The relationship between the deformed harmonic oscillator and the formation of molecular cluster structures, whereby valence neutrons are exchanged between cluster cores, is examined. It is found that there is a strong connection between the properties of the valence orbitals associated with deformed structures in the deformed harmonic oscillator and the molecular orbitals created by linear combinations of single-centre orbitals around nuclear clusters. The conclusion is that in addition to the appearance of clustering in the deformed harmonic oscillator that every prolate deformed cluster structure should have molecular orbitals built on that structure. This is demonstrated through a series of examples that range from 13 C to 57 Ni.

中文翻译：

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证明扁长形变形核中分子结构的普遍性

研究了变形谐波振荡器与分子簇结构的形成之间的关系，由此在簇核之间交换价中子。发现与变形谐波振荡器中的变形结构相关的化合价轨道的性质与由围绕核团簇的单中心轨道的线性组合产生的分子轨道之间存在紧密的联系。结论是，除了在变形谐波振荡器中出现团簇外，每个长条形变形的团簇结构都应在该结构上构建分子轨道。通过一系列从13 C到57 Ni的示例证明了这一点。