Table 3.
Second-order perturbation theory analysis of fock matrix in NBO basis.
Donor | Type | ED/e | Acceptor | Type | ED/e | E(2) (a) kcal/mol |
E(j)-E(i) (b) a.u. |
F(i,j) (c) a.u. |
---|---|---|---|---|---|---|---|---|
C 1 - C 2 | π | 1.741 | C 3 - C 4 | π∗ | 0.2669 | 18.21 | 0.29 | 0.065 |
C 1 - C 2 | π | C 5 - C 10 | π∗ | 0.4899 | 14.6 | 0.3 | 0.063 | |
C 1 - C 10 | σ | 1.9664 | C 1 - C 2 | σ∗ | 0.0252 | 3.25 | 1.19 | 0.056 |
C 1 - C 10 | σ | C 2 -Br 13 | σ∗ | 0.0299 | 4.83 | 0.79 | 0.055 | |
C 1 - C 10 | σ | C 5 - C 10 | σ∗ | 0.0353 | 3.66 | 1.24 | 0.06 | |
C 1 - H 14 | σ | 1.9804 | C 2 - C 3 | σ∗ | 0.2632 | 3.92 | 1.04 | 0.057 |
C 1 - H 14 | σ | C 5 - C 10 | σ∗ | 0.0353 | 4.27 | 1.08 | 0.061 | |
C 3 - C 4 | σ | 1.9726 | C 2 -Br 13 | σ∗ | 0.0299 | 4.92 | 0.8 | 0.056 |
C 3 - C 4 | σ | C 5 - C 6 | σ∗ | 0.0192 | 3.1 | 1.24 | 0.055 | |
C 3 - C 4 | π | 1.727 | C 1 - C 2 | π∗ | 0.3407 | 18.2 | 0.26 | 0.062 |
C 3 - C 4 | π | C 5 - C 10 | π∗ | 0.4899 | 16.74 | 0.29 | 0.066 | |
C 3 - H 15 | σ | 1.9806 | C 1 - C 2 | σ∗ | 0.0252 | 4.06 | 1.03 | 0.058 |
C 3 - H 15 | σ | C 4 - C 5 | σ∗ | 0.0204 | 3.25 | 1.06 | 0.052 | |
C 4 - C 5 | σ | 1.9746 | C 5 - C 6 | σ∗ | 0.0192 | 3.07 | 1.23 | 0.055 |
C 4 - C 5 | σ | C 5 - C 10 | σ∗ | 0.0353 | 3.6 | 1.25 | 0.06 | |
C 4 - H 16 | σ | 1.9809 | C 2 - C 3 | σ∗ | 0.0263 | 3.31 | 1.04 | 0.053 |
C 4 - H 16 | σ | C 5 - C 10 | σ∗ | 0.0353 | 4.34 | 1.08 | 0.061 | |
C 5 - C 6 | σ | 1.9724 | C 5 - C 10 | σ∗ | 0.0353 | 3.54 | 1.24 | 0.059 |
C 5 - C 6 | σ | C 7 - O 11 | σ∗ | 0.0268 | 3.53 | 1.06 | 0.055 | |
C 5 - C 10 | σ | 1.9625 | C 1 - C 10 | σ∗ | 0.0232 | 3.31 | 1.2 | 0.056 |
C 5 - C 10 | σ | C 1 - H 14 | σ∗ | 0.0129 | 2.05 | 1.09 | 0.042 | |
C 5 - C 10 | σ | C 4 - C 5 | σ∗ | 0.0240 | 3.41 | 1.22 | 0.058 | |
C 5 - C 10 | σ | C 5 - C 6 | σ∗ | 0.0192 | 3.28 | 1.23 | 0.057 | |
C 5 - C 10 | σ | C 6 - H 17 | σ∗ | 0.0117 | 2.02 | 1.1 | 0.042 | |
C 5 - C 10 | σ | C 9 - C 10 | σ∗ | 0.0205 | 3.49 | 1.23 | 0.059 | |
C 5 - C 10 | π | 1.5198 | C 1 - C 2 | π∗ | 0.3407 | 20 | 0.25 | 0.065 |
C 5 - C 10 | π | C 3 - C 4 | π∗ | 0.2669 | 16.62 | 0.26 | 0.062 | |
C 5 - C 10 | π | C 6 - C 7 | π∗ | 0.3121 | 16.25 | 0.26 | 0.061 | |
C 5 - C 10 | π | C 8 - C 9 | π∗ | 0.2732 | 17.55 | 0.26 | 0.064 | |
C 6 - C 7 | σ | 1.9776 | C 7 - C 8 | σ∗ | 0.0318 | 3.21 | 1.22 | 0.056 |
C 6 - C 7 | π | 1.7067 | C 5 - C 10 | π∗ | 0.4899 | 18.03 | 0.29 | 0.068 |
C 6 - C 7 | π | C 8 - C 9 | π∗ | 0.2732 | 17.59 | 0.27 | 0.062 | |
C 6 - H 17 | σ | 1.9792 | C 5 - C 10 | σ∗ | 0.0353 | 4.38 | 1.08 | 0.062 |
C 6 - H 17 | σ | C 7 - C 8 | σ∗ | 0.0318 | 4.04 | 1.04 | 0.058 | |
C 7 - C 8 | σ | 1.9789 | C 6 - C 7 | σ∗ | 0.0257 | 3.18 | 1.24 | 0.056 |
C 8 - C 9 | σ | 1.9781 | C 1 - C 10 | σ∗ | 0.0232 | 2.98 | 1.21 | 0.054 |
C 8 - C 9 | σ | C 7 - C 8 | σ∗ | 0.0318 | 2.17 | 1.22 | 0.046 | |
C 8 - C 9 | σ | C 7 - O 11 | σ∗ | 0.0268 | 3.63 | 1.06 | 0.055 | |
C 8 - C 9 | π | 1.7395 | C 5 - C 10 | π∗ | 0.4899 | 15.71 | 0.29 | 0.064 |
C 8 - C 9 | π | C 6 - C 7 | π∗ | 0.3121 | 19.8 | 0.28 | 0.067 | |
C 8 - H 18 | σ | 1.9784 | C 6 - C 7 | σ∗ | 0.0257 | 4 | 1.06 | 0.058 |
C 8 - H 18 | σ | C 9 - C 10 | σ∗ | 0.0205 | 3.27 | 1.07 | 0.053 | |
C 9 - C 10 | σ | 1.9739 | C 1 - C 10 | σ∗ | 0.0232 | 3.35 | 1.2 | 0.057 |
C 9 - C 10 | σ | C 5 - C 10 | σ∗ | 0.0353 | 3.66 | 1.25 | 0.06 | |
C 9 - H 19 | σ | 1.9820 | C 5 - C 10 | σ∗ | 0.0353 | 4.37 | 1.08 | 0.062 |
C 9 - H 19 | σ | C 7 - C 8 | σ∗ | 0.0318 | 3.3 | 1.05 | 0.053 | |
O 11 - C 12 | σ | 1.9825 | C 12 - H 22 | σ∗ | 0.0181 | 25.23 | 4.26 | 0.293 |
C 12 - H 20 | σ | 1.9911 | C 7 - O 11 | σ∗ | 0.0268 | 3.73 | 0.89 | 0.052 |
C 12 - H 20 | σ | C 12 - H 22 | σ∗ | 0.0181 | 9.39 | 3.95 | 0.172 | |
C 12 - H 21 | σ | 1.9937 | C 12 - H 22 | σ∗ | 0.0181 | 5.56 | 3.97 | 0.133 |
C 12 - H 22 | σ | 1.9956 | C 12 - H 20 | σ∗ | 0.0112 | 4.78 | 0.97 | 0.061 |
C 12 - H 22 | σ | C 12 - H 21 | σ∗ | 0.0180 | 5.91 | 1.02 | 0.069 | |
C 12 - H 22 | σ | C 12 - H 22 | σ∗ | 0.0181 | 39.46 | 3.96 | 0.354 | |
O 11 | LP (1) | 1.9521 | C 7 - C 8 | σ∗ | 0.0318 | 6.36 | 1.04 | 0.073 |
O 11 | LP (2) | 1.8952 | C 6 - C 7 | σ∗ | 0.0257 | 4.62 | 0.89 | 0.058 |
O 11 | LP (2) | C 6 - C 7 | π∗ | 0.3121 | 12.43 | 0.38 | 0.065 | |
O 11 | LP (2) | C 12 - H 21 | σ∗ | 0.0180 | 4.91 | 0.85 | 0.059 | |
Br 13 | LP (2) | 1.9725 | C 1 - C 2 | σ∗ | 0.0252 | 3.68 | 0.8 | 0.049 |
Br 13 | LP (2) | C 2 - C 3 | σ∗ | 0.0263 | 3.87 | 0.82 | 0.05 | |
Br 13 | LP (3) | 1.9300 | C 1 - C 2 | π∗ | 0.3407 | 11.48 | 0.3 | 0.056 |
E (2) represents the stabilization energy coupled with each donor (i) and acceptor (j) orbitals.
Ei and Ej are the diagonal elements expressed in a.u.
Fij is the second order Fock matrix.