Abstract
Global density functional descriptors analysis on a series of chloro- and fluoropyrroles provide vital data concerning their overall biochemical activities. In this study, a comprehensive investigation is presented for a series of chloro- and fluoropyrroles using DFT-based descriptors to elucidate physicochemical properties and their relevance to reactivity, charge transfer, site selectivity, and toxicity. Electrophilicity-based charge transfer (ECT) descriptor reveals the fact that chloro- and fluoropyrroles act as electron donors during their interaction with DNA bases. The local descriptor, namely, multiphilic descriptor conveys the activeness of specific sites in chloro- and fluoropyrroles. Further, Toxicity Prediction Komputer Assisted Technology (TOPKAT) studies on carcinogenicity bioassays using four rodent models provide the interesting fact that chloro- and fluoropyrroles exhibit a strong skin sensitization effect in these species.
1. Introduction
Global and local activities of molecules were analyzed in detail with density functional (DF) descriptors, viz., chemical hardness, chemical potential, electrophilicity index, Fukui functions (FF), and local philicities.1−3 Computational analysis has been utilized to study the properties of known materials and to foresee those of yet unidentified ones.4−6 The importance of electrophilicity index in reactivity and structure-based activity/toxicity studies has been extensively deliberated.7−10 Recently, the importance of nucleic acid (NA)-based interaction studies to model bioactivity and toxicity has been effectively explained using QSAR and structural descriptors.11
Pyrrole derivatives are nitrogen-containing heterocyclic compounds with a five-membered ring that are extensively found in a variety of natural and synthetic chemicals with useful bioactivities. Pyrrole derivatives have been used in a variety of applications, pharmaceutics,12−14 antibacterial,15−17 antiviral,18,19 anti-inflammatory,20−22 analgesic,23 anticancer,24,25 antihyperlipidemic,26 and antihyperglycemic medicines,27,28 in addition to their biological action.
Several biologically active compounds with useful properties such as antipsychotic, anticancer, and antimalarial were obtained with various pharmacophores combination in a pyrrole ring system.29 Direct functionalization on electron-rich heteroaromatic compound, namely, the pyrroles via catalytic and noncatalytic methods were presented in a recent review.30 The possibility of developing densely functionalized pyrroles from inexpensive and commonly obtainable carbohydrates has been discussed.31
Polypyrrole (PPy) has drawn distinct attention due to its conductivity and other prospective applications.32,33 The electrical conductivity of PPy is due to charge transport as well as the leaping of carriers.34−36 Hence, study of monomers, which are the building blocks of these polymers, has become an interesting research field. It is fascinating to note that the pyrrole fragment is a part of many biotic systems.37 They are also important components in the production of alkaloids and artificial heterocycles.38 Greater attention has been directed toward the production and application of pyrrole derivatives as dyes.39 Furthermore, pyrroles have been claimed to be used in organic semiconductors.40,41 Immunogenicity levels of PPy-based materials have been reported to be equivalent to those of other FDA-approved biomaterials.42 As a result, researchers have used PPy-containing composites to regenerate electroactive tissues as an alternative to conventional treatments for clinical disorders. Biocompatible polypyrrole (PPy) can be chemically modified to facilitate biomolecule conjugation. Access to this class of chemicals has received a lot of research interest because of their wide range of applications. Recently, electronic, structural, and other related properties of chlorine-substituted pyrroles (CPy) and fluorine-substituted pyrroles (FPy) were studied using DFT-based investigation.43,44
In the present work, efforts have been made to probe the energetics, global reactivity, charge transfer, and site selectivity of a series of chloro- and fluoropyrroles using various DF descriptors that is important to understand and predict the toxicity of these compounds. Such work has not been attempted on the selected series of compounds in any of the known previous studies. Further, for the first time, the utility of the TOPKAT (Toxicity Prediction Komputer Assisted Technology)45−48 NTP (National Toxicology Program) carcinogenicity module for the selected molecules has been evaluated by determining the system’s ability to predict the results of rodent carcinogenicity bioassays.
2. Theoretical Background
Chemical potential (μ) and hardness (η) are given49−51 as
| 1 |
and
| 2 |
where ELUMO and EHOMO are the energies of the lowest unoccupied molecular orbital and the highest occupied molecular orbital, respectively.
Fukui functions in the condensed form are defined as52
![]() |
3 |
where qk(N), qk(N + 1), and qk(N– 1) are the electronic population of the N, N + 1, and N – 1 electron systems, respectively, and fk+, fk–, and fk0 are condensed-to-atom Fukui functions for the nucleophilic, electrophilic, and radical attacks, respectively.
Index of electrophilicity, ω, is defined by53
| 4 |
A multiphilic descriptor is known by54
| 5 |
The fractional number of electrons, transferred from system A to system B, represented by the global interaction parameter ΔN is given by55
| 6 |
where μA, μB and ηA, ηB are the chemical potentials and chemical hardness of systems A and B, respectively.
The maximum electronic charge ΔNmax53
| 7 |
where X =1/ χ, with χ (= –μ) being the electronegativity of the system.
Electrophilicity-based charge transfer (ECT) is specified by56
| 8 |
3. Results and Discussion
The numberings of the atom for the selected optimized pyrroles are displayed in Figures 1 and 2.
Figure 1.
Optimized structures of chloropyrroles with atom specification.
Figure 2.
Optimized structures of fluoropyrroles with atom specification.
3.1. Energetics of Chloro- and Fluoropyrroles
The energies and thermodynamic (enthalpy H) parameters of all chloropyrroles alongside pyrrole are exhibited (Table 1). The relative energies are calculated separately for mono-, di-, tri-, and tetra-substitutions. The relative energy ΔE represents the extent of molecular stability. 3-CPy showed better stability than 2-CPy with a 0.51 kcal/mol energy difference. Among dichloropyrroles, 2,3-C2Py is 0.76 kcal/mol less stable than 2,4-C2Py. Similarly, 2,3,5-C3Py is the most stable isomer and 2,3,4-C3Py is the least stable isomer among trichloropyrrole with an energy difference of 0.35 kcal/mol.
Table 1. Energetics of Pyrrole and Chloropyrroles Calculated with the B3LYP/6–311++G** Methoda.
| molecule | energy, E (hartree) | zero-point energy, ZPE (kcal/mol) | ΔE | ΔE0 | enthalpy, H (hartree) | ΔH |
|---|---|---|---|---|---|---|
| pyrrole | –210.23058 | 51.56 | –210.14349 | |||
| 2-CPy | –669.84952 | 45.68 | 0.51 | 0.42 | –669.77069 | 0.43 |
| 3-CPy | –669.85034 | 45.78 | 0.00 | 0.00 | –669.77138 | 0.00 |
| 2,3-C2Py | –1129.46697 | 39.88 | 0.76 | 0.87 | –1129.39620 | 0.85 |
| 2,4-C2Py | –1129.46818 | 39.77 | 0.00 | 0.00 | –1129.39756 | 0.00 |
| 2,5-C2Py | –1129.46719 | 39.70 | 0.62 | 0.55 | –1129.39665 | 0.57 |
| 3,4-C2Py | –1129.46717 | 39.96 | 0.64 | 0.82 | –1129.39632 | 0.78 |
| 2,3,4-C3Py | –1589.08314 | 33.94 | 0.35 | 0.48 | –1589.02056 | 0.45 |
| 2,3,5-C3Py | –1589.08369 | 33.81 | 0.00 | 0.00 | –1589.02127 | 0.00 |
| 2,3,4,5-C4Py | –2048.69809 | 27.89 | –2048.64374 |
Relative energy (ΔE), relative energy including ZPE (ΔE0), and relative enthalpy (ΔH) are in kcal/mol.
The calculated energies and thermodynamic measure (enthalpy) of all fluoropyrroles are presented in Table 2. For monofluoropyrroles, the stability of 2-FPy is higher than 3-FPy by 0.16 kcal/mol. For difluoropyrroles, 3.05 kcal/mol is the difference in energy between the most (2,4-F2Py) and least (3,4-C2Py) stable isomers. Similarly, 2,3,5-F3Py is the most stable isomer and 2,3,4-F3Py is the least stable isomer among trifluoropyrrole with an energy difference of 1.92 kcal/mol.
Table 2. Energetics of Fluoropyrroles Calculated with the B3LYP/6–311++G** Methoda.
| molecule | energy, E (hartree) | zero-point energy, ZPE (kcal/mol) | ΔE | ΔE0 | enthalpy, H (hartree) | ΔH |
|---|---|---|---|---|---|---|
| 2-FPy | –309.49151 | 46.44 | 0.00 | 0.00 | –309.41177 | 0.00 |
| 3-FPy | –309.49125 | 46.52 | 0.16 | 0.24 | –309.41141 | 0.22 |
| 2,3-F2Py | –408.74667 | 41.44 | 3.04 | 3.14 | –408.67402 | 3.15 |
| 2,4-F2Py | –408.75152 | 41.34 | 0.00 | 0.00 | –408.67904 | 0.00 |
| 2,5-F2Py | –408.75053 | 41.31 | 0.62 | 0.60 | –408.67807 | 0.61 |
| 3,4-F2Py | –408.74665 | 41.55 | 3.05 | 3.27 | –408.67387 | 3.25 |
| 2,3,4-F3Py | –508.00153 | 36.33 | 1.92 | 2.06 | –507.93599 | 2.04 |
| 2,3,5-F3Py | –508.00458 | 36.19 | 0.00 | 0.00 | –507.93924 | 0.00 |
| 2,3,4,5-F4Py | –607.25370 | 31.20 | –607.19527 |
Relative energy (ΔE), relative energy including ZPE (ΔE0), and relative enthalpy (ΔH) are in kcal/mol.
Further, the thermodynamic parameters H and ΔH for chloropyrroles and fluoropyrroles vary in a similar trend to E and ΔE, respectively. These parameters are useful in explaining the molecular features of chloro- and fluoropyrroles in the gas phase. The lower values for relative energy (ΔE) and enthalpy (ΔH) for the isomers of CPy are an indication of the fact that they are closer in their stability and thermodynamic property.
3.2. Global Descriptors of Chloro- and Fluoropyrroles
The estimated values of global reactivity descriptors for pyrrole and chloropyrroles are represented in Table 3 and 4. Figure 3a illustrates the plot of ω versus χ of pyrrole and chloropyrroles.
Table 3. Global Parameters (in au) Calculated from the B3LYP/6–311++G ** Method for Chloropyrroles.
| molecule | chemical potential (μ) | chemical hardness (η) | electrophilicity index (ω) |
|---|---|---|---|
| pyrrole | –0.1154 | 0.1031 | 0.0646 |
| 2-CPy | –0.1180 | 0.1043 | 0.0667 |
| 3-CPy | –0.1234 | 0.1040 | 0.0732 |
| 2,3-C2Py | –0.1248 | 0.1043 | 0.0747 |
| 2,4-C2Py | –0.1254 | 0.1054 | 0.0746 |
| 2,5-C2Py | –0.1192 | 0.1061 | 0.0670 |
| 3,4-C2Py | –0.1315 | 0.1049 | 0.0824 |
| 2,3,4-C3Py | –0.1329 | 0.1039 | 0.0850 |
| 2,3,5-C3Py | –0.1285 | 0.1032 | 0.0800 |
| 2,3,4,5-C4Py | –0.1384 | 0.0985 | 0.0972 |
| adenine | –0.1469 | 0.0994 | 0.1085 |
| thymine | –0.1574 | 0.0996 | 0.1244 |
| guanine | –0.1368 | 0.0929 | 0.1007 |
| cytosine | –0.1477 | 0.0973 | 0.1120 |
Table 4. Global Parameters (in au) Calculated from the B3LYP/6–311++G** Method for Fluoropyrroles.
| molecule | chemical potential (μ) | chemical hardness (η) | electrophilicity index (ω) |
|---|---|---|---|
| 2-FPy | –0.1170 | 0.1044 | 0.0656 |
| 3-FPy | –0.1219 | 0.1047 | 0.0710 |
| 2,3-F2Py | –0.1231 | 0.1056 | 0.0718 |
| 2,4-F2Py | –0.1233 | 0.1066 | 0.0713 |
| 2,5-F2Py | –0.1185 | 0.1062 | 0.0661 |
| 3,4-F2Py | –0.1302 | 0.1072 | 0.0791 |
| 2,3,4-F3Py | –0.1309 | 0.1083 | 0.0791 |
| 2,3,5-F3Py | –0.1247 | 0.1073 | 0.0725 |
| 2,3,4,5-F4Py | –0.1359 | 0.1057 | 0.0874 |
Figure 3.
(a, b) Plots between global parameters electrophilicity index (au) and electronegativity (au) for chloropyrroles showing a high correlation (r) value of 0.987.
A direct proportionality between the values of ω and χ is observed; ω and χ increase with an increase in the number of Cl addition with the exception of 2,5-C2Py and 2,3,5-C3Py showing a slight drop in their values. The values of ω and χ are minimal for pyrrole (least reactive) and maximal for 2,3,4,5-C4Py (highly reactive). 2,3,4,5-C4Py also has a minimal hardness satisfying the principle of minimum electrophilicity.57 A high correlation (r) of 0.987 happens between ω and χ (Figure 3b).
The assessed parameters for fluoropyrroles are shown in Table 4. Figure 4a displays the plot of ω versus χ of fluoropyrroles. Fluoropyrroles show a similar trend for ω and χ to chloropyrrole but with F atom addition. 2,5-F2Py and 2,3,5-F3Py are exceptions showing a slight drop in their values. Further, 2-FPy is the least reactive molecule, and 2,3,4,5-C4Py is a highly reactive molecule. A better correlation (r = 0.992) exists between ω and χ (Figure 4b).
Figure 4.
(a, b) Plots between global parameters electrophilicity index (au) and electronegativity (au) for fluoropyrroles showing a correlation (r) value of 0.992.
3.3. Charge Transfer Analysis of Chloro- and Fluoropyrroles
ECT has been utilized to understand the interaction characteristics of pyrrole/chloropyrroles (System A) with DNA bases (System B) (Figure 5a). It is interesting to note that pyrrole/chloropyrroles turn into donor of electrons with all DNA bases. It can be observed that all chloropyrroles have less interaction with guanine and maximum interaction with thymine among the selected DNA bases. A similar trend is exhibited by ΔN-based interaction studies (Figure 5b) for chloropyrroles supporting our ECT results.
Figure 5.
Interaction of chloropyrroles with DNA bases based on (a) electrophilicity-based charge transfer (ECT) and (b) charge transfer (ΔN) showing maximum for thymine base.
It is important to note a similar trend between fluoropyrroles and DNA bases like chloropyrroles (Figure 6a). The electron-donating nature of fluoropyrroles is minimal with guanine and maximum with thymine. Interestingly, an identical trend is presented by ΔN (Figure 6b) for fluoropyrroles supporting our ECT-based outcome.
Figure 6.
Interaction of fluoropyrroles with DNA bases based on (a) electrophilicity-based charge transfer (ECT) and (b) charge transfer (ΔN) showing maximum for thymine and minimum for guanine base.
3.4. Chloro- and Fluoropyrroles with Multiphilic descriptor
Figure 7a–j highlights the multiphilic descriptor (Δωk) for pyrrole/chloropyrroles. The N5 position in pyrrole is extra susceptible to electrophilic attack (EAK) with a value of −0.028, and H6 site shows better preference toward nucleophilic attack (NAK) with a value of 0.051. It is interesting to notice that for all chloropyrroles, N5 site is more inclined to EAK and H6 site has a better preference to NAK. Another interesting detail is that chlorine site in chloropyrroles is prone to EAK except for 2,3,4,5-C4Py, where they prefer NAK.
Figure 7.
(a–j) Multiphilic descriptors (Δωk) for atoms in pyrrole/chloropyrroles. N5 position in pyrrole is susceptible to electrophilic attack (EAK) with a value of −0.028, and H6 site is better toward nucleophilic attack (NAK) with a value of 0.051.
The multiphilic descriptor (Δωk) for the fluoropyrroles is presented (Figure 8a–i). It is intriguing to take note of the fact that for all fluoropyrroles, H6 site has preference toward NAK, and fluorine sites to EAK. Another point is that N5 site is prone to EAK. Further, C4 site has preference toward EAK for 2,4-F2Py and 2,3,4-F3Py. Hence, the susceptible atomic positions have been identified with multiphilic descriptor.
Figure 8.
(a–i) Multiphilic descriptors (Δωk) for atoms in fluoropyrroles. H6 site has preference toward nucleophilic attack (NAK), whereas fluorine and N5 sites to have preference to electrophilic attack (EAK).
3.5. Toxicity Analysis on Chloro- and Fluoropyrroles
While DF descriptors delineated the stability, reactivity, site activeness, and nature of charge transfer with DNA bases, TOPKAT has been utilized to analyze the toxicity of the selected systems. The results of the National Toxicology Program’s carcinogenicity bioassays using four rodent models constitute a separate database in TOPKAT. Therefore, the predictions made by TOPKAT on a single chemical can differ greatly among the four rodent models because each prediction is dependent on a different base of experimental data. The toxicity profiles for all of the chlorine-substituted pyrroles (CPy) were extensively studied by TOPKAT 6.2 and are tabulated in Tables 5–8.
Table 5. TOPKAT-Based NTP Carcinogenicity of Male Mouse (CMM) and Female Mouse (CFM) for Pyrroles/Chloropyrroles Showing Calculated Probability and Discriminant Score.
| CMM |
CFM |
|||
|---|---|---|---|---|
| molecule | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-C4Py | 0.614 | 0.883 | 0.631 | 1.831 |
| 2,3,4-C3Py | 0.613 | 0.669 | 0.597 | 1.102 |
| 2,3,5-C3Py | 0.613 | 0.669 | 0.606 | 1.422 |
| 2,3-C2Py | 0.614 | 0.956 | 0.619 | 1.640 |
| 2,4-C2Py | 0.614 | 1.042 | 0.622 | 1.680 |
| 2,5-C2Py | 0.614 | 0.867 | 0.630 | 1.814 |
| 2-CPy | 0.612 | 1.537 | 0.608 | 1.451 |
| 3,4-C2Py | 0.650 | 2.045 | 0.608 | 1.455 |
| 3-CPy | 0.659 | 2.175 | 0.606 | 1.418 |
| pyrrole | 0.672 | 2.366 | 0.599 | 1.220 |
Table 8. TOPKAT-Based Rat Oral LD50 (RO-LD50), Skin Sensitization Data (SSD), and Mutagenicity Data (MD) for Pyrroles/Chloropyrroles Showing Calculated Probability and Discriminant Score.
| RO-LD50 | SSD |
MD |
|||
|---|---|---|---|---|---|
| molecule | calculated probability (g/kg) | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-C4Py | 0.303 | 0.769 | –0.452 | 0.685 | –2.356 |
| 2,3,4-C3Py | 0.165 | 0.759 | –0.666 | 0.656 | –3.347 |
| 2,3,5-C3Py | 0.227 | 0.762 | –0.614 | 0.644 | –3.734 |
| 2,3-C2Py | 0.145 | 0.755 | –0.748 | 0.682 | –2.460 |
| 2,4-C2Py | 0.177 | 0.755 | –0.748 | 0.601 | –5.020 |
| 2,5-C2Py | 0.228 | 0.749 | –0.880 | 0.684 | –2.373 |
| 2-CPy | 0.304 | 0.738 | –1.094 | 0.701 | –1.713 |
| 3,4-C2Py | 0.178 | 0.753 | –0.801 | 0.672 | –2.807 |
| 3-CPy | 0.185 | 0.745 | –0.962 | 0.629 | –4.199 |
| pyrrole | 0.567 | 0.711 | –1.589 | 0.715 | –1.124 |
From Table 5, studies on male mouse and female mouse showed no sign of carcinogenicity for selected chloropyrroles, with probability ranging from 0.612 to 0.672 and from 0.597 to 0.631, respectively. The computed probability values of 0.540–0.629 for the NTP carcinogenicity call (male rat) model and 0.501–0.519 for NTP carcinogenicity call (female rat) model (Table 6), which is below 0.70, and discriminant scores in the negative range imply that they are noncarcinogens. Table 7 illustrates the computed probabilities for the aerobic biodegradability and developmental toxicity potential (DTP) model. The computed probability range for aerobic biodegradability is 0.133–0.463 and 0.407–0.525 for the developmental toxicity potential model, which is much lesser and does not produce a positive response. The computed probabilities for rat oral LD50, skin sensitization, and mutagenicity model are shown in Table 8. With 0.145–0.567 g/kg, the rat oral LD50 values fall in optimum prediction space (OPS) for all compounds. The computed probability for the skin sensitization model falls within the range of 0.711–0.769, which is greater than 0.70 and possesses a strong sensitization effect. However, with probability values between 0.601 and 0.715 from the Ames mutagenicity model, the selected chloropyrrole is likely to produce a nonmutagenic effect.
Table 6. TOPKAT-Based NTP Carcinogenicity Male Rat (CMR) and Female Rat (CFR) for Pyrroles/Chloropyrroles Showing Calculated Probability and Discriminant Score.
| CMR |
CFR |
|||
|---|---|---|---|---|
| molecule | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-C4Py | 0.599 | –0.435 | 0.519 | –0.084 |
| 2,3,4-C3Py | 0.540 | –1.861 | 0.502 | –0.722 |
| 2,3,5-C3Py | 0.593 | –0.608 | 0.502 | –0.722 |
| 2,3-C2Py | 0.588 | –0.731 | 0.507 | –0.527 |
| 2,4-C2Py | 0.572 | –1.121 | 0.507 | –0.527 |
| 2,5-C2Py | 0.617 | 0.032 | 0.515 | –0.252 |
| 2-CPy | 0.577 | –1.004 | 0.509 | –0.475 |
| 3,4-C2Py | 0.604 | –0.325 | 0.510 | –0.435 |
| 3-CPy | 0.575 | –1.058 | 0.501 | –0.750 |
| pyrrole | 0.629 | 0.380 | 0.515 | –0.240 |
Table 7. TOPKAT-Based Aerobic Biodegradability (AB) and Developmental Toxicity Potential (DTP) Data for Pyrroles/Chloropyrroles Showing Calculated Probability and Discriminant Score.
| AB |
DTP |
|||
|---|---|---|---|---|
| molecule | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-C4Py | 0.161 | –8.578 | 0.453 | –2.673 |
| 2,3,4-C3Py | 0.142 | –9.383 | 0.467 | –2.249 |
| 2,3,5-C3Py | 0.133 | –9.828 | 0.431 | –3.371 |
| 2,3-C2Py | 0.135 | –9.741 | 0.433 | –3.300 |
| 2,4-C2Py | 0.138 | –9.574 | 0.466 | –2.273 |
| 2,5-C2Py | 0.209 | –6.861 | 0.435 | –3.245 |
| 2-CPy | 0.217 | –6.608 | 0.407 | –4.178 |
| 3,4-C2Py | 0.203 | –7.069 | 0.515 | –0.882 |
| 3-CPy | 0.210 | –6.817 | 0.525 | –0.609 |
| pyrrole | 0.463 | –0.578 | 0.484 | –1.740 |
The toxicity profiles for the fluorine-substituted pyrroles (FPy) were studied by TOPKAT 6.2 and are tabulated in Tables 9–12.
Table 9. TOPKAT-Based NTP Carcinogenicity of Male Mouse (CMM) and Female Mouse (CFM) for Fluoropyrroles Showing Calculated Probability and Discriminant Score.
| CMM |
CFM |
|||
|---|---|---|---|---|
| molecule | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-F4Py | 0.613 | 0.639 | 0.622 | 1.684 |
| 2,3,4-F3Py | 0.610 | 0.370 | 0.607 | 1.445 |
| 2,3,5-F3Py | 0.610 | 0.370 | 0.622 | 1.684 |
| 2,3-F2Py | 0.614 | 0.980 | 0.619 | 1.642 |
| 2,4-F2Py | 0.613 | 0.749 | 0.619 | 1.642 |
| 2,5-F2Py | 0.613 | 0.749 | 0.634 | 1.882 |
| 2-FPy | 0.613 | 1.453 | 0.619 | 1.642 |
| 3,4-F2Py | 0.614 | 1.225 | 0.611 | 1.504 |
| 3-FPy | 0.617 | 1.601 | 0.611 | 1.504 |
Table 12. TOPKAT-Based Rat Oral LD50 (RO-LD50), Skin Sensitization Data (SSD), and Mutagenicity Data (MD) for Fluoropyrroles Showing Calculated Probability and Discriminant Score.
| RO-LD50 | SSD |
MD |
|||
|---|---|---|---|---|---|
| molecule | calculated probability (g/kg) | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-F4Py | 0.105 | 0.753 | –0.801 | 0.721 | –1.755 |
| 2,3,4-F3Py | 0.075 | 0.753 | –0.801 | 0.730 | –0.864 |
| 2,3,5-F3Py | 0.101 | 0.755 | –0.748 | 0.720 | –1.820 |
| 2,3-F2Py | 0.064 | 0.745 | –0.962 | 0.743 | 0.224 |
| 2,4-F2Py | 0.073 | 0.745 | –0.962 | 0.715 | –2.306 |
| 2,5-F2Py | 0.074 | 0.738 | –1.094 | 0.719 | –1.893 |
| 2-FPy | 0.102 | 0.729 | –1.264 | 0.731 | –0.777 |
| 3,4-F2Py | 0.080 | 0.742 | –1.014 | 0.722 | –1.682 |
| 3-FPy | 0.079 | 0.736 | –1.132 | 0.695 | –3.941 |
Table 9 shows that like chloropyrroles, fluoropyrroles also show no sign of carcinogenicity toward male mouse and female mouse. The computed probability values for FPy derivatives range from 0.599 to 0.637 for the NTP carcinogenicity call (male rat) model and from 0.501 to 0.509 for NTP carcinogenicity call (female rat) model are represented in Table 10.
Table 10. TOPKAT-Based NTP Carcinogenicity Male Rat (CMR) and Female Rat (CFR) for Fluoropyrroles Showing Calculated Probability and Discriminant Score.
| CMR |
CFR |
|||
|---|---|---|---|---|
| molecule | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-F4Py | 0.637 | 0.641 | 0.509 | –0.463 |
| 2,3,4-F3Py | 0.602 | –0.355 | 0.509 | –0.463 |
| 2,3,5-F3Py | 0.627 | 0.338 | 0.509 | –0.463 |
| 2,3-F2Py | 0.599 | –0.452 | 0.501 | –0.750 |
| 2,4-F2Py | 0.599 | –0.452 | 0.501 | –0.750 |
| 2,5-F2Py | 0.624 | 0.241 | 0.509 | –0.475 |
| 2-FPy | 0.610 | –0.149 | 0.509 | –0.452 |
| 3,4-F2Py | 0.614 | –0.046 | 0.501 | –0.750 |
| 3-FPy | 0.624 | 0.256 | 0.502 | –0.727 |
The discriminant scores in the negative range and low probability values imply that they are not carcinogenic. Table 11 illustrates the computed probabilities for the aerobic biodegradability and developmental toxicity potential (DTP) model.
Table 11. TOPKAT-Based Aerobic Biodegradability (AB) and Developmental Toxicity Potential (DTP) Data for Fluoropyrroles Showing Calculated Probability and Discriminant Score.
| AB |
DTP |
|||
|---|---|---|---|---|
| molecule | calculated probability | discriminant score | calculated probability | discriminant score |
| 2,3,4,5-F4Py | 0.334 | –3.418 | 0.535 | –0.329 |
| 2,3,4-F3Py | 0.342 | –3.223 | 0.538 | –0.259 |
| 2,3,5-F3Py | 0.324 | –3.668 | 0.549 | 0.030 |
| 2,3-F2Py | 0.350 | –3.048 | 0.525 | –0.618 |
| 2,4-F2Py | 0.350 | –3.048 | 0.538 | –0.259 |
| 2,5-F2Py | 0.347 | –3.114 | 0.541 | –0.172 |
| 2-FPy | 0.374 | –2.486 | 0.497 | –1.382 |
| 3,4-F2Py | 0.367 | –2.644 | 0.538 | –0.259 |
| 3-FPy | 0.370 | –2.581 | 0.528 | –0.535 |
The computed probability ranges for aerobic biodegradability are 0.324–0.374 and 0.497–0.549 for the developmental toxicity potential model, which is much lesser than 0.70 and does not produce a positive response. The computed probabilities for rat oral LD50, skin sensitization, and mutagenicity model are shown in Table 12. With 0.064–0.105 g/kg, the rat oral LD50 value gets in optimum prediction space (OPS) for selected systems.
The computed probability for skin sensitization model is in the range of 0.729–0.755, which is greater than 0.70 and possesses a strong sensitization effect. However, for Ames mutagenicity model, the computed probability varies from 0.695 to 0.743. Hence, most of the selected molecules exhibit nonmutagenic effect except 2,3-F2Py, which has a positive discriminant score and may act as a mutagen.
4. Conclusions
The stability, reactivity, and site selectivity on pyrrole, chloropyrroles, and fluoropyrroles have been analyzed based on the density functional theory-based computational approach. Computed electrophilicity index descriptor identified the least and the most reactive among the selected series of compounds. The chemical reactivity of chloropyrroles (fluoropyrroles) depends on chlorine (fluorine) position in the molecule. The usefulness of ECT in understanding the electron-donating capacity of chloropyrroles (fluoropyrroles) during its encounter with DNA bases has been successfully examined. The preferred site for EAK and NAK in chloropyrroles (fluoropyrroles) has also been identified using the multiphilic descriptor. Further, TOPKAT-based NTP studies showed a significant skin sensitization effect but no carcinogenicity and mutagenicity effect for the selected systems. The present work has indicated that these molecules need to be examined further in the way of their impact on the biological environment in the future for their safe employment in some applications.
5. Computational Details
The geometries of pyrrole, chloropyrroles, and fluoropyrroles along with DNA bases are optimized using B3LYP/6–311++G**58−60 available in Gaussian 16 suite of programs.61 Frequency calculations confirmed the minimum-energy structures. The numberings of the atom for the selected optimized pyrroles are displayed in Figures 1 and 2. The index of electrophilicity is computed using eq 4. ECT is computed using eq 8. The natural population analysis (NPA)62 is used for obtaining condensed FF. Then, the multiphilic descriptor (Δωk) is calculated using eq 5. A library of CPy and FPy molecules are subjected to the toxicity prediction module (TOPKAT v6.2) in the chemical absorption, distribution, metabolism, excretion, and toxicity (ADMET) protocol.45−48
Acknowledgments
R.P. is thankful to the Science and Engineering Research Board (SERB), New Delhi, for the financial support (SRG/2020/002502). The authors thank the Department of Science and Technology (DST), New Delhi, CSIR-IITR, Lucknow, and CSIR, New Delhi, for providing resources. Manuscript communication number: 3476.
The authors declare no competing financial interest.
References
- Chermette H. Chemical reactivity indexes in density functional theory. J. Comput. Chem. 1999, 20, 129–154. . [DOI] [Google Scholar]
- Geerlings P.; De Proft F.; Langenaeker W. Conceptual density functional theory. Chem. Rev. 2003, 103, 1793–1874. 10.1021/cr990029p. [DOI] [PubMed] [Google Scholar]
- Chattaraj P. K.; Sarkar U.; Roy D. R. Electrophilicity Index. Chem. Rev. 2006, 106, 2065–2091. 10.1021/cr040109f. [DOI] [PubMed] [Google Scholar]
- Bredas J.; Silbey R.; Boudreaux D.; Chance R. Chain-length dependence of electronic and electrochemical properties of conjugated systems: polyacetylene, polyphenylene, polythiophene, and polypyrrole. J. Am. Chem. Soc. 1983, 105, 6555–6559. 10.1021/ja00360a004. [DOI] [Google Scholar]
- Brédas J.-L.; Cornil J.; Beljonne D.; Dos Santos D. A.; Shuai Z. Excited-state electronic structure of conjugated oligomers and polymers: a quantum-chemical approach to optical phenomena. Acc. Chem. Res. 1999, 32, 267–276. 10.1021/ar9800338. [DOI] [Google Scholar]
- Salzner U.; Lagowski J.; Pickup P.; Poirier R. Comparison of geometries and electronic structures of polyacetylene, polyborole, polycyclopentadiene, polypyrrole, polyfuran, polysilole, polyphosphole, polythiophene, polyselenophene and polytellurophene. Synth. Met. 1998, 96, 177–189. 10.1016/S0379-6779(98)00084-8. [DOI] [Google Scholar]
- Roy D. R.; Duley S.; Chattaraj P. K. Bonding, reactivity and aromaticity in some novel all-metal metallocenes. Proc. Indian Natl. Sci. Acad. Phys. Sci. 2008, 74, 11–18. [Google Scholar]
- Chattaraj P. K.; Sarkar U.; Roy D. R.; Elango M.; Parthasarathi R.; Subramanian V. Is electrophilicity a kinetic or a thermodynamic concept?. Indian J. Chem., Sect. A: Inorg., Phys., Theor. Anal. 2006, 45A, 1099–1112. [Google Scholar]
- Giri S.; Roy D. R.; Duley S.; Chakraborty A.; Parthasarathi R.; Elango M.; Vijayaraj R.; Subramanian V.; Islas R.; Merino G.; Chattaraj P. K. Bonding, aromaticity, and structure of trigonal dianion metal clusters. J. Comput. Chem. 2010, 31, 1815–1821. 10.1002/jcc.21452. [DOI] [PubMed] [Google Scholar]
- Roy D. R.; Bultinck P.; Subramanian V.; Chattaraj P. K. Bonding, reactivity and aromaticity in the light of the multicenter indices. J. Mol. Struct.: THEOCHEM 2008, 854, 35–39. 10.1016/j.theochem.2007.12.042. [DOI] [Google Scholar]
- Roy S. M.; Roy D. R.. Modeling of Bio-Activity and Toxicity in Light of NA Bases Interaction; Scholars’ Press: Latvia: European Union, 2019. [Google Scholar]
- Wang S.; Wan N. C.; Harrison J.; Miller W.; Chuckowree I.; Sohal S.; Hancox T. C.; Baker S.; Folkes A.; Wilson F.; et al. Design and synthesis of new templates derived from pyrrolopyrimidine as selective multidrug-resistance-associated protein inhibitors in multidrug resistance. J. Med. Chem. 2004, 47, 1339–1350. 10.1021/jm0310129. [DOI] [PubMed] [Google Scholar]
- Smith K. L.; Lai V. C.; Prigaro B. J.; Ding Y.; Gunic E.; Girardet J.-L.; Zhong W.; Hong Z.; Lang S.; An H. Synthesis of new 2′-β-C-methyl related triciribine analogues as anti-HCV agents. Bioorg. Med. Chem. Lett. 2004, 14, 3517–3520. 10.1016/j.bmcl.2004.04.067. [DOI] [PubMed] [Google Scholar]
- Chien T.-C.; Meade E. A.; Hinkley J. M.; Townsend L. B. Facile synthesis of 1-substituted 2-amino-3-cyanopyrroles: new synthetic precursors for 5, 6-unsubstituted pyrrolo [2, 3-d] pyrimidines. Org. lett. 2004, 6, 2857–2859. 10.1021/ol049207d. [DOI] [PubMed] [Google Scholar]
- Budhiraja A.; Kadian K.; Kaur M.; Aggarwal V.; Garg A.; Sapra S.; Nepali K.; Suri O.; Dhar K. Synthesis and biological evaluation of naphthalene, furan and pyrrole based chalcones as cytotoxic and antimicrobial agents. Med. Chem. Res. 2012, 21, 2133–2140. 10.1007/s00044-011-9733-y. [DOI] [Google Scholar]
- Raimondi M. V.; Cascioferro S.; Schillaci D.; Petruso S. Synthesis and antimicrobial activity of new bromine-rich pyrrole derivatives related to monodeoxypyoluteorin. Eur. J. Med. Chem. 2006, 41, 1439–1445. 10.1016/j.ejmech.2006.07.009. [DOI] [PubMed] [Google Scholar]
- Biava M.; Porretta G. C.; Deidda D.; Pompei R.; Tafi A.; Manetti F. Importance of the thiomorpholine introduction in new pyrrole derivatives as antimycobacterial agents analogues of BM 212. Bioorg. Med. Chem. 2003, 11, 515–520. 10.1016/S0968-0896(02)00455-8. [DOI] [PubMed] [Google Scholar]
- Uršič U.; Svete J.; Stanovnik B. Synthesis of 4-(2-hydroxy-1-methyl-5-oxo-1H-imidazol-4 (5H)-ylidene)-5-oxo-1-aryl-4, 5-dihydro-1H-pyrrole-3-carboxylates, a new triazafulvalene system. Tetrahedron 2010, 66, 4346–4356. 10.1016/j.tet.2010.04.025. [DOI] [Google Scholar]
- Rodríguez-Argüelles M. C.; López-Silva E. C.; Sanmartín J.; Pelagatti P.; Zani F. Copper complexes of imidazole-2-, pyrrole-2-and indol-3-carbaldehyde thiosemicarbazones: inhibitory activity against fungi and bacteria. J. Inorg. Biochem. 2005, 99, 2231–2239. 10.1016/j.jinorgbio.2005.07.018. [DOI] [PubMed] [Google Scholar]
- Micheli F.; Di Fabio R.; Bordi F.; Cavallini P.; Cavanni P.; Donati D.; Faedo S.; Maffeis M.; Sabbatini F. M.; Tarzia G.; et al. 2, 4-Dicarboxy-pyrroles as selective non-Competitive mGluR1 antagonists: further characterization of 3, 5-Dimethyl pyrrole-2, 4-dicarboxylic acid 2-propyl ester 4-(1, 2, 2-Trimethyl-propyl) ester and structure–Activity relationships. Bioorg. Med. Chem. Lett. 2003, 13, 2113–2118. 10.1016/S0960-894X(03)00396-2. [DOI] [PubMed] [Google Scholar]
- Fernandes E.; Costa D.; Toste S. A.; Lima J. L.; Reis S. In vitro scavenging activity for reactive oxygen and nitrogen species by nonsteroidal anti-inflammatory indole, pyrrole, and oxazole derivative drugs. Free Radical Biol. Med. 2004, 37, 1895–1905. 10.1016/j.freeradbiomed.2004.09.001. [DOI] [PubMed] [Google Scholar]
- Etcheverry S. B.; Barrio D. A.; Cortizo A. M.; Williams P. A. M. Three new vanadyl (IV) complexes with non-steroidal anti-inflammatory drugs (Ibuprofen, Naproxen and Tolmetin). Bioactivity on osteoblast-like cells in culture. J. Inorg. Biochem. 2002, 88, 94–100. 10.1016/S0162-0134(01)00368-3. [DOI] [PubMed] [Google Scholar]
- Lessigiarska I.; Nankov A.; Bocheva A.; Pajeva I.; Bijev A. 3D-QSAR and preliminary evaluation of anti-inflammatory activity of series of N-pyrrolylcarboxylic acids. Il Farmaco 2005, 60, 209–218. 10.1016/j.farmac.2004.11.008. [DOI] [PubMed] [Google Scholar]
- Mai A.; Valente S.; Rotili D.; Massa S.; Botta G.; Brosch G.; Miceli M.; Nebbioso A.; Altucci L. Novel pyrrole-containing histone deacetylase inhibitors endowed with cytodifferentiation activity. Int. J. Biochem. Cell Biol. 2007, 39, 1510–1522. 10.1016/j.biocel.2007.03.020. [DOI] [PubMed] [Google Scholar]
- Sechi M.; Mura A.; Sannia L.; Orecchioni M.; Paglietti G. Synthesis of pyrrolo [1, 2-a] indole-1, 8 (5H)-diones as new synthons for developing novel tricyclic compounds of pharmaceutical interest. ARKIVOC 2004, 2004, 97–106. 10.3998/ark.5550190.0005.510. [DOI] [Google Scholar]
- Jalaja R.; Leela S. G.; Mohan S.; Nair M. S.; Gopalan R. K.; Somappa S. B. Anti-hyperlipidemic potential of natural product based labdane-pyrroles via inhibition of cholesterol and triglycerides synthesis. Bioorg. Chem. 2021, 108, 104664 10.1016/j.bioorg.2021.104664. [DOI] [PubMed] [Google Scholar]
- Hamaguchi T.; Hirose T.; Asakawa H.; Itoh Y.; Kamado K.; Tokunaga K.; Tomita K.; Masuda H.; Watanabe N.; Namba M. Efficacy of glimepiride in type 2 diabetic patients treated with glibenclamide. Diabetes Res. Clin. Pract. 2004, 66, S129–S132. 10.1016/j.diabres.2003.12.012. [DOI] [PubMed] [Google Scholar]
- Goel A.; Agarwal N.; Singh F. V.; Sharon A.; Tiwari P.; Dixit M.; Pratap R.; Srivastava A. K.; Maulik P. R.; Ram V. J. Antihyperglycemic activity of 2-methyl-3, 4, 5-triaryl-1H-pyrroles in SLM and STZ models. Bioorg. Med. Chem. Lett. 2004, 14, 1089–1092. 10.1016/j.bmcl.2004.01.009. [DOI] [PubMed] [Google Scholar]
- Bhardwaj V.; Gumber D.; Abbot V.; Dhiman S.; Sharma P. Pyrrole: a resourceful small molecule in key medicinal hetero-aromatics. RSC Adv. 2015, 5, 15233–15266. 10.1039/C4RA15710A. [DOI] [Google Scholar]
- Hunjan M. K.; Panday S.; Gupta A.; Bhaumik J.; Das P.; Laha J. K. Recent Advances in Functionalization of Pyrroles and their Translational Potential. Chem. Rec. 2021, 21, 715–780. 10.1002/tcr.202100010. [DOI] [PubMed] [Google Scholar]
- Xia M.; Lambu M. R.; Tatina M. B.; Judeh Z. M. A. A Practical Synthesis of Densely Functionalized Pyrroles via a Three-Component Cascade Reaction between Carbohydrates, Oxoacetonitriles, and Ammonium Acetate. J. Org. Chem. 2021, 86, 837–849. 10.1021/acs.joc.0c02381. [DOI] [PubMed] [Google Scholar]
- Matthan J.; Uusimäki A.; Torvela H.; Leppävuori S. In Past and Future Impact of Electroactive Polymers on the Electronics Sector. Makromolekulare Chemie, Macromolecular Symposia, Wiley Online Library, 1988; Vol. 22, pp 161–190.
- Talaie A.; Lee J.; Lee Y.; Jang J.; Romagnoli J.; Taguchi T.; Maeder E. Dynamic sensing using intelligent composite: an investigation to development of new pH sensors and electrochromic devices. Thin Solid Films 2000, 363, 163–166. 10.1016/S0040-6090(99)00987-6. [DOI] [Google Scholar]
- Bredas J. Bipolarons in doped conjugated polymers: a critical comparison between theoretical results and experimental data. Mol. Cryst. Liq. Cryst. 1985, 118, 49–56. 10.1080/00268948508076188. [DOI] [Google Scholar]
- Scott J.; Bredas J.; Kaufman J.; Pfluger P.; Street G.; Yakushi K. Evidence for bipolarons in pyrrole polymers. Mol. Cryst. Liq. Cryst. 1985, 118, 163–170. 10.1080/00268948508076205. [DOI] [Google Scholar]
- Ansari R. Polypyrrole conducting electroactive polymers: synthesis and stability studies. E-J. Chem. 2006, 3, 186–201. 10.1155/2006/860413. [DOI] [Google Scholar]
- Singh R.; Baboo V.; Rawat P.; Kumar A.; Verma D. Molecular structure, spectral studies, intra and intermolecular interactions analyses in a novel ethyl 4-[3-(2-chloro-phenyl)-acryloyl]-3, 5-dimethyl-1H-pyrrole-2-carboxylate and its dimer: A combined DFT and AIM approach. Spectrochim. Acta, Part A 2012, 94, 288–301. 10.1016/j.saa.2012.03.059. [DOI] [PubMed] [Google Scholar]
- Donohoe T. J.; Thomas R. E. Partial reduction of pyrroles: application to natural product synthesis. Chem. Rec. 2007, 7, 180–190. 10.1002/tcr.20115. [DOI] [PubMed] [Google Scholar]
- Loudet A.; Burgess K. BODIPY dyes and their derivatives: syntheses and spectroscopic properties. Chem. Rev. 2007, 107, 4891–4932. 10.1021/cr078381n. [DOI] [PubMed] [Google Scholar]
- Facchetti A.; Abbotto A.; Beverina L.; Van der Boom M. E.; Dutta P.; Evmenenko G.; Pagani G. A.; Marks T. J. Layer-by-layer self-assembled pyrrole-based donor– acceptor chromophores as electro-optic materials. Chem. Mater. 2003, 15, 1064–1072. 10.1021/cm020929d. [DOI] [Google Scholar]
- Pu S.; Liu G.; Shen L.; Xu J. Efficient synthesis and properties of isomeric photochromic diarylethenes having a pyrrole unit. Org. Lett. 2007, 9, 2139–2142. 10.1021/ol070622q. [DOI] [PubMed] [Google Scholar]
- Spearman B. S.; Hodge A. J.; Porter J. L.; Hardy J. G.; Davis Z. D.; Xu T.; Zhang X.; Schmidt C. E.; Hamilton M. C.; Lipke E. A. Conductive interpenetrating networks of polypyrrole and polycaprolactone encourage electrophysiological development of cardiac cells. Acta Biomater. 2015, 28, 109–120. 10.1016/j.actbio.2015.09.025. [DOI] [PubMed] [Google Scholar]
- Omrani A.; Sabzyan H. Theoretical study of chloropyrroles as monomers for new conductive Polymers. J. Phys. Chem. A 2005, 109, 8874–8879. 10.1021/jp0518310. [DOI] [PubMed] [Google Scholar]
- Omrani A.; Sabzyan H. Ab Initio and DFT Study of All Mono-, Di-, Tri-, and Tetrafluoropyrroles and Their Cations: Predicting Structural, Spectroscopic, Electropolymerization, and Electrochemical Properties. J. Phys. Chem. A 2003, 107, 6476–6482. 10.1021/jp034155f. [DOI] [Google Scholar]
- Hall L. H.; Mohney B.; Kier L. B. The electrotopological state: structure information at the atomic level. J. Chem. Inf. Comput. Sci. 1991, 31, 76–82. 10.1021/ci00001a012. [DOI] [Google Scholar]
- Gombar V. K. Reliable assessment of logP of compounds of pharmaceutical relevance. SAR QSAR Environ. Res. 1999, 10, 371–380. 10.1080/10629369908039105. [DOI] [PubMed] [Google Scholar]
- Kier L. B. Shape indices of orders one and three from molecular graphs. Quant. Struct.-Act. Relat. 1986, 5, 1–7. 10.1002/qsar.19860050102. [DOI] [Google Scholar]
- Gombar V. K.; Jain D. V. S. Quantification of molecular shape and its correlation with physicochemical properties. Indian J. Chem. 1987, 26A, 554–555. [Google Scholar]
- Pearson R. G.Chemical Hardnesss-Applications from Molecules to Solids; Wiley-VCH: Weinheim, 1997. [Google Scholar]
- Chattaraj P. K.; Nath S.; Maiti B.. Reactivity Descriptors; Marcel Dekker: New York, 2003. [Google Scholar]
- Parr R. G.; Yang W.. Density Functional Theory of Atoms and Molecules; Oxford University Press: New York, 1989. [Google Scholar]
- Yang W.; Mortier W. J. The use of global and local molecular parameters for the analysis of the gas-phase basicity of amines. J. Am. Chem. Soc. 1986, 108, 5708–5711. 10.1021/ja00279a008. [DOI] [PubMed] [Google Scholar]
- Parr R. G.; Szentpaly L.; Liu S. Electrophilicity index. J. Am. Chem. Soc. 1999, 121, 1922–1924. 10.1021/ja983494x. [DOI] [Google Scholar]
- Padmanabhan J.; Parthasarathi R.; Subramanian V.; Chattaraj P. Chemical reactivity indices for the complete series of chlorinated benzenes: solvent effect. J. Phys. Chem. A 2006, 110, 2739–2745. 10.1021/jp056630a. [DOI] [PubMed] [Google Scholar]
- Parr R. G.; Pearson R. G. Absolute hardness: companion parameter to absolute electronegativity. J. Am. Chem. Soc. 1983, 105, 7512. 10.1021/ja00364a005. [DOI] [Google Scholar]
- Padmanabhan J.; Parthasarathi R.; Subramanian V.; Chattaraj P. Electrophilicity-based charge transfer descriptor. J. Phys. Chem. A 2007, 111, 1358–1361. 10.1021/jp0649549. [DOI] [PubMed] [Google Scholar]
- Chamorro E.; Chattaraj P. K.; Fuentealba P. Variation of the electrophilicity index along the reaction path. J. Phys. Chem. A 2003, 107, 7068–7072. 10.1021/jp035435y. [DOI] [PubMed] [Google Scholar]
- Becke A. D. Density-functional exchange-energy approximation with correct asymptotic behavior. Phys. Rev. A 1988, 38, 3098–3100. 10.1103/PhysRevA.38.3098. [DOI] [PubMed] [Google Scholar]
- Lee C.; Yang W.; Parr R. G. Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. Phys. Rev. B 1988, 37, 785. 10.1103/PhysRevB.37.785. [DOI] [PubMed] [Google Scholar]
- Hariharan P. C.; Pople J. A. The influence of polarization functions on molecular orbital hydrogenation energies. Theor. Chim. Acta 1973, 28, 213–222. 10.1007/BF00533485. [DOI] [Google Scholar]
- Frisch M. J.; Trucks G. W.; Schlegel H. B.; Scuseria G. E.; Robb M. A.; Cheeseman J. R.; Scalmani G.; Barone V.; Petersson G. A.; Nakatsuji H.; Li X.; Caricato M.; Marenich A. V.; Bloino J.; Janesko B. G.; Gomperts R.; Mennucci B.; Hratchian H. P.; Ortiz J. V.; Izmaylov A. F.; Sonnenberg J. L.; Williams-Young D.; Ding F.; Lipparini F.; Egidi F.; Goings J.; Peng B.; Petrone A.; Henderson T.; Ranasinghe D.; Zakrzewski V. G.; Gao J.; Rega N.; Zheng G.; Liang W.; Hada M.; Ehara M.; Toyota K.; Fukuda R.; Hasegawa J.; Ishida M.; Nakajima T.; Honda Y.; Kitao O.; Nakai H.; Vreven T.; Throssell K.; Montgomery J. A. Jr; Peralta J. E.; Ogliaro F.; Bearpark M. J.; Heyd J. J.; Brothers E. N.; Kudin K. N.; Staroverov V. N.; Keith T. A.; Kobayashi R.; Normand J.; Raghavachari K.; Rendell A. P.; Burant J. C.; Iyengar S. S.; Tomasi J.; Cossi M.; Millam J. M.; Klene M.; Adamo C.; Cammi R.; Ochterski J. W.; Martin R. L.; Morokuma K.; Farkas O.; Foresman J. B.; Fox D. J.. Gaussian 16, Revision A.03; Gaussian, Inc.: Wallingford CT, 2016. [Google Scholar]
- Reed A. E.; Curtiss L. A.; Weinhold F. Intermolecular interactions from a natural bond orbital, donor-acceptor viewpoint. Chem. Rev. 1988, 88, 899–926. 10.1021/cr00088a005. [DOI] [Google Scholar]










