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

Table 1. Excess Dipole Moments Determined through eq 2 and Listed in Debye for the Compounds of Scheme 1a.

  state CC2 SVWN5 BLYP BP86 OLYP M06-L M11-L B3LYP PBE0 M06 BMK SOGGA11-X M06-2X M06-HF CAM-B3LYP M11 ωB97X-D
1 B2 (π → π*) 0.15 0.15 0.14 0.15 0.14 0.14 0.18 0.20 0.22 0.26 0.28 0.30 0.32 0.42 0.34 0.42 0.35
2 A′(π → π*) 3.24 3.80 3.60 3.59 3.59 3.43 3.12 2.98 2.88 2.80 2.75 2.70 2.72 2.56 2.59 2.44 2.46
  A″ (n → π*) 4.26 5.26 5.25 5.25 5.23 5.23 5.27 4.59 4.45 4.47 4.07 4.21 3.83 3.99 4.02 3.81 4.05
3 A (π → π*) 4.34 7.60 7.30 7.55 6.96 7.42 2.56b 4.84 4.64 7.14c 3.81 3.42 3.34 2.22 2.98 2.38 2.79
4 A (π → π*) 0.43 0.54 0.47 0.48 0.40 0.42 3.23b 0.44 0.42 0.37 0.47 0.35 0.47 0.47 0.42 0.43 0.40
  A (n → π*) 2.46 2.81 2.86 2.85 2.87 2.87 13.62b 2.67 2.63 2.73 2.44 2.58 2.33 2.47 2.45 2.33 2.47
5 A (n → π*) 4.84 5.65 5.63 5.65 5.64 5.74 5.89 5.12 4.98 4.99 4.27 4.50 3.80 2.88 4.20 3.54 4.21
  A (π → π*) 1.19c 1.18 1.17 1.14 1.15 1.16 0.78 1.16 1.15 1.06 1.22 1.08 1.26 1.21 1.15 1.19 1.13
6 A (π → π*) 2.79 1.58 1.73 1.71 1.79 2.04 2.23 2.17 2.26 2.36 2.45 2.59 2.69 3.06 2.36 2.48 2.27
7 A (π → π*) 1.78 2.12 2.02 2.10 2.03 2.13 1.68 1.79 1.79 1.57 1.47 1.59 1.62 1.42 1.61 1.63 1.62
8 A(π → π*) 3.88 5.02 5.04 4.97 4.97 5.09 4.50 4.69 4.58 4.29 4.31 4.12 3.86 3.18 3.94 3.52 3.87
9 A1 (π → π*) 12.59 9.45 9.37 9.39 9.33 9.19 9.96 10.60 10.57 10.72 9.74 10.10 9.32 11.23 9.32 10.52 9.48
  B1 (π → π*) 13.80 6.39 6.64 6.60 6.49 6.78 5.98 6.17 6.29 5.55 6.20 5.85 7.59 6.56 6.27 6.34 6.66
10 A (π → π*) 4.20 3.10 3.07 3.04 2.99 2.98 2.70 2.73 2.69 2.53 2.67 2.56 2.76 2.98 2.66 2.77 2.67
11d B2 (π → π*) 1.31 1.26 1.24 1.26 1.25 1.33 1.42 1.30 1.31 1.29 1.32 1.32 1.30 1.31 1.30 1.36 1.32
12 A′ (π → π*) 1.01 1.24 1.19 1.21 1.20 1.20 1.27 1.17 1.17 0.95 1.10 1.09 1.02 0.89 1.05 0.96 1.05
13 A (n → π*) 4.15 7.91 7.90 7.94 8.01 7.80 7.73 5.38 3.40e 5.16 3.72 4.62 4.04 4.03 4.23 3.89 4.18
  A (π → π*) 5.00 5.90 5.78 5.78 5.83 7.73 4.44 3.83 1.89e 3.28 2.57 2.99 3.05 2.41 2.69 2.35 2.45
14 A (π → π*) 4.72 5.46 5.19 5.25 5.16 4.89 3.63 3.43 3.25 2.73 2.87 2.62 2.74 2.31 2.37 2.12 2.22
15 A′ (π → π*) 2.68 9.27 9.16 8.98 9.03 8.15 8.00 4.62 4.01 3.17 2.69 2.48 2.24 1.25 1.81 1.36 1.61
a

Values in italics indicate that the norm of the total ES dipole is smaller than its GS counterpart.

b

M11-L yields excited-states that have a different nature for those two molecules explaining the large discrepancies.

c

Average value obtained from two nearly degenerated excited-states (see Table S-3 in the SI for details).

d

Dipole moments determined from the center of mass for this charged compound.

e

With PBE0, there is a strong mixing between the n → π* and π → π* like states that are nearly degenerate.