<p>Metal-doped endohedral borospherenes M@B<sub>40</sub> have attracted considerable attention since the discovery of the first boroshphenes B<sub>40</sub><sup>−/0</sup> in 2014. Systematical density functional theory investigations performed herein unveil the ground-state structures and coordination bonding patterns of a series of lanthanide-doped endohedral borospherenes Ln@B<sub>40</sub><sup>0/+</sup>, including the doublet <i>C</i><sub>2<i>v</i></sub> Ce@B<sub>40</sub><sup>+</sup> (<b>1</b>, <sup>2</sup>B<sub>1</sub>), triplet <i>C</i><sub>2<i>v</i></sub> Ce@B<sub>40</sub> (<b>2</b>, <sup>3</sup>A<sub>2</sub>), quartet <i>C</i><sub>2<i>v</i></sub> Pr@B<sub>40</sub> (<b>3</b>, <sup>4</sup>B<sub>1</sub>), quintet <i>C</i><sub>2<i>v</i></sub> Nd@B<sub>40</sub> (<b>4</b>, <sup>5</sup>A<sub>1</sub>), sextet <i>C</i><sub>2</sub> Pm@B<sub>40</sub> (<b>5</b>, <sup>6</sup>A), septet <i>C</i><sub>2<i>v</i></sub> Sm@B<sub>40</sub> (<b>6</b>, <sup>7</sup>A<sub>2</sub>), octet <i>D</i><sub>2<i>d</i></sub> Eu@B<sub>40</sub> (<b>7</b>, <sup>8</sup>B<sub>1</sub>), and octet <i>C</i><sub>2<i>v</i></sub> Gd@B<sub>40</sub><sup>+</sup> (<b>8</b>, <sup>8</sup>A<sub>2</sub>). Detailed principal interaction spin orbital (PISO) and adaptive natural density partitioning (AdNDP) bonding pattern analyses indicate that, with the number of unpaired α-electrons changing from n<sub>α</sub> = 1, 2, 3, 4, 5, 6, 7, to 7 in the series, their coordination bonding energies decrease monotonically from <i>E</i><sub>c</sub> = 7.22, 6.93, 5.67, 4.85, 4.67, 4.29, 4.02, to 2.07&#xa0;eV, respectively, with the dominating percentage contributions of the Ln 5d-involved PISOs to the overall <i>E</i><sub>c</sub> increasing almost monotonically from 66 to 83%, while the minor contributions of the Ln 4f-involved PISOs varying between 0.3% and 12.1% and that of Ln 6s-involved PISO pairs remaining basically unchanged in a narrow range between 6% and 8%. In average, the dominating 5d-invloved PISOs in Ln@B<sub>40</sub> contribute about 72.8% to the overall <i>E</i><sub>c</sub>, 19.3% higher than that (53.4%) of the 6d-involved PISOs in the newly reported actinide-doped An@B<sub>40</sub><sup>+/0/−</sup>, while the minor 4f-involved PISOs in Ln@B<sub>40</sub> contribute about 6.1% to <i>E</i><sub>c</sub>, 15.7% lower than that (21.8%) of the 5f-invloved PISOs in An@B<sub>40</sub><sup>+/0/−</sup>, quantitatively unveiling the differences in coordination bonding patterns between Ln@B<sub>40</sub><sup>+/0</sup> and An@B<sub>40</sub><sup>+/0/−</sup>.</p> Graphical Abstract <p></p>

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Structures and Bonding of Lanthanide-Doped Endohedral Borospherenes Ln@B400/+ (Ln = Ce, Pr, Nd, Pm, Sm, Eu, Gd)

  • Xiao-Ni Zhao,
  • Ting Zhang,
  • Xiao-Qin Lu,
  • Si-Dian Li

摘要

Metal-doped endohedral borospherenes M@B40 have attracted considerable attention since the discovery of the first boroshphenes B40−/0 in 2014. Systematical density functional theory investigations performed herein unveil the ground-state structures and coordination bonding patterns of a series of lanthanide-doped endohedral borospherenes Ln@B400/+, including the doublet C2v Ce@B40+ (1, 2B1), triplet C2v Ce@B40 (2, 3A2), quartet C2v Pr@B40 (3, 4B1), quintet C2v Nd@B40 (4, 5A1), sextet C2 Pm@B40 (5, 6A), septet C2v Sm@B40 (6, 7A2), octet D2d Eu@B40 (7, 8B1), and octet C2v Gd@B40+ (8, 8A2). Detailed principal interaction spin orbital (PISO) and adaptive natural density partitioning (AdNDP) bonding pattern analyses indicate that, with the number of unpaired α-electrons changing from nα = 1, 2, 3, 4, 5, 6, 7, to 7 in the series, their coordination bonding energies decrease monotonically from Ec = 7.22, 6.93, 5.67, 4.85, 4.67, 4.29, 4.02, to 2.07 eV, respectively, with the dominating percentage contributions of the Ln 5d-involved PISOs to the overall Ec increasing almost monotonically from 66 to 83%, while the minor contributions of the Ln 4f-involved PISOs varying between 0.3% and 12.1% and that of Ln 6s-involved PISO pairs remaining basically unchanged in a narrow range between 6% and 8%. In average, the dominating 5d-invloved PISOs in Ln@B40 contribute about 72.8% to the overall Ec, 19.3% higher than that (53.4%) of the 6d-involved PISOs in the newly reported actinide-doped An@B40+/0/−, while the minor 4f-involved PISOs in Ln@B40 contribute about 6.1% to Ec, 15.7% lower than that (21.8%) of the 5f-invloved PISOs in An@B40+/0/−, quantitatively unveiling the differences in coordination bonding patterns between Ln@B40+/0 and An@B40+/0/−.

Graphical Abstract