Shape Characteristics of Complex Single Chain and Aggregation by Exponential Law
- Corresponding author: Lu Dan, lud@jlu.edu.cn
Citation:
Li Tao, Lu Dan. Shape Characteristics of Complex Single Chain and Aggregation by Exponential Law[J]. Acta Chimica Sinica,
;2016, 74(8): 649-656.
doi:
10.6023/A16050252
Wu Q. Y.Polymer Condensed Matter Physics, Science Press, Beijing, 2012, pp. 32~44.
de Gennes P. E.Scaling Concepts in Polymer Physics, Cornell University Press, New York, 1985.
Wu Q. Y.China Plastics 2013, 27(1), 1.
Robinson G., Ross-Murphy S. B., Morris, E R. Carbohydr. Res. 1982, 107, 17.
doi: 10.1016/S0008-6215(00)80772-7
Teraoka I.Polymer Solutions: An Introduction to Physical Properties, John Wiley & Sons, Inc., New York, 2001, pp. 209~221.
Kato T., Okamoto T., Tokuya T., Takahashi A.Biopolymers, 1982, 21:1623.
doi: 10.1002/(ISSN)1097-0282
Picton L., Bataille G., Muller G.Carbohydr. Polym., 2000, 42:23.
doi: 10.1016/S0144-8617(99)00139-3
Picton L., Merle L., Muller G.Int. J. Polym. Anal. Ch., 1996, 2:103.
doi: 10.1080/10236669608233900
Beaucage G.Phys. Rev. E, 2004, 70:031401.
Gelade E. T. F., Goderis B., de Koster C. G..; Meijerink N., van Benthem R. A.T. M. Macromolecules, 2001, 34:3552.
doi: 10.1021/ma001266t
Scherrenberg R., Coussens B., Van Vliet P., Edouard G., Brackman J., De Brabander E.Macromolecules, 1998, 31:456.
doi: 10.1021/ma9618181
Huber K., Witte T., Hollmann J., Keuker-Baumann S. J.Am. Chem. Soc., 2007, 129:1089.
doi: 10.1021/ja063368q
Lages S., Michels R., Huber K.Macromolecules, 2010, 43:3027.
doi: 10.1021/ma9027239
Carpinti M., Ferri F., Giglio M., Paganini E., Perini U.Phys. Rev. A, 1990, 42:7347.
doi: 10.1103/PhysRevA.42.7347
Schärtl W.Light Scattering from Polymer Solutions and Nanoparticle Dispersions, Springer Laboratory, Berlin, 2007.
Raspaud E., Lairez D., Adam M., Carton J. P.Macromolecules, 1994, 27:2956.
doi: 10.1021/ma00089a011
Peng S. F., Wu C.Macromolecules, , 2001, 34:6795.
doi: 10.1021/ma010376c
Roe R. J.Methods of X-ray and Neutron Scattering in Polymer Science, Oxford, New York, 2000.
Higgins J. S., Benoit H. C.Polymers and Neutron Scattering, Oxford, New York, 1994.
Perahia D., Traiphol R., Bunz U. H.F. J. Chem. Phys., 2002, 117:1827.
doi: 10.1063/1.1486215
Wang H., Zhou W., Ho D. L., Winey K. I., Fischer J. E., Glinka C. J., Hobbie E. K.Nano Lett., 2004, 4:1789.
doi: 10.1021/nl048969z
Knaapila M., Garamus V. M., Almásy L., Pang J. S., Forster M., Gutacker A., Scherf U., Monkman A. P.J. Phys. Chem. B, 2008, 112:16415.
doi: 10.1021/jp806763d
Rong L. X., Wei L. H., Dong B. Z., Hong X. G., Li F. M., Li Z. C.Chin. Phys., 2003, 12:771.
doi: 10.1088/1009-1963/12/7/313
Auguin, D.;Gostan, T.;Delsuc, M.-A.; Roumestand, C.C.R.Chimie 2004, 7, 265.
doi: 10.1016/j.crci.2003.10.017
Crutchfield, C.A.; Harris, D.J.J.Magn.Reson.2007, 185, 179.
doi: 10.1016/j.jmr.2006.12.004
Auge S., Schmit P.-O., Crutchfield C. A., Islam M. T., Harris D. J., Durand E., Clemancey M., Quoineaud A. A., Lancelin J. M., Prigent Y., Taulelle F., Delsuc M. A.J. Phys. Chem. B, 2009, 113:1914.
doi: 10.1021/jp8094424
Chari K., Antalek B., Minter J.Phys. Rev. Lett., 1995, 74:3624.
doi: 10.1103/PhysRevLett.74.3624
Wu Q. Y.Polymer Physics, Higher Education Press, Beijing, 2011, pp. 17~24.
Roubroeks J. P., Mastromauro D. I., Andersson R., Christensen B. E., Åman P.Biomacromolecules, 2000, 1:584.
doi: 10.1021/bm000017+
Sato T., Norisuye T., Fujita H.Macromolecules, 1984, 7:6.
Li W., Cui S. W., Wang Q.Biomacromolecules, 2006, 7:446.
doi: 10.1021/bm050625v
Tao Y. Z., Zhang L. N., Yan F., Wu X. J.Biomacromolecules, 2007, 8:2321.
doi: 10.1021/bm070335+
Huang Z. P., Huang Y. N., Li X. B., Zhang L. N.Carbohydr. Polym., 2009, 78:596.
doi: 10.1016/j.carbpol.2009.05.027
Li S., Huang Y., Wang S., Xu X. J., Zhang L. N.J. Phys. Chem. B, 2014, 118:668.
doi: 10.1021/jp4087199
Voit B. I., Albena L.Chem. Rev., 2009, 109:5924.
doi: 10.1021/cr900068q
Mori H., Müller A. H. E., Simon P. F.W. In Macromolecular Engineering: Precise Synthesis, Materials Properties, Applications, Vol. 2, Eds.: Matyjaszewski K., Gnanou Y., Leibler L., Wiley-VCH, Weinheim, Germany, 2007 p.973.
Turner S. R., Voit B. I., Mourey T. H.Macromolecules, 1993, 26:4617.
doi: 10.1021/ma00069a031
Mourey T. H., Turner S. R., Rubinstein M., Fréchet J. M. J., Hawker C. J., Wooley K. L.Macromolecules, 1992, 25:2401.
doi: 10.1021/ma00035a017
Tomalia D. A., Hedstrand D. M., Wilson L. R.In Encyclopedia of Polymers Science, 2nd ed., Wiley, New York, 1990.
Isaacson J., Lubensky T. C.J. Phys. Lett., 1980, 41:469.
doi: 10.1051/jphyslet:019800041019046900
Daoud M., Joanny J. F.J. Phys. (Les Ulis, Fr.), , 1981, 42:1359.
doi: 10.1051/jphys:0198100420100135900
Flory P. J.Principles of Polymer Chemistry, Cornell University, Press, Ithaca, New York, 1953.
Luca E. D., Richards R. W., Grillo I., King S. M.J. Polym. Sci. Polom. Phys., 2003, 41:1352.
doi: 10.1002/(ISSN)1099-0488
Ioan C. E., Aberle T., Burchard W.Macromolecules, 2000, 33:5730.
doi: 10.1021/ma000282n
Hanselmann R., Burchard W., Lemmes R., Schwengers D.Macromol. Chem. Phys., 1995, 196:2259.
doi: 10.1002/macp.1995.021960715
Huang L., Zhang L. L., Huang X. N., Li T., Liu B., Lu D. J.Phys. Chem. B., 2014, 118:791.
doi: 10.1021/jp406598x
Knaapila M., Almásy L., Garamus V. M., Ramosd M. L., Justino L. L. G., Galbrecht F., Preis E., Scherf U., Burrowsd H. D., Monkmanm A. P.Polymer, 2008, 49:2033.
doi: 10.1016/j.polymer.2008.02.046
Papi M., Arcovito G., de, Spirito. M..; Amiconi G.., Bellelli A., Boumis G.Appl. Phys. Lett., 2005, 86:183901.
doi: 10.1063/1.1915526
Li Y.C, Chen K.B, Chen H. L., Hsu C. S., Tsao C. S., Chen J. H., Chen S. A.Langmuir, 2006, 22:11009.
doi: 10.1021/la0612769
Bauer B. J., Hobbie E. K., Becker M. L.Macromolecules, 2006, 39:2637.
doi: 10.1021/ma0527303
Callejas-Fernández J., Ramos J., Forcada J., Moncho-Jordá A. J.Colloid Interface Sci., 2015, 450:310.
doi: 10.1016/j.jcis.2015.03.031
Kanai S., Muthukumar M. J.Chem. Phys., 2007, 127:25.
Dai S., Tam K. C., Jenkins R. D.Macromolecules, 2000, 33:404.
doi: 10.1021/ma990887n
Witten T. A., Sander L. M.Phys. Rev. Lett., 1981, 47:1400.
doi: 10.1103/PhysRevLett.47.1400
Witten T. A., Sander L. M.Phys. Rev. B, 1983, 27:5686.
doi: 10.1103/PhysRevB.27.5686
Meakin P.Phys. Rev. Lett., 1983, 51:1119.
doi: 10.1103/PhysRevLett.51.1119
Meakin P.Phys. Rev. A, 1990, 41:2005.
doi: 10.1103/PhysRevA.41.2005
Meakin P.Adv. Colloid Interface Sci., 1988, 28:249.
Brown W. D., Ball R. C.J. Phys. A, 1985, 18:517.
doi: 10.1088/0305-4470/18/9/006
Vicsek T.Fractal Growth Phenomena, World Scientific, London, 1992.
Chen W. N., Zhao Y., Jiang Y., Yan D. D., Han C. C.ChemPhysChem, 2004, 5:1745.
doi: 10.1002/(ISSN)1439-7641
Liu X. B., Luo S. K., Ye J., Wu C.Macromolecules, 2012, 45:4830.
doi: 10.1021/ma300629d
Hagiwara T., Kumagai H., Nakamura K.Biosci. Biotech. Biochem., 1996, 60:1757.
doi: 10.1271/bbb.60.1757
Lin W., Zhou Y. S., Zhao Y., Zhu Q. S., Wu C.Macromolecules, 2002, 35:7407.
doi: 10.1021/ma020372n
Liao W., Zhang Y. J., Guan Y., Zhu X. X.Langmuir, 2012, 28:10873.
doi: 10.1021/la3016386
Burns J. L., Yan Y. D., Jameson G. J., Biggs S.Langmuir, 1997, 13:6413.
doi: 10.1021/la970303f
Li, N.;Li, Y.B.; Wang, X.G.Macromolecules 2011, 44, 8598.
doi: 10.1021/ma200992n
Laiying Zhang , Yinghuan Wu , Yazi Yu , Yecheng Xu , Haojie Zhang , Weitai Wu . Innovation and Practice of Polymer Chemistry Experiment Teaching for Non-Polymer Major Students of Chemistry: Taking the Synthesis, Solution Property, Optical Performance and Application of Thermo-Sensitive Polymers as an Example. University Chemistry, 2024, 39(4): 213-220. doi: 10.3866/PKU.DXHX202310126
Pingping Zhu , Yongjun Xie , Yuanping Yi , Yu Huang , Qiang Zhou , Shiyan Xiao , Haiyang Yang , Pingsheng He . Excavation and Extraction of Ideological and Political Elements for the Virtual Simulation Experiments at Molecular Level: Taking the Project “the Simulation and Computation of Conformation, Morphology and Dimensions of Polymer Chains” as an Example. University Chemistry, 2024, 39(2): 83-88. doi: 10.3866/PKU.DXHX202309063
Wenbing Hu , Jin Zhu . Flipped Classroom Approach in Teaching Professional English Reading and Writing to Polymer Graduates. University Chemistry, 2024, 39(6): 128-131. doi: 10.3866/PKU.DXHX202310015
Haiping Wang . A Streamlined Method for Drawing Lewis Structures Using the Valence State of Outer Atoms. University Chemistry, 2024, 39(8): 383-388. doi: 10.12461/PKU.DXHX202401073
Kai Yang , Gehua Bi , Yong Zhang , Delin Jin , Ziwei Xu , Qian Wang , Lingbao Xing . Comprehensive Polymer Chemistry Experiment Design: Preparation and Characterization of Rigid Polyurethane Foam Materials. University Chemistry, 2024, 39(4): 206-212. doi: 10.3866/PKU.DXHX202308045
Wenyan Dan , Weijie Li , Xiaogang Wang . The Technical Analysis of Visual Software ShelXle for Refinement of Small Molecular Crystal Structure. University Chemistry, 2024, 39(3): 63-69. doi: 10.3866/PKU.DXHX202302060
Pei Li , Yuenan Zheng , Zhankai Liu , An-Hui Lu . Boron-Containing MFI Zeolite: Microstructure Control and Its Performance of Propane Oxidative Dehydrogenation. Acta Physico-Chimica Sinica, 2025, 41(4): 100034-. doi: 10.3866/PKU.WHXB202406012
Lijun Huo , Mingcun Wang , Tianyi Zhao , Mingjie Liu . Exploration of Undergraduate and Graduate Integrated Teaching in Polymer Chemistry with Aerospace Characteristics. University Chemistry, 2024, 39(6): 103-111. doi: 10.3866/PKU.DXHX202312059
Feng Zheng , Ruxun Yuan , Xiaogang Wang . “Research-Oriented” Comprehensive Experimental Design in Polymer Chemistry: the Case of Polyimide Aerogels. University Chemistry, 2024, 39(10): 210-218. doi: 10.12461/PKU.DXHX202404027
Qi Wang , Yicong Gao , Feng Lu , Quli Fan . Preparation and Performance Characterization of the Second Near-Infrared Phototheranostic Probe: A New Design and Teaching Practice of Polymer Chemistry Comprehensive Experiment. University Chemistry, 2024, 39(11): 342-349. doi: 10.12461/PKU.DXHX202404141
Wenjun Yang , Qiaoling Tan , Wenjiao Xie , Xiaoyu Pan , Youyong Yuan . Construction and Characterization of Calcium Alginate Microparticle Drug Delivery System: A Novel Design and Teaching Practice in Polymer Experiments. University Chemistry, 2025, 40(3): 371-380. doi: 10.12461/PKU.DXHX202405150
Wenliang Wang , Weina Wang , Sufan Wang , Tian Sheng , Tao Zhou , Nan Wei . “Schrödinger Equation – Approximate Models – Core Concepts – Simple Applications”: Constructing a Logical Framework and Knowledge Graph of Atom and Molecule Structures. University Chemistry, 2024, 39(8): 338-343. doi: 10.3866/PKU.DXHX202312084
Yaping Li , Sai An , Aiqing Cao , Shilong Li , Ming Lei . The Application of Molecular Simulation Software in Structural Chemistry Education: First-Principles Calculation of NiFe Layered Double Hydroxide. University Chemistry, 2025, 40(3): 160-170. doi: 10.12461/PKU.DXHX202405185
Yan Liu , Yuexiang Zhu , Luhua Lai . Introduction to Blended and Small-Class Teaching in Structural Chemistry: Exploring the Structure and Properties of Crystals. University Chemistry, 2024, 39(3): 1-4. doi: 10.3866/PKU.DXHX202306084
Jingwen Wang , Minghao Wu , Xing Zuo , Yaofeng Yuan , Yahao Wang , Xiaoshun Zhou , Jianfeng Yan . Advances in the Application of Electrochemical Regulation in Investigating the Electron Transport Properties of Single-Molecule Junctions. University Chemistry, 2025, 40(3): 291-301. doi: 10.12461/PKU.DXHX202406023
Zitong Chen , Zipei Su , Jiangfeng Qian . Aromatic Alkali Metal Reagents: Structures, Properties and Applications. University Chemistry, 2024, 39(8): 149-162. doi: 10.3866/PKU.DXHX202311054
Kun WANG , Wenrui LIU , Peng JIANG , Yuhang SONG , Lihua CHEN , Zhao DENG . Hierarchical hollow structured BiOBr-Pt catalysts for photocatalytic CO2 reduction. Chinese Journal of Inorganic Chemistry, 2024, 40(7): 1270-1278. doi: 10.11862/CJIC.20240037
Haitang WANG , Yanni LING , Xiaqing MA , Yuxin CHEN , Rui ZHANG , Keyi WANG , Ying ZHANG , Wenmin WANG . Construction, crystal structures, and biological activities of two LnⅢ3 complexes. Chinese Journal of Inorganic Chemistry, 2024, 40(8): 1474-1482. doi: 10.11862/CJIC.20240188
Dongju Zhang . Exploring the Descriptions and Connotations of Basic Concepts of Teaching Crystal Structures. University Chemistry, 2024, 39(3): 18-22. doi: 10.3866/PKU.DXHX202304003
Weina Wang , Fengyi Liu , Wenliang Wang . “Extracting Commonality, Delving into Typicals, Deriving Individuality”: Constructing a Knowledge Graph of Crystal Structures. University Chemistry, 2024, 39(3): 36-42. doi: 10.3866/PKU.DXHX202308029