Sv. Pai et al., COMPARATIVE-STUDY OF NONLOCAL DENSITY-FUNCTIONAL THEORY AND AB-INITIOMETHODS - THE POTENTIAL-ENERGY SURFACE OF SYM-TRIAZINE REACTIONS, Journal of physical chemistry, 100(38), 1996, pp. 15368-15382
Stable points and transition states on the potential energy surface (P
ES) for sym-triazine (C3N3H3) have been calculated by using nonlocal d
ensity functional (NDFT) methods. Two decomposition mechanisms for sym
-triazine are investigated. The first is a concerted triple dissociati
on of the sym-triazine ring to form the HCN products. Three-fold symme
try is maintained along the reaction path for this mechanism. The seco
nd is a stepwise decomposition mechanism involving the formation of an
intermediate dimer species. The NDFT results, including structures, r
elative energies, harmonic vibrational frequencies, and corresponding
eigenvectors, are compared with previously reported nb initio calculat
ions. These results include critical points located and characterized
through normal mode analyses at the MP2 level. QCISD(T) energy refinem
ents of the MP2 critical points are used for the comparison of DFT pre
dictions. Basis set size dependence is also examined. The nonlocal den
sity functionals used are the exchange functional of Becke and the cor
relation energy functional of Perdew (BP86), Becke's exchange and the
correlation energy functional of Lee, Yang, and Parr (BLYP), Becke's t
hree-parameter hybrid exchange functional with the LYP correltation en
ergy functional (B3LYP), and the Becke exchange with Perdew and Wang's
1991 gradient-corrected correlation functional (BPW91). Basis sets us
ed are 6-31G*, 6-311++G**, and cc-pVTZ. The reaction endothermicity p
redicted by B3LYP and BPW91 are in closer agreement with experiment th
an the QCISD(T) and MP2 predictions using the largest basis set. B3LYP
predictions are within 1.1 kcal/mol of experiment. BPW91, BPSG, and B
LYP frequencies agree most closely with experimental values for sym-tr
iazine and HCN. DFT eigenvectors corresponding to vibrational modes fo
r critical points on the PES compare well with MP2 predictions for mos
t modes, indicating similarity in force fields and, therefore, atomic
motion for the vibrations. Geometries predicted by all methods are in
excellent agreement with experimental values for sym-triazine and HCN.
All methods predict that the concerted triple-dissociation mechanism
is the low-energy decomposition pathway for sym-triazine. DFT predicti
ons of energies along the reaction path for the concerted triple-disso
ciation reaction are in qualitative agreement with MP2. All DFT method
s predict structures of species along the reaction path that are in qu
antitative agreement with MP2 predictions.