Energetic and structural analysis of complexes
The PM7 calculation was established for models A and B to control the complexation energy during the inclusion process of DMT in the β-CD cavity from − 7 to + 7 to identify global minimums energy.
Figure 2 shows the variation of the complexation energy (ΔE) during the inclusion process of both models as A and B are a function of the Z distance. These results indicate that the complexation energy values are negative, implying that the DMT@ β -CD produced complexes are energetically favorable [56, 57]. For both A and B orientations, the global minimums of the most stable structures are situated at Z = -2Å.
From Fig. 3, it can be seen that the complexation energy values obtained are − 42.86 kcal/mol and − 44kcal/mol for orientations A and B respectively.
According to PM7 calculations evaluating the complexation energies show that orientation B gives rise to the conformer which is more stable by 1.14 kcal/mol than that corresponding to orientation A.
The calculated complexation and interaction energies in gas and aqueous phases with the functional CAM-B3LYP for Orientations A and B are provided in Table 1.
However, orientation B provides the most significant values of E encapsulation. Aqueous phase interaction energies lend support to gas phase interaction energies. Compared to orientation A, orientation B has stronger negative energy. Additionally, we can see that the interaction energy difference in the gas and aqueous phases, respectively, is 1.48 kcal/mol and 8.708 kcal/mol, supporting the stability of orientation B.
The results also revealed that the ΔEinteraction energy of the β-CD molecule with functional CAM-B3LYP 6-31G (d, p) is higher than that of the DMT molecule in the two orientations A and B. Einteraction is a crucial measure in assessing the stability of inclusion complexes.
In addition, ΔEinteraction is an important parameter measuring the stability of inclusion complexes; the results reveal that the deformation energy of the β-CD molecule with functional CAM-B3LYP 6-31G (d, p) is higher than that of the DMT molecule in the two orientations. This interaction energy demonstrates that the -CD structure's flexibility is crucial for increasing intermolecular interaction and the entire system’s stability after complexation.
Table1 The complexation energies computed in gas and in aqueous phases with the functional CAM-B3LYP for A and B orientations.
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)
Figure 4 shows the favorable structures of the lowest energy conformers obtained in the water and gas phase using the CAM-B3LYP functional. It is clear from the structures that the DMT molecule is completely encapsulated in the β-CD cavity, when the intermolecular hydrogen bonds (HBs) in both structures control the stabilization between the two orientations, A and B, in different phases.
Electronic Properties
TD-DFT analysis
The UV–Vis spectra are obtained using the DTDFT method with CAM-B3LYP functional and 6-31G(d,p) basis set in water, to identify variation electron transitions [58]. The absorption wavelength, the oscillator strength (f), and minor and major orbital contributions, as well as their predicted energies (E), have been reproduced and shown in Fig. 5.
The HOMO and LUMO orbitals of the two orientations are entirely localized on the DMT. These results revealed that encapsulation does not change the guest molecule's charge distribution.
Table 2 shows that the absorption spectra of free DMT have three absorption bands located at 226.33, 212.93, and 201.51 nm, corresponding to transition energies of 5.48, 5.82, and 6.15 eV respectively. These peaks mainly originated due to electronic transition from HOMO-3→ LUMO (47.17%), HOMO→ LUMO + 1(57.29%), and HOMO → LUMO 51.83%.
Both orientations' UV-vis absorbance after complexation with β-CD differs from that of free DMT. It has been proposed that these variations in the absorption bands are generated by conformational changes in the structure of DMT that occur when the inclusion complex with β-CD is formed.
Both orientations' UV–vis absorbance changes after complexation with β-CD. Variations in absorption bands may be due to conformational changes in DMT during inclusion complex formation with β -CD.
Table 2 Absorption peak (λ), the predicted energies (E), oscillators strength (f), and contribution of orbital in water for the two orientations A and B
![](data:image/png;base64,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)
Molecular Reactivity Analyses
The HOMO and LUMO are crucial chemical indicators largely used in this investigation. The maximum electronic charge (ΔN), electronic potential (µ), hardness (η), and global electrophilicity index (ω) as global indies of reactivity are calculated using the following equations [59–61]:
µ = 1 / 2 (EHOMO+ELUMO) (4)
η = 1 / 2 ( EHOMO - ELUMO ) (5)
ω =µ2 / 2 η (6)
ECT=( 𝛥N max )host -( 𝛥N max )guest (7)
Where 𝛥N(MAX)host or guest = (-µ/ η) host or guest
The computed HOMO and LUMO energies and reactivity parameters of inclusion complexes in the gas phase and water calculated at CAM-B3LYP /6–G (d, p) are gathered in Table 3.
Table 3
HOMO, LUMO, gap (EHOMO-ELUMO), and the chemical reactive descriptors at the CAM- B3LYP /6–31 G (d,p) level calculations
|
DMT
|
β-CD
|
Orientation A
|
Orientation B
|
In gas / in water
|
HOMO (eV)
|
-8.19/ -8.38
|
-8.7 / -8.7
|
-8.299/ -8.381
|
-8.217/ -8.35
|
LUMO (eV)
|
1.06/ 0.979
|
2.45/ 2.748
|
0.952/ 0.925
|
0.517/ 0.571
|
gap (ELUMO-E HOMO)(eV)
|
9.25/ 9.36
|
11.15/ 11.45
|
9.25/9.31
|
8.73/ 9.321
|
µ(eV)
|
− 3.56/- 3.70
|
-3.129/- 2.966
|
-3.74/ -3.728
|
-4.35/ -3.89
|
η(eV)
|
4.625/ 4.680
|
5.578/ 5.714
|
4.489/ 4.62
|
4.354/ 4.490
|
ω(eV)
|
1.36/ 1.44
|
0.87/ 0.7619
|
1.55/ 1.496
|
2.17/ 1.687
|
𝛥N (MAX)
|
22.31/21.49
|
15.238/14.15
|
-
|
-
|
ECT
|
-
|
-
|
-7.07/-7.347
|
-7.07/-7.347
|
From Table 3, we noticed that t the HOMO-LUMO energy gap value in the water phase is 8.73 eV for Orientation A and 9.32 eV for Orientation B. The value of (EHOMO- ELUMO) gap for orientation B is higher than that of Orientation A, which indicates that Orientation B gives rise to a more stable complex than that of Orientation A. This result and the calculated binding energy are in good agreement.
The chemical potential of both orientations is negative, leading to a spontaneous inclusion process is spontaneous. µfree guest ˃µfree host; this indicates that the direction of the charge transfer associated with the creation of the inclusion complex is from DMT to β-C. We observed that the most significant value of chemical hardness (η) for model A is 4.62 eV in water; which is comparable to that of Orientation B (4.49 eV), indicating that the charge transfer in orientation B is significant. Additionally, compared to Orientation A, Orientation B exhibits a higher global electrophilicity index (ECT) value, indicating that charge transfer happens from the host to the guest. The result shows that orientation B corresponds to the most electrophilic complex.
Non Covalent Intermolecular Interactions
Natural bond orbital (NBO) analysis
The natural bonding orbital (NBO) analysis was obtained by means of the Gaussian 09 package at the CAM-B3LYP/6-31G(d, p) level [62–67].
These non-covalent interactions, in this case, result in the delocalization of electron density from a MO donor to a MO acceptor. They are described by second-order micro perturbations E(2) theory.
For each pair i (donor) and j (acceptor) the stabilization energy E(2) accompanying delocalization i→j is well defined in the literature [68, 69], which is given by the Eq. (8).
$${{E}}^{\left(2\right)}={{q}}_{{i}}{{F}}_{\left(i, j\right)}^{2}/({e}_{i}-{e}_{j})$$
8
qi is the donor orbital occupancy, εi and εj are diagonal elements, and F(i,j) is the off-diagonal NBO Fock matrix elements.
The stabilization energy E(2)and bond length related to the most considerable interactions for complexes B identified by the CAM-B3LYP/6–31 G (d, p) method for B orientation in both gas and water phase are summarized in Table 4.
According to the results grouped in Table 4, two different classes of categories exist weak hydrogen formed between (LP) and (BD*) and Van der Waals interaction created between the (BD) and (BD*).
The higher stabilization second-order perturbation energy E(2) is 1.28 kcal/mol, associated with high donor-acceptor interaction corresponding to hydrogen bond length of 1.83 Å.
Accordingly, NBO calculations highlight the hydrogen bonds contribution sustaining the host-guest reaction and maintaining stability.
Table 4 NBO analysis of the second-order perturbation energies E(2) (Kcal/mol) of the hydrogen bond with CAM-B3LYP/6-31 G (d, p) for the B model
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)
BD denotes σ bonding orbital; DB* denotes σ* antibonding orbital, and LP corresponds to a lone pair.
BD denotes σ bonding orbital; DB* denotes σ* antibonding orbital, and LP corresponds to a lone pair.
Quantum Theory Of Atoms In Molecules (Qtaim)
The QTAIM analysis plays a crucial role in identifying intra- and intermolecular interactions. Quantum mechanical parameters such as electron density at the bond critical points (BBCPs) are used to determine the nature of host-guest interactions and classify bonding interactions [70].
The main topological parameters to define the properties of critical bond point BCPs are the total electron density ρ(r) and its Laplacian ∇2ρ(r) [71–73].
In accord Bader's theory, the electron density ρ(r) and its Laplacian ∇2 ρ(r) should be positive at the H bond's critical points (+ 3, 1) and ranging from 0.002to 0.04 and from 0.024 to 0.139 for ρ(r) and ∇2ρ(r) respectively (Fig. 6) [74].
The intermolecular bonding in the DMT@β -CD inclusion complexes is featured by the topological parameters: electron density (ρ), Laplacian of the electron density (∇2ρ), kinetic energy densities G(r), the potential V(r), local electron energy densities H(r), the ratio of local gradient -G(R)/V(R), the bond energy E (E bond = V(r)/2) and eigenvalues (ʎi) of Hessian (a.u) and ellipticity index ε (ε = λ1/λ2 − 1) propounded by Espinosa [75].
Thus, Table 5 collects the QTAIM characterizing parameters of the (3, − 1) critical points of the DMT@β-CD complex. The QTAIM molecular graphs representing orientations B are illustrated inFig.5.
The results gathered in Table 5, of the QTAIM calculation of model B using the CAM-B3LYP 6-31G(d, p) functional in gas and water shows an interaction between Dimethoate and β -CD through an H-bond.
As reported by Rozas et al. [76, 77], the interactions can be classified in accord with three types: (i), ∇2ρ(r) < 0 and H(r) < 0 are characteristics of strong covalent H bonds;(ii), medium H bonds with partial covalence are defined by ∇2ρ(r) > 0 and H(r) < 0, and (iii) the weak H bonds which are mainly of electrostatic when∇2ρ(r) > 0 and H(r) > 0.
From CAM-B3LYP 6-31G(d, p) results, ρ (r) values, vary from 0.001 to 0.03 a.u and 0.001 to 0.029 a.u respectively for gas and water, while Laplacian ∇2ρ(r) values are in the range 0.004- 0.094in gas and 0.0059 to 0.096a.u in water.
The results of ρ (r) in the gas phase and water showed values in the range of 0.001 to 0.03 a.u and of 0.001 to 0.029 a.u, respectively, with the corresponding Laplacian ∇2ρ(r) varying between 0.004 and 0.094 a.u in the gas phase and 0.0059 and 0.096 a.u in water.
However, stronger hydrogen bonding O153—H144 is observed with the lowest intermolecular distance of 1.83Ǻ in the gas and aqueous phase and the maximum electron density ρ(r) and Laplacian ∇2ρ(r).
The ellipticity values for the intermolecular bonding of the DMT@β-CD complex range from 0.002 to 1.23 a.u in gas and from 0.02 to 0.23a.u in water, indicating stable contact between the host and guest[78].
All calculated ∇2ρ(r) and H(r) values are positive, indicating the presence of weak electrostatic interactions and the calculated ratio of -G(r)/V(r) is > 1, relative to significant interactions of the non-covalent character.
The topological parameters Table 5 in the gas phase and water, display all H(r) values are positive and ∇2ρ(r) are all small positive values implying weak interaction mainly of electrostatic. Besides, the ratio of–G(r)/V(r) is > 1 for the complex, supporting the existence of weak intermolecular bonding. The Table 5 bond energy (E) values show that the principal molecular interaction in the gas phase or water is detected for O153—H144 with − 0.011 kcal/mol.
The result of ʎ1, ʎ2, and ʎ3, corresponding to the Hessian eigenvalues of the electron density at BCP, indicates that ʎ1˂ ʎ2 ˂ ʎ3, the sum of negative curvatures (ʎ1 + ʎ2) as well as the positive, while (ʎ3) decreases with H⋯O distances.
This result shows that the electron density increase in the plane perpendicular to the bond path occurs concurrently with electron density depletion along the bond path. Lower ellipticity index values demonstrate that electrons are delocalized through the associated atoms.
The QTAIM results show that van der Waals interactions and weak hydrogen bonds are the chief factors influencing the complex's stability.
Table 5 Topological parameters computed by QTAIM for model B of DMT@β-CD complex
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G(r)
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V(r)
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H(r)
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-G(r)/V(r)
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EHB
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In aqueous phase
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110(H ) -- 152(O)
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2.518
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0.00903
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0.0298
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-0.0092
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-0.00858
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0.047
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0.0738
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0.00686
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-0.00626
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0.00059
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1.096
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-0.0031
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102(H ) -- 160(H )
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2.778
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0.00184
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0.0059
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-0.00139
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-0.00129
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0.0086
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0.0801
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0.0010
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-0.00065
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0.0004
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1.5386
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-0.0003
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66(O ) -- 162(H )
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2.39
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0.0099
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0.0312
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-0.011
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-0.010
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0.05
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0.0335
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0.0075
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0.0073
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0.0002
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1.0276
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-0.0036
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100(H ) -- 154(N )
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2.958
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0.004
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0.015
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-0.004
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-0.002
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0.022
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0.548
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0.003
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-0.002
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0.0008
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1.5
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-0.001
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59(O ) -- 169(H )
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2.712
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0.006
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0.021
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-0.0059
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-0.005
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0.0326
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0.0667
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0.004
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-0.003
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0.0008
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1.33
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-0.0015
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161(H ) -- 90(H )
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2.754
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0.002
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0.0064
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-0.0015
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-0.0014
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0.0094
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0.1025
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0.0011
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-0.0007
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0.0004
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1.571
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-0.0003
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170(H ) -- 75(O )
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2.678
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0.0063
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0.0216
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-0.006
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-0.006
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0.034
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0.051
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0.0046
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-0.0039
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0.0007
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1.179
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-0.0019
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153(O ) -- 121(H )
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2.499
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0.0099
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0.0329
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-0.0094
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-0.0077
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0.050
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0.233
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0.0075
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-0.0067
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0.00075
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1.119
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-0.0033
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153(O ) -- 144(H )
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1.827
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0.0299
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0.096
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-0.0411
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-0.0403
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0.1776
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0.0199
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0.0231
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-0.0222
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0.00087
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1.040
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-0.0111
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153(O ) -- 81(H )
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2.723
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0.0055
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0.0198
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-0.0049
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-0.0046
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0.029
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0.0632
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0.0041
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-0.0033
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0.00079
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1.242
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-0.001
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In gas phase
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102(H ) -- 160(H )
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2.98
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0.0013
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0.0040
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-0.00090
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-0.00071
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-0.71
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0.0026
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0.0072
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-0.0045
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0.00027
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1.6
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-0.0022
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59(O ) -- 169(H )
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2.75
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0.0056
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0.0197
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-0.0054
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-0.005
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0.03
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0.0776
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0.0041
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-0.0033
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0.0008
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1.242
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-0.0016
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100(H ) -- 154(N )
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2.95
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0.00479
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0.0145
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-0.0040
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-0.0029
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0.021
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0.3823
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0.00298
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-0.0023
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0.00064
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1.2956
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-0.0011
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107(H ) -- 169(H )
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2.85
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0.0024
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0.00791
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-0.0015
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-0.00108
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0.0105
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0.3973
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0.00149
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-0.001
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0.00047
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1.49
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-0.0005
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161(H ) -- 90(H )
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2.679
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0.0025
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0.0081
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-0.0020
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-0.00178
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0.0119
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0.1313
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0.00149
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-0.0009
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0.00053
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1.5684
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-0.00047
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157(C ) -- 52(H )
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2.98
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0.0040
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0.0156
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-0.0021
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-0.00096
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0.0187
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1.231
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0.00296
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-0.0020
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0.00095
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1.48
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-0.001
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170(H ) -- 75(O )
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2.49
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0.0093
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0.029
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-0.00984
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-0.00925
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0.0483
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0.0637
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0.0068
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-0.0064
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0.00046
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1.064
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-0.00319
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153(O ) -- 121(H )
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2.569
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0.0087
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0.0296
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-0.008
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-0.0061
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0.0438
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0.303
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0.0065
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-0.0056
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0.00086
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1.1607
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-0.0028
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164(H ) -- 47(O )
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2.25
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0.015
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0.0436
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-0.0176
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-0.0166
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0.0779
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0.064
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0.0112
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-0.0115
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-0.0003
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0.974
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-0.0057
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153(O ) -- 144(H )
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1.835
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0.0292
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0.094
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-0.040
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-0.0389
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0.173
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0.03
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0.0227
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-0.0218
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0.00088
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1.041
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-0.0109
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153(O ) -- 81(H )
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2.655
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0.00638
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0.022
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-0.0059
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-0.0056
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0.0337
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0.049
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0.0047
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-0.004
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0.00077
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1.175
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-0.002
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Hydrogen bond distance, topological parameters in (au): electron density ρ(r), Laplacian of electron density ∇2 ρ(r). Energetic topological parameters in (kcal/mol): electron kinetic energy density G (r), electron potential energy density V (r), total electron energy density H (r).
NCI- RDG analysis
In order to identify hydrogen bonds, van der Waals contacts, and repulsive steric interactions between host and guest in the formed complex, the non-covalent interaction (NCI) via a reduced density gradient (RDG) was employed [79, 80].
The equation that describes the RDG approach is as follows [79]:
RDG(r) = 1|∇ρ(r)|/ 2(3π2)1/3ρ(r)4/3 (9)
Consider Fig. 7a, which plots RDG against sign (λ2) ρ; the sign (λ2) value can be used to indicate the type of interaction; for example, sign (λ2) > 0 indicates a repulsive interaction, while sign (λ2) < 0 indicates an attractive interaction, such as hydrogen bonds.
It is observed that van der Waals interactions are ranged from − 0.018 to 0.005 a.u and are shown with a green spot; the hydrogen bonding interactions are illustrated with a blue spot and located between − 0.05 and − 0.02 a.u. The red spot indicates the repulsive steric forces.
From the 3D spatial NCI isosurface diagram (Fig. 7b), we can see that there are critical green patches in the region between DMT and β-CD related to van der Waals interactions, indicating that the guest forms a stable inclusion complex with the host. Besides, a blue patch represents the strong hydrogen bonding interactions and red spots represent the repulsive steric forces.
IGM analysis
The independent gradient model (IGM) quantifies the intermolecular interactions between DMT and β-CD to determine their nature, which can be supplied by δginter and δgintra [81].
Figure 8 illustrates the IGM isosurfaces of δginter and δgintra versus sign(λ2) ρ (for DMT@β-CD studied complex. The resulting 2-D scatter plot shows that red points correspond to δginter, while black points represent δgintra.
Figure 8, with the most intense black peak appearing on the negative side at sign(λ2)ρ =-0.28 with δginter of 0.392 au. Van der Waals interactions can be seen in the region where sign(λ2)ρ=-0.04, with δginter of approximately 0.056 au corresponding at the second less intense peak. In contrast, the positive side of the sign(λ2)ρ peak lies in the range of 0.04 to 2.00 with δginter = 0.168au, indicating a repulsive interaction.
The 3-D IGM isosurface map for encapsulated complexes is depicted in Fig. 8. The green-colored regions represent weak van der Waals interactions, whereas blue regions denote stronger electrostatic attraction. The results show that the DMT@β-CD complex is stabilized by hydrogen bonds and van der Waals interactions. From these results, it can be concluded that there are intermolecular hydrogen bonds, and the IGM analysis is in good agreement with the QTAIM results.
Energy decomposition analysis (EDA)
To highlight and evaluate the hydrogen bonding between DMT and β-CD in gas and aqueous phases, the Morokuma and Ziegler-Rauk energy decomposition analysis (EDA) [83–85] was applied, which was widely used previously [86–93]. Thus, the EDA using the hybrid B3LYP-D3 functional gives rise to the resulting interaction energy ΔEint which is decomposed into four terms of energy as given below: the electrostatic interaction ΔEelstat which is an attractive interaction, the Pauli interaction ΔEPauli that exhibits a repulsive interaction, the orbital interaction ΔEorb as an attractive term refers to the charge transfer between the occupied orbitals and the unoccupied orbitals of the two fragments and finally ΔEdisp corresponding to the Grimme dispersion correction term.
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)
The ∆Eint energies gathered in the Table 6 are negative indicating stabilization effects of these interactions. The analysis of the results shows that the interaction energy of -43.88 kcal/mol in gas phase is upper than that obtained in water phase of -70.2 kcal/mol. The divergence between the two values comes essentially from the ΔEPauli, ΔEelstat and ΔEorb contributions into the ∆Eint total interaction energy, where the former is considerably weakened, whereas the two later terms are substantially strengthened (increased absolute values) as summarized in Table 6. Indeed, the ΔEorb goes up from 20 to 35% and increases from 4à to 44%. Besides, the contribution is not influenced by the change middle − 34.73 vs -33.88 kcal/mol. The ΔEdisp relative to the hydrogen interactions contributes by 39.12% in gas and 31.77% in water into the total interaction energy. Thus, put emphasis on strong hydrogen interaction type between DMT and β-CD.
The ΔEPauli energy identifies the steric repulsion between the fragments. However, in Table 6, the ΔEPauli energies of the complex ranging from 44.90 to 39.85 kcal/mol in gas and water, respectively, which are compensated by the sum of the electrostatic, the orbital and dispersion stabilization terms, however, this destabilization is reduced in the presence of water.
Table 6
Energetic contribution from an energy decomposition analysis
|
2B( gas)
|
2B (water)
|
ΔEbonding
|
-43.88
|
-70.91
|
ΔEpauli
|
44.90
|
36.85
|
ΔEelestat
|
-35.99
|
-48.03
|
ΔE orb
|
-18.06
|
-25.85
|
ΔE disp
|
-34.73
|
-33.88
|
ΔE orb (%)
|
20.34
|
23.99
|
ΔE elestat (%)
|
40.54
|
44.57
|
ΔE disp (%)
|
39.12
|
31.44
|