and inelastic neutron scattering

Studies of structure and dynamics of solid polymers by elastic and inelastic neutron scattering

Monte Carlo Prediction of the Structure Factor of Polyethylene in Good and ϑ-Solvents

Studies of Structure and Dynamics of Solid Polymers by Elastic and Inelastic Neutron Scattering

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