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. 2022 Apr 12;87(9):5961–5975. doi: 10.1021/acs.joc.2c00232

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 g| [D] Eem [nm] f e| [D] α [deg] e| – |μg| [D] e – 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
a

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.