Extensive calculations on a large set of free radicals containing atoms of the second and third row show that the B3LYP/N07D computational model provides remarkably accurate structural parameters and magnetic tensors at reasonable computational costs. The key of this success is the optimization of core-valence s functions for hyperfine coupling constants, while retaining (and even improving) the good performances of the parent 6-31+G(d,p) basis set for valence properties through reoptimization of polarization and diffuse p functions.

The influence of the calculation method in mimicking experimental (13)C NMR chemical shifts of 15 low-polarity natural products singularly containing 10-20 carbon atoms was investigated by employing different quantum chemistry approaches and basis sets, both in the preliminary geometry optimizations and in the following single-point (13)C GIAO calculations of the NMR chemical shifts. The geometries of the involved species were optimized at the PM3, HF, B3LYP and mPW1PW91 levels whereas the (13)C NMR parameters were determined at the HF, B3LYP and mPW1PW91 levels. Different combinations of basis sets were also tested. The consistency and efficiency of the considered combinations of geometry optimizations and GIAO (13)C NMR calculations were thoroughly checked by the analysis of statistical parameters concerning computed and experimental (13)C NMR chemical shift values.

The structures, relative stabilities as well as the rotational and vibrational spectra of the three lowenergy conformers of Pyruvic acid (PA) have been characterized using a state-of-the-art quantummechanical approach designed for flexible molecules. By making use of the available experimental rotational constants for several isotopologues of the most stable PA conformer, Tc-PA, the semi-experimental equilibrium structure has been derived. The latter provides a reference for the pure theoretical determination of the equilibrium geometries for all conformers, thus confirming for these structures an accuracy of 0.001 Å and 0.1 deg. for bond lengths and angles, respectively. Highly accurate relative energies of all conformers (Tc-, Tt-and Ct-PA) and of the transition states connecting them are provided along with the thermodynamic properties at low and high temperatures, thus leading to conformational enthalpies accurate to 1 kJ mol −1 . Concerning microwave spectroscopy, rotational constants accurate to about 20 MHz are provided for the Ttand Ct-PA conformers, together with the computed centrifugal-distortion constants and dipole moments required to simulate their rotational spectra. For Ct-PA, vibrational frequencies in the mid-infrared region accurate to 10 cm −1 are reported along with theoretical estimates for the transitions in the near-infrared range, and the corresponding infrared spectrum including fundamental transitions, overtones and combination bands has been simulated. In addition to the new data described above, theoretical results for the Tc-and Tt-PA conformers are compared with all available experimental data to further confirm the accuracy of the hybrid coupled-cluster/ density functional theory (CC/DFT) protocol applied in the present study. Finally, we discuss in detail the accuracy of computational models fully based on double-hybrid DFT functionals (mainly at the B2PLYP/aug-cc-pVTZ level) that avoid the use of very expensive CC calculations.

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