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We note that the present implementation of DFT does not account for van der Waals interactions, which are imporant for an accurate description of methane in the physisorbed state; however, the governing mechanism for facile dissociation is based on a reduced Pauli repulsion, which is a strong interaction. Moreover, as the adsorption energy is low, adsorbed methane is not present on the surface under reaction conditions. However, we have investigated the initial and final states on PdO(101) using vdW-DF1
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3+H) is -0.55, -0.49, and -0.48 eV within PBE, vdW-DF1, and vdW-DF2, respectively. Thus, inclusion of van der Waals interactions with these functionals gives results similar to those of PBE
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3+H) is -0.55, -0.49, and -0.48 eV within PBE, vdW-DF1, and vdW-DF2, respectively. Thus, inclusion of van der Waals interactions with these functionals gives results similar to those of PBE
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