Cooper Sophie, Kaltsoyannis Nikolas
Department of Chemistry, School of Natural Sciences, The University of Manchester, Oxford Road, Manchester, M13 9PL, UK.
Dalton Trans. 2021 Feb 2;50(4):1478-1485. doi: 10.1039/d0dt03699d.
The geometric and electronic structures of AnCl3 are studied computationally using scalar relativistic, hybrid density functional theory (PBE0). The An-Cl bond lengths generally decrease across the 5f series, although there is a slight lengthening from Fm-Cl to No-Cl as the metal ions display increasing M(ii) character. Covalency in the An-Cl bond is studied using a wide range of metrics drawn from the Natural Bond Orbital, Natural Resonance Theory and Quantum Theory of Atoms-in-Molecules (QTAIM) methods, including bond order, orbital composition, orbital overlap and electron density topology data. Most metrics agree that the later An-Cl bonds are less ionic than might be anticipated on the basis of trends in the first half of the series, due to energy degeneracy-driven covalency in the β spin manifold; for example, the An-Cl QTAIM delocalisation index (bond order) for MdCl3 (0.88) is almost exactly the same as for NpCl3 (0.89). By contrast, the ratio of the kinetic to potential energy densities at the An-Cl bond critical points indicates that ionicity increases across the series, suggesting that the delocalisation index measures both orbital overlap and energy degeneracy-based covalency, while the bond critical point metric gauges only the former. Recalculation of all the data using the generalised gradient approximation PBE functional finds larger energy degeneracy-driven covalency in the later actinides than using hybrid DFT. Hence, we find that conclusions concerning the covalency of the An-Cl bond are dependent not only on the metric used to evaluate it, but also on the underlying electronic structure method.
使用标量相对论混合密度泛函理论(PBE0)对AnCl3的几何和电子结构进行了计算研究。An-Cl键长在5f系列中总体上呈下降趋势,不过从Fm-Cl到No-Cl略有延长,因为金属离子显示出越来越强的M(ii)特性。利用从自然键轨道、自然共振理论和分子中原子的量子理论(QTAIM)方法得出的多种指标研究了An-Cl键中的共价性,包括键级、轨道组成、轨道重叠和电子密度拓扑数据。大多数指标都认为,由于β自旋流形中能量简并驱动的共价性,系列后半部分的An-Cl键的离子性比基于系列前半部分趋势预期的要小;例如,MdCl3的An-Cl QTAIM离域指数(键级)为0.88,几乎与NpCl3的(0.89)完全相同。相比之下,An-Cl键临界点处动能与势能密度之比表明离子性在整个系列中增加,这表明离域指数衡量了轨道重叠和基于能量简并的共价性,而键临界点指标仅衡量前者。使用广义梯度近似PBE泛函重新计算所有数据发现,与使用混合密度泛函理论相比,后期锕系元素中能量简并驱动的共价性更大。因此,我们发现关于An-Cl键共价性的结论不仅取决于用于评估它的指标,还取决于基础电子结构方法。