Pub Date : 2025-12-18DOI: 10.1007/s12039-025-02418-2
Virendra Kumar, Shibsankar Das, Jayjit Barman
Quantitative structure-property relationship analysis, based on topological descriptors, is a significant statistical approach to assess the physical and chemical properties of compounds without requiring costly and time-consuming laboratory tests. Some graph invariants have been used in literature to distinguish the development of entropy measurements from the molecular graph of a chemical compound. Graph entropies have developed as an information-theoretic technique for analysing the structural information of a molecular graph. The feasible applications of graph entropy measures in various areas of science and mathematics have caught the attention of researchers. Therefore, this research work concentrates on the computation of some novel neighborhood degree sum-based entropy measures of silicon carbide networks namely Si(_{2})C(_{3})-I[p, q], Si(_{2})C(_{3})-II[p, q] and Si(_{2})C(_{3})-III[p, q]. Further, we demonstrate the graphical representations of the entropy measures and compute their numerical values of the above-mentioned chemical structures comparison among the considered entropy measures. Additionally, using cubic regression models, the QSPR analysis is performed to establish the correlation between the entropy measures and the cohesive energy of the considered silicon carbide networks. Neighborhood entropy measures establish a significant correlation with the cohesive energies of the networks.
基于拓扑描述符的定量结构-性质关系分析是一种重要的统计方法,可以评估化合物的物理和化学性质,而不需要昂贵和耗时的实验室测试。一些图不变量在文献中被用来区分熵测量的发展和化合物的分子图。图熵是一种用于分析分子图结构信息的信息理论技术。图熵测度在科学和数学各个领域的可行性应用已经引起了研究者的关注。因此,本研究工作集中于计算一些新的基于邻域度和的碳化硅网络熵测度,即Si (_{2}) C (_{3}) -I[p, q], Si (_{2}) C (_{3}) -II[p, q]和Si (_{2}) C (_{3}) -III[p, q]。此外,我们展示了熵测度的图形表示,并计算了上述化学结构的熵测度之间的比较的数值。此外,使用三次回归模型,进行QSPR分析,以建立熵测度与所考虑的碳化硅网络的内聚能之间的相关性。邻域熵测量与网络的内聚能建立了显著的相关性。
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Pub Date : 2025-12-18DOI: 10.1007/s12039-025-02399-2
Roman F Nalewajski
Resultant concepts in information theory (IT) combine probability and current contributions, due to the modulus and phase of molecular state, respectively. Classical (probability) and resultant (wavefunction) descriptors are summarized and relations between entropy and information densities are investigated. The connection between the Shannon and Fisher measures is commented upon and quantum-generalized. The gradient of entropy-density determines the amplitude of the local information-content, the squared gradient of the wavefunction-logarithm. The discrete and continuous probability and improbability descriptors are compared and their normalizations explored. The symmetric binary channel of communication theory, the IT model of an elementary chemical bond, is reexamined and its complementary probability (signal-switching) and improbability (signal-conservation) entropies are interpreted as the orbital-uncertainty (“noise”, covalency) and orbital-certainty (“determinicity”, iconicity) descriptors. Localization/delocalization terms in the binary entropy function are identified and additive and nonadditive bond components are extracted.
Graphical abstract
Classical and nonclassical entropy and information measures, probability and improbability descriptors, and components of chemical bonds, along with the symmetric binary channel of communication theory.