The concept of ‘syntopy’
The concept of ‘syntopy’
复制标题
“同位素”的概念
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
J. Maruani
中科院分区：
文献类型：
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作者：
P. Mezey;J. Maruani
点对称本质上是一个离散的概念，而分子结构及其构象变化显示连续的功能，即使在半经典模型。利用模糊集理论的形式，我们提出了一个连续的扩展的点对称概念的准对称结构。对于具有特定化学计量比的所有分子系统的集合的约化核构型（度量）空间M的每个点k，以及对于由系统的静力学或动力学建议的能量准则，我们定义隶属函数μ i（k，k），其产生度量空间M的模糊子集Si（k）。这些模糊子集被用来获得一个连续的扩展的对称点群的正式的，经典的，核配置。
Point symmetry is essentially a discrete concept, whereas molecular structures and their conformational changes display continuous features, even within semi-classical models. Using the formalism of fuzzy-set theory, we propose a continuous extension of the point-symmetry concept for quasi-symmetric structures. For each point k of the reduced nuclear configuration (metric) space M of the set of all molecular systems having a specified stoichiometry, and for an energy criterion ϵ suggested by the statics or the dynamics of the systems, we define membership functions μ i (k, ϵ) which generate fuzzy subsets Si (ϵ) of the metric space M. These fuzzy subsets are used to obtain a continuous extension of the symmetry point groups of formal, classical, nuclear configurations.