Three all-electron calculations of the relative P(V) equation of state
(EOS) of LIH and LID are presented: (1) Hartree-Fock, (2) local densi
ty approximation (LDA) using the Ceperley-Alder expression for correla
tion, and (3) LDA using the Wigner expression for correlation. The res
ults agree within 1% up to 10 GPa with the experimental values, implyi
ng that the relative EOS in lithium hydrides depends only weakly on th
e electronic correlation. The possibility of cancellation of errors wi
th the LDA is discussed.