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Analysis of #pi#-Electronic Structures of Small Alternant Hydrocarbons to Infinitely Large Polymeric Strips: The Aufbau Principle and End-Group Effects

机译:小交替碳氢化合物到无限大聚合物条带的#pi#-电子结构分析:Aufbau原理和端基效应

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摘要

Paired series of strongly subspectral molecular graphs which possess a preponderance of common eigenvalues can be constructed by successive attachment of specific aufbau units (repeated subgraphs) to certain seed graphs. Recursion relations for the characteristic polynomials of such series are identical and differ only in the input of initial characteristic polynomials. A new operator method for the derivation of recursion relations for singly connected polymeric series is presented. Strongly subspectral series devolve to the same infinite-limit member and density of states, and two types of end-group effects are demonstrated.
机译:通过将特定的aufbau单元(重复的子图)连续附加到某些种子图上,可以构建具有共同特征值优势的成对的强亚光谱分子图系列。该系列的特征多项式的递归关系相同,仅在初始特征多项式的输入上不同。提出了一种新的算子方法,用于推导单连接聚合物系列的递归关系。强烈的亚谱级数演化为相同的无穷大成员和状态密度,并证明了两种类型的端基效应。

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