Relationship between the Electric Polarizability and Aromaticity of Metallocene-Containing Macrocycles

Lenara I. Valiulina, V. Cherepanov, R. Valiev
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Abstract

Magnetically induced ring currents, aromaticity, as well as polarizability and second hyperpolarizability of the metallocenothiaporphyrins with transition metals of group VIII (Fe, Ru) and isoelectronic cations of group IX (Со+, Rh+) and metallocene-containing annulenes ((C5H5)2М[n = 18–24] where M is Fe, Co+) have been studied computationally at Density Functional level of Theory (DFT). The calculations show that the value of average polarizability of the studied compounds depends on their character of the aromaticity. Aro-matic structures are characterized by larger polarizability than their corresponding antiaromatic congeners. The average polarizability of metallocenothiaporphyrins also depends on the magnitude of magnetically in-duced ring currents, which quantify the degree of electron delocalization. An increase in the number of -electrons in conjugation pathway plays a key role in the growth of polarizability. Aromaticity also influences on the second hyperpolarizability of metallocene-containing annulenes. In the case of compounds with the same number of conjugated electrons, the second hyperpolarizability is larger for more aromatic systems. To conclude, our results pinpoint the importance of electron delocalization on the polarizability and second hyperpolarizability of the studied metallocene-containig macrocycles
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含茂金属大环电极化率与芳构性的关系
在理论密度泛函水平(DFT)上计算研究了具有过渡金属VIII族(Fe, Ru)和IX族等电子阳离子(Со+, Rh+)和含茂金属环烯((C5H5)2М[n = 18-24](其中M为Fe, Co+)的茂金属噻吩啉的磁感应环电流、芳香性以及极化率和二次超极化率。计算结果表明,所研究化合物的平均极化率的大小取决于其芳香性的性质。芳烃结构的极化率比其相应的反芳烃同系物大。金属硫卟啉的平均极化率也取决于磁诱导环电流的大小,它量化了电子离域的程度。共轭途径中-电子数的增加对极化率的提高起着关键作用。芳香性对含茂金属环烯的二次超极化率也有影响。对于共轭电子数相同的化合物,芳香族体系越多,其第二超极化率越大。综上所述,我们的研究结果明确了电子离域对所研究的含茂金属大环的极化率和二次超极化率的重要性
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