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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">808957</article-id>
<article-id pub-id-type="doi">10.3389/fchem.2021.808957</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Progress on Exploring the Luminescent Properties of Organic Molecular Aggregates by Multiscale Modeling</article-title>
<alt-title alt-title-type="left-running-head">Zhao and Zheng</alt-title>
<alt-title alt-title-type="right-running-head">Multiscale Modeling of Molecular Aggregates</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Jingyi</given-names>
</name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zheng</surname>
<given-names>Xiaoyan</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1538147/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Beijing Key Laboratory of Photoelectronic/Electrophotonic Conversion Materials, Key Laboratory of Cluster Science of Ministry of Education, Key Laboratory of Medical Molecule Science and Pharmaceutics Engineering, Ministry of Industry and Information Technology, School of Chemistry and Chemical Engineering, Beijing Institute of Technology</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1014107/overview">Yuncong Chen</ext-link>, Nanjing University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1546153/overview">Xiaosong Cao</ext-link>, Shenzhen University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1490051/overview">Zikai He</ext-link>, Harbin Institute of Technology, Shenzhen, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xiaoyan Zheng, <email>xiaoyanzheng@bit.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Physical Chemistry and Chemical Physics, a section of the journal Frontiers in Chemistry</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>01</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>808957</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>11</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>12</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Zhao and Zheng.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhao and Zheng</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Luminescent molecular aggregates have attracted worldwide attention because of their potential applications in many fields. The luminescent properties of organic aggregates are complicated and highly morphology-dependent, unraveling the intrinsic mechanism behind is urgent. This review summarizes recent works on investigating the structure&#x2013;property relationships of organic molecular aggregates at different environments, including crystal, cocrystal, amorphous aggregate, and doped systems by multiscale modeling protocol. We aim to explore the influence of intermolecular non-covalent interactions on molecular packing and their photophysical properties and then pave the effective way to design, synthesize, and develop advanced organic luminescent materials.</p>
</abstract>
<kwd-group>
<kwd>aggregation-induced emission</kwd>
<kwd>structure&#x2013;property relationship</kwd>
<kwd>non-covalent interactions</kwd>
<kwd>aggregation effect</kwd>
<kwd>multiscale modeling</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>In recent years, organic luminescent materials have attracted considerable attention due to their practical applications in optoelectronic devices, such as organic light-emitting diodes (OLEDs), organic light-emitting transistors (OLETs), and sensors (<xref ref-type="bibr" rid="B40">Ostroverkhova, 2016</xref>; <xref ref-type="bibr" rid="B76">Zhao Z. et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B50">Salehi et&#x20;al., 2019</xref>). Traditional organic luminescence always shows bright emission in solution, but weak or quenched emission in aggregated states, that is the aggregation-caused quenching (ACQ) effect (<xref ref-type="bibr" rid="B66">Watson and Livingston, 1948</xref>). However, organic luminescent materials are usually used in aggregated states. The notorious ACQ effect has significantly hindered the development of organic luminescence. Fortunately, Tang&#x2019;s group proposed the aggregation-induced emission (AIE) concept: organic molecules exhibit weak emission or non-emission in dilute solutions, while emitting brightly in the aggregated states (<xref ref-type="bibr" rid="B31">Luo et&#x20;al., 2001</xref>; <xref ref-type="bibr" rid="B55">Tang et&#x20;al., 2001</xref>). A large number of AIE luminogens (AIEgens) have been designed and synthesized in recent years, and it opens an avenue to an array of possibilities for their applications in photoelectric (<xref ref-type="bibr" rid="B13">Furue et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B29">Liu et&#x20;al., 2020</xref>), medical (<xref ref-type="bibr" rid="B53">Song et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B51">Sharath Kumar et&#x20;al., 2021</xref>), environmental (<xref ref-type="bibr" rid="B5">Cheng et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B65">Wang et&#x20;al., 2020</xref>), and military (<xref ref-type="bibr" rid="B81">Zhou et&#x20;al., 2019</xref>) fields and so on (<xref ref-type="bibr" rid="B35">Mei et&#x20;al., 2015</xref>). It is demonstrated that molecular aggregates usually show different photophysical properties from dispersed monomers in dilute solutions, and their luminescent properties are usually highly morphology-dependent. For example, <xref ref-type="bibr" rid="B36">Mutai et&#x20;al. (2014)</xref> found that 6-Cyano 2-(2&#x2032;-Hydroxyphenyl)imidazo[1,2-a]pyridine has three different crystals but emits three different fluorescent colors due to their divergent molecular packing. Tang et&#x20;al. showed that some nitro-substituted tetraphenylethylene (TPE) and triphenylamine (TPA) are non-emissive in the crystal state but glitter brightly in amorphous aggregates (<xref ref-type="bibr" rid="B75">Zhao W. et&#x20;al., 2018</xref>). Zhao et&#x20;al. proposed a series of organic emitters by integrating planar and distorted functional groups (donor, acceptor, or &#x3c0;-plane) with long alkyl side chains, which could impart bright emission in both solution and solid states (<xref ref-type="bibr" rid="B67">Wu et&#x20;al., 2019</xref>). In addition, introducing a supramolecular host molecule into the AIEgen can effectively enhance the emission efficiency in both the monomer and aggregated states due to the non-covalent interactions between the host and guest molecules (<xref ref-type="bibr" rid="B25">Liang et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B54">Song et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B26">Liang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B28">Liow et&#x20;al., 2017</xref>). And, doping trace amounts of luminophores into host molecules makes efficient room temperature phosphorescence (<xref ref-type="bibr" rid="B15">Hirata et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B18">Kabe and Adachi, 2017</xref>; <xref ref-type="bibr" rid="B14">Han et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B21">Lei et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B22">Lei et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B68">Xie et&#x20;al., 2021</xref>). Therefore, the luminescent properties of organic molecular aggregates are sensitive to molecular packing and intermolecular non-covalent interactions and are highly complicated.</p>
<p>Exploring the structure&#x2013;property relationships of organic molecular aggregates is of great importance in designing, synthesizing, and developing advanced luminescent candidates. In experiments, the restriction of intramolecular rotation (RIR) mechanism, the intramolecular vibration (RIV) mechanism, and also the restriction of motion (RIM) mechanism were proposed to explain the AIE phenomenon (<xref ref-type="bibr" rid="B4">Chen et&#x20;al., 2003</xref>; <xref ref-type="bibr" rid="B9">Dong et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B16">Hong et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B23">Leung et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B34">Mei et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B60">Tu et&#x20;al., 2021</xref>). Theoretically, Peng and Shuai et&#x20;al. proposed that the trip-out of electron&#x2013;vibration coupling blocks the excited-state non-radiative decay channels in aggregated states and turns fluorescence on (<xref ref-type="bibr" rid="B46">Peng et&#x20;al., 2007a</xref>; <xref ref-type="bibr" rid="B47">Peng et&#x20;al., 2007b</xref>; <xref ref-type="bibr" rid="B39">Niu et&#x20;al., 2010</xref>). Li and Blancafort et&#x20;al. put forward the restricted access to a conical interaction (RACI) mechanism based on the potential energy surface analysis (<xref ref-type="bibr" rid="B48">Peng et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B8">Crespo-Otero et&#x20;al., 2019</xref>). Shuai&#x2019;s group also proposed the blockage of non-radiative decay <italic>via</italic> the minimum energy crossing point (MECP) away from the harmonic region in aggregates (<xref ref-type="bibr" rid="B41">Ou et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B45">Peng and Shuai, 2021</xref>). In addition, other scenarios have also been declared, including excited-state intramolecular proton-transfer (ESIPT)&#x2013;inspired solid state emitters (<xref ref-type="bibr" rid="B42">Padalkar and Seki, 2016</xref>; <xref ref-type="bibr" rid="B74">Zhao J.&#x20;et&#x20;al., 2019</xref>), the restriction of the E/Z isomerization mechanism (<xref ref-type="bibr" rid="B6">Chung et&#x20;al., 2013</xref>), the blockage of access to the dark state with n &#x2192; &#x3c0;&#x2a; or &#x3c3;&#x2192; &#x3c0;&#x2a; in the aggregation phase (<xref ref-type="bibr" rid="B32">Ma et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B58">Tu et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B44">Peng et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B60">Tu et&#x20;al., 2021</xref>), halogen bonding interactions&#x2013;induced effective phosphorescence (<xref ref-type="bibr" rid="B2">Cai et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B71">Yang et&#x20;al., 2020</xref>), the energy transfer&#x2013;facilitated room temperature phosphorescence in a trace amount guest-doped host-matrix system (<xref ref-type="bibr" rid="B20">Lei et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B22">Lei et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B64">Wang et&#x20;al., 2021</xref>), and so&#x20;on.</p>
<p>Theoretical calculations play key roles in exploring the relationships between molecular structures and luminescent properties. The luminescent properties of AIEgens are highly environment-dependent, so different molecular models need to be setup according to the relevant environments in experiments, such as the dilute solution, amorphous aggregate, and crystal (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>). It is well-known that most AIE phenomena are usually confirmed in the solution, so the model setup should consider the solvent effect. Especially, molecules with intramolecular charge transfer properties are quite sensitive to the solvent polarity, and they usually demonstrate red-shifted emission as polarity increases (<xref ref-type="bibr" rid="B59">Tu et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B73">Zhang et&#x20;al., 2020</xref>). The implicit solvation models, such as the polarizable continuum model (PCM), are good for considering the solvent effect (<xref ref-type="bibr" rid="B57">Tomasi et&#x20;al., 2005</xref>; <xref ref-type="bibr" rid="B11">Fan et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B49">Provorse Long and Isborn, 2017</xref>). For the solvent insensitive molecules, to be simple, sometimes the model is setup at the gas phase directly. For the solid phase, we build the hybrid quantum mechanics/molecular mechanics (QM/MM) model to consider the influence of molecular packing on photophysical properties of the studied system (<xref ref-type="bibr" rid="B62">Vreven et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B27">Lior-Hoffmann et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B61">Van der Kamp and Mulholland, 2013</xref>; <xref ref-type="bibr" rid="B7">Chung et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B52">Shen et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B43">Pahima et&#x20;al., 2019</xref>). During the QM/MM calculations, the QM molecule is active, and all other molecules in the MM region are frozen. The density functional theory (DFT)/time-dependent DFT (TDDFT) are chosen to deal with the luminescent properties of the QM molecule at the ground and excited states, respectively. For crystal, the QM/MM model can be setup based on the experimental X-ray crystal structure. However, the molecular conformations of AIEgens in amorphous aggregates or thin films are not available in experiments. The large timescale molecular dynamics (MD) simulations need to be performed to determine the conformations (<xref ref-type="bibr" rid="B80">Zheng et&#x20;al., 2019</xref>). Then, the QM/MM models are setup, and the photophysical properties of AIEgens are calculated based on the obtained MD conformations accordingly. Moreover, the molecular packing of amorphous aggregates is irregular, resulting in distinct local environments for each molecule in the amorphous aggregate. It is noted that we need to consider various molecular packings in amorphous aggregates during calculations.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Setup models of organic molecules in dilute solution, crystal, and amorphous aggregates.</p>
</caption>
<graphic xlink:href="fchem-09-808957-g001.tif"/>
</fig>
<p>In this review, we will summarize some recent works to demonstrate the relationship between molecular packing of organic molecules and their luminescent properties at the atomic level by using multiscale modeling protocol. Here, the influence of intermolecular non-covalent interactions on the molecular packing and their photophysical properties are highlighted at several representative environments, including from the regular packing crystal to the irregular amorphous aggregates and then from the host&#x2013;guest complexation by supramolecular self-assembly to the solvent-involved cocrystal, and then to host&#x2013;guest doping systems. This work emphasizes the ability of multiscale modeling protocol in explaining the luminescent properties of organic molecular aggregates.</p>
</sec>
<sec id="s2">
<title>Luminescent Properties of Organic Aggregates</title>
<sec id="s2-1">
<title>Organic Aggregates of the Propeller-Shaped Silole System</title>
<p>The first molecule discussed here belongs to the typical propeller-shaped AIE system. Unlike crystals with periodic molecular packing, amorphous aggregates are structurally heterogeneous; it is a great challenge to investigate the aggregation effects on photophysical properties of AIEgens. Taking the emblematic hexaphenylsilole (HPS) as an example (see <xref ref-type="scheme" rid="sch1">Scheme 1</xref>), the aggregation effect of HPS was systematically investigated by simulating four different sizes of amorphous aggregates (20, 30, 40, and 60) by combining MD and QM/MM calculations (<xref ref-type="bibr" rid="B79">Zheng et&#x20;al., 2016</xref>). The embedded QM/MM model and exposed QM/MM model (insets in <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>) were setup, respectively, to differentiate the different environments of HPS embedded inside the amorphous aggregate and exposed on the surface. In addition, for each aggregate size, five embedded molecules with different conformations were selected, and their photophysical properties were calculated accordingly to include the impact of the molecular packing difference. Compared to HPS crystal, the fluorescent emission in amorphous aggregate is red-shifted, giving a direct interpretation for the crystallization-enhanced emission phenomenon in the experiment (<xref ref-type="bibr" rid="B10">Dong et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B77">Zhao et&#x20;al., 2020</xref>). The fluorescence quantum efficiency (FQE) was calculated by <italic>&#x3b7;</italic>
<sub>F</sub>&#x2248;<italic>k</italic>
<sub>r</sub>/(<italic>k</italic>
<sub>r</sub> &#x2b; <italic>k</italic>
<sub>ic</sub>), where <italic>k</italic>
<sub>r</sub> is the radiative decay rate constant, and <italic>k</italic>
<sub>ic</sub> is the non-radiative decay rate constant, respectively. The FQE of both the embedded (&#x3e;92.7%) and exposed HPS molecules (&#x3c;7%) are size-independent, and the FQE of embedded HPS is 1&#x2013;2 orders of magnitude larger than those of the exposed ones (<xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>). This is because the environment-insensitive <italic>k</italic>
<sub>r</sub> is hardly changed, but the <italic>k</italic>
<sub>ic</sub> of embedded HPS molecules are significantly smaller than those of exposed ones. Analyzing the key parameter of reorganization energy (<italic>&#x3bb;</italic>) determining <italic>k</italic>
<sub>ic</sub>, it indicates that the <italic>&#x3bb;</italic> of dihedral angles (<italic>&#x3bb;</italic>
<sub>dihedral</sub>) mainly contributes to the different <italic>k</italic>
<sub>ic</sub> between the embedded and the exposed HPS molecules in amorphous aggregates (<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>), implying that the densely packed amorphous aggregate significantly blocks the non-radiative decay channel of the excited state energy by retarding the electron&#x2013;vibration coupling of the low-frequency rotational modes of phenyl rings in HPS. We conclude that the FQE of the nano-sized aggregate is size-independent, and the embedded molecules dominate their luminescent intensity; therefore we predict there is a linear relationship between the fluorescent intensity and aggregate size, which was also successfully confirmed in the experiment (<xref ref-type="bibr" rid="B17">Jiang et&#x20;al., 2017</xref>; <xref ref-type="fig" rid="F2">Figure&#x20;2C</xref>).</p>
<fig id="sch1">
<label>SCHEME 1</label>
<caption>
<p>Overview of molecular structures discussed in this review.</p>
</caption>
<graphic xlink:href="fchem-09-808957-g008.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Average fluorescence quantum efficiency (FQE) of four embedded (red) and exposed (blue) HPS molecules extracted from amorphous aggregates with different sizes, and the representative embedded and exposed QM/MM models of HPS are shown in the insets. <bold>(B)</bold> <italic>&#x3bb;</italic>
<sub>dihedral</sub> of embedded and exposed HPS molecules in different sizes of aggregates. <bold>(C)</bold> Fluorescent intensity is linear to the volume of HPS aggregates. The volume (inset, atomic force microscope (AFM) image) and fluorescence (inset, fluorescence image) of individual HPS aggregate measured by fluorescence confocal atomic force microscopy. The red solid line is the linear fitting of experimental data (<xref ref-type="bibr" rid="B17">Jiang et&#x20;al., 2017</xref>). (Reproduced with permission from <xref ref-type="bibr" rid="B79">Zheng et&#x20;al. (2016)</xref>; Copyright 2016 The Royal Society of Chemistry).</p>
</caption>
<graphic xlink:href="fchem-09-808957-g002.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>Organic Aggregates of the Annulene-Based System Without Rotors</title>
<p>Cyclooctatetrathiophene (COTh, <xref ref-type="scheme" rid="sch1">Scheme 1</xref>) is a non-aromatic annulene-based eight-member ring (<xref ref-type="bibr" rid="B74">Zhao J.&#x20;et&#x20;al., 2019</xref>); it demonstrates aromaticity reversal property upon excitation, following the Baird&#x2019;s rule that the aromatic (anti-aromatic) molecule at the ground state (S<sub>0</sub>) reverses to the anti-aromatic (aromatic) property at the lowest excited triplet state (T<sub>1</sub>) (<xref ref-type="bibr" rid="B1">Baird, 1972</xref>). The aromaticity reversal can serve as a driving force inducing the significant conformational change to quench the emission. Thus, suppressing the excited-state aromaticity reversal of COTh turns the emission on (<xref ref-type="bibr" rid="B78">Zhao Z. et&#x20;al., 2019</xref>). Theoretical calculations for COTh in both isolated and crystalline states were carried out to unravel the AIE mechanism at the atomic level. The isolated COTh was setup at the gas phase, and the crystalline state was simulated by the QM/MM model (<xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>) to consider the influence of molecular packing on its photophysical properties. Upon excitation, the dihedral angles of neighboring thiophene rings of COTh are dramatically changed; the eight-member ring became more planar (<xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>), while the corresponding bond lengths and bond angles are still similar. The change of dihedral angles upon irradiation in solution is more significant than those of the crystalline state, that is to say, the conformation of COTh in crystal is more constrained, supported by its smaller <italic>&#x3bb;</italic> than that in solution. The larger <italic>&#x3bb;</italic> in solution is mainly contributed by the change of dihedral angles (<xref ref-type="fig" rid="F3">Figure&#x20;3C</xref>). In addition, the femtosecond transient-absorption spectra analysis also indicated that COTh has a very rapid molecular deformation in dilute solution, while the change is suppressed in the solid&#x20;state.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> QM/MM model of COTh in the crystalline state. <bold>(B)</bold> Key dihedral angles in both dilute solution and crystal at S<sub>0</sub> and S<sub>1</sub> states. <bold>(C)</bold> Projection <italic>&#x3bb;</italic> of COTh on internal coordinates, including bond lengths, bond angles, and dihedral angles. <bold>(D)</bold> NICS<sub>zz</sub> scan of COTh based on its transition-state structures at the S<sub>0</sub> (black) and T<sub>1</sub> (blue) states. The ACID plots of both S<sub>0</sub> and T<sub>1</sub> states were in the inset. Proposed decay pathways along the potential energy surface of COTh <bold>(E)</bold> in dilute solution and <bold>(F)</bold> in solid state. Abbreviation: GS, ground state; ES, excited state; TS, transition state; MES, minimum energy structure; A, absorption; F, fluorescence; NR, non-radiative decay. (Reproduced with permission from (<xref ref-type="bibr" rid="B78">Zhao Z. et&#x20;al., 2019</xref>); This figure is extracted from an open access journal with thanks; Copyright 2019 Nature Publishing Group).</p>
</caption>
<graphic xlink:href="fchem-09-808957-g003.tif"/>
</fig>
<p>The nucleus-independent chemical shift (NICS) and anisotropy of the induced current density (ACID) analysis were performed based on the S<sub>0</sub> and T<sub>1</sub> transition-state structures. As shown in <xref ref-type="fig" rid="F3">Figure&#x20;3D</xref>, the highly positive NICS<sub>zz</sub>(1) at S<sub>0</sub> and negative NICS<sub>zz</sub>(1) at T<sub>1</sub> indicate COTh is anti-aromatic at S<sub>0</sub> and aromatic at T<sub>1</sub>; therefore the aromaticity reversal occurred upon excitation in the COTh system. It is also supported by the different ring-current of the eight-member ring at S<sub>0</sub> and T<sub>1</sub> states (<xref ref-type="fig" rid="F3">Figure&#x20;3D</xref>). In general, the COTh molecule adopts a tub-like conformation at S<sub>0</sub> due to its non-aromatic feature (<xref ref-type="bibr" rid="B30">Liu et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B38">Nishinaga et&#x20;al., 2010</xref>); it can suffer a quick conformational change to approach the planar/quasi-planar aromatic state (<xref ref-type="bibr" rid="B19">Kotani et&#x20;al., 2020</xref>). Therefore, as illustrated in <xref ref-type="fig" rid="F3">Figure&#x20;3E</xref>, there are two pathways for the isolated COTh molecule to stabilize the anti-aromaticity state at S<sub>1</sub>, go-up and go-down to reach the minimum energy structures (MES) corresponding to the non-radiative decay of exciton, resulting in the quenched emission. However, crystal densely packing effectively restricts the molecular deformation process and essentially enhances its emission (<xref ref-type="fig" rid="F3">Figure&#x20;3F</xref>).</p>
</sec>
<sec id="s2-3">
<title>Organic Aggregates of NBN-Doped Polycyclic Aromatic Hydrocarbons</title>
<p>Replacement of the C&#x3d;C unit with its isoelectronic B&#x2013;N unit can effectively alter the optoelectronic performances of polycyclic aromatic hydrocarbons (PAHs). NBN-5 and NBN-6 (<xref ref-type="scheme" rid="sch1">Scheme 1</xref>) are two representative NBN-doped PAHs; NBN-6 is AIE-active, and NBN-5 could emit fluorescence in both solution and solid states (<xref ref-type="bibr" rid="B63">Wan et&#x20;al., 2018</xref>). The photophysical properties of both compounds at different environments (including the dilute solution, amorphous aggregate, and crystal) were systematically explored by combining MD simulations and the thermal vibration correlation function&#x2013;coupled QM/MM models (<xref ref-type="bibr" rid="B72">Zeng et&#x20;al., 2021</xref>). The embedded and exposed QM/MM models were setup respectively (as discussed above) to consider the different molecular packing in amorphous aggregates. It is found that, upon excitation, the dihedral angle D<sub>1</sub> between rings A and B of NBN-6 exhibits significant changes in both solution (27.0&#xb0;) and exposed (16.0&#xb0;) states, which are much larger than those of the embedded (about 5.1&#xb0;) and crystalline (3.9&#xb0;) state; in the meanwhile, the conjugation and planarity of NBN-6 at S<sub>0</sub> are obviously improved after aggregation. Therefore, the rotation of ring A in NBN-6 can be effectively restricted in the aggregated state, leading to fluorescence enhancement. By contrast, the structural modifications of NBN-5 are pretty slight, with the largest structural change of D<sub>1</sub> 5.7&#xb0; in solution (much smaller than that of NBN-6). Furthermore, the configurations of NBN-5 are insensitive to environments, keeping rigid and planar structures in all cases. It is clear to see that NBN-6 has intramolecular charge transfer (ICT) property; the highest occupied molecular orbital (HOMO) is located on ring B and naphthalene moiety, while the lowest unoccupied molecular orbital (LUMO) is distributed on rings A and B (<xref ref-type="fig" rid="F4">Figure&#x20;4A</xref>). In contrast, both the HOMO and LUMO of NBN-5 are delocalized on the whole backbone (<xref ref-type="fig" rid="F4">Figure&#x20;4B</xref>). The ICT property of NBN-6 leads to their relatively lower energy gap and redder fluorescence emission at all environments than those of NBN-5. AIEgens with ICT properties are quite sensitive to the environments (<xref ref-type="bibr" rid="B73">Zhang et&#x20;al., 2020</xref>); the FQE of NBN-6 is highly environment-dependent, with <italic>k</italic>
<sub>ic</sub> decreasing by 2&#x2013;4 orders of magnitude after aggregation; thus NBN-6 is AIE-active (<xref ref-type="fig" rid="F4">Figure&#x20;4C</xref>). Meanwhile, the FQE of NBN-5 is environment-independent, showing bright emission in both solution and solid states (<xref ref-type="fig" rid="F4">Figure&#x20;4D</xref>). Normal mode analysis of NBN-6 at different environments indicates that the suppression of the out-of-plane rotation and distortion of ring A after aggregation is the primary reason for the AIE effect.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Electron density contours of HOMO and LUMO of <bold>(A)</bold> NBN-6 and <bold>(B)</bold> NBN-5 at S<sub>0</sub> geometry in methanol solution. The FQE of <bold>(C)</bold> NBN-6 and <bold>(D)</bold> NBN-5 at different environments. (Reproduced with permission from (<xref ref-type="bibr" rid="B72">Zeng et&#x20;al., 2021</xref>) Copyright 2021 The Royal Society of Chemistry).</p>
</caption>
<graphic xlink:href="fchem-09-808957-g004.tif"/>
</fig>
</sec>
<sec id="s2-4">
<title>Organic Aggregates Involving Supramolecular Host Molecules</title>
<p>Experimentally, a supramolecular host with a specific cavity can encapsulate proper-size AIEgens and form host&#x2013;guest complexes, emitting fluorescence in the dispersed monomer (<xref ref-type="bibr" rid="B25">Liang et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B54">Song et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B26">Liang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B28">Liow et&#x20;al., 2017</xref>). However, the detailed structure&#x2013;property relationship that determines the host&#x2013;guest interaction&#x2013;induced emission enhancement phenomenon remains elusive. A typical host molecule CD and a TPE derivative (G-3, <xref ref-type="scheme" rid="sch1">Scheme 1</xref>) were taken as examples to study the influence of host&#x2013;guest interactions on the photophysical properties of AIEgens by multiscale modeling protocol (<xref ref-type="bibr" rid="B70">Yang et&#x20;al., 2021</xref>). MD simulations confirm that the host&#x2013;guest inclusion complex 2CD/G-3(D) was formed by several cooperatively interplayed non-covalent interactions. On the one hand, the interior hydrophobic cavity of CD hosts one phenyl ring of the TPE moiety and partial PEG chain of the guest by the hydrophobic interaction. On the other hand, the exterior hydrophilic surfaces of CD fasten the PEG chain and adjacent phenyl rings of the TPE moiety of the guest by the intermolecular hydrogen bond and O-H<sup>&#x2026;</sup>&#x3c0; interactions, respectively. Importantly, three representative aggregates: G-3 aggregate, G-3 aggregate with 2CD, and 2CD/G-3(D) aggregate were also simulated by MD simulations to consider the aggregation effect. The QM/MM models for all three kinds of aggregates were setup accordingly to further obtain the photophysical properties (<xref ref-type="fig" rid="F5">Figures 5A&#x2013;C</xref>). The <italic>k</italic>
<sub>r</sub> and <italic>&#x3bb;</italic> are calculated and summarized in <xref ref-type="fig" rid="F5">Figure&#x20;5D</xref>, where <italic>&#x3bb;</italic> measures the extent of intramolecular electron&#x2013;vibration coupling; the decrease in <italic>&#x3bb;</italic> implies the sharp reduction of <italic>k</italic>
<sub>ic</sub>. Introducing host&#x2013;guest interaction, the fluorescent emission of the single inclusion complex 2CD/G-3(D) obviously increases relative to G-3 because of the slightly increased <italic>k</italic>
<sub>r</sub> and the sharply decreased <italic>&#x3bb;</italic>. It is suggested that the host&#x2013;guest interactions are responsible for hindering the non-radiative decay channel of the excited state energy of G-3. Upon aggregation, <italic>k</italic>
<sub>r</sub> of the G-3 aggregate and G-3 aggregate with 2CD are sharply boosted; at the same time, the corresponding <italic>&#x3bb;</italic> is decreased, which is beneficial to the enhanced emission of aggregates. However, further increasing the concentration of CD is not conducive to luminescence because the high concentration of CD causes the disassembling of the 2CD/G-3(D) aggregate and the decrease of packing density; thus, the non-radiative decay channel is unblocked again. Therefore, the aggregation effect coupled with host&#x2013;guest interactions in the G-3 aggregate with the 2CD system could significantly restrict the low-frequency rotational motions of phenyl rings and the C&#x3d;C double bond twisting of the TPE moiety effectively; therefore the non-radiative decay channels of excited state energy in amphiphilic AIEgens are effectively blocked and finally enhances the fluorescent intensity.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A&#x2013;C)</bold> The QM/MM models for the G-3 aggregate, G-3 aggregate with 2CD, and 2CD/G-3D aggregate, respectively. To be shown more clearly, we take &#x201c;aggregate&#x201d; as the abbreviation &#x201c;aggr.&#x201d; here. <bold>(D)</bold> The calculated <italic>k</italic>
<sub>r</sub> and <italic>&#x3bb;</italic> of two monomers and three aggregates, respectively. (Reproduced with permission from <xref ref-type="bibr" rid="B70">Yang et&#x20;al. (2021)</xref>; Copyright 2021 The Royal Society of Chemistry).</p>
</caption>
<graphic xlink:href="fchem-09-808957-g005.tif"/>
</fig>
</sec>
<sec id="s2-5">
<title>Organic Aggregates Involving Co-Crystallized Solvent Molecules</title>
<p>The luminescent properties of organic molecules are highly morphology-dependent (<xref ref-type="bibr" rid="B32">Ma et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B56">Taylor and Wood, 2019</xref>; <xref ref-type="bibr" rid="B12">Fu et&#x20;al., 2021</xref>). 4,4&#x2032;-bis(9H-carbazol-9-yl)-methanone (Cz2BP, <xref ref-type="scheme" rid="sch1">Scheme 1</xref>) was observed to emit room-temperature phosphorescence in a cocrystal consisting of chloroform but not in the amorphous nor the crystal phase (<xref ref-type="bibr" rid="B24">Li et&#x20;al., 2015</xref>). The impact of the intermolecular hydrogen bond interactions on luminescent properties of Cz2BP was quantitatively investigated by the thermal vibration correlation function&#x2013;coupled QM/MM calculations (<xref ref-type="bibr" rid="B33">Ma et&#x20;al., 2019</xref>). It is found that compared with amorphous aggregate and crystal, the strong intermolecular hydrogen bond (C&#x3d;O<sup>&#x2026;</sup>H&#x2212;C) between Cz2BP and chloroform in cocrystal makes the densest molecular packing and effectively decouple the vibronic effect. For the T<sub>1</sub> state, responsible for phosphorescence, its relative compositions of (n, &#x3c0;&#x2a;) and (&#x3c0;, &#x3c0;&#x2a;) and the spin-orbital coupling coefficients (<italic>&#x3be;</italic>) strongly depend on the aggregation. From amorphous to crystal to cocrystal, the <italic>&#x3be;</italic>(T<sub>1</sub>&#x2192;S<sub>0</sub>) decreases from 17.22, 9.57 to 5.52&#x20;cm<sup>&#x2212;1</sup>, while the corresponding (&#x3c0;, &#x3c0;&#x2a;) components of the T<sub>1</sub> state are 59.8, 88.6, and 94.6%, respectively (<xref ref-type="fig" rid="F6">Figure&#x20;6A</xref>). The electron&#x2013;vibration coupling analysis (<xref ref-type="fig" rid="F6">Figure&#x20;6B</xref>) indicates that the &#x3bb; is dominated by high-frequency modes, including the stretching vibration of the C&#x3d;O bond and the breathing vibration of benzene and carbazole units. In particular, the C&#x3d;O stretching vibration (&#x3c9;) is drastically reduced from 1,888.46 to 717.24 to 186.67&#xa0;cm<sup>&#x2212;1</sup> from amorphous to crystal to cocrystal, and the corresponding normal-mode displacement &#x394;Q is also regularly shortened, consecutively (<xref ref-type="fig" rid="F6">Figure&#x20;6C</xref>). The quantum efficiency (<italic>&#x424;</italic>
<sub>P</sub>) of RTP is quantitatively analyzed by the equation <italic>&#x424;</italic>
<sub>P</sub> &#x2248; <italic>k</italic>
<sub>p</sub>/(<italic>k</italic>
<sub>p</sub> &#x2b; <italic>k</italic>
<sub>nr</sub>); the results indicate that the calculated <italic>k</italic>
<sub>p</sub> of T<sub>1</sub>&#x2192;S<sub>0</sub> decreases about one order of magnitude in cocrystal, more importantly, <italic>k</italic>
<sub>nr</sub> of T<sub>1</sub>&#x2192;S<sub>0</sub> is largely reduced by 3&#x2212;6 orders of magnitude from 1.87 &#xd7; 10<sup>6</sup> to 5.51 &#xd7; 10<sup>3</sup>&#xa0;s<sup>&#x2212;1</sup> to 6.03&#xa0;s<sup>&#x2212;1</sup>, leading to an efficient <italic>&#x424;</italic>
<sub>P</sub> (20.76%) in cocrystal relative to the extremely low <italic>&#x424;</italic>
<sub>P</sub> in the amorphous and crystal, and finally inducing a bright and long-lived RTP (<xref ref-type="fig" rid="F6">Figure&#x20;6D</xref>). Therefore, both the decreased <italic>&#x3be;</italic>(T<sub>1</sub>, S<sub>0</sub>) and the decreased <italic>&#x3bb;</italic> of the C&#x3d;O stretching vibration contribute to the sharply decreased <italic>k</italic>
<sub>nr</sub>, but the decoupling of the electron vibration from C&#x3d;O plays the primary role in decreasing of&#x20;<italic>k</italic>
<sub>nr</sub>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A,B)</bold> Calculated spin-orbital coupling coefficients (<italic>&#x3be;</italic>) and reorganization energies of low-lying excited states in amorphous, crystal, and cocrystal phases of Cz2BP. <bold>(C)</bold> Illustration of the vibronic decoupling effect of the electron and C&#x3d;O stretching vibration. <bold>(D)</bold> Calculated key parameters (<italic>k</italic>
<sub>p</sub>, <italic>k</italic>
<sub>nr</sub>, <italic>&#x424;</italic>
<sub>p</sub> and &#x3c4;<sub>p</sub>) of the exciton energy decay process in amorphous, crystal, and cocrystal. (Reproduced with permission from <xref ref-type="bibr" rid="B33">Ma et&#x20;al. (2019)</xref>; Copyright 2019 American Chemical Society).</p>
</caption>
<graphic xlink:href="fchem-09-808957-g006.tif"/>
</fig>
</sec>
<sec id="s2-6">
<title>Organic Aggregates Doping Trace Amounts of Host Molecules</title>
<p>Although a variety of doped organic systems with room temperature phosphorescence have been reported (<xref ref-type="bibr" rid="B3">Chen et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B37">Ning et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B69">Yan et&#x20;al., 2021</xref>), the specific configuration and molecular packing of the guest molecules in the host matrix are still unknown. For example, we recently found that pure TPA crystalline powder only exhibits weak fluorescence, while the doping TPA matrix with no more than 0.1% guest molecule (MADBA, <xref ref-type="scheme" rid="sch1">Scheme 1</xref>) simultaneously shows strong fluorescence, thermally activated delayed fluorescence, and efficient room temperature phosphorescence (<xref ref-type="bibr" rid="B22">Lei et&#x20;al., 2021</xref>). We further setup a MADBA/TPA doping model with the molar ratio of 1: 190 by replacing two TPA molecules with a single large-sized MADBA molecule (<xref ref-type="fig" rid="F7">Figure&#x20;7A</xref>). Then, MD simulations were performed to simulate the doped configurations and spatial molecular packing of the guest molecule in the host TPA matrix. To the best of our knowledge, this is the first use of MD simulations to study doped materials. The QM/MM model was further setup based on the equilibrated MD conformation of the doped system to study the photophysical properties. Since the larger volume of MADBA than that of the TPA molecule, the intermolecular distances between MADBA and surrounding TPA molecules are reduced with the intermolecular C&#x2013;H<sup>&#x2026;</sup>&#x3c0; interactions enhanced, indicating a more rigid environment of MADBA in the doping system. After doping, the structural changes of MADBA from S<sub>0</sub> to T<sub>1</sub> in the doped state become smaller than those in the solution state. In addition, it is found that the energy gap (&#x394;E<sub>ST</sub>) between S<sub>1</sub> and T<sub>1</sub> of MADBA is 0.98&#xa0;eV, which is not facilitating the intersystem crossing (ISC) process (<xref ref-type="fig" rid="F7">Figure&#x20;7B</xref>). The host TPA with a similar molecular structure shows higher T<sub>1</sub> energy (2.80&#xa0;eV) than MADBA; therefore, the T<sub>1</sub> of TPA could act as a bridge to narrow the &#x394;E<sub>ST</sub> from 0.98 to 0.31&#xa0;eV to facilitate the ISC process of MADBA, namely, the intermediate T<sub>1</sub> of TPA is beneficial for the energy transfer from the T<sub>1</sub> of the host TPA to guest MADBA. Compared to pure MADBA crystal, the smaller &#x394;E<sub>ST</sub> and larger <italic>&#x3be;</italic> between S<sub>1</sub> and low-lying triplet states also support the easier ISC process in the doped MADBA/TPA system than that in the pure MADBA crystal (<xref ref-type="fig" rid="F7">Figure&#x20;7C</xref>). Therefore, matching the energy levels between host and guest molecules could effectively bridge the energy transfer process of the low-lying triplet states and facilitate the ISC process, which will make room temperature phosphorescence more efficient in the doping system (<xref ref-type="fig" rid="F7">Figure&#x20;7D</xref>). Therefore, doping trace amounts of MADBA is beneficial to promote ISC of excitons, thereby leading to phosphorescence emission in the host matrix.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Model setup of the doped system. <bold>(B)</bold> The energy levels of the host TPA and guest MADBA. <bold>(C)</bold> The calculated energy level diagram, spin-orbit couplings (<italic>&#x3be;</italic>), and the oscillator strengths for MADBA crystal and the doped system. <bold>(D)</bold> Proposed transfer pathway between the guest and host after doping. (Reproduced with permission from <xref ref-type="bibr" rid="B22">Lei et&#x20;al. (2021)</xref> Copyright 2021 The Royal Society of Chemistry).</p>
</caption>
<graphic xlink:href="fchem-09-808957-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s3">
<title>Conclusion and Outlook</title>
<p>In this review, we summarize recent works on studying the structure&#x2013;property relationships of organic aggregates at different aggregated states using multiscale modeling protocol, combining the molecular dynamics (MD) simulations and quantum mechanics/molecular mechanics (QM/MM) calculations. We conclude that 1) the FQE of a nano-sized aggregate is size-independent, and the embedded molecules dominate the fluorescent intensity of amorphous aggregates; there exists a linear relationship between the fluorescent intensity and aggregate size; 2) the dense molecular packing of non-typical AIEgens (annulene-based eight-member ring COTh) at the crystalline state can effectively suppress the aromatic reversal process and block the non-radiative decay channels, leading to the fluorescent emission in the crystal; 3) for the supramolecular host&#x2013;guest complex, the aggregation effect coupled with non-covalent interaction&#x2013;induced host&#x2013;guest interactions can significantly retard the non-radiative decay channels of excited state energy and make the supramolecular host&#x2013;guest complex emit light at both monomer and aggregated states; 4) host and guest molecules could effectively bridge the energy transfer process of the low-lying triplet states and facilitate the ISC process, thereby leading to phosphorescence emission. It is obvious that the multiscale modeling approach combining MD simulations and QM/MM calculations is applicable to simulate the structure&#x2013;property relationship of complex systems in experiments and provide a direct explanation for the complex experimental phenomenon.</p>
<p>It is still a great challenge for simulating the conformations and photophysical properties of organic aggregates at various biological environments (such as the lipid membrane, lipid droplet, mitochondria, and so on) and providing a useful clue in the rational design of organic luminescent materials for bio-imaging and multi-modality theranostics. The influence of various external forces (shear, grinding, or hydrostatic pressure) on the photophysical properties of organic aggregates is still rarely investigated. In addition, the electron&#x2013;density change in MM polarization of the QM/MM model also needs to be considered. And, only considering one QM molecule sometimes is not enough for systems with charge transfer or exciton interactions. Therefore, there is still a longstanding challenge for us, and we are actively addressing&#x20;them.</p>
</sec>
</body>
<back>
<sec id="s4">
<title>Author Contributions</title>
<p>XZ designed this proposal, revised the manuscript, and determined the contents. JZ drew the chemical structures and prepared the figures. All authors contributed to the writing of the manuscript.</p>
</sec>
<sec id="s5">
<title>Funding</title>
<p>We thank the financial support of the National Natural Science Foundation of China (Grants 22173006), Beijing Natural Science Foundation (Grant 2222027), the Open Fund of Guangdong Provincial Key Laboratory of Luminescence from Molecular Aggregates (South China University of Technology, 2019B030301003), and the General Project of Chinese Academic Degrees and Graduate Education Society, grant number: 2020MSA431.</p>
</sec>
<sec sec-type="COI-statement" id="s6">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
<p>The reviewer XC declared a past co-authorship with one of the authors XZ to the handling editor.</p>
</sec>
<sec sec-type="disclaimer" id="s7">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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