Accurately modeling
heterogeneous catalysis requires accurate descriptions
of rate-controlling elementary reactions of molecules on metal surfaces,
but standard density functionals (DFs) are not accurate enough for
this. The problem can be solved with the specific reaction parameter
approach to density functional theory (SRP-DFT), but the transferability
of SRP DFs among chemically related systems is limited. We combine
the MS-PBEl, MS-B86bl, and MS-RPBEl semilocal made simple (MS) meta-generalized
gradient approximation (GGA) (mGGA) DFs with rVV10 nonlocal correlation,
and we evaluate their performance for the hydrogen (H
2
)
+ Cu(111), deuterium (D
2
) + Ag(111), H
2
+ Au(111),
and D
2
+ Pt(111) gas-surface systems. The three MS mGGA
DFs that have been combined with rVV10 nonlocal correlation were not
fitted to reproduce particular experiments, nor has the
b
parameter present in rVV10 been reoptimized. Of the three DFs obtained
the MS-PBEl-rVV10 DF yields an excellent description of van der Waals
well geometries. The three original MS mGGA DFs gave a highly accurate
description of the metals, which was comparable in quality to that
obtained with the PBEsol DF. Here, we find that combining the three
original MS mGGA DFs with rVV10 nonlocal correlation comes at the
cost of a slightly less accurate description of the metal. However,
the description of the metal obtained in this way is still better
than the descriptions obtained with SRP DFs specifically optimized
for individual systems. Using the BornâOppenheimer static surface
(BOSS) model, simulations of molecular beam dissociative chemisorption
experiments yield chemical accuracy for the D
2
+ Ag(111)
and D
2
+ Pt(111) systems. A comparison between calculated
and measured
E
1/2
(Μ,
J
) parameters describing associative desorption suggests chemical
accuracy for the associative desorption of H
2
from Au(111)
as well. Our results suggest that ascending Jacobâs ladder
to the mGGA rung yields increasingly more accurate results for gas-surface
reactions of H
2
(D
2
) interacting with late transition
metals.