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. 2016 Jul 6;12(8):3993–4003. doi: 10.1021/acs.jctc.6b00498

Table 3. Excess Dipole Moment, Determined through eq 2 and Listed in Debye for the Compounds of Scheme 2a.

  State CC2 B3LYP PBE0 M06 BMK SOGGA11-X M06-2X M06-HF CAM-B3LYP M11 ωB97X-D
16 A (π → π*) 8.25 8.35 7.91 6.88 6.61 6.32 5.81 4.16 5.25 4.21 4.77
17 A (π → π*) 21.81 19.94 19.93 19.35 18.93 18.22 17.28 11.39 16.07 12.56 14.11
18 A (π → π*) 0.64 3.35 3.25 2.24 0.83 2.01 0.77 0.68 1.81 0.71 0.66
19 A″ (π → π*) 0.24 0.14 0.14 0.10 0.14 0.12 0.15 0.15 0.12 0.16 0.13
20 A′ (π → π*) 3.09 5.21 4.8 4.29 3.22 3.47 2.49 1.03 2.36 1.44 2.12
21 A (π → π*) 7.82 5.95 5.94 5.32 5.77 5.51 5.38 4.77 5.22 4.66 5.05
22 A (n → π*) 1.68 1.98 1.89 1.93 1.65 1.72 1.51 1.50 1.58 1.42 1.56
  B (π → π*) 1.42 3.52 3.62 3.61 3.95 3.74 3.88 3.96 3.83 3.89 3.78
23 A (π → π*) 5.50 4.62 4.41 3.96 4.02 3.70 3.80 3.04 3.43 3.05 3.21
24 A′ (π → π*) 0.74 0.06 0.05 0.11 0.10 0.07 0.17 0.37 0.12 0.24 0.16
25 A (π → π*) 8.48 4.74 4.83 4.62 4.99 4.92 5.10 5.32 4.88 4.80 4.65
26 A (π → π*) 5.20 9.45 8.41 7.56 5.82 5.85 4.82 2.51 4.23 2.83 3.48
27 A″ (π → π*) 2.25 1.38 0.63b 0.43b 1.63 1.34 1.73 1.77 1.59 1.49 1.52
28 A″ (π → π*) 9.46 9.33 9.18 8.83 8.44 8.32 7.82 5.65 7.80 6.82 7.48
29 A (π → π*) 3.13 3.55 3.35 3.25 2.87 2.92 2.69 1.95 2.70 2.30 2.58
30 A (π → π*) 7.17 10.59 9.74 9.03 7.81 7.68 6.55 4.44 6.25 5.11 5.59
31 A′ (π → π*) 2.16 1.94 1.81 1.62 1.42 1.40 1.34 1.17 1.26 1.08 1.22
  MSE   0.298 0.155 –0.256 –0.637 –0.690 –1.044 –2.070 –1.208 –1.898 –1.586
  MAE   1.515 1.437 1.452 1.122 1.310 1.350 2.374 1.629 2.196 1.867
  max(+)   4.250 3.206 2.356 2.533 2.322 2.465 2.538 2.412 2.466 2.362
  max(−)   –3.741 –3.652 –3.853 –3.484 –3.596 –4.530 –10.420 –5.746 –9.249 –7.699
  R2   0.847 0.878 0.892 0.940 0.929 0.951 0.913 0.939 0.923 0.938
a

Values in italics indicate that the norm of the total ES dipole is smaller than its GS counterpart. At the bottom of the Table, satistical data are given.

b

Strong state-mixing for both PBE0 and M06. These states were removed from the statistics.