Bj. Lynch et Dg. Truhlar, How well can hybrid density functional methods predict transition state geometries and barrier heights?, J PHYS CH A, 105(13), 2001, pp. 2936-2941
We compare hybrid Hartree-Fock density-functional theory to ab initio appro
aches for locating saddle point geometries and calculating barrier heights
on a Born-Oppenhiemer potential energy surface. We located reactant, produc
t, and saddle point stationary points for 22 reactions by the MP2 and QCISD
ab initio methods and the B3LYP, BH&HLYP, mPW1PW91, and MPW1K hybrid Hartr
ee-Fock DFT methods. We examined all of these methods with two basis sets,
6-31+G(d,p) and MG3. By comparison to calculations on five systems where th
e saddle point has been optimized at a high level of theory, we determined
that the best saddle point geometries were obtained using the MPW1K and QCI
SD levels of theory. Of the methods tested, mPW1PW91 and B3LYP are the leas
t effective for determining saddle point geometries and have;mean unsigned
error in barrier heights of 3.4-4.2 kcal/mol, depending on the basis set. I
n contrast, the MPW1K level of theory predicts the most accurate saddle poi
nt geometries and has a mean unsigned error of only 1.5 kcal/mol for either
basis set. for even better accuracy, the combination of MPW1K/G-31+G(d,p)
geometry calculations with QCISD(T)/MG3 or CCSD(T)/MG3 single-point energy
calculations is shown to have an excellent performance-to-cost ratio. As a
side product of this work, we report optimized scale factors for computing
zero point energies by MPWIK.