Specific
reaction parameter density functionals (SRP-DFs), which
can describe dissociative chemisorption reactions on metals to within
chemical accuracy, have so far been based on exchange functionals
within the generalized gradient approximation (GGA) and on GGA correlation
functionals or van der Waals correlation functionals. These functionals
are capable of describing the molecule–metal surface interaction
accurately, but they suffer from the general GGA problem that this
can be done only at the cost of a rather poor description of the metal.
Here, we show that it is possible also to construct SRP-DFs for H2 dissociation on Cu(111) based on meta-GGA functionals, introducing
three new functionals based on the “made-simple” (MS)
concept. The exchange parts of the three functionals (MS-PBEl, MS-B86bl,
and MS-RPBEl) are based on the expressions for the PBE, B86b, and
RPBE exchange functionals. Quasi-classical trajectory (QCT) calculations
performed with potential energy surfaces (PESs) obtained with the
three MS functionals reproduce molecular beam experiments on H2, D2 + Cu(111) with chemical accuracy. Therefore,
these three non-empirical functionals themselves are also capable
of describing H2 dissociation on Cu(111) with chemical
accuracy. Similarly, QCT calculations performed on the MS-PBEl and
MS-B86bl PESs reproduced molecular beam and associative desorption
experiments on D2, H2 + Ag(111) more accurately
than was possible with the SRP48 density functional for H2 + Cu(111). Also, the three new MS functionals describe the Cu, Ag,
Au, and Pt metals more accurately than the all-purpose Perdew–Burke–Ernzerhof
(PBE) functional. The only disadvantage we noted of the new MS functionals
is that, as found for the example of H2 + Cu(111), the
reaction barrier height obtained by taking weighted averages of the
MS-PBEl and MS-RPBEl functionals is tunable over a smaller range (9
kJ/mol) than possible with the standard GGA PBE and RPBE functionals
(33 kJ/mol). As a result of this restricted tunability, it is not
possible to construct an SRP-DF for H2 + Ag(111) on the
basis of the three examined MS meta-GGA functionals.