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 |
Values in italics indicate that the norm of the total ES dipole is smaller than its GS counterpart.
M11-L yields excited-states that have a different nature for those two molecules explaining the large discrepancies.
Average value obtained from two nearly degenerated excited-states (see Table S-3 in the SI for details).
Dipole moments determined from the center of mass for this charged compound.
With PBE0, there is a strong mixing between the n → π* and π → π* like states that are nearly degenerate.