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Synthesis and Structural Studies of Two New Anthracene Derivatives

Synthesis and Structural Studies of Two New Anthracene Derivatives

Article Synthesis and Structural Studies of Two New Derivatives

Rogério F. Costa 1,* , Marilene S. Oliveira 2,3,* , Antônio S. N. Aguiar 2, Jean M. F. Custodio 2 , Paolo Di Mascio 4 , José R. Sabino 5 , Giuliana V. Verde 2, João Carlos Perbone de Souza 3 , Lauriane G. Santin 6, Ademir J. Camargo 2, Inaya C. Barbosa 1, Solemar S. Oliveira 2 and Hamilton B. Napolitano 2,6

1 Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia Nuclear da, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-594, RJ, Brazil; [email protected] 2 Ciências Exatas e Tecnológicas Henrique Santillo, Universidade Estadual de Goiás, Anápolis 75001-970, GO, Brazil; [email protected] (A.S.N.A.); [email protected] (J.M.F.C.); [email protected] (G.V.V.); [email protected] (A.J.C.); [email protected] (S.S.O.); [email protected] (H.B.N.) 3 Departamento de Agroquímica, Instituto Federal de Educação, Ciência e Tecnologia Goiano, Rio Verde 75901-970, GO, Brazil; [email protected] 4 Departamento de Bioquímica, Instituto de Química, Universidade de São Paulo, São Paulo 05513-970, SP, Brazil; [email protected] 5 Instituto de Física, Universidade Federal de Goiás, Goiânia 74690-900, GO, Brazil; [email protected] 6 Laboratório de Novos de Materiais, Universidade Evangélica de Goiás, Anápolis 75083-515, GO, Brazil;  [email protected]  * Correspondence: [email protected] (R.F.C.); [email protected] (M.S.O.) Citation: Costa, R.F.; Oliveira, M.S.; Aguiar, A.S.N.; Custodio, J.M.F.; Abstract: Anthracene derivatives are an interesting class of compounds and modifications in the Di Mascio, P.; Sabino, J.R.; Verde, G.V.; anthracene ring, producing different compounds with different properties. Structural analysis of Souza, J.C.P.d.; Santin, L.G.; anthracene derivatives with modifications in position 9,10 of the aromatic ring is necessary in or- Camargo, A.J.; et al. Synthesis and der to obtain information about its properties. The introduction of groups with polar substituents Structural Studies of Two New increases the possibility to modify the lipophilicity, corroborating its use as bioimaging Anthracene Derivatives. Crystals 2021, probes. Anthracene derivatives are used in many biochemical applications. These compounds can 11 , 934. https://doi.org/10.3390/ 1 react with molecular singlet [O2 ( ∆g)], a reactive oxygen species, through the Diels–Alder cryst11080934 reaction [4 + 2] to form the respective endoperoxide and to be used as a chemical trap in biological

Academic Editors: Antonio Bauzá systems. Thus, the structural and crystalline characterizations of two anthracene derivatives are and Antonio Frontera presented in this work to obtain information about their physical-chemical properties. The com- pounds were characterized by Fourier-transform infrared , thermogravimetric analyses Received: 14 July 2021 and scanning electron microscopy. The molecular structures of the compounds were studied by Accepted: 4 August 2021 the Density Functional Theory, M06-2X/6-311++G(d,p) level of theory in the gas phase. From the Published: 12 August 2021 results obtained for the frontier molecular orbitals, HOMO and LUMO, and from the Molecular Electrostatic Potential map, it was possible to predict the chemical properties of both compounds. Publisher’s Note: MDPI stays neutral The supramolecular arrangements were also theoretically studied, whose were kept fixed with regard to jurisdictional claims in in their crystallographic positions, through the natural bonding orbitals analysis to check the stability published maps and institutional affil- of interactions and the quantum theory of in molecules to verify the type of intermolecular iations. interaction between their molecules, as well as how they occur.

Keywords: anthracene derivatives; structural characterization; fluorescence; singlet molecular oxygen Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and 1. Introduction conditions of the Creative Commons Attribution (CC BY) license (https:// Anthracene and its derivatives are an important class of compounds and have been creativecommons.org/licenses/by/ extensively investigated in different areas. Some anthracene derivatives exhibit interesting 4.0/). properties in the materials science area, which are involved in the composition of electronic

Crystals 2021, 11, 934. https://doi.org/10.3390/cryst11080934 https://www.mdpi.com/journal/crystals Crystals 2021, 11, x FOR PEER REVIEW 2 of 21

Crystals 2021, 11, 934 2 of 20

of electronic and photonic devices. Bimolecular photochemical reactions of and photonic devices. Bimolecular photochemical reactions of anthracenes are of special are of special interest, especially because it also possesses photochromic properties. These interest, especially because it also possesses photochromic properties. These properties are properties are based on the photodimerization reaction and can be used in the design of based on the photodimerization reaction and can be used in the design of optical, electronic, optical, electronic, or magnetic switches incorporated in mesophases, polymers, films, or or magnetic switches incorporated in mesophases, polymers, films, or crystals [1–4]. An- crystals [1–4]. Anthracene derivatives have also been widely used in many biochemical thracene derivatives have also been widely used in many biochemical applications because applications because of their fluorescent properties and their ability to react with singlet of their fluorescent properties and their ability to react with singlet molecular oxygen [O2 molecular oxygen [O2 (1Δg)]—a reactive oxygen species (ROS) capable of causing damage (1∆ )]—a reactive oxygen species (ROS) capable of causing damage in DNA biomolecules, in gDNA biomolecules, proteins, and lipids. Anthracene derivatives show higher proteins, and lipids. Anthracene derivatives show higher fluorescence quantum yield fluorescence quantum yield according to modifications at the 9,10 ring positions. The according to modifications at the 9,10 ring positions. The change in substituents may also change in substituents may also provide compounds with lipophilic properties, which can provide compounds with lipophilic properties, which can be used as probes in biological be used as probes in biological systems. This ability to alter the structure of anthracene systems. This ability to alter the structure of anthracene can provide different molecules can provide different molecules especially for use in bioimaging1 and chemical uptake of especially for use in bioimaging and chemical uptake of O2 ( ∆g), forming an endoperoxide 1 viaO2 ( theΔg), Diels–Alder forming an [4 endoperoxide + 2] reaction [via5–11 the]. Diels–Alder [4 + 2] reaction [5–11]. Anthracene alone does not react with O2 (11Δg), and the direct binding of electron- Anthracene alone does not react with O2 ( ∆g), and the direct binding of electron- attractiveattractive groups to the the aromatic aromatic ring ring would would decrease decrease its its reactivity. reactivity. Thus, Thus, at atleast least one one or, or,preferably, preferably, two two donor donor groups groups of ofelectrons electrons must must be bepresent present at atthe the 9,10 9,10 ring ring positions positions to toallow allow cycloaddition cycloaddition [4 [4+ 2] + 2]and and stabilize stabilize the the endoperoxide. endoperoxide. Thus, Thus, the the methyl methyl groups groups of of9,10-dimethylanthracene 9,10-dimethylanthracene or orbromo bromo in in the the 9,10-dibromoanthracene 9,10-dibromoanthracene provide aa suitablesuitable positionposition for substituent entry, entry, since since the the alky alkyll chain chain enables enables a good a good separation separation between between the thehydrophilic hydrophilic group and andthe anthracene the anthracene ring ring[5–11]. [5– In11 ].addition, In addition, the modifications the modifications in the in9,10 the positions 9,10 positions of the ring of the give ring molecules give molecules with different with different spectroscopic spectroscopic properties, properties, such as suchfluorescence as fluorescence intensity, intensity, solubility, solubility, reactivity reactivity and capacity and capacity to be used to bein usedbiological in biological systems systems[12]. [12]. TheThe synthesis of new compounds compounds with with less less time time and and steps steps to to be be used used in in biological biologi- calsystems systems has hasbeen been a challenge. a challenge. In recent In recent years, years, an anthracene an anthracene derivative—the derivative—the 3,3′-(9,10- 3,30- (9,10-anthracenediyl)anthracenediyl) bisacrylate bisacrylate (DADB) (DADB) with fl withuorescent fluorescent properties—was properties—was synthesized synthesized using usingthe Heck the reaction Heck reaction and shown and shown to be able to be to able cross to the cross plasma the plasma membrane. membrane. However, How- the ever,reduction the reductionof the double of the doublebonds of bonds DADB of DADBproduces produces a derivative, a derivative, the diethyl the diethyl 9,10- 9,10-anthracenedipropionateanthracenedipropionate (DEADP) (DEADP) (Figure (Figure 1),1 ),with with higher higher fluorescence fluorescence intensityintensity andand 11 6 6 betterbetter reactivity with O 2 ((Δ∆g),g), by by the the difference difference in in the the reactivity reactivity constant, constant, kt k(2.20t (2.20 × 10× 10and and2.65 2.65× 107× M10−1 7s−M1) −[13,14].1 s−1)[ 13,14].

O O O O

O O O O

DADB DEADP FigureFigure 1.1. Chemical structure ofof anthraceneanthracene derivativesderivatives diethyl-(2E,2diethyl-(2E,20E)-3,3′E)-3,30-(anthracene-9,10-′-(anthracene-9,10- diyl)di(prop-2-enoate)diyl)di(prop-2-enoate) (DADB)(DADB) andand diethyl-(2E,2diethyl-(2E,20E)-3,3′E)-3,30-(anthracene-9,10-diyl)di(prop-2-enoate)′-(anthracene-9,10-diyl)di(prop-2-enoate) (DEADP).(DEADP).

WithWith thatthat inin mind,mind, thethe studystudy ofof thethe propertiesproperties ofof anthraceneanthracene derivativesderivatives andand theirtheir crystallographiccrystallographic characterization characterization will will be be useful useful in understanding in understanding the characteristics the characteristics of these of 1 1 compoundsthese compounds and the and properties the properties to be used to as be an used O2 ( as∆g )an chemical O2 (Δg trap) chemical and in assistingtrap and the in developmentassisting the development of other compounds of other withcompounds modifications with modifications in the anthracene in the ringanthracene to be used ring into biologicalbe used in systems. biological Thus, systems. this workThus, aims this towork analyze aims theto analyze structure the of structure two anthracene of two

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derivatives with ideal characteristics for use as a fluorescent probe related to its reactivity 1 toward O2 ( ∆g) in biological systems.

2. Experimental and Computational Procedures 2.1. Synthesis and Spectroscopic Analysis Anthracene derivatives diethyl-(2E,20E)-3,30-(anthracene-9,10-diyl)di(prop-2-enoate) (DADB) and diethyl-(2E,20E)-3,30-(anthracene-9,10-diyl)di(prop-2-enoate) (DEADP) were synthesized by the methodology presented by Oliveira et al. [13,14]. Spectroscopic analysis by Fourier-Transform Infrared (FTIR). (PerkinElmer, Anápolis, GO, Brazil) was carried out in a Frontier Perkin Elmer equipment in the region of 400–4000 cm−1, recording by 14 scans of accumulations using KBr pellets (PerkinElmer, Anápolis, GO, Brazil).

2.2. Thermogravimetric Analysis A termogravimetric analysis (TGA/DTG) of Pyris 1 Perkin Elmer (PerkinElmer, Anápolis, GO, Brazil) was used to obtain TGA curves. Sample masses were of 5.672 mg to DADB and 4.567 mg to DEADP, with a heating rate of 10 ◦C/min, a flow rate of 20 mL/min was used in a nitrogen atmosphere with a heating range of 30 to 500 ◦C.

2.3. Scanning Electronic Microscopy The DADB and DEADP crystals were analyzed by a Hitachi TM3030Plus Tabletop Microscope (Hitachi, Anápolis, GO, Brazil) attached to a carbon surface.

2.4. X-ray Single crystals of DADB and DEADP, suitable for X-ray study, were obtained by slow evaporation of a solution of hot methanol at room temperature 295(2) K. DADB and DEADP data collection was performed using the Kappa Apex II Duo diffractometer (Bruker-AXS, Goiânia, GO, Brazil) operating with Cu-Kα. Structure solutions were obtained using Direct Methods implemented in SHELXS [15] and the final refinement was performed with full least-squares on F2 using SHELXL [15]. The programs ORTEP-3 [16], SHELXS/SHELXL [15] were used within WinGX [16] software package. All hydrogen atoms were placed in calculated positions and refined with fixed individual displacement parameters [Uiso(H) = 1.2 or 1.5 Ueq] following the rinding model (C–H bond lengths of 0.97 and 0.96 Å for aromatic and methyl groups, respectively). Geometric parameters of DADB and DEADP were validated and studied through Mercury [17] and Platon [18] softwares. Crystallographic information files for DADB and DEADP were deposited in the Cambridge Structural Database [19] under codes 2098280 and 2098281, respectively. Copies of data can be obtained free of charge at www.ccdc.cam.ac.uk (accessed on 3 August 2021).

2.5. Hirshfeld Surface Analysis The supramolecular arrangements of DADB and DEADP were analyzed by Hirshfeld surface (HS). First, the intensity of the weaker C–H ··· O was studied through distance function dnorm available on Explorer software [20]. This function combines di (distance from an inner molecule to the surface) and de (distance from an outer molecule to the surface) contacts in a unique surface by normalizing them in the function of Van der Waals radii following Equation [21]:

 vdW   vdW  di − ri de − re d = + norm vdW vdW (1) ri re

vdW vdW where ri and re are the van der Waals radii. The shape index surface was used to study the π ··· π interactions involved in the crystal packings of both compounds. This function is based on concave or convex curvature observed in the molecule and indicates the places of interactions. Finally, di and de contacts were plotted in a 2D graph named fingerprints to quantify the percentage of each interaction. Crystals 2021, 11, 934 4 of 20

2.6. Molecular Modeling Analysis Density Functional Theory (DFT)—formulated initially in 1964 by Pierre Hohenberg, Walter Kohn and Lu Jeu Sham [22,23]—is among the most important methods used in the quantitative description of the properties of molecular systems. Modern implementations for DFT calculations offer the advantage of low computational cost and precision in the results of properties of molecular systems. Thus, in order to understand a little more about the molecular structures of DADB and DEADP, calculations were carried out at M06- 2X/6-311G++(d,p) level of theory, in gas phase, implemented in the Gaussian09 software package [24]. The generated inputs were obtained from X-ray diffraction data. Frontier molecular orbitals (FMO), where HOMO (highest occupied ) and LUMO (lower unoccupied molecular orbital) are the most important, were obtained to describe molecular electronic structure, the stability and the reactivity in the compounds studied in this paper [25]. DFT methods provide a good theoretical basis for qualitative interpretation of molecular orbitals. The molecular electrostatic potentials were calculated by potentials V(r) at point r in space: N Z Z ρ(r0) V(r) = ∑ α − dr0, (2) α |rα − r| |r0 − r| and the molecular electrostatic potentials (MEP) maps were obtained. In Equation (2), the Zα variable is the charge on nuclei α at point rα and ρ(r0) is the charge density at point r0 [26]. The first term represents the electrostatic potential created by the nucleus and the second term is created by the electrons as a function of the electronic density [27]. Electronic isodensity surfaces are applied in several areas of theoretical , playing an important role in understanding the intermolecular interactions of compounds, molec- ular properties, reactivity, crystalline packaging, solvation, drug action and its chemical analogues, and so on. The supramolecular arrangements in the crystals of DADB and DEADP compounds were theoretically studied in this paper aiming to understand the intermolecular inter- actions qualitatively and quantitatively. In this case, the molecular arrangements were constructed so that the atoms were kept fixed in their crystallographic positions. The complexation energies were analyzed at the level of theory DFT/M06-2X/6-311++G(d,p) and corrected by counterpoise theory [28], so that each of the interactions observed ex- perimentally by diffraction X-ray were quantified. The heavy atoms of both compounds were kept fixed in their crystallographic positions, while the hydrogens remained free throughout the calculations. With the same level of theory, natural bonding orbitals (NBO) calculations [29,30] were carried out to check the stability of the interactions, through the measure of the intermolecular hyperconjugation between donor orbitals (Lewis type) and acceptor orbitals (non-Lewis type) estimated by the perturbation formula second order, D E ∗ 2 2 σi Fˆ σ F 2 j ij Ei→j∗ = −nσ = −nσ , (3) εj∗ − εi εj∗ − εi

2 2 where hσ|F|σi or Fij is the Fock matrix element between the i and j natural bond orbitals. ∗ εσ∗ is the energy of the antibonding orbital σ and εσ is the energy of the bonding orbitals σ. nσ stands for the population occupation of the σ donor orbital. Through analysis in the Quantum Theory of Atoms in Molecules (QTAIM), it was possible to determine the type of interaction present according to the critical points obtained by the topological properties of both crystal systems [31].

3. Results and Discussion 3.1. Spectroscopy Analysis The DADB derivatives were synthesized by C–C coupling Heck reaction following the procedure described by Oliveira et al. [13,14]. In terms of this mechanism, it is important Crystals 2021, 11, x FOR PEER REVIEW 5 of 21

3. Results and Discussion 3.1. Spectroscopy Analysis The DADB derivatives were synthesized by C–C coupling Heck reaction following the procedure described by Oliveira et al. [13,14]. In terms of this mechanism, it is important to mention that the preference of structural form obtained is the trans-trans DADB. In the second step of synthesis, DEADP is obtained by reduction of double bounds, using KCOOH in the presence of catalyzed Pd. These compounds present different spectroscopy properties. The modifications in the substituent of the ring are of

Crystals 2021, 11, 934 fundamental importance in obtaining derivatives with better properties to5 of be 20 used in biological systems. As related by Oliveira et al. [13,14], the absorption and emission spectra of DEADP, to mention that the preference of structural form obtained is the trans-trans DADB. In gives thethree second well-defined step of synthesis, absorption DEADP bands is obtained at 356, by 375 reduction and 396 of double nm, and bounds, emission using bands at 400, 424KCOOH and in449 the nm, presence whereas of catalyzed DADB Pd. has These a compoundsbroad band present of absorption different spectroscopy and fluorescence spectra,properties. due to the The presence modifications of the in the double substituent bond ofs the at ringthe 9,10 are of position fundamental of the importance anthracene ring producingin obtaining an electron derivatives delocalization with better properties in the structure, to be used inwith biological a maximum systems. absorption at 260 As related by Oliveira et al. [13,14], the absorption and emission spectra of DEADP, and 405 nm and a maximum fluorescence emission at 525 nm with excitation at 405 nm in gives three well-defined absorption bands at 356, 375 and 396 nm, and emission bands acetonitrile.at 400, 424The and quantum 449 nm, whereas yield DADBof fluoresc has a broadence band at ofroom absorption temperature and fluorescence to DADB and −6 −1 DEADPspectra, compared due to the to presenceRhodamine of the B double (at a bondsconcentration at the 9,10 positionof 1 × 10 of the mol·L anthracene in MeCN; ring  = 400 nm,producing Φ = 0.65) an electronwas Φ = delocalization 0.230 ± 0.002 in theand structure, 0.352 ± with0.01 ain maximum MeCN, absorptionrespectively at 260 [13,14] Theand infrared 405 nm and spectrum a maximum of fluorescencethe DADB emission derivati atve 525 obtained nm with excitationis presented at 405 along nm in with the acetonitrile. The quantum yield of fluorescence at room temperature to DADB and DEADP spectrum of the DEADP derivative in Figure 2. The−6 spectrum−1 shows peaks in the region compared to Rhodamine B (at a concentration of 1 × 10 mol·L in MeCN; λex = 400 nm, of 2900–3000Φ = 0.65) cm was−1 Φreferring= 0.230 ± to0.002 the and C–H 0.352 and± 0.01C=C in groups MeCN, respectivelyand it is observed [13,14] the influence of double bondThe in infrared the intensity spectrum of of thesignals DADB in derivative this region, obtained the presence is presented of along the C=O with theat 1600 cm−1 and peaksspectrum in the of the1200 DEADP cm−1 derivativeregion characteristic in Figure2. The of spectrum the C–O shows group. peaks It inis theobserved region of the higher 2900–3000 cm−1 referring to the C–H and C=C groups and it is observed the influence of contributiondouble bond of signals in the intensity characterized of signals by in thisC–H region, in the the DEADP presence structure of the C=O in at 1600the range cm−1 of 1300– −1 1400 cmand. peaks in the 1200 cm−1 region characteristic of the C–O group. It is observed the higher contribution of signals characterized by C–H in the DEADP structure in the range of 1300–1400 cm−1.

1.0

0.8 %T 0.6

0.4

4000 3500 3000 2500 2000 1500 1000 500 cm-1 Figure 2. Infrared spectra of DADB (–) and DEADP (–). Figure 2. Infrared spectra of DADB (–) and DEADP (–). 3.2. Thermogravimetric Analysis Thermal stability of the derivatives was analyzed by thermogravimetry under nitrogen 3.2. Thermogravimetricatmosphere. Figure 3Analysis shows the TGA/DTG curves for the DADB and DEADP derivatives. ThermalThe curves stability show that of the the compounds derivatives are thermally was analyzed stable up toby 250 thermogravimetry◦C. For the DADB under nitrogenderivative, atmosphere. the curve Figure is well characterized3 shows the by TGA/DTG a mass loss ofcurves 80% defined for the by theDADB DTG withand DEADP maximum point of 350 ◦C (Figure3b). The DEADP derivative presents two mass losses derivatives. The curves show that the compounds are thermally stable up to 250 °C. For of 55 and 36%, characterized by the DTG with maximum points of 300 and 330 ◦C. This the DADBshows derivative, that the absence the ofcurve the double is well bond characte favorsrized the presence by a mass of two loss mass of losses80% defined in the by the DTG withstructure maximum of the DEADP, point by of the 350 change °C of(Figure the conjugation 3b). The in theDEADP molecule. derivative presents two mass losses of 55 and 36%, characterized by the DTG with maximum points of 300 and

Crystals 2021, 11, x FOR PEER REVIEW 6 of 21 Crystals 2021, 11, x FOR PEER REVIEW 6 of 21

330 °C. This shows that the absence of the double bond favors the presence of two mass Crystals 2021, 11, 934 330 °C. This shows that the absence of the double bond favors the presence of two mass 6 of 20 losses in the structure of the DEADP, by the change of the conjugation in the molecule. losses in the structure of the DEADP, by the change of the conjugation in the molecule.

(a) 100 (a) 100

80 80

60 60

40 40 Weigth (%) Weigth 20 (%) Weigth 20

0 0 0.0 (b) 0.0 (b) -0.5 -0.5 -1.0 -1.0 -1.5 -1.5 -2.0 -2.0

Derivative weigth (%/min) Derivative -2.5 0weigth (%/min) Derivative 100-2.5 200 300 400 500 600 700 0 100 200 300 400 500 600 700 Temperature (oC) o Temperature ( C)

FigureFigure 3. TGA 3. TGA(a) e DTG (a) e(b DTG) analysis (b) analysisof DADB of(–) DADBand DEADP (–) and (–) in DEADP N2 atmosphere (–) in Nat2 rateatmosphere heating at rate heating ◦ −1 of 10of °C 10 minC−1 min. Figure. 3. TGA (a) e DTG (b) analysis of DADB (–) and DEADP (–) in N2 atmosphere at rate heating of 10 °C min−1. 3.3.3.3. Scanning Scanning Electronic Electronic Microscopy Microscopy FigureFigure 4 shows3.3.4 shows Scanning the themicrograph Electronic micrograph imaging Microscopy imaging obtained obtained for DADB for DADB (Figure (Figure 4a,b) and4a,b) and DEADP DEADP(Figure (Figure4c,d) 4c,d) derivativesFigure derivatives 4 aftershows after recrystallization the recrystallization micrograph withwithimaging methanol.methanol. obtained A A variation variationfor DADB in in (Figure morphology 4a,b) and morphologyis observed is observedDEADP from one (Figurefrom derivative one 4c,d) derivative derivatives to another. to another. after In the recrystallizationIn DADB the DADB derivative, derivative, with themethanol. the crystal A formation variation in crystal formation shows well-defined fine needles, whereas in the DEADP derivative, the shows well-definedmorphology fine is observed needles, from whereas one derivative in the DEADP to another. derivative, In the DADB the formation derivative, of the formation of smallercrystal crystals formation occurs shows but is alsowell-defined defined. The fine micrographs needles, whereas show the in thecrystal DEADP derivative, the smaller crystals occurs but is also defined. The micrographs show the crystal formation of formation of theformation two compounds of smaller analyzed. crystals occurs but is also defined. The micrographs show the crystal the two compoundsformation analyzed.of the two compounds analyzed.

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(a) (b)

(c) (d)

Figure 4. MicrographiesFigure 4. Micrographies (SEM) of the crystals (SEM) ofafter the recrystallization crystals after recrystallization with methanol of with DADB methanol (a) 100× of and DADB (b) 300×, (a) 100 and× DEADP (c) 50× and (d) 300×. and (b) 300×, and DEADP (c) 50× and (d) 300×. 3.4. Solid State Studies DADB is an anthracene analogue in which two acrylate groups are para-bonded to aromatic ring B. This compound crystallized in the monoclinic and P21/c. Its unit cell measures a = 13.0556(3) Å, b = 4.03270(10) Å, c = 18.0384(4) Å and = 90.7920(10)°. Besides crystallographic , DADB has molecular symmetry as an inversion center i above the gravity center of aromatic ring B. An Ortep diagram showing the displacement with 50% probability level and numbering scheme of DADB is presented in Figure 5a. DEADP is the result of the addition to the acrylate group, presenting two sp3 carbons bound to ring B. DEADP crystallized in the centrosymmetric space group C2/c, with eight asymmetric units (AU) in the unit cell and half molecular unit per UA. The ORTEP representation of DEADP is shown in Figure 5b, as well as the numbering scheme used in the structural description. The refinement indicated that DEADP has a dynamic disorder in O1, O2, C11 and C12 atoms in which the dominant conformation corresponds to 85%. The main crystallographic data are tabulated in Table 1.

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3.4. Solid State Studies DADB is an anthracene analogue in which two acrylate groups are para-bonded to aromatic ring B. This compound crystallized in the monoclinic crystal system and space group P21/c. Its unit cell measures a = 13.0556(3) Å, b = 4.03270(10) Å, c = 18.0384(4) Å and β = 90.7920(10)◦. Besides crystallographic symmetry, DADB has molecular symmetry as an inversion center i above the gravity center of aromatic ring B. An Ortep diagram showing the atom displacement with 50% probability level and numbering scheme of DADB is presented in Figure5a. DEADP is the result of the addition to the acrylate group, presenting two sp3 carbons bound to ring B. DEADP crystallized in the centrosymmetric space group C2/c, with eight asymmetric units (AU) in the unit cell and half molecular unit per UA. The ORTEP representation of DEADP is shown in Figure5b, as well as the numbering scheme Crystals 2021, 11, x FOR PEER REVIEWused in the structural description. The refinement indicated that DEADP has a dynamic 8 of 21 disorder in O1,O2,C11 and C12 atoms in which the dominant conformation corresponds to 85%. The main crystallographic data are tabulated in Table1.

Figure 5.5.ORTEP ORTEP view view of of DADB DADB (a) and(a) and DEADP DEADP (b) with (b) atomwith displacementatom displacement ellipsoids ellipsoids drawn at drawn at 50% probabilityprobability level. level. Geometric parameters of DADB showed that it has a non-planar conformation by ana- Table 1. Crystal data and structure refinement for DADB and DEADP. ◦ lyzing the angle formed between the planes of acrylate and anthracene groups (ω1 = 48.72 ). On the other hand, the acrylate portions can be considered planar since the unique pla- Empirical Formula C24H22O4 (DADB) C24H26O4 (DEADP) narity deviation is a slight twist around the σ-bond C –C (ω = 12.09◦). A conformational Formula weight 9 374.4210 1 378.46 analysis was performed on two flexible dihedral angles C –C –C –O (carbonyl and olefin Temperature 296(2)8 K 9 10 1 298(2) K groups) and C –C –C –C (olefin and anthracene groups), indicating that carbonyl groups Wavelength 2 1 8 9 1.54178 Å 1.54178 Å adopt an anti-periplanar conformation regarding olefin moiety, while the last one has a Crystal system, space syn-clinal conformation regarding the anthraceneMonoclinic; group. P 21 Like/c DADB, the ethyl portion Monoclinic; of C 2/c group DEADP is nonplanar to the anthracene group (the angle formed between the planes, ω1, is 25.38◦). a = 13.0556(3) Å α = 90° a = 28.6843(10)Å α = 90° Unit cell dimensions b = 4.03270(10)Å β = 90.7920(10)° b = 4.9458(2) Å β = 113.062(2)° c = 18.0384(4) Å γ = 90° c = 15.8870(6) Å γ = 90° Volume 949.62(4) Å3 2073.71(14) Å3 Z, Density (calculated) 2; 1.309 Mg/m3 1.212 Mg/m3 Absorption coefficient, 0.714 mm−1; 396 0.654 mm−1; 808 F(000) Crystal size 0.071 × 0.138 × 0.372 mm3 0.470 × 0.202 × 0.144 mm3 Theta range for data 3.385 to 68.159°. 3.349 to 66.783°. collection Index ranges −15 ≤ h ≤ 15, −3 ≤ k ≤ 4, −21 ≤ l ≤ 21 −32 ≤ h ≤ 33. −5 ≤ k ≤ 3. −18 ≤ l ≤ 17 Reflections collected; 5976; 1686 [R(int) = 0.0232] 6387; 1724 [R(int) = 0.0275] Independent reflections Completeness to theta 98.1% 92.20% Refinement method Full-matrix least-squares on F2 Full-matrix least-squares on F2 Data/restraints/paramete 1686/0/129 1724/3/141 rs Goodness-of-fit on F2 1.068 1.077 Final R indices [I > R1 = 0.0338, wR2 = 0.0958 R1 = 0.0450. wR2 = 0.1423 2sigma(I)] R indices (all data) R1 = 0.0384, wR2 = 0.0992 R1 = 0.0568. wR2 = 0.1562 Extinction coefficient 0.0028(6) 0.0006(3)

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Table 1. Crystal data and structure refinement for DADB and DEADP.

Empirical Formula C24H22O4 (DADB) C24H26O4 (DEADP) Formula weight 374.42 378.46 Temperature 296(2) K 298(2) K CrystalsWavelength 2021, 11, x FOR PEER REVIEW 1.54178 Å 1.541789 of Å 21 Crystal system, space group Monoclinic; P 21/c Monoclinic; C 2/c a = 13.0556(3) Å α = 90◦ a = 28.6843(10) Å α = 90◦ Unit cell dimensions b = 4.03270(10) Å β = 90.7920(10)◦ b = 4.9458(2) Å β = 113.062(2)◦ c = 18.0384(4) Å γ = 90◦ c = 15.8870(6) Å γ = 90◦ Largest diff. peak and Volume 949.62(4) Å3 −3 2073.71(14) Å−33 0.147 and −0.133 e.Å 0.235 and −0.206 e.Å Z, Density (calculated) hole 2; 1.309 Mg/m3 1.212 Mg/m3 Absorption coefficient, F(000) 0.714 mm−1; 396 0.654 mm−1; 808 3 3 Crystal size Geometric parameters0.071 of DADB× 0.138 ×showed0.372 mm that it has a non-planar0.470 × conformation0.202 × 0.144 mm by Theta range for data collection 3.385 to 68.159◦. 3.349 to 66.783◦. Index ranges analyzing the angle−15 ≤formedh ≤ 15, −between3 ≤ k ≤ 4, the−21 planes≤ l ≤ 21 of acrylate−32 ≤ andh ≤ 33.anthracene−5 ≤ k ≤ 3. groups−18 ≤ l (≤ω171 = Reflections collected; Independent reflections48.72°). On the other hand, the 5976; acrylate 1686 [R(int) portions = 0.0232] can be considered planar 6387; 1724 since [R(int) the = unique 0.0275] Completeness to theta 98.1% 92.20% planarity deviation is a slight twist around the σ-bond C9–C10 (ω1 = 12.09°). A Refinement method Full-matrix least-squares on F2 Full-matrix least-squares on F2 Data/restraints/parametersconformational analysis was performed 1686/0/129 on two flexible dihedral angles C8–C 1724/3/1419–C10–O1 2 Goodness-of-fit on F (carbonyl and olefin groups) and C2–C1–C8–C1.0689 (olefin and anthracene groups), indicating 1.077 Final R indices [I > 2sigma(I)]that carbonyl groups adopt R 1an= 0.0338,anti-peripla wR2 = 0.0958nar conformation regarding R1 = 0.0450. olefin wR2 =moiety, 0.1423 R indices (all data) R1 = 0.0384, wR2 = 0.0992 R1 = 0.0568. wR2 = 0.1562 Extinction coefficientwhile the last one has a syn-clinal conformation 0.0028(6) regarding the anthracene group. 0.0006(3) Like Largest diff. peak and hole DADB, the ethyl portion of DEADP0.147 and −is0.133 nonplanar e·Å−3 to the anthracene0.235 group and − 0.206(the eangle·Å−3 formed between the planes, ω1, is 25.38°). ForFor DADB, DADB, the the carbonyl group often assistsassists in aggregationaggregation viavia twotwo weakweak C–HC–H··· ⋯OO interactions.interactions. These These interactions interactions are are responsible responsible for for assembling assembling the the acrylate acrylate groups groups as as follows: the first one [C11–H11···O2i; d(D-H) = 0.970Å; d(D-A) = 3.137Å; d(H⋯A) = 2.777Å; ∡ = follows: the first one [C11–H11 ··· O2i; d(D-H) = 0.970 Å; d(D-A) = 3.137 Å; d(H··· A) = 102.69°] gives rise to ◦a 1D zigzag chain with C(13) motif, represented by the color green in 2.777 Å; ] = 102.69 ] gives rise to a 1D zigzag chain with C(13) motif, represented by Figure 6a. Then, the second one [C11i–H11i ⋯ O2; same geometric parameters of C11–H11 ⋯ the color green in Figure6a. Then, the second one [C 11i–H11i ··· O2; same geometric Oparameters2i] forms a complementary of C –H ··· O1D ]chain, forms also a complementary with C(13) motif 1D that chain, connects also two with greenC(13) chains motif 11 11 2i asthat a layer connects almost two parallel green chainsto ( 0 as 3), a represented layer almost by parallel the color to (blue1 0 3), inrepresented Figure 6b,c. byThe the crystal color packingblue in Figure of DEADP6b,c. The is crystallike that packing of DADB, of DEADP since is likeit is that stabilized of DADB, by since two it isC–H stabilized ⋯ O interactions. The first interaction [C5–H5 ⋯ O1i; d(D-H) = 0.931Å; d (D-A) = 3.541Å; d by two C–H ··· O interactions. The first interaction [C5–H5 ··· O1i; d (D-H) = 0.931 Å; d ◦ (H(D-A)⋯A) == 3.5412.641Å; Å; ∡ d = (H 162.74··· A) °] = forms 2.641 Å;a chain] = 162.74along the] forms c axis, a chainwhile alongthe second the c interactionaxis, while 5i 5i ⋯ 1 ⋯ ∡ [Cthe–H second O interaction; d (D-H) [C= 5i0.931Å;–H5i ··· d (D-A)O1; d (D-H)= 3.541Å; = 0.931 d (H Å;A) d (D-A) = 2.641Å; = 3.541 = Å; 162.74 d (H ···°] linksA) = ◦ these2.641 chains Å; ] = to 162.74 form ]a linkslayer these parallel chains to (100). to form a layer parallel to (100).

FigureFigure 6. Two independentindependent chainschains formedformed by by weak weak intermolecular intermolecular interactions interactions of DADBof DADB (a, b();a, fol-b); followedlowed by by the the supramolecular supramolecular arrangement arrangement in (c). in Similar (c). Similar chains arechains separated are separated by 8.065 Å, by represented 8.065 Å, representedby the green by and the blue green colors. and blue colors.

The supramolecular arrangements of DADB and DEADP were also evaluated from HS analysis. By combining (distance from the inner molecule to the surface) and de (distance from the outer molecule to the surface) in the function of their Van der Waals radii, it is possible to generate a surface named . This surface is based on a scale color ranging from blue (less intense) to red (more intense). In this sense, the weak intermolecular interactions of DADB are shown as red dots on the surface, as seen in Figure 7a. The 2D fingerprint plot of O···H contacts is also shown, indicating their percentage. Although interactions (1) and (2) present high intensity on surface, the fingerprint indicates and around 1.5 Å as weak interactions. On the other hand,

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The supramolecular arrangements of DADB and DEADP were also evaluated from HS analysis. By combining di (distance from the inner molecule to the surface) and de (distance from the outer molecule to the surface) in the function of their Van der Waals radii, it is possible to generate a surface named dnorm. This surface is based on a scale color ranging from blue (less intense) to red (more intense). In this sense, the weak intermolecular interactions of DADB are shown as red dots on the surface, as seen in Figure7a. The 2D Crystals 2021, 11, x FOR PEER REVIEW 10 of 21 fingerprint plot of O···H contacts is also shown, indicating their percentage. Although interactions (1) and (2) present high intensity on dnorm surface, the fingerprint indicates d and d around 1.5 Å as weak interactions. On the other hand, interactions (3) and (4), interactionse i (3) and (4), represented in both the HS and fingerprint plots of Figure 7b, represented in both the HS and fingerprint plots of Figure7b, presented de and di around presented and around 1.4 Å for DEADP. 1.4 Å for DEADP.

FigureFigure 7. 7.HirshfeldHirshfeld surface surface dnorm d confirmingnorm confirming the intermolecular the intermolecular interactions interactions of DADB of(a) DADBand the ( a2D) and the 2D fingerprintfingerprint plot plot of O–H of O–H contacts contacts (b). (b).

TheThe ππ delocalization presented presented on on the anthraceneanthracene portionportion providesprovides aa planarplanarconforma- conformationtion to it. Hence, to it. Hence, the crystal the crystal packing packing of DADB of DADB is also is stabilizedalso stabilized by π by··· π π⋯, asπ, representedas representedin Figure8 a,inand Figure observed 8a, and in obse allrved aromatic in all ringsaromatic (Cg rings··· Cg(Cg = ⋯ 4.033 Cg = Å). 4.033 The Å confirmation). The of confirmation of this interaction is given from the shape index surface (Figure 8b) as red this interaction is given from the shape index surface (Figure8b) as red and blue triangular and blue triangular shapes above aromatic rings, representing the places where two shapes above aromatic rings, representing the places where two molecules meet each other. molecules meet each other. π ··· π InIn addition, addition, π ⋯ π interactionsinteractions have two have specific two features specific in featuresthe 2D fingerprint in the 2D plots fingerprint plots of C ··· C contacts: (a) a triangular shape around 2.2Å > d and d > 1.7 Å; and (b) of C ⋯ C contacts: a) a triangular shape around 2.2Å > and > 1.7e Å; and ib) high ≈ ≈ incidencehigh incidence of contacts of contactswith ≈ with ≈d 1.8,e concerningdi 1.8, concerningthe stacking of the aromatic stacking rings. of aromatic Even rings. havingEven havingas anthracene as anthracene portion, DEADP portion, adopts DEADP a conformation adopts a which conformation stabilizes whichthe DEADP stabilizes the crystalDEADP packing crystal with packing C–H ⋯ with π interactions, C–H ··· π showninteractions, in Figure shown 8c [C8 in-H Figure8A ⋯ Cg8cA; [C d (D–H)8-H8A ··· CgA; ◦ =d 0.969Å; (D–H) d = (D–A) 0.969 = Å 3.628Å;; d (D–A) d (H = 3.628⋯ A) Å;= 2.987Å; d (H ··· ∡ =A) 124.67°; = 2.987 C Å;8–H]8B =⋯ 124.67 CgB; d ;C(D–H)8–H 8B= ··· CgB; 0.969Å; d (D–A) = 3.803Å; d (H ⋯ A) = 3.151Å; ∡ = 126.06°; C8–H8A ⋯ CgA; ◦d (D–H) = d (D–H) = 0.969 Å; d (D–A) = 3.803 Å; d (H ··· A) = 3.151 Å; ] = 126.06 ;C8–H8A ··· CgA; ◦ 0.931Å;d (D–H) d (D–A) = 0.931 = 3.937Å; Å; d (D–A) d (H =⋯ 3.937 A) = Å;3.256Å; d (H ∡··· = 131.75°].A) = 3.256 These Å; contacts] = 131.75 are 21.2%]. These of contacts theare total 21.2% and of theare totalcharacterized and are characterizedboth as red regions both as over red regionsaromatic over rings aromatic A, B and rings C A, B and (acceptorC (acceptor regions) regions) and blue and regions blue regions over ethyl over hydrogens ethyl hydrogens (donor re (donorgions) (Figure regions) 8d). (Figure 8d).

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Figure 8. 8. RepresentationRepresentation of π of ⋯π π··· interactionsπ interactions (a) and (a )the and shape the index shape surface index followed surface followedby 2D by 2D fingerprintfingerprint plot plot (b ()b confirming) confirming the thestac stackingking of DADB; of DADB; C–H ⋯ C–H π interactions··· π interactions (c) and the (c) shape and the index shape index surface followed by 2D fingerprint plot (d) confirming the arrangement of DEADP. surface followed by 2D fingerprint plot (d) confirming the arrangement of DEADP. 3.5. Molecular Modeling Analysis 3.5. Molecular Modeling Analysis plays an important role in understanding the chemical structure of theMolecular compounds. geometry The lengths plays and an angles important bond role molecules in understanding of the DADB the and chemical DEADP structure compoundsof the compounds. are shown The in lengthsTables 2 and and angles 3. The bond results molecules obtained ofby the DFT/M06-2X/6- DADB and DEADP 311G++(d,compounds p) level are of shown theory inagree Tables with2 the and experimental3. The results data, according obtained to bythe DFT/M06-2X/6-correlation factor311G++(d, RDADB = p) 0.9825 level and of R theoryDEADP = agree0.9816 withto bond the lengths, experimental and RDADB data, = 0.9339 according and RDEADP to = the corre- 0.9786 to angle and show by graphs present by Figures 9 and 10. lation factor RDADB = 0.9825 and RDEADP = 0.9816 to bond lengths, and RDADB = 0.9339 The bond lengths obtained by theoretical calculations in the aromatic region of the and RDEADP = 0.9786 to angle and show by graphs present by Figures9 and 10. compounds also agree with the values found for the anthracene molecule by measuring TableX-ray diffraction 2. Reactivity [32]. index The of average DADB lengths and DEADP of the compounds. –C–O– and –C=O bonds in the carboxyl group in both compounds correspond to 1.35 Å and 1.22 Å, respectively. Unsaturation in the vinylMolecular group Parametersof DADB (–C8=C9–) has Dadb a length (kcal equal·mol to−1 1.34) Å, whereas Deadp the saturation (kcal·mol −1) of the same carbon atoms in DEADP (–C8–C9–) has an average length of 1.53 Å. The ∆EHOMO-LUMO 116.04 121.91 aliphatic group covalently connected to the anthracene B ring through the –C1–C8– bonds Electronegativity (χ) 157.31 152.40 in the DADB with an average length of 1.48 Å and the –C7–C8– bonds in the DEADP with Chemical Potential (µ) −99.29 −91.44 an average length of 1.51 Å. The average length of –C1–C8– bonds in DADB is 2.3% shorter Chemical Hardness (η) 58.02 61.00 thanGlobal the equivalent Electrophilicity –C7–C8 (–ω bond) in DEADP. In61.86 addition, the average length of 65.44–C9–C10– bonds in DADB is 2.6% shorter than in DEADP. On the other hand, the average length of the –C=O bonds of the carbonyls in DADB is 2.4% higher than in DEADP. The aforementionedThe bond differences lengths obtained are related by to theoretical the presence calculations of π electrons in in the thearomatic –C8=C9– bonds region of the ofcompounds the DADB that also resonate agree with with thethe π values electrons found of the for aromatic the anthracene ring of anthracene. molecule On by the measuring X-rayother hand, diffraction the π [electrons32]. The that average resonate lengths in this of theregion –C–O– result and in –C=Othe repulsion bonds inof thethe carboxyl electronsgroup in from both the compounds –C=O bond, correspond causing its elongation. to 1.35 Å and 1.22 Å, respectively. Unsaturation in In fact, the largest deviations observed for the angles between the two compounds the vinyl group of DADB (–C8=C9–) has a length equal to 1.34 Å, whereas the saturation of are found at the atoms of C8 and C9. The angles –C1–C8–C9– and –C8–C9–C10– are the same carbon atoms in DEADP (–C8–C9–) has an average length of 1.53 Å. The aliphatic respectivelygroup covalently 5.29° and connected 3.04° larger, to the compared anthracene to the B ring120° throughvalue of thethe –Cplane–C trigonal– bonds in the geometry in the DADB. In the DEADP composite, the angles of the tetrahedral1 geometry8 DADB with an average length of 1.48 Å and the –C7–C8– bonds in the DEADP with an are altered in relation to the value of 109.5°, which increase 2.53° and 2.44° in –C7–C8–C9– average length of 1.51 Å. The average length of –C1–C8– bonds in DADB is 2.3% shorter than the equivalent –C7–C8– bond in DEADP. In addition, the average length of –C9–C10– bonds in DADB is 2.6% shorter than in DEADP. On the other hand, the average length of the –C=O bonds of the carbonyls in DADB is 2.4% higher than in DEADP. The aforementioned differences are related to the presence of π electrons in the –C8=C9– bonds of the DADB that resonate with the π electrons of the aromatic ring of anthracene. On the other hand, Crystals 2021, 11, 934 11 of 20

the π electrons that resonate in this region result in the repulsion of the electrons from the –C=O bond, causing its elongation.

Table 3. Second-order perturbation theory analysis in NBO basis obtained at M06-2X/6-311G(d,p) level of theory for DADB.

E −E F(i, j) Donor (i) ED (i) Acceptor (j) ED (j) E2 · −1 j i (kcal mol ) (a.u.) (a.u.) Frontal Interaction ∗ σ(C11i–H) 1.9855 σ (C11–H) 0.0211 0.10 1.08 0.009 ∗ η1(O2i) σ (O1–C11) 0.0359 0.46 1.11 0.020 1.9773 ∗ η1(O2i) σ (C12–H) 0.0046 0.10 1.28 0.010

Unit 1 to 2 ∗ η2(O2i) 1.8649 σ (O1–C11) 0.0359 0.13 0.67 0.008

∗ σ(C11–H) 1.9852 σ (C11i–H) 0.0205 0.07 1.05 0.008 Unit 2 to 1

Axial Interaction ∗ π (C1i–C2i) 0.4056 0.13 0.37 0.007 π(C3i–C4i) 1.7752 ∗ π (C1–C5) 0.3934 0.19 0.38 0.008

π*(C5i–C2) 0.4979 0.06 0.33 0.004 π(C2i–C5) 1.5062 ∗ π (C1–C5) 0.3934 0.18 0.34 0.007 ∗ σ(C8i–H) 1.9686 π (C6i–C7i) 0.2097 0.13 0.67 0.009 ∗ π (C6i–C7i) 0.2097 0.15 0.39 0.007 π(C6i–C7i) 1.7806 ∗ π (C3–C4) 0.2028 0.20 0.40 0.008 ∗ σ(C11i–H) 1.9853 σ (C10i–H) 0.0180 0.05 1.28 0.007 ∗ σ(C12i–H) 1.9865 σ (C11i–H) 0.0210 0.06 1.04 0.007 ∗

Unit 1 to 2 π(C1–C2) 1.6016 π (C3–C4) 0.2028 0.23 0.37 0.009 ∗ σ (C8–H) 0.0225 0.18 0.83 0.011 π(C6–C7) 1.7848 ∗ π (C6–C7) 0.2057 0.20 0.40 0.008 ∗ σ(C9–H) 1.9741 σ (C3–H) 0.0155 0.06 1.12 0.007 ∗ π(C10–O2) 1.9800 σ (C11–H) 0.0214 0.32 0.95 0.16 ∗ σ(C11–H) 1.9857 σ (C12–H) 0.0096 0.07 1.07 0.008 ∗ π (C8i–C9i) 0.0158 0.07 0.48 0.005 η (O ) 2 1i 1.8133 ∗ π (C10i–O2i) 0.2290 0.07 0.45 0.005 ∗ η2(O1) 1.8125 σ (C12–H) 0.0101 0.18 0.88 0.012 ∗ π(C1i–O2i) 1.6016 π (C3i–O4i) 0.2029 0.23 0.37 0.009 ∗ π (C1i–O5i) 0.3933 0.18 0.34 0.007 π(C5i–O2) 1.5061 ∗ π (C2i–O5) 0.4979 0.06 0.33 0.004 ∗ σ (C8i–H) 0.0225 0.18 0.83 0.011 π(C6i–C7i) 1.7848 ∗ π (C6i–C7i) 0.2056 0.20 0.40 0.008 ∗ σ(C9i–H) 1.9741 σ (C3i–H) 0.0155 0.06 1.12 0.007 ∗ π(C10i–O1i) 1.9800 σ (C11i–H) 0.0214 0.32 0.95 0.016 ∗ σ(C11i–H) 1.9857 σ (C12i–H) 0.0096 0.07 1.07 0.008 ∗ π (C1i–C5i) 0.3933 0.19 0.38 0.008 π(C3–C4) 1.7753 ∗

Unit 2 to 1 π (C1–C2) 0.4056 0.13 0.37 0.007 ∗ σ(C8–H) 1.9686 π (C6–C7) 0.2098 0.13 0.67 0.009 ∗ π (C3i–C4i) 0.2029 0.20 0.40 0.008 π(C6–C7) 1.7805 π*(C6–C7) 0.2098 0.15 0.39 0.007 ∗ σ(C11–H) 1.9852 σ (C10–O2) 0.0180 0.05 1.28 0.007 ∗ σ(C12–H) 1.9865 σ (C11–H) 0.0210 0.06 1.04 0.007 ∗ η2(O1i) 1.8125 σ (C12i–H) 0.0101 0.18 0.88 0.012 ∗ π (C8–C9) 0.0568 0.07 0.48 0.005 η (O ) 2 1i 1.8133 ∗ π (C10–O2) 0.2291 0.07 0.45 0.005 Crystals 2021, 11, x FOR PEER REVIEW 12 of 21

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and –C8–C9–C10–, respectively. Both the anthracene aromatic ring and the aliphatic groups andare –Ccoplanar8–C9–C 10in–, bothrespectively. compounds. Both However,the anthracene these aromatic groups ringof molecules and the aliphatic are in different groups areplanes coplanar when intheir both dihedral compounds. angles areHowever, evalua ted.these In groupsthe DADB of moleculesmolecule, theare aliphaticin different and planesaromatic when groups their are dihedral located angles at 56.60°, are evalua when ted.we lookIn the at DADB the dihedral molecule, angle the –C aliphatic2–C1–C8 –Cand9– aromatic; on the othergroups hand, are locatedin the DEADP at 56.60°, molecule, when we th lookese groupsat the dihedral are at an angle average –C2–C distance1–C8–C 9of– ; 88.01°,on the whenother wehand, look in at the the DEADP dihedral molecule, angle –C th2–Cese7–C groups8–C9–. are at an average distance of 88.01°, when we look at the dihedral angle –C2–C7–C8–C9–. Crystals 2021, 11, 934 12 of 20

(a) (b) (a) (b) Figure 9. Comparison between the (a) bond lengths and (b) angles obtained using DFT method (M06-2X) and experimental FigureFigureresult 9. for9.Comparison Comparison DADB molecule. betweenbetween thethe ((aa)) bondbond lengthslengths andand ((bb)) anglesangles obtainedobtained usingusing DFTDFT methodmethod (M06-2X)(M06-2X) and and experimentalexperimental resultresult for for DADB DADB molecule. molecule.

(a) (b) (a) (b) FigureFigure 10. 10.Comparison Comparison between between the (athe) bond (a) lengthsbond lengths and (b) anglesand (b obtained) angles usingobtained DFT methodusing DFT (M06-2X) method and experimental(M06-2X) and experimental result for DEADP molecule. resultFigure for 10. DEADP Comparison molecule. between the (a) bond lengths and (b) angles obtained using DFT method (M06-2X) and experimental result for DEADP molecule. InThe fact, energies the largest of the deviations frontier observedmolecular for orbitals the angles (HOMO between and LUMO), the two compounds obtained by are the foundDFTThe calculations, at the energies atoms offor the C the8 andfrontier compounds C9. Themolecular angles studied –Corbitals1 in–C this8–C (HOMO 9paper,– and –Careand8 –Cshown LUMO),9–C10 in– areFigureobtained respectively 11. by These the 5.29DFTdata◦ calculations, andare important 3.04◦ larger, for parameters the compared compounds in to the the studiedelectronic 120◦ value in descriptionthis of paper, the plane are of theshown trigonal chemical in geometryFigure compound, 11. inThese the as DADB.datathey are help In important thein the DEADP understanding parameters composite, in ofthe the chemical electronic angles reactivity of description the tetrahedral and of kinetic the geometry chemical stability arecompound, of alteredmolecules. inas ◦ ◦ ◦ relationtheyHOMO help to corresponds thein the value understanding of to 109.5 the ability, which of thatchemical increase the mo reactivity 2.53leculeand must and 2.44 donate kineticin –C 7electrons, –Cstability8–C9– of andwhile molecules. –C LUMO,8–C9– Δ CHOMOto10 –,receive respectively. corresponds electrons. Both and,to thethe thus, anthraceneability for thatlarg aromaticethe values molecule of ring the andmust difference the donate aliphatic between electrons, groups their while are E coplanarHOMO-LUMO LUMO, intoenergies, bothreceive compounds. theelectrons. molecule However,and, is thus,highly thesefor stable, larg groupse whichvalues of moleculesmeans of the differencethat are the in compound different between planes theirhas low Δ whenE HOMO-LUMOreactivity their dihedralenergies,in chemical angles the moleculereactions, are evaluated. is and highly vice In stable, theversa. DADB which ΔEHOMO-LUMO molecule, means thatcalculations the the aliphatic compound showed and has aromatic that low the reactivity groups DADB ◦ Δ areinmolecule chemical located is at morereactions, 56.60 reactive, when and than wevice the look versa. DEADP at theEHOMO-LUMO dihedralmolecule. calculations angle The differences –C2–C showed1–C 8between–C9 –;that on thethe the energies DADB other ◦ hand,moleculeof the in molecular the is more DEADP reactive orbitals, molecule, than ΔEHOMO-LUMO thesethe DEADP groups, show molecule. are that at an the averageThe DADB differences distance molecule between of 88.01is chemically the, when energies weless lookof the at molecular the dihedral orbitals, angle –CΔE2HOMO-LUMO–C7–C8–C, 9show–. that the DADB molecule is chemically less The energies of the frontier molecular orbitals (HOMO and LUMO), obtained by the DFT calculations, for the compounds studied in this paper, are shown in Figure 11. These data are important parameters in the electronic description of the chemical compound, as they help in the understanding of chemical reactivity and kinetic stability of molecules. HOMO corresponds to the ability that the molecule must donate electrons, while LUMO, to receive electrons. and, thus, for large values of the difference between their ∆EHOMO-LUMO energies, the molecule is highly stable, which means that the compound has low reactivity in chemical reactions, and vice versa. ∆EHOMO-LUMO calculations showed that the DADB molecule is more reactive than the DEADP molecule. The differences between the energies Crystals 2021, 11, x FOR PEER REVIEW 13 of 21

stable than the DEADP molecule. This is justified by the presence of π electrons located in the unsaturation between atoms C8 and C9, in DADB. Furthermore, the energies of the frontier orbitals play an important role in describing the electronic structure, as well as the chemical reactivity of molecules. Important descriptors can be drawn from these values, such as electronegativity , chemical potential =−, hardness and softness =1/, defined by the expressions Crystals 2021, 11, 934 + 1 − 13 of 20 = =− = −, = = and = 2 2 2 2 (4) () ()

whereof the molecular is the energy orbitals, of∆ theEHOMO-LUMO system, , showis the that number the DADB of electrons, molecule =− is chemicallyEHOMO is lessthe ionizationstable than potential, the DEADP =− molecule.ELUMO is Thisthe electron is justified affinity by the [33]. presence Table 2 of bringsπ electrons the reactivity located indexesin the unsaturation for the DADB between molecules atoms and C 8theand DEADP C9, in DADB.molecule. Furthermore, the energies of the frontier orbitals play an important role in describing the electronic structure, as well as the Tablechemical 2. Reactivity reactivity index of molecules.of DADB and Important DEADP compounds. descriptors can be drawn from these values, such as electronegativity χ, chemical potential µ = −χ, hardness η and softness σ = 1/η, Molecular Parameters Dadb (kcal.mol−1) Deadp (kcal.mol−1) defined by the expressions ΔEHOMO-LUMO 116.04 121.91 Electronegativity ()  ∂E  I + A 157.31 1  ∂2E  I − A 152.40 µ2 µ = = − = −χ, η = = and ω = (4) Chemical Potential () −99.29 2 −91.44 ∂N υ(r) 2 2 ∂N υ(r) 2 2η Chemical Hardness () 58.02 61.00 Global Electrophilicitywhere () E is the energy of the system,61.86 N is the number of electrons, 65.44I = −EHOMO is the ionization potential, A = −ELUMO is the electron affinity [33]. Table2 brings the reactivity indexes for the DADB molecules and the DEADP molecule.

EHOMO = −157.31 kcal.mol−1 ELUMO = −41.27 kcal.mol−1 (a)

−1 EHOMO = −152.40 kcal.mol−1 ELUMO = −30.49 kcal.mol (b)

Figure 11. Frontier orbitals HOMO and LUMO for the ((aa)) DADBDADB andand ((bb)) DEADPDEADP molecule,molecule, obtainedobtained byby DFT/M06-2X/6-DFT/M06-2X/6- 311G++(2d, 2p) 2p) level level of of theory. theory.

The electronic isodensities [25,29] for the DADB and DEADP molecules are shown in the electrostatic potential maps in Figure 12. The MEP maps show that the regions with the highest electron density are predominantly concentrated in the red regions of the molecules; that is, the oxygen atoms of the carbonyl groups are prone to electrophilic attacks. Crystals 2021, 11, x FOR PEER REVIEW 14 of 21

The electronic isodensities [25,29] for the DADB and DEADP molecules are shown in the electrostatic potential maps in Figure 12. The MEP maps show that the regions with the highest electron density are predominantly concentrated in the red regions of the molecules; that is, the oxygen atoms of the carbonyl groups are prone to electrophilic attacks. The regions in blue, located on the hydrogen atoms, are the Van der Waals surfaces of lower electron density. The lowest potential values calculated on the electrophilic regions of the DADB and DEADP molecules are −31.39 and −29.96 kcal.mol−1, respectively. Therefore, the carbonyl groups of both molecular structures are sites with high electronic Crystals 2021, 11, 934 14 of 20 density charge, which can exhibit Lewis base behavior in chemical processes.

(a) (b)

Figure 12. MEP surfacesurface atat thethe ρρ(r)(r) = = 4.04.0× × 10−4 4electrons/bohrelectrons/bohr contour contour of of the the total total SCF SCF electronic electronic density density for for the ( a) DADB and (b) DEADP molecules,molecules, usingusing M06-2X/6-311++G(2d,2p)M06-2X/6-311++G(2d,2p) level level of of theory. theory.

3.6. SupramolecularThe regions in Arrangement blue, located on the hydrogen atoms, are the Van der Waals surfaces of lowerDADB electron crystals density. are The lowestformed potential through values two calculated specific onarrangements, the electrophilic observed regions −1 experimentally:of the DADB and the DEADP first arrangement molecules areis a −zig-zag31.39 and structure,−29.96 where kcal.mol the molecules, respectively. are joinedTherefore, frontally the carbonyl throughgroups –C=O ⋯ of C both11 interactions; molecular the structures second arearrangement sites with forms high electronic a second structuredensity charge, that interacts which can axially exhibit with Lewis the basefirst behavior(Figure 13a). in chemical The calculated processes. values for the complexation energies in the frontal and axial interactions between molecules in the 3.6. Supramolecular Arrangement DADB crystals are −3.12 and −17.01 kcal.mol−1, respectively, corrected by the counterpoise theoryDADB [30]. crystals are formed through two specific arrangements, observed experimen- tally:The the firstfirst arrangementarrangement is appears a zig-zag essentially structure, wherebetween the the molecules region areof higher joined frontallyelectron ··· densitythrough of –C=O a molecularC11 interactions; unit, around the the second carbonyl arrangement group –(CO)–, forms with a second the region structure of thatlow electroninteracts density axially of with the the second first (Figuremolecular 13a). unit, The the calculated ethyl group values (Figure for the13a). complexation The second energies in the frontal and axial interactions between molecules in the DADB crystals are arrangement takes place with the axial contact between the molecules of the compound; −3.12 and −17.01 kcal.mol−1, respectively, corrected by the counterpoise theory [30]. its complexation energy is about 5.5 times more intense due to the large surface area of The first arrangement appears essentially between the region of higher electron density the structures in which contact occurs. of a molecular unit, around the carbonyl group –(CO)–, with the region of low electron Similarly, the DEADP crystals are formed in two arrangements: the first in zig-zag density of the second molecular unit, the ethyl group (Figure 13a). The second arrangement and the second in layers (Figure 13b). In this case, the formation of the first arrangement takes place with the axial contact between the molecules of the compound; its complexation occurs through the contact between the O atom of the carbonyl group with the H atom of energy is about 5.5 times more intense due to the large surface area of the structures in the anthracene ring while the second also axially (Figure 13b). The theoretical calculation which contact occurs. showed that the complexation energy of the frontal contact has an energy equal to −3.69 Similarly, the DEADP crystals are formed in two arrangements: the first in zig-zag kcal.mol−1 while the axial contact resulted in an energy of −12.69 kcal.mol−1. The axial and the second in layers (Figure 13b). In this case, the formation of the first arrangement contactoccurs throughbetween the DEADP contact molecules between theis justified O atom ofby thethe carbonyl large surface group area, with which the H atomis in contactof the anthracene with the crystals, ring while resulting the second in an also interaction axially (Figure 3.4 times 13b). greater The theoretical compared calcula- to the frontaltion showed contact. that the complexation energy of the frontal contact has an energy equal to −3.69 kcal·mol−1 while the axial contact resulted in an energy of −12.69 kcal·mol−1. The axial contact between DEADP molecules is justified by the large surface area, which is in contact with the crystals, resulting in an interaction 3.4 times greater compared to the frontal contact. Crystals 2021, 11, x FOR PEER REVIEW 15 of 21

Crystals 2021, 11, 934 15 of 20

(a) (b)

Figure 13. Arrangements observed in DADB (a) and DEADP (b)) crystals.crystals.

Through NBO calculations, it was possible to determinedetermine the stabilizingstabilizing interactionsinteractions between the donor bonding orbitals (Lewis type) and acceptoracceptor antibondingantibonding (non-Lewis(non-Lewis type) in the molecules of the crystalscrystals ofof DADBDADB (Table(Table3 )3) and and DEADP DEADP (Table (Table4). 4). The The interactions present between the bonding orbitals (donors) and thethe antibondingantibonding orbitalsorbitals (acceptors) have low hyperconjugation energies.energies. The frontal contact between two DADB molecules showed that there are preferential hyperconjugations between the bonding σ orbitals the C11–H–H and and C C11i11i–H–H bonds—where bonds—where the the donor donor orbitals orbitals have have an an occupancy occupancy slightly higher than 1.98e, while the acceptoracceptor orbitals have anan occupancyoccupancy ofof 0.02e.0.02e. The isolatedisolated pairs of electrons from the O atom of the carbonylcarbonyl of a molecularmolecular unit also participate in this intermolecular interaction throug throughh hyperconjugation with antibonding σ* orbitals of the O O11–C–C1111 andand C C1212–H–H bonds bonds of ofthe the second second molecular molecular unit. unit. In the In theaxial axial contact contact between between the DADBthe DADB molecules, molecules, it is it possible is possible to toobserve observe a alarge large amount amount of of hyperconjugation hyperconjugation between the binding π orbitals of one molecular unit with the antibonding π* orbitals of the second molecular unit. These hyperconjugations have have low energies, but in general, higher than · −1 0.1 kcal.mol kcal mol−1, especially, especially in in the the interactions interactions that that occur occur in inthe the region region of ofthe the aromatic aromatic ring ring of anthracene.of anthracene. In InDEADP DEADP crystals, crystals, frontal frontal cont contactact between between molecular molecular units units occurs occurs weakly through σ and π hyperconjugations, and through isolated pairs of electrons on the O atom through σ and π hyperconjugations, and through isolated pairs of electrons on the O atom of the carbonyls of one molecular unit with the antibonding orbitals of the other unit. of the carbonyls of one molecular unit with the antibonding orbitals of the other unit. The The axial contact results in numerous interactions that are weakly stabilized thanks to axial contact results in numerous interactions that are weakly stabilized thanks to the large the large contact surface in the planar region of the aromatic ring of the anthracene core. contact surface in the planar region of the aromatic ring of the anthracene core. Hyperconjugations of the bonding π orbitals with the antibonding π* orbitals have a greater Hyperconjugations of the bonding π orbitals with the antibonding π* orbitals have a stabilizing energy, as well as occur in the layered structure of DEADP crystals. greater stabilizing energy, as well as occur in the layered structure of DEADP crystals.

Crystals 2021, 11, 934 16 of 20

Table 4. Second-order perturbation theory analysis in NBO basis obtained at M06-2X/6-311G(d,p) level of theory for DEADP.

E −E F(i, j) Donor (i) ED (i) Acceptor (j) ED (j) E2 (kcal·mol−1) j i (a.u.) (a.u.) Frontal Interaction ∗ σ (C3–H) 0.0156 0.08 0.85 0.008 π(C3–C4) 1.7854 ∗ σ (C4–H) 0.0163 0.24 0.84 0.013 ∗ σ(C9i–H) 1.96446 σ (C4–H) 0.0163 0.06 1.10 0.007

π(C1i–C7i) 1.6120 π*(C3–C4) 0.2058 0.06 0.01 0.001

Unit 1 to 2 ∗ σ (C3–H) 0.0156 0.07 0.45 0.015 π(C3–C4) 1.7854 ∗ σ (C4–H) 0.0163 0.06 0.45 0.014

π*(C3–C4) 0.0162 0.18 0.67 0.010 σ(C3–H) 1.9769 π*(C5–C6) 0.2054 0.07 0.67 0.006

σ(C4–H) 1.9770 π*(C3–C4) 0.0162 0.08 0.66 0.007 ∗ π(C10i–O1i) 1.9931 σ (C5–H) 0.0174 0.23 1.01 0.014

Unit 2 to 1 ∗ η1(O1i) 1.9769 σ (C5–H) 0.0174 0.36 1.33 0.019 ∗ η2(O1i) 1.8664 σ (C5–H) 0.0174 0.42 0.89 0.018 Axial Interaction ∗ π(C3–C4) 1.7794 π (C5–C6) 0.2098 0.22 0.39 0.008 ∗ π(C5–C6) 1.7882 σ (C8–H) 0.0169 0.13 0.80 0.010

π*(C1i–C2i) 0.5102 0.09 0.34 0.005 π(C1i–C7i) 1.6098 π*(C3i–C4i) 0.2083 0.35 0.37 0.011

π(C5i–C6i) 1.7858 π*(C3i–C4i) 0.2083 0.12 0.40 0.006 ∗ σ (C8i–C9i) 0.0158 0.05 0.92 0.006

Unit 1 to 2 π (C10i–O1i) 1.9928 ∗ σ (C9i–H) 0.0136 0.13 0.97 0.010

π*(C1–C7) 0.3825 0.35 0.18 0.009 η1(C2) 1.0084 ∗ σ (C8–C9) 0.0162 0.09 0.55 0.009 ∗ η1(O2) 1.9776 σ (C8i–C9i) 0.0158 0.10 1.23 0.010

η1(C2) 1.0084 0.13 0.18 0.005 π(C1–C7) 1.6099 π*(C3–C4) 0.2082 0.35 0.37 0.011

π(C5–C6) 1.7858 π*(C3–C4) 0.2082 0.12 0.40 0.006

σ(C8–H) 1.9758 π*(C1–C7) 0.0302 0.06 0.64 0.006

σ(C8–H) 1.9762 η1(C2) 1.0084 0.05 0.46 0.006 ∗ σ (C8–C9) 0.0158 0.05 0.92 0.006 π(C10–O1) 1.9928 ∗ σ (C9–H) 0.0136 0.13 0.97 0.010 Unit 2 to 1 π*(C1i–C7i) 0.3826 0.06 0.35 0.004 π(C1i–C2i) 1.5094 ∗ σ (C8i–C9i) 0.0162 0.10 0.71 0.009

π(C3i–C4i) 1.7793 π(C5i–C6i) 0.2098 0.22 0.39 0.008 ∗ π(C5i–C6i) 1.7882 σ (C8i–H) 0.0169 0.13 0.80 0.010 ∗ η1(O1) 1.9776 σ (C8–C9) 0.0158 0.10 1.23 0.010

The topological parameters at the critical bond point between the nuclear attractors of the intermolecular interactions are shown in Tables5 and6 for compounds DADB and DEADP. The critical bond points, as well as the bond pathways, are represented by the Crystals 2021, 11, 934 17 of 20

molecular graphs in Figures 14 and 15. The values of these parameters showed that the interactions between the molecules in the crystals of both compounds are of the closed-shell type. This means that the interactions that occurred present an electrostatic character due to the low electronic density between the nuclear regions of the molecular pairs.

Table 5. Topological properties calculated on the molecular interactions in DADB at the bond critical point.

Interaction Electronic Density, ρ(r) (a.u.) Laplacian, ∇ρ2 (a.u.) Frontal Interaction

(CO)–O ··· C11 0.023 0.037 C11–H ··· H–C11 0.027 0.062 Axial Interaction

C10–O2 ··· H–C11 0.021 0.035 O1 ··· H–C12 0.025 0.057 C8–H ··· C6 0.029 0.037 C9–H ··· H–C3 0.042 0.005 C2 ··· C3 0.030 0.025

Table 6. Topological properties calculated on the molecular interactions in DEADP at the bond critical point.

Interaction Electronic Density, ρ(r) (a.u.) Laplacian, ∇ρ2 (a.u.) Frontal Interaction

C8–H ··· H–CAR 0.017 0.034 CAR–H ··· H–CAR 0.022 0.016 CAR–H ··· O1 = C10 0.033 0.031 Axial Interaction

C11–H ··· H–C12 0.016 0.014 C10 = O1 ··· H–C8 0.021 0.045 C8–H ··· CAR 0.023 0.015 CAR ··· CAR 0.024 0.008 CAR ··· H–C8 0.013 0.011 Crystals 2021, 11, x FOR PEER REVIEW 19 of 21 C9–H ··· O1 = C10 0.020 0.037 C12–H ··· H–C11 0.015 0.021

(a) (b)

FigureFigure 14. 14. MolecularMolecular graph graph of of the the frontal frontal ( (aa)) and and axial axial ( (bb)) interactions interactions between between DADB DADB mole moleculescules in in the the crystals, crystals, where where the the orangeorange lines lines correspond correspond to to the the bond bond path, path, and and the sm smallall orange circles to the bond critical point.

(a) (b) Figure 15. Molecular graph of the frontal (a) and axial (b) interactions between DEADP molecules in the crystals, where the orange lines correspond to the bond path, and the small orange circles to the bond critical point.

4. Conclusions Theoretical calculations showed that the geometric parameters obtained for the molecules of the studied compounds differ significantly, only in the C8 and C9 atoms. The differences only occurred due to the change in their hybridizations, as was in fact expected. The different groups, aromatic and aliphatic, configure flat structures; however, both molecular structures do not. Theoretical data showed that both compounds have electronically stable molecules, and DADB is chemically more reactive than DEADP due to the presence of the double bond in their acrylate groups. The molecules of both compounds are weakly complexed in the formation of their respective crystals, so that the donor orbitals and acceptor orbitals hyperconjugate with very low second-order energy. In addition, it was possible to show that the electronic charge density in the regions where the interactions occur is of the closed-shell type, configuring a low-intensity intermolecular contact.

Crystals 2021, 11, x FOR PEER REVIEW 19 of 21

(a) (b)

CrystalsFigure2021, 1114., 934Molecular graph of the frontal (a) and axial (b) interactions between DADB molecules in the crystals, where the18 of 20 orange lines correspond to the bond path, and the small orange circles to the bond critical point.

(a) (b)

Figure 15. Molecular graphgraph ofof thethe frontal frontal ( a()a) and and axial axial (b ()b interactions) interactions between between DEADP DEADP molecules molecules in thein the crystals, crystals, where where the orangethe orange lines lines correspond correspond to the to bondthe bond path, path, and and the smallthe small orange orange circles circles to the to bondthe bond critical critical point. point.

4. ConclusionsThe frontal interaction between two DADB units is explained through two BCPs: the first,Theoretical occurs exactly calculations in the intranuclear showed that region the –C=Ogeometric··· Cparameters11; the second, obtained in the for C11 –Hthe molecules··· H–C11 ofregion. the studied These compounds two regions differ have significantly, a low electron only density in the C (<0.28 and au). C9 atoms. The axial The differencesinteraction betweenonly occurred two molecular due to units the ischange observed in throughtheir hybridizations, five BCP, all with as lowwas electronin fact expected.density. The The larger different contact groups, surface aromatic between and the aliphatic, molecules configure in the second flat structures; case increases however, the bothnumber molecular of interactions. structures In do addition, not. Theoreti the largecal data number showed of delocalized that both πcompoundselectrons in have the electronicallyregion of the aromaticstable molecules, rings contributes and DADB to theis chemically weak interaction more reactive between than the moleculesDEADP due of tothe the compound presence in of the the crystal. double Similarly, bond in the their interactions acrylate groups. between The molecules molecules observed of both in compoundsDEADP interact, are weakly as shown complexed in Figure in the13b, formatio being closed-shelln of their respectiveinteractions. crystals, Frontal so that contact the donorbetween orbitals two molecules and acceptor results orbitals in an hyperconjugate interaction involving with very three low BCP. second-order The results showedenergy. ··· ··· Inthat addition, the electron it was density possible in to the show intranuclear that the electronic regions C charge8–H densityH–CAR in,C theAR –HregionsH–C whereAR ··· theand CinteractionsAR–H O 1occur=C10 are is low,of accordingthe closed-shell to the values type, presented configuring in Table a 6.low-intensity The axial interaction between two molecules in the crystals of this compound is intermolecular contact. observed by several BCP, whose electron density is similarly low among nuclear attractors

(Table6). In this last contact, the interaction takes place at various points in the molecules due to the large contact surface. Therefore, the molecules of DADB and DEADP, interact in their respective crystals through low-intensity intermolecular forces.

4. Conclusions Theoretical calculations showed that the geometric parameters obtained for the molecules of the studied compounds differ significantly, only in the C8 and C9 atoms. The differences only occurred due to the change in their hybridizations, as was in fact expected. The different groups, aromatic and aliphatic, configure flat structures; however, both molecular structures do not. Theoretical data showed that both compounds have elec- tronically stable molecules, and DADB is chemically more reactive than DEADP due to the presence of the double bond in their acrylate groups. The molecules of both compounds are weakly complexed in the formation of their respective crystals, so that the donor orbitals and acceptor orbitals hyperconjugate with very low second-order energy. In addition, it was possible to show that the electronic charge density in the regions where the interactions occur is of the closed-shell type, configuring a low-intensity intermolecular contact. Crystals 2021, 11, 934 19 of 20

Author Contributions: Conceptualization, R.F.C., M.S.O., P.D.M., A.J.C., S.S.O. and H.B.N.; method- ology, M.S.O., P.D.M., A.J.C., S.S.O. and H.B.N.; software, R.F.C., M.S.O., A.S.N.A., J.M.F.C., A.J.C.; validation, P.D.M., J.R.S., and L.G.S.; formal analysis, G.V.V., J.C.P.d.S. and I.C.B.; nvestigation, R.F.C., M.S.O., A.S.N.A. and J.M.F.C.; resources, R.F.C., M.S.O., S.S.O. and H.B.N.; data curation, A.S.N.A., J.R.S. and L.G.S.; writing—original draft preparation, R.F.C., S.S.O. and H.B.N.; writing—review and editing, S.S.O. and H.B.N.; visualization, A.S.N.A., J.R.S. and L.G.S.; supervision, S.S.O. and H.B.N.; project administration, G.V.V., J.C.P.d.S. and I.C.B.; funding acquisition, R.F.C. and M.S.O. All authors have read and agreed to the published version of the manuscript. Funding: This research was funded by Conselho Nacional de Desenvolvimento Científico e Tec- nológico (CNPq), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP). Acknowledgments: The authors gratefully acknowledge the financial support of the CNPq and CAPES. Also, we thank FAPESP—P.D.M. n◦ 2012/12663-1, CEPID Redoxoma—P.D.M., M.H.G.M. n◦ 2013/07937-8, CNPq—P.D.M. n◦ 302120/2018-1, M.H.G.M. n◦ 301404/2016-0; Pro-Reitoria de Pesquisa da Universidade de São Paulo—NAP (Redoxoma—P.D.M., M.H.G.M. n◦ 2011.1.9352.1.8) and John Simon Guggenheim Memorial Foundation (P.D.M. Fellowship) for financial support. CNPq Universal no 448297/2014-0. M.S.O. is a fellow of UEG/CAPES n◦ 817164/2015 and IF Goiano Campus Rio Verde/CAPES n◦ 88887.342460/2019-00. H.B.N. is a fellow of CNPq. Conflicts of Interest: The authors declare no conflict of interest.

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