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Fan Z, Zimmermann J, Ciacchi LC, Fischlschweiger M. Lattice-Cluster-Theory-Informed Cross-Fractionation Chromatography Revealing Degree of Crystallinity of Single Macromolecular Species. ACS Macro Lett 2024; 13:1043-1049. [PMID: 39079010 PMCID: PMC11340020 DOI: 10.1021/acsmacrolett.4c00288] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2024] [Revised: 07/24/2024] [Accepted: 07/25/2024] [Indexed: 08/21/2024]
Abstract
The relationship between macromolecular architecture and crystallization properties is a relevant research topic in polymer science and technology. The average degree of crystallinity of disperse polymers is a well-studied quantity and is accessible by various experimental methods. However, how the different macromolecular species contribute to the degree of crystallinity and, in particular, the relationship between a certain macromolecular architecture and the degree of crystallinity are not accessible today, neither experimentally nor theoretically. Therefore, in this work, a lattice cluster theory (LCT)-informed cross-fractionation chromatography (CFC) approach is developed to access the degree of crystallinity of single and nonlinear macromolecular species crystallizing from solution. The method entangles high-throughput experimental data from CFC with the LCT for semicrystalline polymers to predict the degree of crystallinity of polymer species with different molecular weights and branching. The approach is applied to a linear low-density polyethylene (ethylene/1-octene copolymer) and a high-density polyethylene, which have specific and different bivariate distributions. The degree of crystallinity of individual macromolecular species of these polymer samples is calculated, and the predicted average degree of crystallinity is compared with experimental measurements, thus successfully validating the approach. Furthermore, the average segment length between branches is introduced as a characteristic molecular feature of branched polyethylene, and its relationship with the degree of crystallinity of certain species is established.
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Affiliation(s)
- Zengxuan Fan
- Chair
of Technical Thermodynamics and Energy Efficient Material Treatment,
Institute for Energy Process Engineering and Fuel Technology, Clausthal University of Technology, Agricolastraße 4, 38678 Clausthal-Zellerfeld, Germany
| | - Jana Zimmermann
- Chair
of Technical Thermodynamics and Energy Efficient Material Treatment,
Institute for Energy Process Engineering and Fuel Technology, Clausthal University of Technology, Agricolastraße 4, 38678 Clausthal-Zellerfeld, Germany
| | - Lucio Colombi Ciacchi
- Hybrid
Materials Interface Group, Faculty of Production Engineering, Bremen
Center for Computational Materials Science and MAPEX Center for Materials
and Processes, University of Bremen, 28359 Bremen, Germany
| | - Michael Fischlschweiger
- Chair
of Technical Thermodynamics and Energy Efficient Material Treatment,
Institute for Energy Process Engineering and Fuel Technology, Clausthal University of Technology, Agricolastraße 4, 38678 Clausthal-Zellerfeld, Germany
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Chapman WG, Fouad WA. Activity Coefficients from an Equation of State: Novel Approach for Fast Phase Equilibrium Calculations. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c03800] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Walter G. Chapman
- Department of Chemical and Biomolecular Engineering, Rice University, Houston, Texas 77005, United States
| | - Wael A. Fouad
- Department of Chemical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
- Interdisciplinary Research Center for Refining & Advanced Chemicals, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
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3
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Identifying Pure-Component Parameters of an Analytic Equation of State Using Experimental Surface Tension or Molecular Simulations with a Transferable Force Field. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.8b02528] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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4
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García-Cuéllar AJ, Chapman WG. Theory and simulation of chain molecules with multiple bonding sites in an associating solvent. Mol Phys 2011. [DOI: 10.1080/00268976.2011.599341] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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5
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Tang Y, Stephenson G, Zhao E, Agrawal M, Saha S. Calculations of complex phase equilibrium by equal-area method. AIChE J 2011. [DOI: 10.1002/aic.12588] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Krenz RA, Laursen T, Heidemann RA. The Modified Sanchez−Lacombe Equation of State Applied to Polydisperse Polyethylene Solutions. Ind Eng Chem Res 2009. [DOI: 10.1021/ie801451a] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Ryan A. Krenz
- Department of Chemical and Petroleum Engineering, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, T2N 1N4, Canada, and VLXE, ScionDTU, Diplomvej 376, 2800, Lyngby, Denmark
| | - Torben Laursen
- Department of Chemical and Petroleum Engineering, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, T2N 1N4, Canada, and VLXE, ScionDTU, Diplomvej 376, 2800, Lyngby, Denmark
| | - Robert A. Heidemann
- Department of Chemical and Petroleum Engineering, University of Calgary, 2500 University Drive N.W., Calgary, Alberta, T2N 1N4, Canada, and VLXE, ScionDTU, Diplomvej 376, 2800, Lyngby, Denmark
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Dominik A, Chapman WG, Swindoll RD, Eversdyk D, Jog PK, Srivastava R. Compositional Polydispersity in Linear Low Density Polyethylene. Ind Eng Chem Res 2009. [DOI: 10.1021/ie800982z] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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8
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Tan SP, Adidharma H, Radosz M. Recent Advances and Applications of Statistical Associating Fluid Theory. Ind Eng Chem Res 2008. [DOI: 10.1021/ie8008764] [Citation(s) in RCA: 241] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Sugata P. Tan
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
| | - Hertanto Adidharma
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
| | - Maciej Radosz
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
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Paricaud P, Galindo A, Jackson G. Examining the effect of chain length polydispersity on the phase behavior of polymer solutions with the statistical associating fluid theory (Wertheim TPT1) using discrete and continuous distributions. J Chem Phys 2007; 127:154906. [DOI: 10.1063/1.2772600] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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10
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Behme S, Sadowski G, Song Y, Chen CC. Multicomponent flash algorithm for mixtures containing polydisperse polymers. AIChE J 2006. [DOI: 10.1002/aic.690490124] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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11
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Spyriouni T, Economou IG. Evaluation of SAFT and PC-SAFT models for the description of homo- and co-polymer solution phase equilibria. POLYMER 2005. [DOI: 10.1016/j.polymer.2005.09.001] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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12
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Effect of polymer chain-length polydispersity on the phase behavior of model athermal mixtures of colloids and flexible self-excluding polymers. Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.09.071] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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von Solms N, Michelsen ML, Kontogeorgis GM. Computational and Physical Performance of a Modified PC-SAFT Equation of State for Highly Asymmetric and Associating Mixtures. Ind Eng Chem Res 2003. [DOI: 10.1021/ie020753p] [Citation(s) in RCA: 234] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Nicolas von Solms
- Centre for Phase Equilibria and Separation Processes (IVC-SEP), Department of Chemical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
| | - Michael L. Michelsen
- Centre for Phase Equilibria and Separation Processes (IVC-SEP), Department of Chemical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
| | - Georgios M. Kontogeorgis
- Centre for Phase Equilibria and Separation Processes (IVC-SEP), Department of Chemical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark
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