Persistent Homology for the Quantitative Analysis of the Structure and Stability of Carboranes

作     者：CHEN Dong ZHANG Ming-Zheng CHEN Hai-Biao XIE Zuo-Wei WEI Guo-Wei PAN Feng 陈冬;张明正;陈海标;谢作伟;魏国卫;潘锋

作者机构：School of Advanced MaterialsPeking University Shenzhen Graduate School Shenzhen 518055China Department of Chemistry and State Key Laboratory of Synthetic ChemistryThe Chinese University of HongKongShatinNew TerritoriesHong KongChina Department of MathematicsMichigan State UniversityMI 48824 USA Department of Electrical and Computer EngineeringMichigan State UniversityMI 48824USA Department of Biochemistry and Molecular BiologyMichigan State UniversityMl 48824USA 

出 版 物：《Chinese Journal of Structural Chemistry》 (结构化学（英文）)

年 卷 期：2020年第39卷第6期

页      面：999-1008页

核心收录：

学科分类：081704[工学-应用化学] 07[理学] 070304[理学-物理化学(含∶化学物理)] 08[工学] 0817[工学-化学工程与技术] 0703[理学-化学] 

基　　金：supported by the National Key R&D Program of China (2016YFB0700600) Soft Science Research Project of Guangdong Province (2017B030301013) Shenzhen Science and Technology Research Grant (ZDSYS201707281026184)supported in partial by NSF Grants DMS1721024,DMS1761320,IIS1900473 NIH grants GM126189 and GM129004 Bristol-Myers Squibb and Pfizer 

主　　题：topology persistent homology carboranes filtration stability relative energy 

摘      要：Persistent homology is a powerful and novel tool for quantifying the inherent topological features of structure. In this work, we used the persistent homology for the first time to study the closo-carboranes C2Bn-2Hn(n = 5~20) and their parent structures closo-boranes dianions BnHn2-(n = 5~20), where multiple elements are present. All these structures are first investigated with the standard Vitoris-Rips complex. We interpret all barcodes representation and associate them with structural details. By means of average bar length, a linear regression model was established to construct the relationship between persistent homology features and molecular stability, which was expressed by the relative energies. For closo-boranes dianions, we only use B atom set since B and H atoms are in pairs. The average lengths of β0, β1 and β2 bars are used as the features for linear regression, and excellent correlation coefficient(0.977) between the values predicted by persistent homology and those by quantum calculations was achieved. For closo-carboranes, C–B atom set(ignore the differences in the atoms), B atom set and C atom set were considered to get the persistent homology features(since there were only two C atoms in C2Bn-2Hn, only β0 bars were considered), and seven average bar lengths were calculated, respectively. Pearson coefficient of 0.937 was obtained. We found that the stability of carboranes showed a high linear correlation with the characteristics generated from topological bars in H0, H1 and H2. The results show that the topological information generated by persistent homology can be extended and applied to multi-element systems.