[X q ] / cm -3 FIG. . Ionic conductivities (top panels) and lithium interstitial and lithium vacancy concentrations (bottom panels) as a function of effective doping concentration r [M r ] for Li-rich and Li-poor synthesis conditions and for supervalent and subvalent doping. Dashed lines show equilibrium data calculated for synthesis conditions at 663 K. Solid lines show pseudo-equilibrium data calculated at 298 K allowing lithium interstitials and lithium vacancies to re-equilibrate under fixed total lithium content, while other defects are "frozen in" at their synthesis concentrations.