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界面层中模型高分子链构象的统计理论

CONFORMATIONAL STATISTICS FOR MODEL POLYMER CHAIN IN INTERFACIAL LAYER

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【作者】 唐兵陈枫王罗新吴大诚

【Author】 TANG Bing, CHEN Feng, WANG Luoxin, WU Dacheng (Textile College, Sichuan University, Chengdu\ 610065)

【机构】 四川大学纺织学院四川大学纺织学院 成都610065成都610065成都610065

【Abstract】 Based on the model of random walk on the simple cubic lattice,the distribution function of conformation of a polymer chain in an interfacial layer was deduced.If the model chain was consisted of N segments, it was possible to form both the tail chain, when the terminal segments were adsorbed at the interface, and the adsorbed chain with the non\|terminal group.The conformational number Ω tail of a tail chain is equal to Ω free /(6π N ) 1/2 ,where Ω free is the conformational number of a chain in free state and equals to 6 N for this random walk model. It was found from theoretical analysis that, for the set of a chain attached non\|terminally to the interface, the total conformational number Ω tot is equal to Ω free /6.As an result,the average conformational number m for the chain attached non\|terminally to the interface is Ω \{free\}/6 N .In the case of short chain,for instance N is equal to about 10,the conformational number Ω \{tail\} of tail chain is even larger than the total number Ω \{tot\}. In the limitation of long chain, however, the conformational number Ω \{tail\} for tail chain is nuch large than m,but smaller than Ω \{tot\}. The conclusion is that the distribution function of conformation for chains in the interfacial layer is not uniform,but has a special distribution form described in this paper.

【基金】 国家自然科学基金 (基金号 2 99740 19);高等学校博士点专项科研基金 (基金号 2 0 0 10 610 0 2 4)资助项目
  • 【文献出处】 高分子学报 ,Acta Polymerica Sinica , 编辑部邮箱 ,2003年02期
  • 【分类号】O631
  • 【被引频次】4
  • 【下载频次】167
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