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界面层中模型高分子链构象的统计理论

唐兵;陈枫;王罗新;吴大诚

  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 ofNsegments, 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 numberΩtailof a tail chain is equal toΩfree/(6πN)1/2,whereΩfreeis the conformational number of a chain in free state and equals to 6Nfor 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 numberΩtotis equal toΩfree/6.As an result,the average conformational numbermfor the chain attached non\|terminally to the interface isΩ\{free\}/6N.In the case of short chain,for instanceNis equal to about 10,the conformational numberΩ\{tail\} of tail chain is even larger than the total numberΩ\{tot\}. In the limitation of long chain, however, the conformational numberΩ\{tail\} for tail chain is nuch large thanm,but smaller thanΩ\{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.……   
[关键词]:链构象;无规行走;界面层;受限链;统计理论
[文献类型]:期刊
[文献出处]: 《高分子学报2003年02期