Extension of the PDDG/PM3 Semiempirical Molecular Orbital Method to Sulfur, Silicon, and Phosphorus

Abstract

The PDDG/PM3 semiempirical molecular orbital method has been parameterized for molecules, ions, and complexes containing sulfur; the mean absolute error (MAE) for heats of formation, DeltaH(f), of 6.4 kcal/mol is 35 - 40 % smaller than for PM3, AM1, and MNDO/d. For completeness, parameterization was also carried out for silicon and phosphorous. For 144 silicon-containing molecules, the DeltaH(f) MAE for PDDG/PM3, PM3, and AM1 is 11 - 12 kcal/mol, while MNDO/d yields 9.4 kcal/mol. For the limited set of 43 phosphorus-containing molecules, MNDO/d also yields the best results followed by PDDG/PM3, AM1, and PM3. The benefits of the d-orbitals in MNDO/d for hypervalent compounds are apparent for silicon and phosphorous, while they are masked in the larger dataset for sulfur by large errors for branched compounds. Overall, for 1480 molecules, ions, and complexes containing the elements H, C, N, O, F, Si, P, S, Cl, Br, and I, the MAEs in kcal/mol for DeltaH(f) are 6.5 (PDDG/PM3), 8.7 (PM3), 10.3 (MNDO/d), 10.8 (AM1), and 19.8 (MNDO).