A benchmark database of forward and reverse barrier heights for 19 non-hydrogen-transfer reactions has been developed by using Weizmann 1 calculations, and 29 DFT methods and 6 ab initio wave-function theory (WFT) methods have been tested against the new database as well as against an older database for hydrogen atom transfer reactions. Among the tested hybrid DFT methods without kinetic energy...

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 § 1. Geometry, heights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 § 2. The local Fourier transform at the trivial character . . . . . . 5 § 3. The local Fourier transform at a non-trivial character . . 9 § 4. The height zeta function . . . . . . . . ....