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For ET between chemically different donor and acceptor moieties, the reorganization energy can be obtained by averaging the potential energy gaps ΔV of forward
-
For ET between chemically different donor and acceptor moieties, the reorganization energy can be obtained by averaging the potential energy gaps ΔV of forward
-
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49
-
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84906400724
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and backward
-
(i) and backward
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50
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84906372075
-
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processes: λ s, δV i-δV f)/2. Here, ΔV is the difference between two potential energies, calculated at the same solvent configuration, but with the hole located at the initial and final states of each of the two reactions. For such nonsymmetric ET at the shortest distances, 3.4 and 6.8 Å, the standard deviations S i and S f of the corresponding potential energy gaps were averaged according to S 2, S i 2, S f 21/2/2; for details, see ref 33
-
(f) processes: λ s ) (δV i-δV f)/2. Here, ΔV is the difference between two potential energies, calculated at the same solvent configuration, but with the hole located at the initial and final states of each of the two reactions. For such nonsymmetric ET at the shortest distances, 3.4 and 6.8 Å, the standard deviations S i and S f of the corresponding potential energy gaps were averaged according to S 2) (S i 2 + S f 2)1/2/2; for details, see ref 33.
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52
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84906357498
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The result, 1.77 0.27 eV, of this latter setup should be treated with caution because the DNA solute is artificially underpolarized. Therefore, this perturbation cannot be considered as small, as the energetics is notably affected.
-
The result, 1.77 ( 0.27 eV, of this latter setup should be treated with caution because the DNA solute is artificially underpolarized. Therefore, this perturbation cannot be considered as small, as the energetics is notably affected.
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53
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84906357499
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Edge effects are indeed negligible. For instance, we obtained λ s 1.23 ( 0.24 eV for the sequence 5-GG +GG GG-3(R DA ) 6.8 Å) and 1.43 ( 0.24 eV for the sequence 5-GG +GGG G-3(R DA ) 10.1 Å), both for B-DNA. The terminal sequences are different from the standard cases of the present work (Table 3), but the λ s values are essentially the same within standard deviations: 1.17 ( 0.22 eV (R DA ) 6.8 Å, X(3) ) T) and 1.51 ( 0.25 eV (R DA ) 6.8 Å, X(4) ) TT).
-
Edge effects are indeed negligible. For instance, we obtained λ s ) 1.23 ( 0.24 eV for the sequence 5-GG +GG GG-3(R DA ) 6.8 Å) and 1.43 ( 0.24 eV for the sequence 5-GG +GGG G-3(R DA ) 10.1 Å), both for B-DNA. The terminal sequences are different from the standard cases of the present work (Table 3), but the λ s values are essentially the same within standard deviations: 1.17 ( 0.22 eV (R DA ) 6.8 Å, X(3) ) T) and 1.51 ( 0.25 eV (R DA ) 6.8 Å, X(4) ) TT).
-
-
-
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63
-
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84906400723
-
-
Such corrections increase the value of λ by 5-20% as shown by studies of the temperature dependence of ET rates in DNA duplexes; e.g, see ref 21
-
Such corrections increase the value of λ by 5-20% as shown by studies of the temperature dependence of ET rates in DNA duplexes; e.g., see ref 21.
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66
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43449100329
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The derivative is approximated as finite difference, ?λ s/?R DA ̃ (λi +1-λi )/ΔR DA with ΔR DA ) 3.4 Å in all cases.
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The derivative is approximated as finite difference, ?λ s/?R DA ̃ (λi +1-λi )/ΔR DA with ΔR DA ) 3.4 Å in all cases.
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We refer to the earlier results of F. D. Lewis (see refs 66 and 67) despite the fact that they were recently reconsidered:
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We refer to the earlier results of F. D. Lewis (see refs 66 and 67) despite the fact that they were recently reconsidered:
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