Table 3. Calculated Excitation Energy, Oscillator Strength, and Rotatory Strength for First Three Transitions in Brominated [2.2]Paracyclophanes 1–2a.
cyclophane | method | E1 | f1 | R1 | E2 | f2 | R2 | E3 | f3 | R3 |
---|---|---|---|---|---|---|---|---|---|---|
1 | RI-CC2 | 4.27 | 0.0001 | –1.9 | 4.57 | 0.0008 | –1.2 | 5.03 | 0.013 | –86 |
RI-ADC(2) | 4.27 | 0.0001 | –2.9 | 4.58 | 0.0007 | –1.8 | 5.02 | 0.015 | –87 | |
SAC-CI | 3.17 | 0.0001 | –3.2 | 3.55 | 0.002 | +4.6 | 4.17 | 0.009 | –74 | |
M06-2X | 4.47 | 0.0001 | –3.9 | 4.80 | 0.001 | –1.0 | 4.96 | 0.012 | –83 | |
CAM-B3LYP | 4.46 | 0.0002 | –4.8 | 4.78 | 0.001 | –4.8 | 4.91 | 0.010 | –39 | |
BHLYP | 4.54 | 0.0003 | –7.6 | 4.82 | 0.002 | –20 | 4.96 | 0.006 | –15 | |
p-2 | RI-CC2 | 4.19 | 0.0002 | +2.8 | 4.50 | 0.001 | –13 | 4.91 | 0.031 | –98 |
RI-ADC(2) | 4.19 | 0.0001 | +1.8 | 4.50 | 0.001 | –14 | 4.89 | 0.041 | –109 | |
SAC-CI | 3.11 | 0.0003 | +1.4 | 3.48 | 0.001 | –6.6 | 4.04 | 0.028 | –83 | |
M06-2X | 4.43 | 0.0006 | +3.5 | 4.71 | 0.002 | –27 | 4.88 | 0.035 | –134 | |
CAM-B3LYP | 4.41 | 0.0003 | +1.6 | 4.69 | 0.003 | –25 | 4.83 | 0.026 | –71 | |
BHLYP | 4.50 | 0.0003 | –1.8 | 4.75 | 0.013 | –37 | 4.87 | 0.011 | –49 | |
m′-2 | RI-CC2 | 4.27 | 0.0001 | +3.5 | 4.54 | 0.0005 | –1.1 | 4.99 | 0.039 | –143 |
RI-ADC(2) | 4.27 | 0.0001 | +2.8 | 4.55 | 0.0005 | –1.3 | 4.98 | 0.041 | –148 | |
SAC-CI | 3.19 | 0.0001 | +1.5 | 3.53 | 0.001 | +0.8 | 4.12 | 0.024 | –130 | |
M06-2X | 4.50 | 0.0002 | +6.6 | 4.80 | 0.001 | –0.3 | 4.95 | 0.033 | –130 | |
CAM-B3LYP | 4.48 | 0.0001 | +4.1 | 4.78 | 0.0001 | –1.2 | 4.90 | 0.027 | –64 | |
BHLYP | 4.57 | 0.0001 | +2.9 | 4.84 | 0.009 | –23 | 4.95 | 0.015 | –26 | |
o′-2 | RI-CC2 | 4.27 | 0.0001 | +1.1 | 4.54 | 0.0001 | +0.7 | 5.00 | 0.034 | –132 |
RI-ADC(2) | 4.27 | 0.0001 | +0.4 | 4.54 | 0.0001 | +0.5 | 4.98 | 0.038 | –138 | |
SAC-CI | 3.28 | 0.0001 | +0.1 | 3.61 | 0.001 | +4.7 | 4.21 | 0.024 | –124 | |
M06-2X | 4.50 | 0.0002 | +3.2 | 4.79 | 0.0001 | +1.1 | 4.96 | 0.029 | –115 | |
CAM-B3LYP | 4.48 | 0.001 | +1.1 | 4.76 | 0.0003 | –3.6 | 4.92 | 0.023 | –50 | |
BHLYP | 4.57 | 0.0001 | –0.6 | 4.83 | 0.007 | –23 | 4.97 | 0.013 | –14 |
Calculated n-th excitation energy (En in eV), oscillator strength (fn), and rotatory strength (Rn) at the RI-CC2/def2-TZVPP, RI-ADC(2)/def2-TZVPP, SAC-CI/def2-TZVP, or TD-DFT/def2-TZVP level. Excitation energies and intensities were not shifted or scaled.