Zusammenhang von Graphentheorie und MO-Theorie von Molekeln mit Systemen konjugierter Bindungen

Zusammenhang von Graphentheorie und MO-Theorie von Molekeln mit Systemen konjugierter Bindungen
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DOI:
10.1002/hlca.19560390623
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发表时间:
1956
影响因子:
1.8
通讯作者:
H. Günthard;H. Primas
H. Günthard;H. Primas
中科院分区:
化学4区
文献类型:
--
作者:
H. Günthard;H. Primas

文献摘要

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研究了简单形式的 MO 理论(二参数理论)与图谱理论之间的关系。通过使用图论的一些定理,表明简单MO理​​论给出的能量本征值谱除了尺度因子之外还由共轭系统的拓扑结构决定。此外,键级和电荷级完全由拓扑决定。给出了直接从图中计算特征多项式和特征向量的过程。
Relations between the simple form of MO-theory (two parameter theory) and the theory of spectra of graphs are investigated. By the use of some theorems of graph theory it is shown that the spectra of energy eigenvalues given by the simple MO-theory are determined besides of scale factors by the topology of the conjugated systems. Furthermore bond orders and charge orders are completely determined by the topology. A procedure for the calculation of the characteristic polynom and the characteristic vectors directly from the graph is given.