Table 2. Calculated (B3LYP) Values of Electronic Transition Energies (Eabs and Eem), Oscillator Strengths (f), and Dipole Moments of Conjoined Coumarins in Toluene: μg in the Ground State (S0) and μe in the Excited (S1) Statea.
| S0 state |
S1 state |
S1 vs S0 |
|||||||
|---|---|---|---|---|---|---|---|---|---|
| comp. | Eabs [nm] | f | |μg| [D] | Eem [nm] | f | |μe| [D] | α [deg] | |μe| – |μg| [D] | |μe – μg| [D] |
| 3 | 412.5 | 0.8229 | 14.85 | 451.9 | 0.5716 | 19.32 | 29.9 | 4.47 | 3.52 |
| 5 | 425.8 | 0.7251 | 14.97 | 478.6 | 0.4891 | 19.48 | 30.5 | 4.51 | 2.65 |
| 7 | 458.3 | 0.0650 | 10.37 | ||||||
| 8 | 442.1 | 0.2241 | 14.65 | 597.7 | 0.1038 | 19.24 | 30.0 | 4.59 | 3.76 |
| 10 | 476.1 | 0.5061 | 16.16 | 542.7 | 0.3056 | 24.17 | 33.5 | 8.01 | 3.40 |
| 11 | 475.7 | 0.5629 | 16.10 | 539.0 | 0.3311 | 23.90 | 33.3 | 7.80 | 3.82 |
| 12 | 472.5 | 0.4919 | 16.29 | 543.4 | 0.2879 | 24.18 | 32.7 | 8.17 | 3.90 |
| 13 | 473.6 | 0.4783 | 16.54 | 545.1 | 0.2809 | 24.45 | 32.1 | 7.91 | 3.88 |
| 15 | 454.6 | 0.4179 | 14.03 | 583.8 | 0.2165 | 19.94 | 30.9 | 5.91 | 3.00 |
| 16 | 424.4 | 0.4085 | 14.13 | 547.2 | 0.1994 | 19.12 | 29.6 | 4.99 | 3.28 |
| 17 | 430.9 | 0.3985 | 14.41 | 554.9 | 0.1979 | 19.33 | 28.5 | 4.93 | 3.37 |
| 18 | 418.0 | 0.5089 | 12.94 | ||||||
| 19 | 405.3 | 0.5723 | 13.51 | 459.3 | 0.3772 | 19.51 | 38.1 | 6.00 | 3.38 |
| 20 | 399.7 | 0.1303 | 12.26 | 511.8 | 0.0705 | 15.91 | 37.7 | 3.65 | 3.23 |
α is the angle between μg and μe; |μe| – |μg| is the difference in scalar values of dipole moments; |μe – μg| is the value of the vector difference between both vectors—this is the factor that determines the size of the solvatochromic effect, as it is known from the theory of the Lippert–Mataga solvent effect.42 Lippert–Mataga expressions are recalled in the Supporting Information.