This title appears in the Scientific Report :
2023
Please use the identifier:
http://hdl.handle.net/2128/34210 in citations.
Please use the identifier: http://dx.doi.org/10.1021/acsphyschemau.2c00057 in citations.
Determination of Cooperativity Length in a Glass-Forming Polymer
Determination of Cooperativity Length in a Glass-Forming Polymer
To describe the properties of glass-forming liquids, the concepts of a cooperativity length or the size of cooperatively rearranging regions are widely employed. Their knowledge is of outstanding importance for the understanding of both thermodynamic and kinetic properties of the systems under consi...
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Personal Name(s): | Chua, Yeong Zen |
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Zorn, Reiner (Corresponding author) / Schmelzer, Jürn W. P. / Schick, Christoph / Holderer, Olaf / Zamponi, Michaela | |
Contributing Institute: |
Neutronenstreuung; JCNS-1 Heinz Maier-Leibnitz Zentrum; MLZ JCNS-FRM-II; JCNS-FRM-II JCNS-4; JCNS-4 Neutronenstreuung und biologische Materie; IBI-8 |
Published in: | ACS physical chemistry Au, 3 (2023) 2, S. 172–180 |
Imprint: |
Washington, DC
American Chemical Society
2023
|
DOI: |
10.1021/acsphyschemau.2c00057 |
Document Type: |
Journal Article |
Research Program: |
Jülich Centre for Neutron Research (JCNS) (FZJ) Materials – Quantum, Complex and Functional Materials |
Subject (ZB): | |
Link: |
Get full text OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1021/acsphyschemau.2c00057 in citations.
To describe the properties of glass-forming liquids, the concepts of a cooperativity length or the size of cooperatively rearranging regions are widely employed. Their knowledge is of outstanding importance for the understanding of both thermodynamic and kinetic properties of the systems under consideration and the mechanisms of crystallization processes. By this reason, methods of experimental determination of this quantity are of outstanding importance. Proceeding in this direction, we determine the so-called cooperativity number and, based on it, the cooperativity length by experimental measurements utilizing AC calorimetry and quasi-elastic neutron scattering (QENS) at comparable times. The results obtained are different in dependence on whether temperature fluctuations in the considered nanoscale subsystems are either accounted for or neglected in the theoretical treatment. It is still an open question, which of these mutually exclusive approaches is the correct one. As shown in the present paper on the example of poly(ethyl methacrylate) (PEMA), the cooperative length of about 1 nm at 400 K and a characteristic time of ca. 2 μs determined from QENS coincide most consistently with the cooperativity length determined from AC calorimetry measurements if the effect of temperature fluctuations is incorporated in the description. This conclusion indicates that─accounting for temperature fluctuations─the characteristic length can be derived by thermodynamic considerations from the specific parameters of the liquid at the glass transition and that temperature does fluctuate in small subsystems. |