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The Kohn–Sham (KS) solution is constructed from an accurate CI density and the KS exchange and correlation energies Ex and Ec, as well as the corresponding exchange and exchange-correlation energy densities ex(r) and exc(r), which are obtained for the hydrogen abstraction reaction H+H2 and the symmetrical four-center exchange reaction H2+H2. The KS quantities are compared with those of the standard GGAs. Comparison shows that the GGA exchange functional represents both exchange and molecular nondynamical left–right correlation, while the GGA correlation functional represents only the dynamical part of the correlation. This role of the GGA exchange functional is especially important for the transition states (TS) of the reactions where the left–right correlation is enhanced. Standard GGAs tend to underestimate the barrier height for the reaction H+H2 and to overestimate it for the reaction H2+H2. For H2+H2 the Kohn–Sham orbital degeneracy in the square TS is represented with an equi-ensemble KS solution fo...

the journal of chemical physics

Benchmark calculations of chemical reactions in density functional theory: Comparison of the accurate Kohn–Sham solution with generalized gradient approximations for the H2+H and H2+H2 reactions