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note
-
Since the CT state is shifted to higher energy in the gas-phase calculations, electronic states that are otherwise irrelevant disturb the calculation. The multistate GMH cannot be used either, because it gives an unwanted complete mixing between the excited (non-CT) states and the ground state.
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1242326195
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note
-
We note, in addition, that not even the "average" conformation of our molecule is rigorously of C, symmetry, since the conformations of the ester groups within A are not mirror-symmetric, in the most stable conformation (from preliminary ab initio calculations on the A fragment) shown in Figure 2.
-
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-
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94
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1242281407
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note
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Autocorrelation function can be evaluated only if the sign of V(t) is computed consistently. The sign of V(t) depends on the sign of the DA orbitals involved in the CT and is arbitrary. However. once assigned it should not change. We used an ad hoe algorithm that locks the sign of the orbital to its value at t = 0. Using this algorithm the TS component for the symmetry-allowed CR coupling always has the same sign. This is the main cause of the non-zero value of the 〈V〉 for the CR process. Moreover. the coupling produced by a solvent molecule placed in two mirror symmetric position is identical for the CR case (leading to 〈V〉 ≠ 0) and opposite in sign for the symmetry-forbidden CS process (leading to 〈V〉 = 0).
-
-
-
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95
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1242348726
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note
-
Analysis of Figure 3b reveals that more than one characteristic time is involved in the decay of 〈V(t)V(0)〉. The fastest component is ∼0. 1 ps. Further investigation of the slower component is omitted because it is not relevant for the experimentally accessible quantities. High-frequency motions (i.e., vibrations of A9DME) do not modulate the coupling significantly because bond-mediated coupling is small in this system.
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96
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1242303691
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note
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We checked that our finding was not due to incomplete sampling of the configurational space by performing repeated simulated annealing from 1000 K. Even when the aryl portion is initially forced into the cavity, the system relaxes to a configuration similar to that of Figure 5. An additional difference with respect to the MeCN and benzene solvent is that the 1,3-DIB molecules are less mobile inside the clamp.
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97
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note
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5N is accompanied by a decrease in the HOMO energy of only 0.5 cV.
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98
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0001380331
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(a) Jung, Y.; Barkai, E.; Silbey, R. J. Adv. Chem. Phys. 2002, 123, 199.
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(2002)
Adv. Chem. Phys.
, vol.123
, pp. 199
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Jung, Y.1
Barkai, E.2
Silbey, R.J.3
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