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. 2024 Jun 11;25(12):6436. doi: 10.3390/ijms25126436

Table 3.

Interaction energies (ΔE, in kcal/mol) of complexes 1 to 20 at the BP86-D3/def2-TZVPP level of theory. The intermolecular distances and angles (d and α, in Å and °, respectively) corresponding to the HlgB, lp-π, and ancillary interactions, as well as the values of the density at the bond critical point that characterizes the HlgB and lp-π and ancillary interactions (ρ × 100, in a.u.), are also indicated.

Complex
(Material@VOC)
ΔE ΔE per HlgB d * d *CH-π (HC···CH) α ρ × 100 ρ × 100 CH-π (CH···HC)
1 (Cl-PDI@MeOH) −8.1 −4.1 3.053 3.074 160.3 0.99 0.49
2 (Cl-PDI@EtOH) −9.3 −4.7 3.074 3.024 169.2 0.84 0.60
3 (Cl-PDI@PrOH) −10.4 −5.2 2.976 3.138 171.3 1.08 0.54
4 (Cl-PDI@BuOH) −10.4 −5.2 3.290 2.806 146.6 0.58 0.60
5 (Br-PDI@MeOH) −8.4 −4.2 3.054 2.849 159.9 1.07 0.58
6 (Br-PDI@EtOH) −11.3 −5.7 3.073 3.048 167.5 1.04 0.59
7 (Br-PDI@PrOH) −13.3 −6.7 2.953 3.183 174.2 1.38 0.52
8 (Br-PDI@BuOH) −12.2 −6.1 3.186 3.126 159.5 0.85 0.34
Complex ΔE * ΔE per lp-π d * d *CH-π (HC···CH) ρ × 100 ρ × 100 CH-π (CH···HC)
9 (Cl-PDI@MeOH) −15.0 −7.5 2.918 3.120 1.07 0.65
10 (Cl-PDI@EtOH) −16.9 −8.5 2.828 2.641 (3.622) 0.88 0.46 (0.37)
11 (Cl-PDI@PrOH) −22.5 −11.3 2.842 3.075 (3.907) 0.76 0.81 (0.51)
12 (Cl-PDI@BuOH) −23.0 −11.5 2.787 2.765 (3.598) 1.00 0.75 (0.58)
13 (Br-PDI@MeOH) −15.5 −7.8 2.924 2.915 1.08 0.60
14 (Br-PDI@EtOH) −19.7 −9.9 3.070 2.863 (3.460) 0.84 0.64 (0.68)
15 (Br-PDI@PrOH) −22.8 −11.4 2.833 2.845 (3.912) 0.76 0.87 (0.51)
16 (Br-PDI@BuOH) −22.8 −11.4 2.781 2.794 (3.595) 0.98 0.71 (0.53)
17 (PDI@MeOH) −7.2 −3.6 2.904 2.783 1.22 0.77
18 (PDI@EtOH) −15.1 −7.6 2.878 2.873 1.13 0.57
19 (PDI@PrOH) −18.9 −9.5 3.066 2.829 (3.875) 0.87 0.71 (0.59)
20 (PDI@BuOH) −21.3 −10.7 2.960 2.704 (3.730) 1.04 0.77 (0.53)

*(1) Values given as the shortest distance between the VOC and the PDI moiety. In the case of the HC···CH interactions, only those cases where the C···C distance was lower than 4 Å were considered. *(2) The values corresponding to complexes 9 to 20 encompass the lp-π and CH-π interactions. The contribution of the CH-HC interactions between the two alcohol alkyl chains was subtracted from the complex (see Section 3 below).