The fitting of Antoine equation (
Equation 1) to experimental data of perfluor-n-octane,
22 allows to obtain A = 18.92, B = 5892, and C = 36.7. Experimental data points and the fitting curve are plotted in
Figure 1 that shows that the vapor pressure increases with temperature (i.e., decreases with increasing cohesion forces between the particles of the liquid). With increased temperature, the increasing number of particles on the surface of the liquid has a sufficient kinetic energy to overcome the cohesion forces to pass vapor state. The partial pressure (or the fugacity) of perfluor-n-octane in the gas phase,
PPC, is an index showing how much the liquid–vapor system is away from equilibrium. Indeed, if we assume that the vapor phase is ideal, the partial pressure takes the form where
CPC (
Equation 2) is the molar density of perfluor-n-octane in vapor phase. Generally, the vitrectomy surgery experiences a limited range of temperatures (
T1,
T2). Therefore, as a first approximation, one can assume the density and independent of temperature. Under this constrain,
Equation 2 represents a straight line in the (
T,
P) plane. Using this information we may construct an operating diagram (i.e., a plot indicating whether the work condition is favorable or not to evaporation). In the (
T,
P) plane the segments
T =
T1 and
T =
T2 and
P0(
T) describes the curve according to Antoine's equation (
Fig. 1). If the CPC value is such that
Equation 2 in satisfied for
T =
TQ, which lies within the experimental range (
T1,
T2), then the straight line (fugacity) intersects the curve
P0(
T) at a point
Q of the work domain. This intersection identifies two regions in the work region (
Fig. 1). For points in the region I, perfluor-n-octane liquid cannot evaporates at
PPC >
P0, rather the vapor condenses. On the contrary for points in the region II,
PPC <
P0 and the liquid evaporates. Obviously, the intersection in the region of work depends on the slope of the line (i.e., on the molar density of perfluor-n-octane vapor). However, the knowledge of the surface properties of the liquid and the vapor-liquid equilibrium characteristics may help the surgeon to confirm the region II at the end of vitrectomy. It is worth nothing that, as far as liquids and vapors are concerned, one normally assumes that two-phase equilibria are reached almost instantaneously. This is not strictly true because superheated liquids and supercooled vapors do occur in nature–evolution to the equilibrium state, requiring nucleation of the second phase. However, the assumption is a reasonable because the evolution toward the equilibrium state is very fast when nucleation occurs.