Handbook of Aggregation-Induced Emission, Volume 1. Группа авторов

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excitation energy, the RRS plot of HPDMCb in both solution and solid phases is shown in Figure 2.6b, and the blue shift of the low‐frequency peaks with the relatively decreased RRS intensity fully reflects the change character of the reorganization energies. In addition, the high‐frequency normal modes are almost unresponsive to the environment, as shown in both reorganization energies and RRS signals for AIE‐active HPDMCb. Therefore, the above‐proposed AIE mechanism is successfully confirmed by RRS signals and the RRS can act as a good detection means of AIE property.

Table 2.4 The calculated spectral properties and reorganization energies corrected by zero‐point energy for DSA, DCDPP, and TPBD in solution and aggregate phase, respectively.

      Source: © 2014 Royal Society of Chemistry.

Unit: eV	Absorption	Emission	Stokes shift	Reorganization energy
						κ sol	κ agg
DSA [57]	2.82	2.75	0.07	2.18	2.01	0.17	0.74	0.64	0.74	0.64
DCDPP [57]	3.36	3.24	0.12	2.53	2.19	0.34	1.05	0.83	1.05	0.83
TPBD [57]	3.72	3.55	0.17	2.98	2.51	0.47	1.04	0.74	1.03	0.73

Table 2.5 Calculated k_r, k_ic, and Φ_F in both solution and aggregate phases at room temperature for HPDMCb and DCPP, respectively.

	k r (s−1)	k ic (s−1)	Φ F (%)	k r (s−1)	k ic (s−1)	Φ F (%)
	In isolated state			In solid phase
HPDMCb [61]	8.64 × 107	1.31 × 1011	0.07	7.95 × 107	2.29 × 107	78.0
DCPP [61]	7.98 × 106	1.01 × 106	88.8	3.30 × 106	0.61 × 106	84.4

      2.4.3 Isotope Effect vs DRE

Isotope effect (IE) has been widely applied to probe the excited‐state decay process [62, 63]. For conventional luminogens, deuteration always causes the remarkable decrease of k_ic while almost has no effect on k_r, leading to greatly increased Φ_F. It is easy to understand because under the displaced harmonic oscillator model based on FGR, k_ic is proportional to when assuming one average accepting‐mode approximation, in which S denotes the Huang–Rhys factor and is determined by normal mode reorganization energy S = λ/ℏ. The reorganization energy can be obtained from the calculated excitation energies at the equilibrium geometries of S₀ and S₁ (λ = ΔE_{S1 − geom} − ΔE_{S0 − geom}), which is independent of isotopic substitution owing to the same equilibrium geometries and electronic‐state energy after deuteration. Thus, the decrease of frequencyby deuteration implies the increase of S_j, which largely decreases k_ic owing to the exponentially proportional relation between k_ic and –S mentioned above. It should be known that the conventional luminogens have little DRE for their planar and rigid geometries and the above approximation is suitable for them. While for flexible AIEgens with rotational groups in solution, beyond the displaced harmonic oscillator model, the mixing of different vibrational modes (so‐called DRE) must be considered in k_ic. The DRE always occurs among low‐frequency modes, thus becoming more serious for much more active low‐frequency modes after deuteration, which sharply increases the k_ic. Therefore, the deuteration gives rise to two competitive effects on k_ic: the normal negative effect through increasing S_j and the abnormally positive effect via the enhancement of DRE (Figure 2.7a) [64]. Thus, it can also be easily understood

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