W4 thermochemistry of P_2 and P_4. Is the CODATA heat of formation of phosphorus atom correct?

The high-accuracy W4 computational thermochemistry protocol, and several post-W4 methods, have been applied to the P${}_2$ and P${}_4$ molecules. Contrary to previous studies, we find the experimental thermochemistry to be fundamentally sound. The reaction enthalpy for P${}_4\to 2$P${}_2$ has a very significant contribution from post-CCSD(T) correlation effects. We derive a gas-phase heat of formation for the phosphorus atom of $\Delta H^\circ_{f,0}$[P(g)]=75.54$\pm$0.1kcal\mathrm{/}moland$\Delta H^\circ_{f,298}$[P(g)]=75.74$\pm$0.1 kcal/mol, in the upper half of the CODATA uncertainty interval.