Macromolecular Reaction Engineering最新文献

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Modeling and Parameter Estimation for Gas-Phase Polyethylene Product Properties Using Dynamic and Steady-State Data 使用动态和稳态数据的气相聚乙烯产品性能建模和参数估计
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2023-01-15 DOI: 10.1002/mren.202200067
Lauren A. Gibson, Yan Jiang, Timothy Boller, Hsu Chiang, Kimberley B. McAuley
{"title":"Modeling and Parameter Estimation for Gas-Phase Polyethylene Product Properties Using Dynamic and Steady-State Data","authors":"Lauren A. Gibson,&nbsp;Yan Jiang,&nbsp;Timothy Boller,&nbsp;Hsu Chiang,&nbsp;Kimberley B. McAuley","doi":"10.1002/mren.202200067","DOIUrl":"10.1002/mren.202200067","url":null,"abstract":"<p>Models are developed for gas-phase ethylene/1-hexene copolymerization using a 3-site hafnocene catalyst. The models accurately predict joint molecular weight distribution and copolymer composition data for 15 semibatch lab-scale copolymerization runs and 6 steady-state pilot-plant copolymerization runs, respectively. Kinetic rate constants and activation energies, which are common to both models, are estimated for the three types of active sites for each reaction in the kinetic scheme. Using parameter subset selection and estimation techniques, it is found that 34 of the 61 parameters should be estimated from the data. Incorporating the pilot-plant data allow for estimation of two parameters, a deactivation rate constant and a <i>β</i>-hydride elimination activation energy, that are not estimable using the lab-scale data alone. At the 95% confidence level, 25 of the 34 parameters are significantly different than zero, which is more than the 19 significant parameter estimates obtained from the lab-scale data alone. Good fits to the data are obtained, as are reliable predictions for a validation run not used in parameter estimation.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43584301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Functionalization of Polymer Networks to Target Trans-Resveratrol in Winemaking Residues Supported by Statistical Design of Experiments 基于统计设计的葡萄酒残留物中反式白藜芦醇聚合物网络功能化研究
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2023-01-07 DOI: 10.1002/mren.202200076
Amir Bzainia, Rolando C. S. Dias, Mário Rui P. F. N. Costa
{"title":"Functionalization of Polymer Networks to Target Trans-Resveratrol in Winemaking Residues Supported by Statistical Design of Experiments","authors":"Amir Bzainia,&nbsp;Rolando C. S. Dias,&nbsp;Mário Rui P. F. N. Costa","doi":"10.1002/mren.202200076","DOIUrl":"10.1002/mren.202200076","url":null,"abstract":"<p>The present work aims to produce  functionalized polymer networks to target the bioactive molecule trans-resveratrol found in winemaking residues, specifically at grape stems. The synergistic choice of photoinitiation, polymerization composition, and molecular imprinting approach allows the functionalization of these materials. Experimental design is applied to methodically perform the syntheses. The amount of crosslinker, the total monomer's concentration, and the ratio of trans-resveratrol to the functional monomer 4-vinylpyridine (4VP) are the factors selected for this experimental design. The binding capacities and the selectivity of the synthesized materials are assessed through sorption experiments in acetonitrile and hydroalcoholic media. Consequently, a multivariate linear regression analysis leads to describe the uptake of trans-resveratrol by the materials in both media. The crosslinker content and the ratio of trans-resveratrol to 4VP are found to be impactful parameters while designing such materials. These studies allow the identification of working conditions for sorption/desorption processes combining a high retention capability of the adsorbents with selectivity. Furthermore, four materials are selected to enrich trans-resveratrol from grape stems extracts in a continuous process of solid-phase extraction. The results show that the functionalized materials are able to enrich 12-fold the content of trans-resveratrol in some fractions demonstrating the interest of such polymers.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202200076","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47238157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Current Status and Perspectives on the Green Synthesis of Succinic Polyesters for Value-Added Applications 绿色合成琥珀酸聚酯的现状与展望
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-31 DOI: 10.1002/mren.202200061
Fernando Elias Gucker, Claudia Sayer, Débora de Oliveira, Pedro H. Hermes de Araújo, Bruno Francisco Oechsler
{"title":"Current Status and Perspectives on the Green Synthesis of Succinic Polyesters for Value-Added Applications","authors":"Fernando Elias Gucker,&nbsp;Claudia Sayer,&nbsp;Débora de Oliveira,&nbsp;Pedro H. Hermes de Araújo,&nbsp;Bruno Francisco Oechsler","doi":"10.1002/mren.202200061","DOIUrl":"10.1002/mren.202200061","url":null,"abstract":"<p>Polybutylene succinate (PBS) and other succinic (co)polyesters are biodegradable polymers with favorable mechanical and thermal properties that find use in many applications. Due to environmental concerns, polymers based on succinic acid (SA) have been gaining attention, as SA can be produced through biotechnological processes. Thus, this review aims to highlight the synthesis and characteristics of PBS and other succinic copolyesters, with emphasis in the works employing metallic catalysts and enzymes. In addition, the modification of the macromolecular structure by copolymerization or postpolymerization is also discussed. Currently, metallic catalysts are normally used in the synthesis of these materials, under conditions of high temperatures, which can favor the occurrence of thermal degradation, increasing the dispersion of chain length distributions. Moreover, the incrustation of metallic catalysts in polymeric materials makes their application in biomedical products difficult, due to toxicity requirements. In this context, enzymatic catalysis is gaining ground, offering milder synthesis temperatures, high selectivity, and uniformity of synthesized products. This biotechnological route can substitute oligomerization processes with metallic catalysis in future industrial processes, producing materials free from metallic contamination. In addition to production by catalytic routes, trends for future applications of succinic (co)polyesters are presented, with emphasis on the value-added materials sectors.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46819122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Virtual Analyzers for MI and Density Based on Neural Networks Improved through an Integrated Strategy Involving a Constructive Algorithm and Definition of Initial Weights 基于神经网络的MI和密度虚拟分析器,采用一种包含构造性算法和初始权值定义的集成策略进行改进
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-24 DOI: 10.1002/mren.202200066
Adilton Lopes da Silva, Cristiano Hora Fontes, Marcelo Embiruçu
{"title":"Virtual Analyzers for MI and Density Based on Neural Networks Improved through an Integrated Strategy Involving a Constructive Algorithm and Definition of Initial Weights","authors":"Adilton Lopes da Silva,&nbsp;Cristiano Hora Fontes,&nbsp;Marcelo Embiruçu","doi":"10.1002/mren.202200066","DOIUrl":"10.1002/mren.202200066","url":null,"abstract":"<p>This work presents the development and validation of two virtual analyzers (density and Melt Index (MI)) for quality monitoring and control of the final product in an industrial unit of Linear Polyethylene (LPE). Both models are based on Feedforward Neural Networks which are improved through a strategy involving the initial estimation of weights and a constructive algorithm to define the number of hidden units. The initialization strategy is based on linearization of the neural model with only one hidden unit (nonlinear model) and subsequent optimization of this model by maximizing its similarity to the standard linear regression model whose solution is obtained analytically. The Initial Neural Model (INM) is then used as a starting point for a gradual increase in the number of hidden units. In a validation test involving MI and density values collected over 2 years of operation, the neural model is able to predict these properties with mean percentage errors equal to 0.81% (MI) and 0.04% (density) and determination coefficients equal to 0.970 (MI) and 0.983 (density). The population coefficient estimated in all tests involving grade transitions (0.96) shows a strong linear correlation between the proposed model and laboratory measurements.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43151280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Macromol. React. Eng. 6/2022 Macromol.React.Eng.6/2022
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-16 DOI: 10.1002/mren.202270011
{"title":"Macromol. React. Eng. 6/2022","authors":"","doi":"10.1002/mren.202270011","DOIUrl":"https://doi.org/10.1002/mren.202270011","url":null,"abstract":"<p><b>Front Cover</b>: Kinetic study of multi-step bulk-/gas-phase polymerization for synthesis of heterophasic polypropylene copolymers. Power compensation calorimetry is used for studying kinetics of bulkphase polymerization, while for gas-phase polymerization, kinetic data is obtained from semi-batch operation at constant conditions. The combination of both methods allows to precisely control the heterophasic copolymers formed. This is reported by Sina Valaei and Michael Bartke in article number 2200018.\u0000\u0000 <figure>\u0000 <div><picture>\u0000 <source></source></picture><p></p>\u0000 </div>\u0000 </figure></p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202270011","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134806654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Masthead: Macromol. React. Eng. 6/2022 刊头:Macromol.React.Eng.6/2022
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-16 DOI: 10.1002/mren.202270012
{"title":"Masthead: Macromol. React. Eng. 6/2022","authors":"","doi":"10.1002/mren.202270012","DOIUrl":"https://doi.org/10.1002/mren.202270012","url":null,"abstract":"","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202270012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134806655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Commemorating Timothy McKenna's 60th Birthday 纪念蒂莫西·麦肯纳60岁生日
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-16 DOI: 10.1002/mren.202200047
João B. P. Soares
{"title":"Commemorating Timothy McKenna's 60th Birthday","authors":"João B. P. Soares","doi":"10.1002/mren.202200047","DOIUrl":"10.1002/mren.202200047","url":null,"abstract":"<p>I am pleased to celebrate the 60<sup>th</sup> birthday of our colleague and friend, Tim McKenna, in this special issue of <i>Macromolecular Reaction Engineering</i> (<i>MRE</i>). I am also thrilled that I am not the only one to reach this milestone, even though I preceded him by a couple of years. Welcome to the club, old man.</p><p>The number and scope of articles submitted to this special <i>MRE</i> issue reflect Tim's many accomplishments in polymer reaction engineering. Tim is the Director of Research of CP2M/CNRS and a Professor at CPE-Lyon in Villeurbanne, France. Tim's research program applies chemical engineering tools to understand, quantify, and control polymerization reactors, focusing on polyolefins and specialized latex products. He has published 269 peer-reviewed articles, 12 book chapters, 1 authored book, and is listed as an inventor in 6 patents. Tim has also given many keynote lectures and invited presentations in international conferences, and supervised a multitude of graduate students who are currently contributing to different areas of polymer science and engineering. He has also organized several international conferences, most notably <i>Incorep</i> (<i>International Conference on the Reaction Engineering of Polyolefins</i>), previously known as <i>Ecorep</i> (<i>European Conference on the Reaction Engineering of Polyolefins</i>), which will become the <i>Blue Sky-Incorep</i> conference in 2023, combining by the first time aspects of polyolefin chemistry, catalysis, and reaction engineering. Tim is also highly sought after as a consultant and as an expert witness for the polymer industry.</p><p>I was lucky to meet Tim when we were still at the beginning of our academic careers. If memory doesn't fail me—as it's prone to do after one's 60<sup>th</sup> birthday—we first met in 1997, in Palm Coast, Florida, while attending <i>Polymer Reaction Engineering III</i>. Tim was interested on improving single particle models for olefin polymerization, focusing on intraparticle transport phenomena, particle morphology development, and thermodynamic equilibrium, while I was integrating polymerization kinetics and microstructural characterization methods to better understand olefin polymerization with coordination catalysts. Luckily for us, our research interests superimposed just enough to foster collaboration but not to trigger the shadow of competition that haunts young academics. This first meeting led to a lifelong collaboration—including our book, <i>Polyolefin Reaction Engineering</i>, and a series of open and in-house industrial short courses—allowing us to visit most major polyolefin manufacturing companies and travel the world together.</p><p>But I suspect that work alone would not be enough to maintain our friendship over the years. Research interests aside, Tim and I are both liberal humanists who share a love for single malts, good wines, long dinners capped with perhaps a few too many <i>poires</i>, and an irreverent se","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202200047","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43161159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Experimental & Modelling Digital Twin Approach for Polymer Synthesis via Re-initiated Oxygen inhibited RAFT Polymerization 通过再引发氧抑制RAFT聚合合成聚合物的实验和建模数字孪生方法
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-16 DOI: 10.1002/mren.202200068
Emil Pashayev, Felix Kandelhard, Prokopios Georgopanos
{"title":"Experimental & Modelling Digital Twin Approach for Polymer Synthesis via Re-initiated Oxygen inhibited RAFT Polymerization","authors":"Emil Pashayev,&nbsp;Felix Kandelhard,&nbsp;Prokopios Georgopanos","doi":"10.1002/mren.202200068","DOIUrl":"10.1002/mren.202200068","url":null,"abstract":"<p>Controlled polymerization techniques like the reversible-addition fragmentation chain transfer polymerization (RAFT) are sensitive to impurities such as oxygen. This work explores the application of re-initiation as a tool to enhance monomer conversion. A kinetic model for the oxygen inhibited RAFT dispersion polymerization for the synthesis of poly(4-vinylpyridine)-<i>b</i>-polystyrene (P4VP-<i>b</i>-PS) is developed. Thus, using the kinetic model, the re-initiation of the inhibited RAFT polymerization is partially (monomer conversion ≤10%) predicted. By implementing the re-initiation as a solution, the synthesis of P4VP-<i>b</i>-PS copolymers with the high conversion (&gt;96%) and a good dispersity (≤1.2) is enabled.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202200068","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45444065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Development of Myrcene-Based Resins with Amine Ended Poly(Propylene Glycol) Side Chains Bonded Through Hydroxyurethane Linkages 胺端聚丙二醇侧链与羟基聚氨酯键合的月桂烯基树脂的研制
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-12-07 DOI: 10.1002/mren.202200054
Mohammad Farkhondehnia, Georges R. Younes, Milan Maric
{"title":"Development of Myrcene-Based Resins with Amine Ended Poly(Propylene Glycol) Side Chains Bonded Through Hydroxyurethane Linkages","authors":"Mohammad Farkhondehnia,&nbsp;Georges R. Younes,&nbsp;Milan Maric","doi":"10.1002/mren.202200054","DOIUrl":"10.1002/mren.202200054","url":null,"abstract":"<p>Hybrid non-isocyanate poly(urethanes) (HNIPUs) are designed from a precursor whose carbonate functionality is derived from epoxy-functional statistical copolymers. Specifically, a bio-based diene (<i>β</i>-myrcene) is copolymerized via conventional free radical polymerization with glycidyl methacrylate (GMA) at different molar ratios, producing flexible copolymers with epoxy pendant groups, which are then reacted with carbon dioxide to yield the precursors with cyclic carbonate functionality. Subsequent addition of an amine-terminated telechelic poly(propylene glycol) (PPG) forms urethane linkages in the side chains, whose concentration is tuned by varying the GMA initial molar fraction. The NIPUs are end-capped with silanes to enable moisture curing, resulting in HNIPUs with elongations at break up to 150%, and relatively low elastic moduli varying from 32 kPa to 50 kPa as the number of urethane side linkages increases from 6 to 22. The swelling ratio of the NIPUs is also measured in tetrahydrofuran (THF). As the number of urethane side chains increases, the swelling ratio of the NIPUs decreases (710% to 620%), indicating a higher crosslinking density. All samples have gel contents higher than 50% in THF, indicating non-crosslinked species in the hybrid samples which confirms the relatively low reported tensile moduli.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44945100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A Thermodynamic Simulation Package for Catalytic Polyolefin Reactors: Development and Applications 聚烯烃催化反应器热力学模拟软件包的开发与应用
IF 1.5 4区 工程技术
Macromolecular Reaction Engineering Pub Date : 2022-11-29 DOI: 10.1002/mren.202200057
Arash Alizadeh, Vasileios Touloupidis, João B. P. Soares
{"title":"A Thermodynamic Simulation Package for Catalytic Polyolefin Reactors: Development and Applications","authors":"Arash Alizadeh,&nbsp;Vasileios Touloupidis,&nbsp;João B. P. Soares","doi":"10.1002/mren.202200057","DOIUrl":"10.1002/mren.202200057","url":null,"abstract":"<p>A thermodynamic simulation package is developed for the catalytic polymerization of olefins in autoclave slurry, loop slurry, gas-phase, and autoclave solution reactors. The number of components in the reactors may vary from two to six. The simulator uses the Sanchez–Lacombe theory, one of the major thermodynamic models in the polymer industry. Step-by-step instructions on how to specify the system, derive and solve the resulting nonlinear equations, and estimate the required thermodynamic properties are given. The software is used to describe ethylene/1-hexene copolymerizations with hydrogen in different reactors under industrial conditions. These simulations demonstrate why thermodynamic effects must be included in olefin polymerization models.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46382948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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