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研究了链状聚合物的长短键结构呈准周期排列的电子谱 .利用紧束缚近似和转移矩阵方法通过理论证明和计算表明 :这种准周期排列聚合物的电子谱 ,当长短键长度相差很小时 ,具有类似于金属晶体的能带结构 ;相差很大时 ,具有无序系统一维能级结构 ;而对于一般情形 ,其电子谱与上两者均异 ,形成所谓的类Cantor集 .这 3类不同的谱结构反映在链状聚合物的宏观物理性质上也将有所不同 ,它无疑会影响聚合物的稳定性及相关 (超 )导电性能 ,深入研究这方面问题将有助于对有机超导的认识 .
The electronic structure of the quasi-periodic array of chain-like polymers has been studied.The tight bond approximation and transfer matrix method have been used to prove and calculate the electronic spectra of quasi-periodic polymers that when the lengths of the short and long bonds are very different Hour, having a band structure similar to that of metal crystals; when there is a large difference, it has a one-dimensional energy level structure of a disordered system; and for the general case, the electron spectrum is different from the above two, forming a so-called Cantor set. The three different types of spectral structures reflected in the macroscopic physical properties of chain polymers will undoubtedly affect the stability of the polymer and the associated (super) conductivity. An in-depth study of this aspect will help Organic superconductivity awareness.