A general approach for developing a "global" crossover EOS, which in the critical region reproduces theoretically well-established scaling laws, and in the limit of low densities is transformed into the ideal gas equation is described. Using a simple cubic EOS as a reference EOS for one-component fluids, a generalized corresponding sstate model for pure fluids and fluid mixtures, which in addition to the accentric factor ? contains also the Ginzburg Gi as a parameter is developed.

Volumetric measurements are reported for fully hydrated lipid/cholesterol bilayer mixtures using the neutral flotation method. Apparent specific volume data were obtained with the lipids DOPC, POPC and DMPC at T = 30 $[$deg$]$C, DPPC at 50 $[$deg$]$C, and brain sphingomyelin (BSM) at 45 and 24 $[$deg$]$C for mole fractions of cholesterol x from 0 to 0.5. Unlike previous cholesterol mixture studies, we converted our raw data to partial molecular volume VL of the lipid and VC of the cholesterol. The partial molecular volumes were constant for POPC and DOPC as x was varied, but had sharp breaks for the other lipids at values of xC near 0.25 +/- 0.05. Results for x xC clearly exhibit the condensation effect of cholesterol on DPPC, DMPC and BSM when measured at temperatures above their main transition temperatures TM. The break points at xC are compared to phase diagrams in the literature. For x > xC the values of the partial molecular volumes of cholesterol clustered near 630 +/- 10 A3 in all the lipids when measured for T > TM; we suggest that this is the most appropriate measure of the bare volume of cholesterol in lipid bilayers.