Table 3. Hybrid RPA:PBE and RPA:PBE+MBD Adsorption Energies, ΔE_HL,CPC(pbc) for C₂H₆/Pt(111) at PBE+MBD Optimized Structures were Used (Pt–C Distance 374 pm)^a.

ΔE/kJ mol–1	PBE	PBE + MBD
ΔELL(pbc)	–4.6	–30.1
ΔELL, CPC(C)	+0.2	–18.0
ΔEdisp(C)	–	–18.3
ΔEHL,CPC(C)	–12.8	–12.8
ΔHLCPC(C)	–13.0	+5.3
ΔLR(pbc,C)	–4.8	–12.1
ΔEHL:LL,CPC(pbc)b	–17.6	–24.9
ΔEobsd.c	–27.2

^aThe Pt₁₉ cluster in the singlet state was used.

^bThis can be summed from E_LL(pbc) + ΔHL(C) (bold) or E_HL(C) + ΔLR(pbc, C) (italics), cf. eq 2.

^cTait et al.,³⁵ see Table 1.