Beyond energies: geometry predictions with the XYG3 type of doubly hybrid density functionals

The exchange-correlation functional holds the key to the success or failure of density functional theory calculations. When evaluating the functional performances, the current literature has focused much more on the ability of the method to reproduce exact electronic energies than on exact geometries. As all calculations have to start from the right geometries, the present feature article explores the functional performances on geometry predictions involving covalently and non-covalently bonded systems, as well as transition state structures with emphasis on the XYG3 type of doubly hybrid (xDH) functionals. The results are also presented for some challenging cases, demonstrating the usefulness of the xDH functionals in general.