Fluorescence Modulation by Amines: Mechanistic Insights into Twisted Intramolecular Charge Transfer (TICT) and Beyond

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Introduction
Light-emitting dyes with specific photophysical properties such as color and fluorescence quantum efficiency are pivotal to the advancement of modern chemical and biological imaging and sensing applications across many disciplines [1][2][3][4][5].The amine groups play a special role in these regards due to their pronounced electron-donating capabilities with a lone electron pair that yield interesting electronic and geometrical properties.For example, the amine group is a common constituent of red/near-infrared dyes because it promotes intramolecular charge transfer (ICT) in the electronic excited state [2] which is mechanistically more efficient in reducing the electronic transition energy gaps than expanding π-conjugation in hydrocarbons.Besides the effects on color, recent decades of research efforts on flexible amines (prone to rotation around the amine-backbone bond) have revealed another aspect of their properties: the fluorescence quantum yield (FQY, directly proportional to the molecular brightness that is the product of FQY and extinction coefficient) can be markedly influenced by the amine group.One significant underpinning is twisted intramolecular charge transfer (TICT) that suggests the formation of a charge transfer (CT) state with a perpendicular conformation via intramolecular rotation around a chemical bond [6][7][8][9][10][11][12].The interest in TICT stemmed from the discovery of unusual dual fluorescence of 4-dimethyaminobenzonitrile (DMABN) in polar solvents by Lippert et al. in the 1960s [13].The pertinent study then motivated intensive investigations with debates about the origin of dual fluorescence bands [14][15][16][17][18][19][20][21][22][23][24][25][26][27].After extensive experimental and theoretical efforts, the TICT mechanism has gained the most popularity to explain the nature of the long-wavelength emission band in DMABN.Consequently, the short-and unusual long-wavelength bands have been attributed to the locally excited (LE) and TICT states in view of their different sensitivities to solvent polarity and geometries (Figure 1a) [6].
Chemosensors 2023, 11, x 2 with debates about the origin of dual fluorescence bands [14][15][16][17][18][19][20][21][22][23][24][25][26][27].After extensive ex mental and theoretical efforts, the TICT mechanism has gained the most populari explain the nature of the long-wavelength emission band in DMABN.Consequently short-and unusual long-wavelength bands have been attributed to the locally excited and TICT states in view of their different sensitivities to solvent polarity and geome (Figure 1a) [6]. ) are indicated by solid, dashed, and wavy arrows, respectively.In case of an emi TICT state, blue and red curves represent the presumable 1 La and 1 Lb states, respectively, in emission molecules such as DMABN.The crossing of two potential energy curves of 1 La an states is depicted by dashed lines.S1 and S2 potential energy curves are shown as an avoided c ing to demonstrate the precursor-successor relationship between LE and TICT states.
In recent decades, researchers have expanded attention to more molecular scaff and examined a wider array of structures, particularly with the amine group as a twis unit, to elucidate the properties of TICT [7].In contrast to DMABN and its close analog most of these amine-containing chromophores exhibit a single emission band with ce degrees of intramolecular charge transfer (ICT) character and marked solvent pola dependent FQYs (Figure 1b) [28][29][30][31][32][33][34][35].Both experiments and computations suppor idea that TICT occurs in these molecules and is responsible for the observed fluoresc dependence on the solvent polarity [7].However, the TICT states in these cases have shown to be completely dark due to the zero orbital overlap at the perpendicular geo try between the amine group and the aromatic backbone.The difference between the ecules with an emissive and non-emissive TICT state is also associated with their exc state dynamics as illustrated by the potential energy curves along the amine-twistin ordinate (Figure 1c,d).In recent decades, researchers have expanded attention to more molecular scaffolds and examined a wider array of structures, particularly with the amine group as a twisting unit, to elucidate the properties of TICT [7].In contrast to DMABN and its close analogues, most of these amine-containing chromophores exhibit a single emission band with certain degrees of intramolecular charge transfer (ICT) character and marked solvent polarity-dependent FQYs (Figure 1b) [28][29][30][31][32][33][34][35].Both experiments and computations support the idea that TICT occurs in these molecules and is responsible for the observed fluorescence dependence on the solvent polarity [7].However, the TICT states in these cases have been shown to be completely dark due to the zero orbital overlap at the perpendicular geometry between the amine group and the aromatic backbone.The difference between the molecules with an emissive and non-emissive TICT state is also associated with their excited-state dynamics as illustrated by the potential energy curves along the amine-twisting coordinate (Figure 1c,d).
The dark-state attribute of TICT is very useful in modulating the fluorescence of small organic dyes as fluorescent labels and probes in bioimaging and biosensing applications.For example, suppressing TICT in rhodamines with strategic amine groups can significantly boost the FQY and increase the chromophore photostability, which greatly benefits the super-resolution imaging [36][37][38].Though the molecules with an emissive TICT state such as DMABN do not directly connect to practical applications, they have served as molecular prototypes and provided important insights into the TICT process.
Moreover, the studies on DMABN and other dual-fluorescence analogues have revealed major fluorescence quenching pathways including intersystem crossing (ISC) and excited-to-ground-state internal conversion (IC), which account for their low FQYs (both LE and TICT fluorescence).These radiationless pathways have seldom been discussed for rigid amine-containing organic fluorophores without major nuclear motion-induced deactivation pathways including TICT.Many of these fluorophores only exhibit moderate FQYs, indicative of the presence of other nonradiative pathways such as those governed by the energy gap law.A comprehensive understanding of all possible pathways and their influences is crucial for the rational development of ideal fluorescent molecules and materials for diverse applications.
Although some related topics, particularly TICT, have been reviewed in the past decades, a comprehensive review solely on the amine-containing chromophores highlighting the role of amine groups is still lacking.Our current review aims to (1) provide an overview of key results for validation of the TICT mechanism by both experimental and computational studies, including systems with emissive and non-emissive TICT states; (2) summarize the factors affecting TICT based on the large pool of reported fluorophores; and (3) briefly introduce some other fluorescence quenching mechanisms, which are universal but may be much less influential than TICT.We will focus our discussion on the amine-containing molecules in which there are no other major rotating units (i.e., negligible contributions to the nonradiative decay pathways) beside the amine group or amine twisting is also inhibited.

Insights into the Chromophores with an Emissive TICT State
The establishment and validation of the TICT model as the prevailing mechanism to explain the prototypical dual-fluorescence molecule DMABN are based on decades of intensive experimental and theoretical efforts.Lippert et al. explained the dual fluorescence by two excited states, namely, 1 L a and 1 L b [13].Due to the measured large permanent (electric) dipole moment and pronounced solvatochromism, the long-wavelength band ( 1 L a ) is attributed to the lower-lying CT state (A band), while the short-wavelength band ( 1 L b ) is the higher-lying LE state (B band) as shown in Figure 1c.Lippert et al. ascribed the dual fluorescence bands to the inversion of 1 L a and 1 L b states during the reorientational relaxation in a polar solvent.However, this interpretation contradicts the polarization experiments and fluorescence properties in viscous solvents such as glycerol [39].Therefore, Grabowski et al. later proposed that the CT emission band results from twisting of the dimethyl amino group (-NMe 2 ) against the benzonitrile plane that produces a perpendicular configuration [39] and hence was termed the TICT state, in contrast to the LE state where the molecule stays planar.The presence of the TICT state was then supported by a large number of DMABN derivatives with strategic structural modifications.Computational perspectives were also rapidly expanding at the same time to shed light on the dual-fluorescence phenomenon.Different natures of the CT state from TICT were also proposed along the way, resulting in a significant debate.The advancement in ultrafast electronic and vibrational spectroscopies provided further evidence in favor of the TICT model.

Strategic Modifications of Chemical Structure
The TICT model highlights the twisting of the amine group in generating a highly polar CT state.A rigidified structure constraining the emission state at a planar or twisted geometry is the straightforward evidence for TICT.Alkyl cyclization of DMABN (1a, Figure 2) to confine the amine group at a relatively planar geometry is supposed to suppress the twisting.As a result, 1b and 1c exhibit only LE fluorescence with similar wavelengths to the LE band of DMABN (Figure 3a,b) [15,40].However, the seven-membered heterocyclic ring (1d) still gives rise to a CT fluorescence band (Figure 3b, bottom panel).This result was attributed to the increased flexibility of a large cyclic ring that remains sufficient to enable the TICT process [15].It is expected that the flexibility should decrease with the smaller ring size (i.e., 1d > 1c > 1b).Notably, the six-membered heterocyclic ring is still flexible to some extent; therefore, when the driving force of TICT becomes larger, such as that in 1e due to the increased electron-donating capability and steric hindrance of a tert-butyl group [41], dual fluorescence is clearly observed across a wide temperature range (Figure 3c, see LE and ICT labels) [25,42] and the redder component within the emission band is attributable to a TICT state as confirmed by theoretical calculations [26].

Strategic Modifications of Chemical Structure
The TICT model highlights the twisting of the amine group in generating a highly polar CT state.A rigidified structure constraining the emission state at a planar or twisted geometry is the straightforward evidence for TICT.Alkyl cyclization of DMABN (1a, Figure 2) to confine the amine group at a relatively planar geometry is supposed to suppress the twisting.As a result, 1b and 1c exhibit only LE fluorescence with similar wavelengths to the LE band of DMABN (Figure 3a,b) [15,40].However, the seven-membered heterocyclic ring (1d) still gives rise to a CT fluorescence band (Figure 3b, bottom panel).This result was attributed to the increased flexibility of a large cyclic ring that remains sufficient to enable the TICT process [15].It is expected that the flexibility should decrease with the smaller ring size (i.e., 1d > 1c > 1b).Notably, the six-membered heterocyclic ring is still flexible to some extent; therefore, when the driving force of TICT becomes larger, such as that in 1e due to the increased electron-donating capability and steric hindrance of a tertbutyl group [41], dual fluorescence is clearly observed across a wide temperature range (Figure 3c, see LE and ICT labels) [25,42] and the redder component within the emission band is attributable to a TICT state as confirmed by theoretical calculations [26].Meanwhile, 1f is another example to evince TICT which shows exclusively a polar CT band (Figure 3a) with a large Stokes shift and pronounced solvatochromism [40].The quinuclidine group forces the lone electron pair of nitrogen to lie within the conjugated benzonitrile plane, which is a close structure to the TICT state of DMABN.In the case of DMABN, the -NMe 2 group is perpendicular to the aromatic plane in the TICT state which results in zero overlap between the nitrogen lone pair and aromatic orbitals.For comparison, 1f has a weak absorption band at the red edge of the major π → π* transition (S 2 ), and this weak (likely S 1 ) absorption band has been ascribed to the n → π* transition that promotes a nitrogen lone pair electron to the aromatic π* orbital [43,44].The small but non-zero oscillator strength is owing to the slight structural deformation in the quinuclidine cage despite the large conformational rigidity, which results in a small orbital overlap.This insight has been supported by the crystal structure and semiempirical calculations [45,46].
DMABN derivatives such as 1g, 1h and 1i provide similar molecular insights via steric hindrance [14,40,43,47].The presence of methyl groups at the ortho sites on the benzene ring (1g and 1h) or at the cyclic amine ring (1i), particularly in the former case, causes strong steric hindrance between the two moieties and hence a twisted LE state (e.g., ~60 • between the -NMe 2 and the benzene ring plane in 1g) [40,43].The pretwist essentially results in a shallow LE state minimum (i.e., an elevated energy) compared to the planar LE state in DMABN and therefore a smaller transition energy barrier toward the TICT state, substantiated by the enhanced emission and formation rate of TICT [47].Meanwhile, 1f is another example to evince TICT which shows exclusively a polar CT band (Figure 3a) with a large Stokes shift and pronounced solvatochromism [40].The quinuclidine group forces the lone electron pair of nitrogen to lie within the conjugated benzonitrile plane, which is a close structure to the TICT state of DMABN.In the case of DMABN, the -NMe2 group is perpendicular to the aromatic plane in the TICT state which results in zero overlap between the nitrogen lone pair and aromatic orbitals.For comparison, 1f has a weak absorption band at the red edge of the major π → π* transition (S2), and this weak (likely S1) absorption band has been ascribed to the n → π* transition that promotes a nitrogen lone pair electron to the aromatic π* orbital [43,44].The small but non-zero oscillator strength is owing to the slight structural deformation in the quinuclidine cage despite the large conformational rigidity, which results in a small orbital overlap.This insight has been supported by the crystal structure and semiempirical calculations [45,46].
DMABN derivatives such as 1g, 1h and 1i provide similar molecular insights via steric hindrance [14,40,43,47].The presence of methyl groups at the ortho sites on the benzene ring (1g and 1h) or at the cyclic amine ring (1i), particularly in the former case, causes strong steric hindrance between the two moieties and hence a twisted LE state (e.g., ~60° between the -NMe2 and the benzene ring plane in 1g) [40,43].The pretwist essentially results in a shallow LE state minimum (i.e., an elevated energy) compared to the planar LE state in DMABN and therefore a smaller transition energy barrier toward the TICT state, substantiated by the enhanced emission and formation rate of TICT [47].Other structural modifications have also been reported to support TICT.The aminocyanopyridine analogue 1j and its conformational isomer 1k show dual fluorescence bands, similar to those in DMABN [48].The symmetry breaking of the aromatic ring and the amine group with respect to DMABN predicts the formation of an isomeric product upon TICT, which can be discerned by NMR.With a low temperature at around −90 • C to slow down thermal equilibration between the initial 1j and product 1k in the ground state, the 1 H-NMR difference spectrum exhibits the appearance of 1k, essentially confirming the amine-twisting process [49].
The pyrrole derivatives 1l and 1m also exhibit dual fluorescence (LE and CT) similar to DMABN but the conformational locking in 1m indicates a different origin for the longwavelength CT band which must have a planar structure [22,50].Calculations showed that the donor π-orbital of 1m is clearly different from that in DMABN whose orbital includes the nitrogen lone pair [23,24,51].Therefore, it is not a suitable example as evidence against TICT.
In addition, dual fluorescence was found to be sensitive to the structure of the amine group that acts as the electron donor.For example, the primary amine (1n) and simple secondary amine such as 1o only display LE emission [27].In contrast, the diethylamino derivative 1p exhibits enhanced CT fluorescence [52].The appearance of a CT band in azacylic derivatives 1q depends on the ring size, and a larger ring (likely with more conformational flexibilities as mentioned above) favors the formation of a CT state [53].These observations have been associated with the electron-donating strength of the donor group.This finding is in agreement with the TICT model that suggests a complete charge transfer from the amine group [21].Likewise, strong electron acceptors would also promote the generation of CT/TICT fluorescence: the derivatives with substitutions of -CN (1a) by -COOH (1r), -COOR (1s), and -COR (1t) indeed show dual fluorescence [6,54,55].Changing the benzonitrile moiety with pyridine (1u) also results in dual fluorescence [56].Notably, the increase of electron acceptor strength such as a tetrafluorinated benzonitrile moiety (e.g., 1v) leads to exclusive CT/TICT fluorescence even when the primary amine (-NH 2 ) is the donor [27], substantiating the dominant electronic effect ("push-pull") in this molecular system.

Time-Resolved Electronic and Vibrational Spectroscopies
During the TICT model development, a few other models have also been proposed to explain the CT emission: PICT (planar ICT) and RICT (rehybridized ICT) as shown in Figure 4a, as well as WICT (wagged ICT).In the WICT model, it was proposed that the amine nitrogen undergoes rehybridization from sp 2 to sp 3 (pyramidalization or wagging), thus decoupling the lone pair from the benzonitrile and increasing the charge separation [14,15].However, the wagging motion was shown by calculations to be unable to generate a highly polar state [16][17][18].The RICT state featuring rehybridization of the nitrile group from sp to sp 2 (Figure 4a) is found as an excited-state minimum but experiences a large barrier from the LE state [21].Another RICT model that characterizes a πσ* state as an intermediate state in the LE-to-TICT reaction was recently proposed on the basis of time-resolved transient absorption spectroscopy [57][58][59][60].However, it has been questioned by other researchers [61,62].Therefore, a major debate remained between the TICT and PICT models, which had prompted many experimental efforts over the years, particularly those from ultrafast time-resolved electronic and vibrational spectroscopies in addition to computational studies.Notably, the PICT state of DMABN is characterized by a planar quinoidal resonance structure in which the amine group is strongly coupled with the benzonitrile moiety [21].The TICT model, on the other hand, corresponds to the complete decoupling of these moieties due to twisting of the amine group (see Figure 4a).This key difference implies that (1) the CT state should have similar properties to the radical anion of benzonitrile; (2) the frequency of phenyl-N stretch of the CT state should red-shift for TICT but blue-shift for PICT (i.e., acquiring more double-bond character) from the ground to excited state [21].Both TICT and PICT models predict the redshift of the nitrile CN stretch frequency as a result of change from triple to double bond character via electron redistribution (resonance effect).
For DMABN in acetonitrile, femtosecond transient absorption (fs-TA) spectroscopy shows multiple excited-state absorption (ESA) bands of the LE state across the UV and visible wavelengths at early time (several picoseconds from the time zero of photoexcitation), followed by a rise of the absorption bands at ~330 and 420 nm on the 4-5 ps timescale (Figure 4b) [60,64].These two nascent ESA bands can be readily assigned to the product state due to the rise dynamics, and their resemblance to the absorption of the benzonitrile radical anion (Figure 4c) [63,65] is consistent with the TICT model that predicts the radical-like properties (decoupled electron clouds) for the perpendicular conformation of the amine group in DMABN.The pertinent LE-to-ICT transition was also monitored by time-resolved fluorescence measurements up to ~25 ps with clearly correlated decay and rise dynamics of the LE and ICT bands, respectively (Figure 4d) [57,60].
Compared to electronic spectroscopy that provides holistic information for reaction coordinates, vibrational spectroscopy is inherently sensitive to and can capture subtle structural changes along these reaction paths.Umapathy et al. identified the characteristic phenyl-N stretch mode in the ground and excited electronic states of DMABN in methanol using resonance Raman and time-resolved transient resonance Raman (TR 2 ), respectively [66].The mode frequency was found to undergo a ~96 cm −1 redshift from the ground (1377 cm −1 ) to the CT state (1281 cm −1 , at the time delay of 50 ps when the CT state is prominent), in accord with the aforementioned TICT process (Figure 4a).The assignment is further corroborated by isotopic labeling of the amine nitrogen and methyl-group hydrogens (see Figure 5a,b).These results provide direct support for the TICT model that predicts a weakened C-N single bond due to electronic decoupling.
Meanwhile, the nitrile CN stretch exhibits a frequency redshift from the ground state (2219 cm −1 ) to the CT state (2095 cm −1 ) as circled in Figure 5a,b.A similar frequency shift has also been observed via femtosecond stimulated Raman spectroscopy (FSRS) [67] and time-resolved IR spectroscopy (TRIR) [68][69][70] with higher temporal resolutions as shown in Figure 5c,d, respectively.For the latter case, the nitrile stretch region is finely resolved as two peaks at 2109 and 2091 cm −1 which correspond to the interchanging "free" ICT and hydrogen-bonded ICT (HICT) states, respectively (Figure 5d) [68,70].However, this mode assignment was later questioned by theoretical calculations which showed that hydrogen bonding interactions with C≡N should blue-shift its mode frequency [71].Nevertheless, the overall mode frequency redshift is consistently observed by different spectroscopic techniques.This result alone cannot distinguish PICT and TICT (see Figure 4a, top two structures) because both models suggest a redshift in the mode frequency, but the red-shifted frequency at ~2095 cm −1 (Figure 5b-d) matches the CN stretch of the benzonitrile radical anion [72,73].Therefore, it rules out the RICT model (Figure 4a, bottom structure) which predicts the sp 2hybridized CN stretch frequency to be ~1550-1650 cm −1 [21,74].Besides the nitrile stretch, many other Raman modes have shown remarkable resemblance to the benzonitrile radical anion in IR measurements [66], strongly suggesting a full charge transfer from the amine to benzonitrile moieties in the TICT model.Meanwhile, the nitrile CN stretch exhibits a frequency redshift from the ground state (2219 cm −1 ) to the CT state (2095 cm −1 ) as circled in Figure 5a,b.A similar frequency shift has also been observed via femtosecond stimulated Raman spectroscopy (FSRS) [67] and time-resolved IR spectroscopy (TRIR) [68-70] with higher temporal resolutions as shown in Figure 5c,d, respectively.For the latter case, the nitrile stretch region is finely resolved

Potential Energy Surface for TICT in DMABN
For DMABN, various computational methods have established that the ground state has a planar structure and the initially accessed state is 1 L a state with CT character which is the second excited singlet state (S 2 ).The 1 L b state energetically lies below the 1 L a state as S 1 at the planar geometry.When the amine group twists by 90 • to reach a perpendicular geometry against the benzonitrile moiety, the two energy states flip in order and the 1 L a state becomes the lower state which is stabilized by polar solvents (Figure 1c) [75,76].After the Franck-Condon relaxation in S 2 and subsequent radiationless S 2 → S 1 internal conversion (IC), the LE emission occurs at the 1 L b state minimum.The CT emission takes place at the global minimum of the 1 L a state with a perpendicular geometry (Figure 1c).
Many theoretical works have agreed on the crossing of 1 L a and 1 L b states along the amine-twisting coordinate [24,[74][75][76][77].A conical intersection (CI) has thus been proposed in nonadiabatically channeling the formation of the TICT state.One opinion suggests that the photoexcited 1 L a state first evolves along the amine-twisting coordinate and then passes through a CI, thereby branching into the LE and TICT states on the S 1 potential energy surface (PES, see red and blue dashed arrows in Figure 1c).Therefore, a single rise time constant is sufficient to describe the process [78].However, an adiabatic reaction between the LE and TICT states (avoided crossing, see solid S 1 and S 2 curves in Figure 1c) has been validated by a large amount of kinetic results from time-resolved spectroscopic techniques such as fs-TA and time-resolved fluorescence spectroscopy (Figure 4b,d) [57,60,[79][80][81].For example, the broadband fluorescence spectra using optical Kerr gating show the decay/rise dynamics with the same time constant for the LE/TICT fluorescence bands (Figure 4d), clearly indicative of their precursor-successor relationship [60].
The nonadiabatic and adiabatic processes were reconciled by Robb et al. via an extended CI seam between S 2 and S 1 on a multidimensional PES (Figure 6) [82].The initially excited S 2 state first relaxes to its minimum from the Franck-Condon region and then evolves toward the minimum energy point of a nearby CI seam (see the red curve in Figure 6), followed by nonadiabatic decay pathways to S 1 states.The S 2 minimum (labeled as S 2 -(P)ICT in Figure 6) is shallow and the CI seam can be easily accessed, in agreement with the ultrafast rise of S 1 -LE emission as experimentally observed.The S 2 → S 1 IC can occur at any amine-twisting angle at the CI seam but the direct IC to S 1 -LE should be favored because the structure at the minimum energy point on the CI seam is not twisted (i.e., a still-planar geometry) according to the calculations.This inference could explain why S 1 -LE behaves kinetically as a precursor for the TICT state.Finally, the adiabatic LE-to-TICT reaction occurs on the S 1 PES (see blue curved arrows in Figure 6) prior to the TICT emission from the S 1 -(T)ICT state.
The calculations showed that the S 1 -TICT state of DMABN in vacuo has a higher energy than the S 1 -LE state, in accord with the absence of TICT fluorescence in the gas phase [6].In solution, the TICT state should be notably stabilized by the solvent which leads to more efficient TICT and the associated fluorescence.For DMABN analogues that do not undergo TICT such as 4-aminobenzonitrile (ABN), the TICT state lies at a much higher energy than the LE state and thus cannot be stabilized to a substantial extent to exhibit TICT fluorescence in solvents [82].The calculations showed that the S1-TICT state of DMABN in vacuo has a higher energy than the S1-LE state, in accord with the absence of TICT fluorescence in the gas phase [6].In solution, the TICT state should be notably stabilized by the solvent which leads to more efficient TICT and the associated fluorescence.For DMABN analogues that do not undergo TICT such as 4-aminobenzonitrile (ABN), the TICT state lies at a much higher energy than the LE state and thus cannot be stabilized to a substantial extent to exhibit TICT fluorescence in solvents [82].

Insights into Chromophores with a Non-Emissive TICT State
Recent studies have found more chromophore frameworks that display TICT properties when a flexible amine group is incorporated as the electron donor, suggesting the generality of flexible amines in promoting TICT.Note that we use "amine" here to generally refer to functional groups that contain nitrogen with a lone pair.These molecular frameworks include coumarin, rhodamine, naphthalimide, naphthalene, oxazine, benzoxadiazole, maleimide, and locked benzylidene-imidazolinone (green fluorescent protein or GFP chromophore), etc., as grouped in Figure 7 [28][29][30][31]33,35,[83][84][85][86][87].The presence of TICT in these systems can be rationalized experimentally and computationally which further reveals the difference from the TICT in DMABN and its analogues (e.g., Figure 2).

Insights into Chromophores with a Non-Emissive TICT State
Recent studies have found more chromophore frameworks that display TICT properties when a flexible amine group is incorporated as the electron donor, suggesting the generality of flexible amines in promoting TICT.Note that we use "amine" here to generally refer to functional groups that contain nitrogen with a lone pair.These molecular frameworks include coumarin, rhodamine, naphthalimide, naphthalene, oxazine, benzoxadiazole, maleimide, and locked benzylidene-imidazolinone (green fluorescent protein or GFP chromophore), etc., as grouped in Figure 7 [28][29][30][31]33,35,[83][84][85][86][87].The presence of TICT in these systems can be rationalized experimentally and computationally which further reveals the difference from the TICT in DMABN and its analogues (e.g., Figure 2).
damine (10a) in polar solvent where TICT is efficient and can thus be effectively hindered by the conformational locking (see "cyclization" in Figure 8) [28,34,35,89,90].It is noteworthy that the julolidine derivatives (2e, 9f, and 10b) are less fluorescent than the tetrahydroquinoline derivatives (2f, 9g, 9h, and 10c) in polar solvents.This pattern may arise from the moderate rigidity of the six-membered ring that cannot completely overpower the increased donor strength in julolidine derivatives which would increase the driving force for TICT (see Section 4.2 for more details).Theoretical calculations support the presence of a non-emissive TICT state in these systems.Liu et al. has comprehensively explored and compared the functionals and solvation models using time-dependent density functional theory (TDDFT) in providing reliable descriptions of the TICT formation [84].It was found that the qualitatively correct modeling of the TICT path strongly depends on the percentage of Hartree-Fock (HF) exchange in the hybrid functional, which compensates for the underestimation of excitation energies of "pure" functionals for CT states.Global hybrid functionals with high HF percentage (e.g., M062X) and range-separated functions (e.g., CAM-B3LYP and ωB97XD) yield reasonable twisting barriers, while pure and global hybrid functionals (e.g., PBE and B3LYP with 0-20% HF) severely underestimate the de-excitation energy of the TICT state and mistakenly predict the TICT tendency in various solvents (using Coumarin 152 or 2b in this review as an example, see Figure 9a).The solvation model (SMD) was also found to impact the TICT modeling.The correlated linear response (cLR)-SMD produces consistent energy barriers in different solvents with experimental observations (Figure 9a).The linear response (LR)-SMD fails to describe the increased TICT tendency with increasing solvent polarity (e.g., in water, Figure 9b).The state-specific (SS)-SMD overpredicts the TICT formation in low-polarity solvents such as cyclohexane (Figure 9c), contradictory to the observed near-unity FQY (0.97 in cyclohexane).Therefore, it was concluded that the combination of CAM-B3LYP (or M062X, ωB97XD, etc.) with the cLR solvation model can reasonably map the TICT PES of the amine-containing chromophore in various solvents.Similar insights have also been provided by other researchers [91].
in this review as an example, see Figure 9a).The solvation model (SMD) was also found to impact the TICT modeling.The correlated linear response (cLR)-SMD produces consistent energy barriers in different solvents with experimental observations (Figure 9a).The linear response (LR)-SMD fails to describe the increased TICT tendency with increasing solvent polarity (e.g., in water, Figure 9b).The state-specific (SS)-SMD overpredicts the TICT formation in low-polarity solvents such as cyclohexane (Figure 9c), contradictory to the observed near-unity FQY (0.97 in cyclohexane).Therefore, it was concluded that the combination of CAM-B3LYP (or M062X, ωB97XD, etc.) with the cLR solvation model can reasonably map the TICT PES of the amine-containing chromophore in various solvents.Similar insights have also been provided by other researchers [91].

Comparison with TICT in DMABN
Due to the twisting process and electronic donor-acceptor decoupling in the twisted state, the terminology "TICT" originating from the dual-fluorescence DMABN has often been used to describe a similar process in many other molecular systems such as those listed in Figures 7 and 8.The TICT processes in these two types of systems do share some similarities besides the structures.For example, in both cases, the TICT formation is sensitive to solvent polarity: a greater solvent polarity enhances TICT efficiency (Figure 1a,b).This property has been attributed to the larger permanent (electric) dipole moment of the TICT state compared to its precursor LE/ICT state.
However, the difference is also significant between these two scenarios which should call for more in-depth analysis.The first obvious difference is that the TICT states in DMABN and its many analogues are emissive while those in other studied systems are non-emissive.The latter case is understandable because the decoupling of the donor and acceptor when the amine twists to 90 • leads to zero orbital overlap and hence no transition probability (e.g., Coumarin 152 in Figure 9d) [84].The unusual TICT fluorescence in DMABN clearly is not qualified by the complete electronic donor-acceptor decoupling and zero orbital overlap as confirmed by many theoretical and spectroscopic studies (see Section 2 above).This mystery was also the source of significant debates over whether the CT state is twisted.Nevertheless, the TICT mechanism remains the most reasonable and consistent model, with extensive experimental and computational support.In view of the temperature dependence of the radiative decay rate (k r ) for the TICT state, the observed TICT fluorescence has been attributed to the emission from higher-lying vibrational levels and hence "hot" fluorescence (see Figure 1c) [92].For systems with a non-emissive TICT state, the zero orbital overlap results in a forbidden transition and it is often spectrally invisible even for the excited-state electronic absorption (e.g., fs-TA) spectroscopy [35,88].Another possibility is that the S 1 to S n transition bands are out of the normal probe wavelength window, which could motivate future studies.
The excited-state PES is also quite different.For systems with an emissive TICT state such as DMABN, it has been established that two excited states ( 1 L b and 1 L a ) are involved to yield the two S 1 emission states (LE and TICT, respectively) intimately associated with the amine-twisting coordinate (Figure 1c).Furthermore, the state crossing and adiabatic reaction between LE and TICT states can be described by a multidimensional PES as shown in Figure 6 [82].The systems with a non-emissive TICT state, on the other hand, have been shown to undergo an adiabatic reaction from the planar/near-planar LE/ICT state to the TICT state solely in S 1 (i.e., without the involvement of a higher-lying state such as S 2 , see Figure 1d).In the emissive TICT case, photoexcitation initially accesses S 2 or 1 L a state at the planar geometry, whereas in the non-emissive TICT case, S 1 is the initially accessed state [35,84,91].Moreover, these two types of systems differ in the degree of CT for the planar emission state.For DMABN and its analogues, the planar emission state was considered an LE state and its absorption and emission wavelengths are largely insensitive to solvent polarity [6].In contrast, the planar emission state in dark-TICT systems typically has LE/ICT character [7], which could be seen from the solvatochromic results.For example, rhodamines usually exhibit very small changes in absorption and emission wavelengths with varying solvent polarity [93]; therefore, it can be largely viewed as an LE state which is corroborated by the electron density distribution [84].Many other dyes such as amino derivatives of coumarin, naphthalimide, and locked benzylidene-imidazolinone (Figure 7) exhibit marked solvatochromism [31,34,35,88]; the planar emission states thus have more pronounced ICT character in nature.However, the ICT in the planar state of these chromophores remains weak (i.e., smaller in magnitude) in comparison to that in the TICT state which essentially leads to electronic decoupling between the donor and acceptor moieties (e.g., Coumarin 152, see Figure 9d).

Factors Affecting TICT
From the two-state kinetic model established for the LE and TICT states, it is conceivable that any factors that change the reaction barrier or energetics between LE and TICT states would affect the TICT efficiency.To this end, Rettig et al. put forward Equations ( 1) and (2) to guide and predict possible TICT systems [92,94]: where E LE and E TICT are the energies of the LE and TICT states, respectively; IP(D) and EA(A) represent the ionization (or oxidation) potential and electron affinity (or reduction potential) of the donor and acceptor, respectively; C denotes the Coulombic attraction between the radical cation and anion produced by the decoupled donor and acceptor in the TICT state; and E solv as a typically negative value represents the solvent stabilization energy.The two equations summarize the dominant factors that affect TICT.The donor IP and acceptor EA values describe their respective electron-donating and -accepting capabilities.C is dependent upon the donor and acceptor's chemical structures.E solv is directly associated with the solvent polarity.Besides, E LE can be affected by applying steric hindrance (see above).

Donor and Acceptor Strengths
Since the TICT is characterized by the donor-acceptor electronic decoupling event, i.e., a complete electron transfer to form the radical cation and anion, greater strengths of the donor and acceptor would increase the driving force for the charge separation.The electron-donating and -accepting capabilities can be evaluated by the respective IP and EA as used in Equation ( 2) above.
On the donor end, the IP of amines decreases in the order of primary > secondary > tertiary amines [95,96].As a result, the primary (-NH 2 ) amine typically cannot enable TICT as observed from the single LE band in 4-aminobenzonitrile (ABN, 1n in Figure 2) [27] and high FQYs of the amino derivatives of dark-TICT chromophores (e.g., 2a and 3a in Figure 7) even in polar solvents [28,85].These results agree with calculations showing that the TICT state of ABN lies at a very high energy that is difficult to be populated [82].Simple secondary alkyl amines (-NHR) do not easily promote TICT either (e.g., 7c, 8c, and 9d in Figure 7) [86,87,89] but as the IP is lowered TICT can occur (e.g., -NH-phenyl in 3g of Figure 7) [97].In comparison, tertiary such as dialkyl amines have lower IP values and can promote TICT more effectively (e.g., low FQYs in dark-TICT chromophores 2c, 4a, 6a, 7a, and 9a in Figure 7).Lengthening the alkyl chain of the dialkylamine group decreases IP(D) and can enhance the TICT access.For example, the TICT fluorescence in amino-benzonitrile is enhanced from dimethyl to didecyl amine (Figure 10a, top to bottom panels) in the same solvent due to the emissive TICT [52].Meanwhile, the FQY of aminocoumarin decreases from -NH 2 to -NEt 2 in acetonitrile due to the non-emissive TICT being more populated (i.e., 0.92 to 0.08, from 2a to 2c in Figure 7) [28].
A similar effect can be observed in chromophores with azacyclic substituents.When the ring size increases, TICT is facilitated due to a lower IP which leads to enhanced TICT fluorescence from azetidinyl to azocanyl group in amino-benzonitrile (i.e., P4C to P8C in Figure 10b) or lower FQYs for dark-TICT chromophores (e.g., azetidinyl versus piperidinyl, Figure 7) [53,83,85].The four-membered azetidinyl group instead of open-chain dialkylamines has thus often been used to improve the FQY for fluorophores [83,85,98].Fine tuning of IP or the electron-donating capability of the cyclic amine by introducing heteroatoms is also useful in modulating the TICT efficiency and hence FQYs.For example, changing piperidinyl (P6C) to piperazinyl (P6N) and phenyl-piperazinyl (P6P) groups in amino-benzonitrile decreases the IP and enhances the "bright" TICT fluorescence (Figure 10b) [53].The morpholinyl group (P6O) has a similar effect on TICT as piperidinyl (P6C) due to their close IP.Inversely, increasing the IP of the cyclic amine hinders TICT and hence improves the FQY for chromophores with "dark" TICT states.As examples, the incorporation of electron-withdrawing groups such as the positively charged ammonium (NMe 2 + ) or sulfone (SO 2 ) to the "donor" piperazinyl group in rhodamine effectively inhibits TICT and enables an exceptional near-unity FQY even in water (3e and 3f, Figure 7) [37,99].The strategy has recently been adopted to optimize various fluorescent probes for bioimaging applications [37,[99][100][101].
On the acceptor end, strong electron-withdrawing groups (large EA) can aid the donor amine to promote TICT.The carboxylic acid, ester, carbonyl, pyridine derivatives of DMABN (1r-1u, Figure 2) also exhibit dual fluorescence, while the tetrafluorinated derivative (1v, Figure 2) only shows the CT emission, though the authors disagreed with the TICT assignment [6,27].These observations interestingly rule out the RICT model for DMABN that suggests the rehybridization of the nitrile group (Figure 4a).Notably, for these aminobenzene derivatives, it has been shown that very strong acceptors may reverse the energy ordering of 1 L a and 1 L b type states (Figure 1c) and lead to the LE emission from 1 L a state such as 1v (Figure 2) instead of 1 L b that occurs in DMABN [102].Meanwhile, the -CH 3 and -CF 3 substitutions of diethylamino-coumarin (2d and 2c, Figure 7) clearly indicate the importance of acceptor strength in the occurrence of TICT.Due to the weak electron-withdrawing capability of -CH 3 , 2d has a FQY of ~1.0 in acetonitrile, much larger than 2c (FQY ≈ 0.08) with a strong electron-withdrawing -CF 3 group as the acceptor to promote the access to a non-emissive TICT state (Figure 1d) [28].A similar effect can be observed in chromophores with azacyclic substituents.When the ring size increases, TICT is facilitated due to a lower IP which leads to enhanced TICT fluorescence from azetidinyl to azocanyl group in amino-benzonitrile (i.e., P4C to P8C in Figure 10b) or lower FQYs for dark-TICT chromophores (e.g., azetidinyl versus piperidinyl, Figure 7) [53,83,85].The four-membered azetidinyl group instead of open-chain dialkylamines has thus often been used to improve the FQY for fluorophores [83,85,98].Fine tuning of IP or the electron-donating capability of the cyclic amine by introducing heteroatoms is also useful in modulating the TICT efficiency and hence FQYs.For example, changing piperidinyl (P6C) to piperazinyl (P6N) and phenyl-piperazinyl (P6P) groups in amino-benzonitrile decreases the IP and enhances the "bright" TICT fluorescence (Figure 10b) [53].The morpholinyl group (P6O) has a similar effect on TICT as piperidinyl (P6C) due to their close IP.Inversely, increasing the IP of the cyclic amine hinders TICT and hence improves the FQY for chromophores with "dark" TICT states.As examples, the incorporation of electron-withdrawing groups such as the positively charged ammonium (NMe2 + ) or sulfone (SO2) to the "donor" piperazinyl group in rhodamine effectively inhibits TICT and enables an exceptional near-unity FQY even in water (3e and 3f, Figure 7) [37,99].The strategy has recently been adopted to optimize various fluorescent probes for bioimaging applications [37,[99][100][101].
On the acceptor end, strong electron-withdrawing groups (large EA) can aid the donor amine to promote TICT.The carboxylic acid, ester, carbonyl, pyridine derivatives of

Steric Hindrance and Structural Constraint
Besides electronic factors, the energetics and reaction barrier toward TICT can also be modified by steric hindrance and structural constraint.These two approaches are essentially equivalent in that they destabilize one or the other (i.e., LE/ICT or TICT) states.
The common steric hindrance applied is to incorporate bulky groups (larger than hydrogen) near the twisting amine N-Ph bond such as ortho-dimethylated DMABN (1g, Figure 2) and 2,5-dimethylpyrrolidine-benzonitrile (1i, Figure 2).Due to steric hindrance, the methyl groups cause a deviation from coplanarity between the amine and benzonitrile moieties, resulting in a pre-twisted structure in the ground state [40,43].In consequence, the LE state also has a twisted structure, leading to a higher energy than the planar geometry without methyl groups.Meanwhile, the methyl groups have little steric influence on the TICT state.As a result, the energy barrier to the TICT state is reduced as seen from the increased LE-to-TICT transition rate [47].
This type of steric hindrance essentially increases the driving force for TICT [103].A good example is 3,5-dimethyl-4-methylamino-benzonitrile (1h, Figure 2) that shows TICT fluorescence in polar solvents such as acetonitrile while 4-methylamino-benzonitrile (1o, Figure 2) does not [14,27].The high IP of the secondary amine (-NHMe) is compensated by steric hindrance caused by two methyl groups on the phenyl ring, hence favoring the TICT state formation in 1h.In dark-TICT systems, a bulkier ortho-substituent causes the FQY drop with respect to the unsubstituted one under the same condition.For example, the benzylidene-imidazolinone derivative 9e (0.02, see Figure 7) has a lower FQY than 9a (0.05) in water due to steric hindrance of the ortho-OH group, evinced by ~20 • deviation from coplanarity between the -NMe 2 group and benzylidene-imidazolinone backbone [34,35].The steric effect is also present for the heterocyclic amine groups.As the ring becomes larger, the enhanced TICT results from not only the increased donor strength (lower IP) but also increased steric hindrance between the ring and aromatic backbone (e.g., from azetidinyl to piperidinyl groups, see Figures 2 and 7).
The structural constraint/confinement such as the fused cyclization of amine can greatly destabilize the TICT state and hence inhibits TICT (e.g., compounds in Figures 2 and 8).The caveat, however, is that the cycle size needs to be strategically selected to overcome the increased donor strength.Large rings with lower IPs have less rigidity than smaller ones and to certain extents would allow TICT to occur.For example, with the other arm maintained with a methyl group, the seven-membered ring (1d in Figure 2) can still give rise to TICT emission while the five-and six-membered rings (1b and 1c) cannot [15].However, when the other arm is changed to a tert-butyl group (1e) which notably increases the electron-donating capability of amine, the six-membered ring is no longer rigid enough to suppress TICT [25].
Similar results were also observed for the rhodamine derivatives wherein the donor amine consists of a phenyl group [97].The strong electron-donating capability makes the secondary amine (3g, see Figure 11) undergo efficient non-emissive TICT formation, thus showing a very low FQY of <0.01 in methanol (Figures 7 and 11).Moreover, the large driving force for TICT cannot be overpowered by the conformational rigidity applied by the six-membered ring (3h) in view of the still-low FQY (0.01) in methanol.Instead, the more rigid and compact five-membered ring effectively inhibits the "dark" TICT and results in a high FQY (0.43) as summarized in Figure 11.driving force for TICT cannot be overpowered by the conformational rigidity applied by the six-membered ring (3h) in view of the still-low FQY (0.01) in methanol.Instead, the more rigid and compact five-membered ring effectively inhibits the "dark" TICT and results in a high FQY (0.43) as summarized in Figure 11.Another structural constraint has been commonly seen in the julolidine derivatives.The double six-membered rings have been considered rigid to suppress TICT, yet their FQYs are outperformed by a single six-membered ring (Figure 8) [28,34,35,90].Though it has not been definitively confirmed experimentally or computationally, the aforementioned insights point to a similar origin for the lower FQY in julolidine derivatives.The six-membered ring is not rigid enough to completely inhibit TICT as the donor strength is enhanced by the second ring with respect to methyl in the case of a single six-membered ring.This point is substantiated particularly by the observation that the FQY increases as the donor strength decreases from a six-membered ring to -Me and -H for the locked benzylidene-imidazolinone derivatives (i.e., from 9f to 9g and 9h, Figure 8) in water (i.e.,  ≈ 0.48 to 0.60 and 0.63) [34,35].

Solvent Polarity and Viscosity
The solvent polarity dependence is characteristic of the TICT state and LE-to-TICT reaction.This property has been attributed to the large permanent dipole moment of the TICT state, which is much larger than the LE state, on the basis of works on DMABN and its derivatives.Therefore, a larger solvent polarity (i.e., larger | | in Equation ( 2)) favors the TICT state formation both thermodynamically and kinetically.On the other hand, Another structural constraint has been commonly seen in the julolidine derivatives.The double six-membered rings have been considered rigid to suppress TICT, yet their FQYs are outperformed by a single six-membered ring (Figure 8) [28,34,35,90].Though it has not been definitively confirmed experimentally or computationally, the aforementioned insights point to a similar origin for the lower FQY in julolidine derivatives.The sixmembered ring is not rigid enough to completely inhibit TICT as the donor strength is enhanced by the second ring with respect to methyl in the case of a single six-membered ring.This point is substantiated particularly by the observation that the FQY increases as the donor strength decreases from a six-membered ring to -Me and -H for the locked benzylidene-imidazolinone derivatives (i.e., from 9f to 9g and 9h, Figure 8) in water (i.e., φ F ≈ 0.48 to 0.60 and 0.63) [34,35].

Solvent Polarity and Viscosity
The solvent polarity dependence is characteristic of the TICT state and LE-to-TICT reaction.This property has been attributed to the large permanent dipole moment of the TICT state, which is much larger than the LE state, on the basis of works on DMABN and its derivatives.Therefore, a larger solvent polarity (i.e., larger |E solv | in Equation ( 2)) favors the TICT state formation both thermodynamically and kinetically.On the other hand, the solvent viscosity dependence usually provides convincing evidence for conformational twisting motions which is particularly valuable for the TICT model; however, the pertinent studies in solvents often suffer from the interference by polarity that is difficult to be separated or deconvolved from viscosity [104].
Recently, Chen et al. have proposed an analytical method that quantitatively separates the contributions from solvent polarity and viscosity [35,88,105] to the LE/ICT→TICT reaction rate.The method, as described by Equation (3) below, can be applied to molecular systems wherein TICT is the dominant nonradiative pathway such that k nr ≈ k iso : where k nr and k iso are the total nonradiative decay and isomerization (twisting) rate constants, respectively; k 0 represents the twisting rate constant in the absence of solute-solvent interactions; the solvatochromic Kamlet-Taft parameters α, β, and π* describe the solvent H-bond donating, H-bond accepting, and dipolar capabilities, respectively; and η is the solvent viscosity.Notably, this approach not only separates solvent polarity and viscosity but also more finely differentiates the specific H-bonding interactions (α and β) from the nonspecific dipolar interactions (π*) as fundamental sources for solvent polarity.The latter factor has often been overlooked in previous solvent polarity studies, which could lead to inaccurate or incomplete conclusions.In practice, the dependence and contribution (coefficients of a, b, p, δ in Equation ( 3)) by each parameter can be extracted via rigorous linear regression analysis by sampling a sufficient number of solvents with diverse properties.The experimental k nr value can be calculated by the FQY (φ F ) and the excited state (i.e., fluorescent state or FS of the chromophore) decay rate constant (k FS ) via Equations (4) and (5): where k r is the radiative decay rate constant.k FS can be obtained from time-resolved spectroscopy such as fs-TA (e.g., see Figure 4b above) while φ F can be measured by steadystate electronic spectroscopy using the relative method with a known standard [106].The analysis has been successfully applied to the "dark" TICT-capable coumarin and locked benzylidene-imidazolinone derivatives (2c and 9e, Figure 7) and yielded interesting results.For 2c (Coumarin 481), the TICT formation is governed by both H-bonding and dipolar solute-solvent interactions as well as solvent viscosity [88].The viscosity dependence supports the presence of twisting motions and hence TICT.For 9e, only H-bonding interactions were found to dictate the TICT formation [35].The comparison between 2c and 9e results implies that, depending on the chromophore structure, the seemingly uniform solvent polarity dependence might be caused by different interactions between the chromophore and solvent molecules (i.e., H-bonding and/or dipolar factors).Though the solvent parameters (α, β, π*) are empirical, the good linear correlations obtained with Equation (3) for chromophores 2c and 9e have provided deep insights into the solute-solvent interactions in controlling the TICT formation.On a related note, the single empirical polarity parameter E T (30) and solvent polarity function ∆ f based on the Lippert-Mataga equation should be used with caution for spectral data analysis [88,107,108].The former parameter does not distinguish "specific" H-bonding and "non-specific" dipolar interactions, while the latter parameter calculates the dipole moment difference between the ground and excited states (i.e., only orientational dipole-dipole interaction is considered while all other interactions are omitted) for which H-bonding solvents with the solute should not be included.

Site Specificity of Donor and Acceptor
The large amount of studies on amine-containing TICT-capable molecules seem to give the impression that TICT can occur in the presence of a flexible amine group as long as the conditions such as donor and acceptor strengths as well as sterics are met.However, the relative positioning of the donor and acceptor groups in aromatic systems is also important for the TICT occurrence.This factor has often been overlooked, leading to some incorrect interpretations for the observed spectral data [109].Figure 12 lists a series of examples showing such effects on the FQY for various molecular frameworks in solution.
For the aminobenzene scaffold, the para-substituted derivatives such as DMABN (1a) or others shown in Figure 2 are prone to TICT in medium-to high-polarity solvents; therefore, dual fluorescence bands are often observed.The meta-cyano derivative 1w, however, only displays a single emission band in various solvents [80,[110][111][112].This band also exhibits pronounced solvatochromism (spectral wavelength or color) and fluorogenicity (FQY or brightness), indicative of the ICT nature of the pertinent electronic state [113].A similar meta effect has also been reported for other di-substituted benzenes [114][115][116].The role of TICT for these meta-aminobenzonitrile derivatives has not received definitive support due to the limited attention, which can motivate future studies.
Likewise, 6-aminocoumarin (2h, Figure 12) differs from 7-aminocoumarin (2g, with a methyl group at position 4) and the dialkylaminocoumarins (e.g., 2b and 2c in Figure 7) in the extent of solvatochromism and fluorogenicity [117][118][119][120].The properties of 2h were once ascribed to TICT [109] but this has been recently refuted by theoretical calculations performed on the dimethyl derivative which suggested a different mechanism [121], similar to the meta effect in a benzene ring.For 2h, the highest occupied molecular orbital (HOMO) is drastically destabilized with respect to 2g due to better π-delocalization in the latter by the 7-position electron-donating amino group.This result can be generally understood from the resonance theory as shown in Figure 13 (top middle panel).In contrast to the ground state, the 6-position amino group does not block the π-delocalization in the excited state and hence results in substantial ICT, which accounts for the marked solvatochromism (see 2h data in Figure 12).However, the origin for the observed solvent polarity-governed fluorogenicity remains elusive while TICT was rejected by the energy scan along the aminetwisting coordinate of 2h.One hypothesis suggested that 2h has a lower transition oscillator strength than 2g due to the larger degree of ICT and hence less orbital overlap; it then corresponds to a smaller radiative decay rate constant (k r ) which would make competing nonradiative pathways more effective in reducing the FQY in various solvents [121].Other mechanisms including H-bonding-facilitated IC and triplet state formation have also been proposed [120,122,123].
The naphthalene framework represents another good example to demonstrate the site specificity of donor and acceptor for TICT.The resonance structures of amino-naphthalene (see Figure 13) show that the incorporation of electron-withdrawing groups at positions 4, 5, and 7 for 1-amino-naphthalene (Figure 13, bottom left panel) and positions 6, 8 for 2-amino-naphthalene (Figure 13, top right panel) would give rise to a better electrondelocalized structure, thereby more likely enabling TICT based on the insights gained from aminobenzonitrile and coumarin as mentioned above.
ity-governed fluorogenicity remains elusive while TICT was rejected by the energy scan along the amine-twisting coordinate of 2h.One hypothesis suggested that 2h has a lower transition oscillator strength than 2g due to the larger degree of ICT and hence less orbital overlap; it then corresponds to a smaller radiative decay rate constant ( ) which would make competing nonradiative pathways more effective in reducing the FQY in various solvents [121].Other mechanisms including H-bonding-facilitated IC and triplet state formation have also been proposed [120,122,123].The naphthalene framework represents another good example to demonstrate the site specificity of donor and acceptor for TICT.The resonance structures of amino-naphthalene (see Figure 13) show that the incorporation of electron-withdrawing groups at positions 4, 5, and 7 for 1-amino-naphthalene (Figure 13, bottom left panel) and positions 6, 8 for 2-amino-naphthalene (Figure 13, top right panel) would give rise to a better electron-delocalized structure, thereby more likely enabling TICT based on the insights gained from aminobenzonitrile and coumarin as mentioned above.
If the acceptor is -CN, the 1,4-subsituted derivative 5e exhibits dual fluorescence (LE and TICT) in polar solvents such as acetonitrile [124] while the 2,6-substituted derivative 5f has a near-unity FQY (0.99) in EtOH (Figure 12) [125].The twisted chromophore derivative 5g, locked at a perpendicular geometry between the amine donor and naphthalene ring by a quinuclidine moiety, exhibits a minuscule FQY (0.0055) in EtOH.The dramatically contrasting FQY for 5f versus 5g suggests that a non-emissive TICT exists in 5f but is hardly accessible due to a limited driving force, and the near-unity FQY of 5f in EtOH can be considered as LE/ICT fluorescence.
Figure 13.Representative resonance structures of the aminated chromophore scaffolds listed in Figure 12.The negative signs on certain ring sites denote the specific locations (see the atomic numbering in Figure 12) to position an electron-withdrawing group and thus achieve the improved electron delocalization and energy stabilization.
If the acceptor is a carbonyl, the 1,5-substituted derivative 5h shows striking solvent polarity-dependent FQY and fluorescence peak wavelength [126,127].Though the properties are similar to those of TICT molecules, the observation that the structurally rigidified derivatives 5i and 5j have almost the same solvent dependence (Figure 12) indicates that twisting of neither the amine nor the carbonyl is plausible; therefore, TICT can be excluded [126][127][128].The origin of the observed intriguing fluorogenicity still requires more investigations.These results suggest that the good electron delocalization by selective positioning of the donor and acceptor is not exclusively responsible or a robust predictor for TICT.For comparison, the 2,6-substituted derivative 5k (also well-known as Prodan dye) with a propionyl group (-COEt) as the acceptor is known for its sensitivity to solvent polarity.Structural modifications of 5k such as confinement for a planar donor (5l) or planar acceptor (5m) and perpendicular donor (5n) have provided direct evidence for a planar structure as the emissive ICT state [125, 129,130].The extremely low FQY of 5n (0.0008 in ethanol) implies the presence of a non-emissive TICT state in 5k if the amine group can freely rotate.This point has been validated by TD-DFT calculations for a similar molecule 5a with an acetyl group (-COMe, see Figure 7) as the acceptor [84].The smaller FQY variation upon changing the donor or acceptor strength compared to other frameworks (Figure 7) indicates that the barrier for TICT formation is relatively high for the 2,6-subsituted naphthalene (5a-5c in Figure 7, and 5k versus 5f in Figure 12).Furthermore, the benzylidene-imidazolinone derivatives 9e, 9f, and 9g (see Figure 12, bottom panel) are examples with recently available experimental data from our lab to showcase the site specificity for TICT [35,131], similar to coumarin derivatives 2g and 2h.The derivative 9e is capable of TICT with characteristic polarity-dependent FQYs due to the 4-position -NMe 2 group that facilitates electron delocalization (Figures 12 and 13).In sharp contrast, the 3-position -NMe 2 group in 9f results in significant fluorescence quenching in alcohols (e.g., 0.0053 in MeOH).The peculiar high FQY in water (0.82) was attributed to the formation of a water-mediated intermolecular H-bonding network between the -NMe 2 and 4-position -OH groups of the chromophore, with an intervening solvent (water) molecule.The TICT mechanism was deemed inapplicable for 9f based on quantum calculations as well as the locked amino derivative 9g that exhibits low FQYs in both water and alcohols.In toluene, both 9f and 9g exhibit dual fluorescence (the redder emission band is much stronger than the bluer emission band) but the origin remains elusive (Figure 12), which constitutes a potentially engaging and revealing future research project.

Brief Insights into Other Fluorescence Quenching Mechanisms
Besides TICT that can effectively deactivate the excited state, some other processes or mechanisms could also lead to fluorescence quenching in amine-containing molecules.Liu et al. proposed a twisted intramolecular charge shuttle (TICS) mechanism which involves the twisting of the amine group [132].TICS differs from TICT in that the electron donor and acceptor moieties dynamically switch their roles during the twisting events in the excited state.This mechanism has so far only been proposed and demonstrated in boron-dipyrromethene (BODIPY) derivatives.Photoinduced electron transfer (PET) and Förster resonance energy transfer (FRET) can also cause dramatic fluorescence quenching [133,134].While the intermolecular PET and FRET have been well studied, the intramolecular ones, particularly the former, are less exhaustively explored [133,[135][136][137][138][139][140][141].For example, intramolecular PET has not received compelling evidence from time-resolved spectroscopy to validate the presence of radical ions, especially for compact molecules.Thus, they are much less common when the aforementioned discussions are limited to compact amine-containing chromophores.
In this section, we will review and discuss some other mechanisms besides TICT that are universal.These energy dissipation/relaxation pathways can readily occur in amine-containing fluorescent molecules, and quench fluorescence to various extents.Note that these mechanisms are usually not exclusive of each other for the same chromophore.

Intersystem Crossing
Although intersystem crossing (ISC) is not directly caused by amine groups, it can occur in many amine-containing chromophores and significantly affect FQY (φ F ).For example, DMABN (1a) has high ISC quantum yields (φ ISC ) to enter the lowest triplet state (T 1 ) in various solvents (>70%, see Figure 12 top left panel); that is, ISC is the most important decay pathway [27].It has been shown that T 1 in DMABN is preceded by the TICT state and has a non-twisted structure with no clear CT character [27,69,142].The prominent ISC is also present for many DMABN derivatives.The naphthalene derivative 5e shows solvent-dependent φ ISC (Figure 12 top right panel), indicative of the polar excited states (singlet and/or triplet) [143,144].
Though the theory for ISC has advanced from the purely electronic spin-orbital coupling described by El-Sayed's rule to spin-vibronic coupling with the vibrational contribution outlined by the energy gap law [145,146], an accurate prediction of ISC given a chromophore structure remains challenging.However, some insights into ISC may become practically useful in reducing φ ISC for a higher FQY.
First, the spin-orbital coupling reveals the heavy-atom effect.Besides metal-organic complexes, halogens are known to promote ISC for organic chromophores such as coumarin and naphthalene (see Section 3 above).For example, the incorporation of iodine at position 3 of Coumarin 1 (7-diethylamino-4-methylcoumarin) causes efficient ISC and leads to a much lower FQY (0.026) than Coumarin 1 (0.375, 2d in Figure 7) in MeOH [147].Though this trend is not universal, it is noteworthy when low FQYs occur in chromophores that contain halogens (particularly Br and I).
Second, the vibrational aspects of ISC can be described by the energy gap law that formulates the radiationless transition probability of ISC such as S 1 → T 1 [148].The weak and strong coupling limits have been discussed to distinguish cases of a small or large displacement between PESs of the two electronic states involved in the transition of interest, respectively.In the weak coupling limit, the transition probability decreases exponentially with increasing energy gap; while in the strong coupling limit, the dependence exhibits a gaussian profile.However, the energy gap law might not be conclusive in attempting to inhibit S 1 → T 1 transition due to the typically small S 1 -T 1 energy gap.In this case, the acceptor vibrational modes do not necessarily need to be of high frequency such as C-H stretch compared to S 1 → S 0 and T 1 → S 0 transitions with large energy gaps (see below in Section 5.2).Lower-frequency modes with relatively high quanta can still be resonant with the S 1 -T 1 energy gap to promote ISC [149][150][151].Therefore, despite the expected intramolecular isotopic effect as observed for some molecules, the deuteration of C-H with lower vibrational frequencies for different chromophore structures may not lower φ ISC [152][153][154].A trial-and-error approach is likely still needed to modify the chromophore structure for effective inhibitions of ISC and achievement of a higher FQY.

Energy Gap Law
Besides ISC such as S 1 → T 1 transition, the energy gap law (EGL) is also applicable to the S 1 → S 0 radiationless transition as internal conversion (IC) that lowers FQY [155,156].Such IC efficiency usually increases with smaller transition gaps; as a result, the FQY decreases for red-emitting chromophores.Besides the weak coupling limit (regular EGL), the EGL predicts a gaussian dependence of the transition probability on [∆E − λ], wherein ∆E is the transition energy gap and λ is the reorganization energy (related to the Stokes shift), in the strong coupling limit where the nuclear displacement between the two PESs (e.g., S 1 and S 0 ) is large.In the inverted region, the transition probability increases with a larger ∆E [145, 146,148].The fact that many chromophores with large S 1 -S 0 displacements exhibit regular EGL (i.e., a greater transition probability with a decreasing ∆E) is likely due to the much larger electronic transition gap (∆E, in the range of tens of thousands of cm −1 ) with respect to the Stokes shift (usually thousands of cm −1 ).
For large transition gaps, high-frequency modes such as C-H stretch are favorable as the energy acceptor modes to promote IC since less quanta are needed with respect to the low-frequency ones (see Section 5.1 above).Therefore, the S 1 → S 0 IC typically exhibits a pronounced isotopic effect upon deuteration of C-H in the chromophore because C-D has a much lower frequency [149, [157][158][159].The same insight has been manifested by the lengthening of phosphorescence lifetime upon C-H deuteration due to the relatively large T 1 -S 0 gap.The amine group is commonly seen in red-emitting donor-acceptor chromophores due to its strong electron-donating capability while the EGL may play a role in promoting IC and lowering FQY, which can be verified by the deuterium isotope effect.

Solvent-Assisted Electronic-to-Vibrational FRET
Similar to the EGL that describes the intramolecular electronic-to-vibrational resonance energy transfer (EVRET), the solute-to-solvent intermolecular EVRET (SS-EVRET) has also been found to affect the S 1 → S 0 IC and hence FQY of the solute chromophore [160][161][162][163][164]. The high-frequency vibrational modes of the solvent such as O-H stretch can act as the acceptors so appreciable deuterium isotope effects usually exist for the chromophores in solvents.For example, water/H 2 O is a common fluorescence quencher and in many cases the quenching is caused by the SS-EVRET [165][166][167].Heavy water/D 2 O can mitigate the quenching by a factor of up to ~3 as reported [167].The SS-EVRET in water follows an EGLlike trend and the quenching becomes more efficient as the chromophore goes into redder regions.This is because the overtone and combination transitions of the high-frequency O-H stretching modes (symmetric and asymmetric) have weak absorption in the visible red region [168], thus enabling the FRET-type quenching.D 2 O diminishes this absorption due to the lower O-D stretch frequency.The SS-EVRET has also been found operative in alcohols and solvents with C-H bonds (for some chromophores), which is weaker than that in water [167].

H-Bonding-Induced Fluorescence Quenching
The H-bonding-induced IC is a commonly discussed mechanism for fluorescence quenching.Many chromophores have been shown to demonstrate the FQY dependence on the strength of solute-solvent H-bonds as studied by both experiments and theoretical calculations, and the influence could be significant [119,[169][170][171][172][173][174][175][176][177][178][179][180].However, the fundamental origin of such H-bonding-assisted nonradiative deactivation is not clearly understood.Moreover, other quenching mechanisms were often neglected in these studies such as ISC, EGL, etc. (see Sections 5.1 and 5.2 above), so the observed fluorescence quenching was all ascribed to the H-bonding interaction, essentially leading to overinterpretation.It is more likely the case when H-bonding can dramatically red-shift the absorption and emission wavelengths in protic solvents, the other mechanisms such as EGL (Section 5.2) and SS-EVRET (Section 5.3) can also come into play.
On the other hand, the magnitude of FQY reduction upon H-bonding is very large in some cases.Such a result is particularly common for meta-conjugated donor-acceptor chromophores which are highly solvatochromic and fluorogenic with solvent polarity (e.g., 1w and 2h in Figure 12 and others in literature) [114,122].Other non-meta-conjugated chromophores such as 5h-5j (Figure 12) may also exhibit drastic H-bonding/polaritydependent FQY [126,127].These results can hardly be explained by mechanisms such as SS-EVRET which usually results in up to a few folds (<3) of FQY enhancement upon solvent deuteration [167], yet the prominence of mechanisms such as ISC or others still needs to be examined by suitable experimental and computational methods.Nevertheless, the H-bonding-induced fluorescence quenching remains an underexplored mechanism and thus requires further studies to dissect the underlying contributing factors at the molecular level with sufficient spectral and temporal resolutions.

Conclusions and Perspectives
In summary, we have reviewed common fluorescence-modulating mechanisms that are directly or indirectly caused by the amine groups which are important constituents for a myriad of organic chromophores such as chemosensors, biosensors, and beyond.The major player, twisted intramolecular charge transfer (TICT), was discussed in detail.We focused on the fundamental aspects of TICT and aimed to provide a comprehensive understanding of TICT including objective evidence, current debates, and key controlling factors.Two types of systems with active TICT state formations, either emissive or nonemissive, are present because of twisting of the amine group.The TICT mechanism is supported by both experimental and computational evidence: (1) structural modifications such as rigidified amines suggest the necessity of the amine-twisting motion in producing a lower-energy CT state in dual-fluorescence chromophores; (2) time-resolved electronic and vibrational spectroscopic data validate the donor-acceptor electronic decoupling upon TICT; (3) theoretical calculations reveal that the twisted conformation is an energy minimum on the excited-state PES.Debates on the assignment of the lower-energy CT emission to a TICT state for dual-fluorescence systems have involved a few other models including PICT (planar), RICT (rehybridized), and WICT (wagged).These models, however, were mostly refuted by either time-resolved spectroscopic or computational studies.TICT remains the most popular and accepted mechanism in explaining the dual fluorescence bands in the family of amino-benzonitriles as well as the significant solvent polarity-dependent fluorescence quenching for many other amine-containing fluorescent molecules.The controlling factors for TICT generation and access were also summarized.In particular, donor and acceptor strengths, steric hindrance and structural constraint, solvent polarity and viscosity, as well as site specificity of donor and acceptor, are shown to be crucial in controlling the occurrence and efficiency of TICT.
Besides TICT, we have also outlined other mechanisms that can contribute to fluorescence quenching pathways for the amine-containing chromophores, especially for those compact ones.Except for PET and FRET, which usually occur in relatively large molecules, intersystem crossing (ISC), energy gap law (EGL), solvent-assisted electronicto-vibrational FRET, and H-bonding-induced fluorescence quenching constitute several common processes that can influence the fluorescence efficiency.
Practically speaking, organic fluorophores with very high FQYs or environmentsensitive FQYs are desirable for diverse bioimaging and biosensing applications across disciplines.Understanding the structure-energy-function (fluorescence) relationships with fundamental knowledge of possible excited-state quenching pathways is critical for the rational improvement of bright chemosensors and fluorescence-based probes/labels.Since researchers usually focus on one mechanism and overlook the others within one study while the contributing factors are not mutually exclusive, most engineered fluorophores cannot reach unity or near-unity FQYs.Consequently, the research of comprehensively exploring fluorescence quenching pathways for the same system followed by the corresponding molecular engineering, or focusing on one mechanism while disabling the others are expected to be feasible and impactful in guiding the broad communities to develop superbright fluorophores with suitable emission colors (typically "redder is better" in bioimaging applications) for relevant applications.For example, to study the H-bonding-induced fluorescence quenching, one should ideally ensure beforehand that TICT, ISC, EGL, and SS-EVRET are effectively suppressed/inoperative and thus make marginal interference.Accordingly, one can structurally constrain the amine group, select a fluorophore with no appreciable ISC, use a perdeuterated fluorophore, and use perdeuterated solvents.The conclusion obtained this way would be quantitatively more meaningful in understanding the H-bonding-induced fluorescence quenching, and drawing stronger molecular insights with more predictive power.
Through this review, we hope that the correlated mechanistic insights into TICT as well as general knowledge of other fluorescence quenching mechanisms could help broad communities to improve the fundamental understandings of typical energy dissipation pathways for the amine-containing chromophores.As the mechanisms such as EGL, SS-EVRET, and H-bonding-induced fluorescence quenching remain underexplored compared to TICT and ISC, more in-depth investigations (from advanced spectroscopic techniques to high-level calculations) for these excited-state non-equilibrium processes in action are welcome in the future.We envision that the comprehensive portrait of radiative and nonradiative decay pathways will substantially boost the efficiency and efficacy in the rational development of bright and colorful fluorescent molecules, materials, sensors, probes, and a versatile group of functional nanomachines in general.

Figure 1 .
Figure 1.Schematics for emission properties and potential energy curves along the amine-twi coordinate with an (a,c) emissive or (b,d) non-emissive TICT state.In (a) and (b), the relative rescence intensities in solvents of different polarities are illustrative and not exactly based on e imental data.In (c) and (d), the transitions of excitation (Ex.), internal conversion (IC), and flu cence (Fl.) are indicated by solid, dashed, and wavy arrows, respectively.In case of an emi TICT state, blue and red curves represent the presumable 1 La and 1 Lb states, respectively, in emission molecules such as DMABN.The crossing of two potential energy curves of 1 La an states is depicted by dashed lines.S1 and S2 potential energy curves are shown as an avoided c ing to demonstrate the precursor-successor relationship between LE and TICT states.

Figure 1 .
Figure 1.Schematics for emission properties and potential energy curves along the amine-twisting coordinate with an (a,c) emissive or (b,d) non-emissive TICT state.In (a) and (b), the relative fluorescence intensities in solvents of different polarities are illustrative and not exactly based on experimental data.In (c) and (d), the transitions of excitation (Ex.), internal conversion (IC), and fluorescence (Fl.) are indicated by solid, dashed, and wavy arrows, respectively.In case of an emissive TICT state, blue and red curves represent the presumable 1 L a and 1 L b states, respectively, in dual-emission molecules such as DMABN.The crossing of two potential energy curves of 1 L a and 1 L b states is depicted by dashed lines.S 1 and S 2 potential energy curves are shown as an avoided crossing to demonstrate the precursor-successor relationship between LE and TICT states.

Figure 2 .
Figure 2. Structural modifications of DMABN for elucidation of the TICT mechanism.The various series of chromophores are grouped according to the blue labels in each colored box.

Figure 2 .
Figure 2. Structural modifications of DMABN for elucidation of the TICT mechanism.The various series of chromophores are grouped according to the blue labels in each colored box.

Chemosensors 2023, 11 , x 5 of 34 Figure 3 .
Figure 3. Steady-state electronic spectra for DMABN derivatives with various geometrical confinements.(a) Emission spectra of 1a, 1b, 1f, and 1g in CH2Cl2 at room temperature.The 3-methyl-4dimethylaminobenzonitrile (second row from the top) shown has a single CT emission band as well, which is similar to 1g.We only use the latter as an example to demonstrate the steric effect.Adapted with permission from Ref. [40].Copyright 1979 Elsevier B.V. (b) Absorption (abs.) and emission (LE and CT) spectra of 1b-d in n-hexane (solid lines) and acetonitrile (dotted lines) at 25 °C.Adapted with permission from Ref. [15].Copyright 1997 Elsevier B.V. (c) Absorption (abs.) and emission spectra of 1e in n-hexane at 25 °C (top panel) and −95 °C (bottom panel) with the LE and ICT bands denoted separately underneath the broad emission band.Adapted with permission from Ref. [25].Copyright 2007 American Chemical Society.

Figure 3 .
Figure 3. Steady-state electronic spectra for DMABN derivatives with various geometrical confinements.(a) Emission spectra of 1a, 1b, 1f, and 1g in CH 2 Cl 2 at room temperature.The 3-methyl-4dimethylaminobenzonitrile (second row from the top) shown has a single CT emission band as well, which is similar to 1g.We only use the latter as an example to demonstrate the steric effect.Adapted with permission from Ref. [40].Copyright 1979 Elsevier B.V. (b) Absorption (abs.) and emission (LE and CT) spectra of 1b-d in n-hexane (solid lines) and acetonitrile (dotted lines) at 25 • C. Adapted with permission from Ref. [15].Copyright 1997 Elsevier B.V. (c) Absorption (abs.) and emission spectra of 1e in n-hexane at 25 • C (top panel) and −95 • C (bottom panel) with the LE and ICT bands denoted separately underneath the broad emission band.Adapted with permission from Ref. [25].Copyright 2007 American Chemical Society.

Figure 4 .Figure 4 .
Figure 4. Theoretical models for the CT emission of DMABN and time-resolved excited-state electronic spectra for DMABN in solution.(a) TICT, PICT, and RICT models to explain the CT state structure of DMABN.Reproduced with permission from Ref. [21].Copyright 2000 American Chemical Society.(b) Femtosecond time-resolved excited-state absorption spectra of DMABN in acetonitrile (Acn) at room temperature with 305 nm excitation.Peak intensity evolutions are indicated by black arrows and the transient species are shown as ππ *, πσ *, and TICT.Reproduced with permission from Ref. [60].Copyright 2011 The Royal Society of Chemistry.(c) Steady-state absorption spec-Figure 4. Theoretical models for the CT emission of DMABN and time-resolved excited-state electronic spectra for DMABN in solution.(a) TICT, PICT, and RICT models to explain the CT state

Figure 6 .
Figure 6.Schematic S1 and S2 potential energy surfaces of DMABN in vacuo.The amine group twisting is the reaction coordinate X3.The conical intersection (CI) seam is depicted by the thick red curve.The S2 state energy minimum is marked by a white dot and the label of S2-(P)ICT close to the planar (P) geometry.The green and blue curved arrows indicate the nonadiabatic and adiabatic pathways, respectively.Reproduced with permission from Ref. [82].Copyright 2005 American Chemical Society.

Figure 6 .
Figure 6.Schematic S 1 and S 2 potential energy surfaces of DMABN in vacuo.The amine group twisting is the reaction coordinate X 3 .The conical intersection (CI) seam is depicted by the thick red curve.The S 2 state energy minimum is marked by a white dot and the label of S 2 -(P)ICT close to the planar (P) geometry.The green and blue curved arrows indicate the nonadiabatic and adiabatic pathways, respectively.Reproduced with permission from Ref. [82].Copyright 2005 American Chemical Society.

Figure 9 .
Figure 9. Theoretical modeling of TICT in Coumarin 152 by TDDFT method.Relative S1 energy path along the amine-twisting coordinate (as a function of θ in degree unit) using various functionals and (a) cLR-SMD solvent formulism in four different solvents, (b) LR-SMD solvent formulism in water, and (c) SS-SMD solvent formulism in cyclohexane.(d) The electron density distributions of hole and electron natural transition orbitals (NTOs) of LE/ICT and TICT states as calculated at the B3LYP (left panels) and CAM-B3LYP (right panels) level of theory in vacuo.The transition oscillator strength () is listed by the downward block arrows (white: emissive; dark: non-emissive).Adapted with permission from Ref. [84].Copyright 2020 Wiley-VCH.

Figure 9 .
Figure 9. Theoretical modeling of TICT in Coumarin 152 by TDDFT method.Relative S 1 energy path along the amine-twisting coordinate (as a function of θ in degree unit) using various functionals and (a) cLR-SMD solvent formulism in four different solvents, (b) LR-SMD solvent formulism in water, and (c) SS-SMD solvent formulism in cyclohexane.(d) The electron density distributions of hole and electron natural transition orbitals (NTOs) of LE/ICT and TICT states as calculated at the B3LYP (left panels) and CAM-B3LYP (right panels) level of theory in vacuo.The transition oscillator strength ( f ) is listed by the downward block arrows (white: emissive; dark: non-emissive).Adapted with permission from Ref. [84].Copyright 2020 Wiley-VCH.

Figure 10 .
Figure 10.Effects of donor structure on TICT fluorescence.(a) Fluorescence spectra of DMABN and its derivatives with the increasing alkyl chain length of amine: DMABN (methyl), DEABN (ethyl), DPrABN (n-propyl), and DDABN (n-decyl) at 25 °C in cyclohexane (left), benzene (middle), and 1,4dioxane (right panels).The fluorescence spectra are decomposed into two bands (LE, dotted; and TICT, solid curves).The frequency (wavenumber) and wavelength axes are shown below and above the spectral data panels, respectively.Adapted with permission from Ref. [52].Copyright 1992 American Chemical Society.(b) Fluorescence spectra of a series of DMABN derivatives at 20 °C in diethyl ether.The fluorescence spectra are decomposed into LE and/or TICT bands (dotted curves).The chemical structures (red) are depicted in each figure inset.Adapted with permission from Ref. [53].Copyright 1995 Royal Netherlands Chemical Society.

Figure 10 .
Figure 10.Effects of donor structure on TICT fluorescence.(a) Fluorescence spectra of DMABN and its derivatives with the increasing alkyl chain length of amine: DMABN (methyl), DEABN (ethyl), DPrABN (n-propyl), and DDABN (n-decyl) at 25 • C in cyclohexane (left), benzene (middle), and 1,4-dioxane (right panels).The fluorescence spectra are decomposed into two bands (LE, dotted; and TICT, solid curves).The frequency (wavenumber) and wavelength axes are shown below and above the spectral data panels, respectively.Adapted with permission from Ref. [52].Copyright 1992 American Chemical Society.(b) Fluorescence spectra of a series of DMABN derivatives at 20 • C in diethyl ether.The fluorescence spectra are decomposed into LE and/or TICT bands (dotted curves).The chemical structures (red) are depicted in each figure inset.Adapted with permission from Ref. [53].Copyright 1995 Royal Netherlands Chemical Society.

Figure 11 .
Figure 11.Effects of fused cyclization of amine groups on the FQY of rhodamine.The FQY data ( ) are taken from Ref. [97].

Figure 11 .
Figure 11.Effects of fused cyclization of amine groups on the FQY of rhodamine.The FQY data (φ F ) are taken from Ref. [97].

Figure 13 .
Figure 13.Representative resonance structures of the aminated chromophore scaffolds listed in Figure 12.The negative signs on certain ring sites denote the specific locations (see the atomic numbering in Figure12) to position an electron-withdrawing group and thus achieve the improved electron delocalization and energy stabilization.