Application of the PM6 method to modeling the solid state

The applicability of the recently developed PM6 method for modeling various properties of a wide range of organic and inorganic crystalline solids has been investigated. Although the geometries of most systems examined were reproduced with good accuracy, severe errors were found in the predicted structures of a small number of solids. The origin of these errors was investigated, and a strategy for improving the method proposed. Figure Detail of Structure of Dihydrogen Phosphate in KH₂PO₄ (upper pair) and in (CH₃)₄NH₂PO₄. (Footnote): X-ray structures on left, PM6 structure on right. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Alpha particle chemistry. On the formation of stable complexes between He2+ and other simple species: implications for atmospheric and interstellar chemistry

The possibility that stable complexes may be formed between alpha particles (He²⁺) and small molecules is investigated using QCISD quantum mechanical calculations. Implications for their presence in the terrestrial atmosphere and/or in interstellar space are discussed. Figure Optimized structure of a stable H₂OHe²⁺ complex     

Theoretical study of the novel sandwich compound [Au<Subscript>3</Subscript>Cl<Subscript>3</Subscript>Tr<Subscript>2</Subscript>]<Superscript>2+</Superscript>

A theoretical study of a sandwich compound with a metal monolayer sheet between two aromatic ligands is presented. A full geometry optimization of the [Au₃Cl₃Tr₂]²⁺ (1) compound, which is a triangular gold(I) monolayer sheet capped by chlorines and bounded to two cycloheptatrienyl (Tr) ligands was carried out using perturbation theory at the MP2 computational level and DFT. Compound (1) is in agreement with the 18–electron rule, the bonding nature in the complex may be interpreted from the donation interaction coming from the Tr rings to the Au array, and from the back-donation from the latter to the former. NICS calculations show a strong aromatic character in the gold monolayer sheet and Tr ligands; calculations done with HOMA, also report the same aromatic behavior on the cycloheptatrienyl fragments giving us an insight on the stability of (1). The Au –Au bond lengths indicate that an intramolecular aurophilic interaction among the Au(I) cations plays an important role in the bonding of the central metal sheet. Figure (a) Ground state geometry of complex 1; (b) Top view of compound 1 and Wiberg bond orders computed with the MP2/B1 computational method; (c) Lateral view of compound 1 and NICS values calculated with the MP2/B1 method; the values in parenthesis were obtained at the VWN/TZP level     

Ab initio calculations on the thermodynamic properties of azaborospiropentanes

Following our recent studies of the thermodynamic properties of azaspiropentane and borospiropentane, in consideration of their usefulness as new potential high energy materials, we follow up with ab initio calculations on the thermodynamic properties of azaborospiropentanes. Properties reported in this study include optimized structural parameters, vibrational frequencies, enthalpies of formation, specific enthalpies of combustion, proton affinities, and hydride affinities. Our results indicate that azatriborospiropentane gives off most energy when combusted, as evidenced by its specific enthalpy of combustion of about −52 kJ per gram. Figure Optimized geometry for R-azatriborospiropentane (10) Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Structure-based 3D-QSAR studies on thiazoles as 5-HT<Subscript>3</Subscript> receptor antagonists

Structure-based 3D-QSAR studies were performed on 20 thiazoles against their binding affinities to the 5-HT₃ receptor with comparative molecular field analysis (CoMFA) and comparative molecular similarity indices analysis (CoMSIA). The thiazoles were initially docked into the binding pocket of a human 5-HT_3A receptor homology model, constructed on the basis of the crystal structure of the snail acetylcholine binding protein (AChBP), using the GOLD program. The docked conformations were then extracted and used to build the 3D-QSAR models, with cross-validated values 0.785 and 0.744 for CoMFA and CoMSIA, respectively. An additional five molecules were used to validate the models further, giving satisfactory predictive values of 0.582 and 0.804 for CoMFA and CoMSIA, respectively. The results would be helpful for the discovery of new potent and selective 5-HT₃ receptor antagonists.      

A theoretical investigation of cytotoxic activity of celastroid triterpenoids

Quantum chemical calculations at the B3LYP/6-31G* level of theory have been carried out on 20 celastroid triterpenoids to obtain a set of molecular electronic properties and to correlate these with cytotoxic activities. The cytotoxic activities of these compounds can be roughly correlated with electronic effects related to nucleophilic addition to C(6) of the compounds: The energies of the frontier molecular orbitals (E _HOMO and E _LUMO), the HOMO-LUMO energy gap, the dipole moment, the charge on C(6), and the electrophilicity on C(6). Figure LUMO of Pristimerin.     

The platinum-olefin binding energy in series of (PH<Subscript>3</Subscript>)<Subscript>2</Subscript>Pt(olefin) complexes - a theoretical study

Theoretical investigation of Pt(0)-olefin organometallic complexes containing tertiary phosphine ligands was focused on the strength of platinum-olefin electronic interaction. DFT theoretical study of electronic effects in a substantial number of ethylene derivatives was evaluated in terms of the Pt-olefin binding energy using MP2 correlation theory. Organometallics bearing coordinated olefins with general formula (R¹R²C = CR³R⁴)Pt(PH₃)₂ [R = various substituents] had been selected, including olefins containing both electron-donor substituents as well as electron-withdrawing groups. The stability of the corresponding complexes increases with a strengthening electron-withdrawal ability of the olefin substituents. Figure Representation of (CH₂ = CHR)Pt(PPh₃)₂ and the stability chart     

Aromaticity and electronic properties of Heterosuperbenzene (Heterohexabenzocoronene)

A global electrophilicity parameter and the aromaticity of some heterocyclic polyaromatic hydrocarbons were evaluated on the basis of DFT calculations. The substitution of carbon atoms by nitrogen atoms dramatically changes the global electrophilicity of the molecules, with the fully substituted molecule being the most electrophilic with a reactivity very close to that of fullerene. Figure Fully substituted heterohexabenzocoronene Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

A computational approach to the synthesis of 1,3,5-thiadiazinane-2-thiones in aqueous medium: theoretical evidence for water-promoted heterocyclization

Based on experimental evidence and DFT studies, a probable cyclization route to 1,3,5-thiadiazinanes-2-thiones in aqueous medium is proposed. Experimental facts suggest the formation of a {[hydroxymethyl (substituted) carbamothioyl] sulfanyl}methanol intermediate via reaction of dithiocarbamate (DTC) and formaldehyde. Nucleophilic addition of glycine to this intermediate generates an adduct that undergoes intramolecular heterocyclization via an S_N2 reaction. Computational calculations predict an active role of water in the reaction mechanism that promotes intramolecular cyclization. Figure Energy profile of the proposed reaction mechanism for the synthesis of thiadiazinane-2-thione ring 11 in aqueous medium from a (hydroxymethylcarbamothioyl)sulfanylmethanol intermediate, 9     

Exploring the binding features of rimonabant analogues and acyclic CB<Subscript>1</Subscript> antagonists: docking studies and QSAR analysis

In order to elucidate the structural requirements for human CB₁ receptor antagonism, 78 antagonists belonging to five different chemical classes were selected from the literature and docked into the receptor binding site, built by homology modeling techniques. To further explore the structure-activity relationships within the considered chemical classes, a pharmacophore model and a QSAR analysis were developed. In a first step five alignments, one for each group of compounds were generated. All of them were then submitted to a MOE pharmacophore search in order to obtain a final pharmacophore model representative of the whole dataset which was used to elaborate the following 3D-QSAR analysis, by means of the CoMFA methodology. The results of these investigations are expected to be useful in the process of design and development of new potent CB₁ antagonists. Figure Compounds 1-78 are aligned into the putative CB1 receptor binding site. The three key features shared by all of them are reported in coloured spheres. The hydrophobic/aromatic ones are depicted in purple while the acceptor functions are coloured in blue.     

Theoretical study of spin-spin coupling across the hydrogen (O-H⋯N) bond in adenosine derivatives

The study of spin-spin coupling constants across hydrogen bond provides useful information about configuration of complexes. The interesting case of such interactions was observed as a coupling across an intramolecular hydrogen bond in 8-bromo-2′,3′-O-isopropylideneadenosine between the -CH₂OH (at 5″ proton) group and the nitrogen atom of adenine. In this paper we report theoretical investigations on the ^4h J _NH coupling across the H″-C-O-H···N hydrogen bond in adenosine derivatives in various solvent models. Figure Coupling constants in 8-bromo-2′,3′-O-isopropylideneadenosine Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Adsorption and phase transitions in adsorbed systems: structural properties of CCl<Subscript>4</Subscript> layers adsorbed on a graphite surface

We present the results of simulations of a CCl₄ monolayer adsorbed on a graphite surface. The CCl₄ molecule was represented either by a shapeless superatom or by its atomic sites. The simulations were carried out over a large range of temperatures, from 20 K up to 340 K. We address the following problems: (1) the influence of molecular shape on the structure and stability of phases (particularly at low temperatures), and (2) the influence of the graphite corrugation on layer stability and mechanism of phase transitions. In particular, we discuss the possibility and conditions of the appearance of hexatic phase in the system. Figure Temperature dependence of Φ6 order parameter for CCl₄ monolayer adsorbed onsmooth and corrugated surfaces, in the spherical Lennard Jones (LJ) approximation.For comparison, the order parameter calculated for MacDonald’s five-site potential is also presented     

The zinc complex catalyzed hydration of alkyl isothiocyanates

Based upon our preceding studies of the hydration of CO₂, COS and CS₂, accelerated by the carbonic anhydrase (CA) using simplified [ZnL₃OH]⁺ complexes as model catalysts, we calculated the hydration mechanisms of both the uncatalyzed and the [ZnL₃OH]⁺-catalyzed reactions (L = NH₃) of isothiocyanates RNCS on the B3LYP/6-311+G(d,p) level of theory. Interestingly, the transition state for the favored metal mediated reaction with the lowest Gibbs free energy is only slightly higher than in the case of CO₂ (depending on the attacking atom (N or S). Calculations under inclusion of solvent corrections show a reduction of the selectivity and a slight decrease of the Gibbs free energy in the rate-determining steps. The most plausible pathway prefers the mechanism via a Lindskog proton-shift transition state leading to the thermodynamically most stable product, the carbamatic-S-acid. Furthermore, powerful electron withdrawing substituents R of the cumulenic substrates influence the selectivity of the reaction to a significant extent. Especially the CF₃-group in trifluoromethylisothiocyanate reverses the selectivity. This investigation demonstrates that reaction principles developed by nature can be translated to develop efficient catalytic methods, in this case presumably for the transformation of a wide variety of heterocumulenes aside from CO₂, COS and CS₂. Figure Competing transition structures for the [ZnL₃OH]⁺-mediated activation of isothiocyanates Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

DFT study of benzyl alcohol/TiO<Subscript>2</Subscript> interfacial surface complex: reaction pathway and mechanism of visible light absorption

We propose a new pathway for the adsorption of benzyl alcohol on the surface of TiO₂ and the formation of interfacial surface complex (ISC). The reaction free energies and reaction kinetics were thoroughly investigated by density functional calculations. The TiO₂ surfaces were modeled by clusters consisting of 4 Ti atoms and 18 O atoms passivated by H, OH group and H₂O molecules. Compared with solid-state calculations utilizing the periodicity of the materials, such cluster modeling allows inclusion of the high-order correlation effects that seem to be essential for the adsorption of organic molecules onto solid surfaces. The effects of both acidity and solvation are included in our calculations, which demonstrate that the new pathway is competitive with a previous pathway. The electronic structure calculations based on the relaxed ISC structures reveal that the chemisorption of benzyl alcohol on the TiO₂ surface greatly alters the nature of the frontier molecular orbitals. The resulted reduced energy gap in ISC matches the energy of visible light, showing how the adsorption of benzyl alcohol sensitizes the TiO₂ surface.

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Graphical Abstract The chemisorption of benzyl alcohol on TiO₂ surface greatly alters the nature of the frontier molecular orbitals and the formed interfacial surface complex can be sensitized by visible light

     

Three-dimensional quantitative structure-activity relationship (3D-QSAR) studies of various benzodiazepine analogues of γ-secretase inhibitors

A 3D QSAR analysis has been performed on a series of 67 benzodiazepine analogues reported as γ-secretase inhibitors using molecular field analysis (MFA), with G/PLS to predict steric and electrostatic molecular field interaction for the activity. The MFA study was carried out using a training set of 54 compounds. The predictive ability of model developed was assessed using a test set of 13 compounds ( as high as 0.729). The analyzed MFA model has demonstrated a good fit, having r² value of 0.858 and cross validated coefficient, value as 0.790. The analysis of the best MFA model provided insight into possible modification of the molecules for better activity.   Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Calculations of the C<Subscript>2</Subscript> fragmentation energies of higher fullerenes C<Subscript>80</Subscript> and C<Subscript>82</Subscript>

The C₂ fragmentation energies of the most stable isolated-pentagon-rule (IPR) isomers of the C₈₀ and C₈₂ fullerenes were evaluated with second-order Møller-Plesset (MP2) theory, density-functional theory (DFT) and the semiempirical self-consistent charge density-functional tight-binding (SCC-DFTB) method. Zero-point energy, ionization energy and empirical C₂ corrections were included in the calculation of fragmentation energies for comparison with experimental C₂ fragmentation energies of the fullerene cations. In the case of the most probable Stone-Wales pathway of C₂ fragmentation of C₈₀, the calculated \(D_{0} {\left( {{\text{C}}_{{{\text{80}}}} ^{ + } } \right)}\) agree well with experimental data, whereas in the case of C₈₂ fragmentation, the calculated \(D_{0} {\left( {{\text{C}}_{{{\text{82}}}} ^{ + } } \right)}\) exceed by up to 1.2 eV the experimental ones, which suggests that other IPR isomers may be present in sufficient amounts in experimental samples. Computer-intensive MP2 calculations and DFT calculations with larger basis sets do not yield much improved C₂ fragmentation energies, compared to those reported earlier with B3LYP/3-21G. On the other hand, semiempirical approaches such as SCC-DFTB, which are orders of magnitude less intensive, yield satisfactory fragmentation energies for higher fullerenes and may become a method of choice for routine calculations of fullerenes and carbon nanotubes.

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Figure C₂ fragmentation energies of C₈₀ and C₈₂ fullerenes have been calculated with B3LYP/6-31G* model chemistry, with semiempirical self-consistent-charge density-functional tight-binding (SCC-DFTB) method and with the more rigorous MP2 method. The influence of basis set extension and level of theory on the resulting fragmentation energies is discussed

     

Endohedral metalloborofullerenes M@B<Subscript>44</Subscript> (M = Ca,Sr, Ba): a computational investigation

For the first time, the structures, stabilities and electronic properties of alkaline-earth metal doped B₄₄ fullerenes were investigated by means of density functional theory calculations. Our results reveal that M@B₄₄ (M = Ca, Sr, Ba) possess endohedral configurations as their lowest energy structures, whereas the exohedral form is favored when metal is Be or Mg. The large binding energies and sizable HOMO–LUMO gap energies of Ca@B₄₄, Sr@B₄₄ and Ba@B₄₄ suggest the considerable possibility to achieve these novel endohedral borofullerenes experimentally. Born-Oppenheimer molecular dynamics (BO-MD) simulations at various temperatures further confirmed the extreme dynamic stabilities of these endohedral complexes. Their bonding patterns were also analyzed in detail. Finally, we simulated their infrared absorption spectra and ¹¹B nuclear magnetic resonance spectra to help future structural characterization.

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Graphical Abstract Stuffing B₄₄ fullerene with metals

     

Methylenecyclopropene: local vision of the first <Superscript>1</Superscript>B<Subscript>2</Subscript> excited state

The ¹A₁ ground and the first ¹B₂ excited states of the methylenecyclopropene (triafulvene) are described by localized wave functions, based on 20 structures valence bond structures. The results are compared to CASSCF(4,4) calculations for both the energetics and the dipole moment. Additional calculations with partial electronic delocalization are presented, and it is shown that the dipole moment modification does not correspond to a situation where the antiaromatic situation prevails (with 4n electrons in the cycle). Part of the analysis uses a “trust factor” that helps to decide if a wave function is appropriate to describe a given state. The trust factor compares the VB wave function to the CASSCF’s with their overlap. Finally, the valence bond density is used to produce density maps that illustrate the electron transfer upon excitation.

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Graphical Abstract A projector-based method compares CASSCF wave functions to local wave functions, including Lewis structures as shown in the picture. A “trust factor” (τ) is obtained. Both the ground state and the first excited state of the methylenecyclopropene are discussed

     

DFT study of isomers of the ruthenium dihydride complex RuH<Subscript>2</Subscript>(CO)<Subscript>2</Subscript>(AsMe<Subscript>2</Subscript>Ph)<Subscript>2</Subscript>

A density functional theory (DFT) study of cct-As, ccc, and cct-CO isomers of the ruthenium dihydride complex RuH₂(CO)₂(AsMe₂Ph)₂ is reported (see Scheme for the labeling isomer 34 structures of RuH₂(CO)₂(AsMe₂Ph)₂). Complex geometries and relative energies of different isomers have been calculated with both B3LYP and M06-2X functionals. The results show that the B3LYP calculated Boltzmann populations of cct-As, ccc, and cct-CO isomers are 65.5, 34.2, and 0.3%, respectively. These are in better agreement with the experimental data than those calculated at the M06-2X level. However, the calculations of ¹H NMR chemical shifts were found to be better described with M06-2X than with B3LYP or with HF level of theories. In addition, a transition state between the two most stable isomers was determined through DFT/(B3LYP or M06-2X) calculations.

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Graphical Abstract Scheme: Labeling structure of RuH₂(CO)₂(AsMe₂Ph)₂

     

Theoretical study on the ground state intramolecular proton transfer (IPT) and solvation effect in two Schiff bases formed by 2-aminopyridine with 2-hydroxy-1- naphthaldehyde and 2-hydroxy salicylaldehyde

The tautomerization mechanism the isolated and monohydrated forms of two Schiff bases 1 and 2, and the effect of solvation on the proton transfer from enol-imine form to the keto-enamine form have been investigated using the B3LYP hybrid density functional method at the 6-31G** basis set level. The barrier heights for H₂O-assisted reactions are significantly lower than that of unassisted tautomerization reaction in the gas phase. Nonspecific solvent effects have also been taken into account by using the continuum model (IPCM) of four different solvent. The tautomerization energies and the potential energy barriers are decreased by increasing solvent polarity. Figure The tautomerization mechanism the isolated and monohydrated forms of two Schiff bases 1 and 2, and the effect of solvation on the proton transfer from enol-imine form to the keto-enamine form have been investigated using the B3LYP hybrid density functional method at the 6-31G** basis set level