Analytic second derivatives for semiempirical models based on MNDO

An improved parameterization procedure for NDDO-descendant semi-empirical methods

CONCEPT

MNDO-based semi-empirical methods in quantum chemistry have found widespread application in the modelling of large and complex systems. A method for the analytic evaluation of first and second derivatives of molecular properties against semi-empirical parameters in MNDO-based NDDO-descendant models is presented, and the resultant parameter Hessian is compared against the approximant currently used in parameterization for the PMx models.

METHODS

As a proof of concept, the exact parameter Hessian is employed in a limited reparameterization of MNDO for the elements C, H, N, O and F using 1206 molecules for reference data (heats of formation, ionization energies, dipole moments and reference geometries). The correctness of our MNDO implementation was verified by comparing the calculated molecular properties with the MOPAC program.

Structural Significance of Conformational Preferences and Ribose-Ring-Puckering of Hyper Modified Nucleotide 5'-Monophosphate 2-Methylthio Cyclic N6-Threonylcarbamoyladenosine (p-ms2ct6A) Present at 37th Position in Anticodon Loop of tRNALys

Structural significance of conformational preferences and ribose ring puckering of newly discovered hyper modified nucleotide, 5'-monophosphate 2-methylthio cyclic N⁶-threonylcarbamoyladenosine (p-ms²ct⁶A) have been investigated using quantum chemical semi-empirical RM1 and molecular dynamics simulation techniques. Automated geometry optimization of most stable structure of p-ms²ct⁶A has also been carried out with the help of abinitio (HF SCF, DFT) as well as semi empirical quantum chemical (RM1, AM1, PM3, and PM6) methods. Most stable structure of p-ms²ct⁶A is stabilized by intramolecular interactions between N(3)…HC(2'), N(1)…HC(16), O(13)…HC(15), and O(13)…HO(14). The torsion angles alpha (α) and beta (β) show the significant characteristic patterns with the involvement of intramolecular hydrogen bonding to provide stability to the p-ms²ct⁶A. Further, molecular dynamics simulations of p-ms²ct⁶A revealed the role of ribose sugar ring puckering i.e. C2'-endo and C3'-endo on the structural dynamics of ms²ct⁶A side chain. The modified nucleotide p-ms²ct⁶A periodically prefers both the C2'-endo and C3'-endo sugar with 'anti' and 'syn' conformations. This property of p-ms²ct⁶A could be useful to recognize the starting ANN codons. All atom explicit MD simulation of anticodon loop (ACL) of tRNA^Lys of Bacillus subtilis containing ms²ct⁶A at 37th position showed the U-turn feature, base stacking ability with other adjacent bases and hydrogen bonding interactions similar to the isolated base p-ms²ct⁶A. The ribose sugar puckering contributes to the orientation of the side chain conformation of p-ms²ct⁶A. Thus, the present study could be helpful to understand the structure-function relationship of the hypermodified nucleoside, ms²ct⁶A in recognition of the proper codons AAA/AAG during protein biosynthesis.

Benchmarking quantum mechanical methods for calculating reaction energies of reactions catalyzed by enzymes

To assess the accuracy of different quantum mechanical methods for biochemical modeling, the reaction energies of 20 small model reactions (chosen to represent chemical steps catalyzed by commonly studied enzymes) were calculated. The methods tested included several popular Density Functional Theory (DFT) functionals, second-order Møller Plesset perturbation theory (MP2) and its spin-component scaled variant (SCS-MP2), and coupled cluster singles and doubles and perturbative triples (CCSD(T)). Different basis sets were tested. CCSD(T)/aug-cc-pVTZ results for all 20 reactions were used to benchmark the other methods. It was found that MP2 and SCS-MP2 reaction energy calculation results are similar in quality to CCSD(T) (mean absolute error (MAE) of 1.2 and 1.3 kcal mol−1, respectively). MP2 calculations gave a large error in one case, and are more subject to basis set effects, so in general SCS-MP2 calculations are a good choice when CCSD(T) calculations are not feasible. Results with different DFT functionals were of reasonably good quality (MAEs of 2.5–5.1 kcal mol−1), whereas popular semi-empirical methods (AM1, PM3, SCC-DFTB) gave much larger errors (MAEs of 11.6–14.6 kcal mol−1). These results should be useful in guiding methodological choices and assessing the accuracy of QM/MM calculations on enzyme-catalyzed reactions.