An Assessment of Theoretical Protocols for Calculation of the pKa Values of the Prototype Imidazolium Cation

2004 ◽  
Vol 57 (12) ◽  
pp. 1205 ◽  
Author(s):  
Alison M. Magill ◽  
Brian F. Yates

The highly accurate complete basis set method CBS-QB3 has been used in conjunction with the conductor-like polarized continuum (CPCM) method to predict the aqueous pKa values for the three different hydrogen atoms in the imidazolium cation. Excellent agreement was obtained with the available experimental values. The pKa for the deprotonation of imidazole was also calculated and found to be quite different from the experimental estimate. The protocol for the pKa calculation was carefully analyzed and some recommendations made about the choice of levels of theory.

2020 ◽  
Author(s):  
Ali Amir Khairbek

Standard enthalpies of hydrogenation of 29 unsaturated hydrocarbon compounds were calculated in the gas phase by CCSD(T) theory with complete basis set cc-pVXZ, where X = DZ, TZ, as well as by complete basis set limit extrapolation. Geometries of reactants and products were optimized at the M06-2X/6-31g(d) level. This M06-2X geometries were used in the CCSD(T)/cc-pVXZ//M06-2X/6-31g(d) and cc-pV(DT)Z extrapolation calculations. (MAD) the mean absolute deviations of the enthalpies of hydrogenation between the calculated and experimental results that range from 8.8 to 3.4 kJ mol−1 based on the Comparison between the calculation at CCSD(T) and experimental results. The MAD value has improved and decreased to 1.5 kJ mol−1 after using complete basis set limit extrapolation. The deviations of the experimental values are located inside the “chemical accuracy” (±1 kcal mol−1 ≈ ±4.2 kJ mol−1) as some results showed. A very good linear correlations between experimental and calculated enthalpies of hydro-genation have been obtained at CCSD(T)/cc-pVTZ//M06-2X/6-31g(d) level and CCSD(T)/cc-pV(DT)Z extrapolation levels (SD =2.11 and 2.12 kJ mol−1, respectively).


2020 ◽  
Vol 44 (11-12) ◽  
pp. 762-768
Author(s):  
AA Khairbek ◽  
M Abd Al-Hakim Badawi

The standard enthalpies of hydrogenation of 29 unsaturated hydrocarbon compounds were calculated in the gas phase by M06-2X theory with the 6-31g(d) and cc-pVXZ, where X = DZ, TZ, QZ, as well as by complete basis set extrapolated level. Geometries of compounds were optimized at the M06-2X/6-31g(d) level. These M06-2X geometries were used in the M06-2X, and extrapolation calculations with cc-pVXZ basis sets. Comparison of calculation and experimental results shows that the mean absolute deviations between the calculated and experimental enthalpies of hydrogenation range from 25.1 to 5.1 kJ mol−1 at M06-2X calculations, and when using cc-pV(DT)Z extrapolated level, the mean absolute deviations have decreased to 2.7. The results of some calculations showed that the deviations from experimental values are located inside the “chemical accuracy” (±1 kcal mol−1≈±4.2 kJ mol−1). Very good linear correlations between experimental and calculated enthalpies of hydrogenation have been obtained at M06-2X/cc-pVTZ and cc-pV(DT)Z extrapolated levels (standard deviation = 3.2 and 3.4 kJ mol−1, respectively).


2015 ◽  
Vol 9 (1) ◽  
pp. 2277-2286 ◽  
Author(s):  
Anthony Duane Stewart

We present results from ab-initio, self consistent, local density approximation (LDA) calculations of electronic and related properties of cubic boron nitride (zb-BN).  We employed the Ceperley and Alder LDA potential and the linear combination of atomic orbitals (LCAO) formalism in our non-relativistic computations.  We solved the system of LDA equations self-consistently, through the implementation of the LCAO formalism, following the Bagayoko, Zhao, and Williams (BZW) method as enhanced by Ekuma and Franklin (BZW-EF).  The BZW-EF method includes a methodical search for the optimal basis set that yields the absolute minima of the occupied energies.  This search entails increasing the size of the basis set and the related modifications of angular symmetry and of radial orbitals.  Our calculated, indirect band gap of 6.48 eV, from the Γ to the Χ points, and bulk modulus of 375 GPa are in excellent agreement with corresponding experimental values at room temperature (RT).  The calculated widths of the lowest valance band and that of the entire valence bands of 5.65 eV and 20.26 eV are in excellent agreement with the measured values of 5.5 eV and 20 eV, respectively.  We have also calculated electron and hole effective masses for zb-BN, and the total (DOS) and partial (pDOS) densities of states.   


2019 ◽  
Author(s):  
Beth A. Caine ◽  
Maddalena Bronzato ◽  
Paul Popelier

We show here for the first time that strongly correlated linear relationships exist between equilibrium bond lengths of the sulfonamide group and aqueous pKa values. Models are constructed for three variants of the SO2NHR group: primary benzene sulfonamide derivatives (e.g. diuretic drugs furosemide and hydrochlorothiazide), N-phenyl substituted 4-amino-N-phenylbenzenesulfonamide analogues (e.g. the sulfa antibiotic sulfadiazine) and phenylsulfonylureas (e.g. insulin secretogogue, glimepiride). In the context of these compounds, we present solutions to some of the more complex challenges in pKa prediction: (i) prediction for multiprotic compounds, (ii) predicting macroscopic values for compounds that tautomerize, and (iii) quantum chemical pKa prediction for compounds with more than 50 atoms. Using bond lengths as a powerful descriptor of ionization feasibility, we also identify that literature values for drug compounds celecoxib, glimepiride and glipizide are inaccurate. Our newly measured experimental values match our initial predictions to within 0.26 pKa units, whereas previous values were found to deviate by up to 1.68 pKa units. For glimepiride, our corrected value denotes a percentage of ionization at intracellular pH, which is only now in excellent agreement with its known therapeutic efficacy. We propose that linear relationships between bond lengths and pKa should emerge for any set of congeners, thus providing a powerful method of pKa prediction obviating the need for thermodynamic cycles.


2019 ◽  
Author(s):  
Beth A. Caine ◽  
Maddalena Bronzato ◽  
Paul Popelier

We show here for the first time that strongly correlated linear relationships exist between equilibrium bond lengths of the sulfonamide group and aqueous pKa values. Models are constructed for three variants of the SO2NHR group: primary benzene sulfonamide derivatives (e.g. diuretic drugs furosemide and hydrochlorothiazide), N-phenyl substituted 4-amino-N-phenylbenzenesulfonamide analogues (e.g. the sulfa antibiotic sulfadiazine) and phenylsulfonylureas (e.g. insulin secretogogue, glimepiride). In the context of these compounds, we present solutions to some of the more complex challenges in pKa prediction: (i) prediction for multiprotic compounds, (ii) predicting macroscopic values for compounds that tautomerize, and (iii) quantum chemical pKa prediction for compounds with more than 50 atoms. Using bond lengths as a powerful descriptor of ionization feasibility, we also identify that literature values for drug compounds celecoxib, glimepiride and glipizide are inaccurate. Our newly measured experimental values match our initial predictions to within 0.26 pKa units, whereas previous values were found to deviate by up to 1.68 pKa units. For glimepiride, our corrected value denotes a percentage of ionization at intracellular pH, which is only now in excellent agreement with its known therapeutic efficacy. We propose that linear relationships between bond lengths and pKa should emerge for any set of congeners, thus providing a powerful method of pKa prediction obviating the need for thermodynamic cycles.


1998 ◽  
Vol 53 (6-7) ◽  
pp. 404-410 ◽  
Author(s):  
Torsten Soldner ◽  
Wolfgang Tröger ◽  
Tilman Butz ◽  
Peter Blaha ◽  
Karlheinz Schwarz ◽  
...  

Abstract Electric field gradients (EFG) at Hg were determined in mercury mercaptides Hg(S(CH2)i CH3)2 experimentally for i ∈ {0, 1, 2} using time differential perturbed angular correlation and theoreti-cally for i ∈ {0, 1} with the full potential linearized augmented plane wave code WIEN95. Due to the large unit cells and small hydrogen atoms not full convergence of the plane wave basis set could be reached. Nevertheless, the calculated EFGs agree with experimental values to better than 20%. Furthermore, isolated molecules for i ∈ {0, 1) were investigated theoretically, and strong differences to the values for the crystalline state, especially for the asymmetry parameters η, were found.


Author(s):  
Syed Ali ◽  
Aneesa Choudhary ◽  
Majid Khalil ◽  
Arif Zubair

The present work is related to predicting the pKa values of organosulfur compounds through Density Functional Theory (DFT). In this study 22 organo-sulfur compounds have been considered to calculate theoretical pKa values. Main emphasis has been given on the substitution of different groups on the Sulfur atom. The computations were performed in the presence of Dimethyl sulfoxide (DMSO) as solvent. Experimentally the order of increase of acidity is; Sulfides < < Sulfoxides < Sulfones. Our computed pKa values also follow the same order. The theoretical pKa values are computed using the DFT method B3LYP, with the basis sets 6-31G(d), 6-31+G(d,p) and IEFPCM bulk solvation model. The majority of computed pKa values are in excellent agreement with the experimental ones through the diffuse function basis set. Hence this computational approach, B3LYP/6-31+G(d,p)/IEFPCM, could be utilized to predict the pKa values of these types of organosulfur compounds.


Author(s):  
Mustafa Lawar ◽  
Safia Elbadwe ◽  
Ismail Yalçin ◽  
Kayhan Bolelli ◽  
Hakan Sezgin Sayiner ◽  
...  

The pKa values were calculated for some acetoxy group molecules using CBS-Q method which is one of the Complete Basis Set methods to find accurate energies. The acetoxy group molecules were also planned by Quantitative Structure Activity Relationship (QSAR) to study their effect on paraoxonase1 activity. The results of this study showed a strong relationship, (R2=0.99) between the calculated and experimental pka, also showed correlations between the activity of the enzyme and some of the studied descriptors. Moreover, the results of the study revealed that by using the SPSS program, there is a correlation between LUMO, Softness, Nucleofugality and Electrofugality as dependent variables and Cal. pKa as an independent variable.


2018 ◽  
Author(s):  
Marissa Buzzanca ◽  
Brandon Brummeyer ◽  
Jonathan Gutow

<div> <div> <div>Vertical ionization potentials (IPs) computed using the IP-EOMCCSD method are reported for 53 medium sized molecules (6 – 32 atoms) and compared with average experimental vertical IPs. The calculations are practical on a modest computational cluster and yield good agreement with experimental values using the aug-cc-pVDZ basis set, with an average deviation from the experimental IP of −0.04 eV. The accuracy of IP computations appears to be approaching the point where possible systematic experimental errors can be identified. Although good extrapolations to the complete basis set limit for the IP are achievable using just the aug-cc-pVDZ and aug-cc-pVTZ basis sets, deviations of the extrapolation from experimental values suggest that inclusion of higher order "triples" may make the computational method more broadly applicable. Examination of experimental spectra for ethylene, E-2-butene, 2,5-dihydrofuran and pyrrole reinforces the observations of Davidson and Jarzęcki1 that experimental vertical IPs are usually extracted from experimental data in a manner that does not account for band asymmetries, making direct comparison to computations difficult. Despite the good agreement with experiment when using the aug-cc-pVDZ basis set, for the molecules investigated most of these reported experimental IPs are below the actual value, likely by no more than 0.4 eV. This set of 53 molecules is recommended as a benchmark comparison set for computational and experimental IP results.<br></div> </div> </div>


2018 ◽  
Author(s):  
Danilo Carmona ◽  
David Contreras ◽  
Oscar A. Douglas-Gallardo ◽  
Stefan Vogt-Geisse ◽  
Pablo Jaque ◽  
...  

The Fenton reaction plays a central role in many chemical and biological processes and has various applications as e.g. water remediation. The reaction consists of the iron-catalyzed homolytic cleavage of the oxygen-oxygen bond in the hydrogen peroxide molecule and the reduction of the hydroxyl radical. Here, we study these two elementary steps with high-level ab-initio calculations at the complete basis set limit and address the performance of different DFT methods following a specific classification based on the Jacob´s ladder in combination with various Pople's basis sets. Ab-initio calculations at the complete basis set limit are in agreement to experimental reference data and identified a significant contribution of the electron correlation energy to the bond dissociation energy (BDE) of the oxygen-oxygen bond in hydrogen peroxide and the electron affinity (EA) of the hydroxyl radical. The studied DFT methods were able to reproduce the ab-initio reference values, although no functional was particularly better for both reactions. The inclusion of HF exchange in the DFT functionals lead in most cases to larger deviations, which might be related to the poor description of the two reactions by the HF method. Considering the computational cost, DFT methods provide better BDE and EA values than HF and post--HF methods with an almost MP2 or CCSD level of accuracy. However, no systematic general prediction of the error based on the employed functional could be established and no systematic improvement with increasing the size in the Pople's basis set was found, although for BDE values certain systematic basis set dependence was observed. Moreover, the quality of the hydrogen peroxide, hydroxyl radical and hydroxyl anion structures obtained from these functionals was compared to experimental reference data. In general, bond lengths were well reproduced and the error in the angles were between one and two degrees with some systematic trend with the basis sets. From our results we conclude that DFT methods present a computationally less expensive alternative to describe the two elementary steps of the Fenton reaction. However, choice of approximated functionals and basis sets must be carefully done and the provided benchmark allows a systematic validation of the electronic structure method to be employed


Sign in / Sign up

Export Citation Format

Share Document