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Quantification of thermal ring flexibilities of aromatic and heteroaromatic compounds

机译:芳香族和杂芳香族化合物热环挠性的定量

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摘要

The consequences of thermal fluctuations occurring at room temperatures on the aromatic character of a broad group of compounds were analyzed in three distinct ways. First of all, the ring deformations were modeled along normal coordinates coming from quantum thermo-chemistry computations. The amplitudes of vibrations were estimated according to absorbed energies at room temperature. Alternatively, in-plane and out-of-plane ring deformations were modeled via scanning procedure with partial relaxation of the molecular geometry. The influence of ring deformations on π–electron delocalization was expressed in terms of HOMA values. Besides, the ring deformability was defined as the averaged change of bond angles or dihedral angles constituting the ring that was associated with 1.5 kcal mol-1 increase of the system energy. The molecules structures adopted during vibrations at room temperature can lead to significant heterogeneity of structural index of aromaticity. The broad span of HOMA values was obtained for analyzed five- or six-membered aromatic and heteroaromatic rings. However, the averaged values obtained for such fluctuations almost perfectly match HOMA values of molecule in the ground state. It has been demonstrated that the ring deformability imposed by bond angle changes is much smaller than for dihedral angles with the same rise of system energy. Interestingly in the case of out-of-plane vibrations modeled by scanning procedure there is observed linear correlation between ring deformability and HOMA values. Proposed method for inclusion of thermal vibrations in the framework of π–electron delocalization provides natural shift of the way of thinking about aromaticity from a static quantity to a dynamic and heterogeneous one due to inclusion of a more realistic object of analysis – thermally deformed structures. From this perspective the thermal fluctuations are supposed to be non-negligible contributions to aromaticity phenomenon.
机译:用三种不同的方法分析了室温下热波动对多种化合物的芳香特性的影响。首先,沿着量子热化学计算的法线坐标对环的变形进行建模。根据在室温下吸收的能量估算振动的幅度。或者,通过扫描程序模拟平面内和平面外的环变形,并局部放松分子的几何形状。环状变形对π电子离域的影响用HOMA值表示。此外,将环的可变形性定义为与系统能量增加1.5 kcal mol -1 相关的构成环的键角或二面角的平均变化。在室温下的振动过程中采用的分子结构会导致芳香性结构指数的显着异质性。对于分析的五元或六元芳族和杂芳族环,获得了较宽的HOMA值。但是,对于这种波动获得的平均值几乎与基态下的分子的HOMA值完全匹配。已经证明,在系统能量相同的情况下,由键角变化引起的环变形能力远小于二面角。有趣的是,在通过扫描程序建模的平面外振动的情况下,观察到环变形性与HOMA值之间存在线性关系。提议的将热振动包含在π电子离域框架中的方法,由于包含了更现实的分析对象-热变形结构,使芳香性的思维方式自然地从静态转变为动态和非均质。从这个角度看,热波动对芳香性现象的影响应该忽略不计。

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