V. Luzzati, POLYMORPHISM OF LIPID-WATER SYSTEMS - EPITAXIAL RELATIONSHIPS, AREA-PER-VOLUME RATIOS, POLAR APOLAR PARTITION, Journal de physique. II, 5(11), 1995, pp. 1649-1669
The original purpose of this work was to seek an explanation of the em
pirical observation that pairs of phases in thermodynamic equilibrium
often display an epitaxial relationship. Considering that the polar/ap
olar interfacial interactions appear to play a predominant role among
all the forces that stabilize the phases, there is ground for the prop
osition that the two phases involved in any particular phase transitio
n consist of structure elements whose area/volume ratio is invariant.
Volume and area of the structure elements can be expressed as function
s of the water content and the cell parameters of the two coexisting p
hases: their values can thus be determined experimentally. The volume
ratio (structure elements)/(lipid molecules) is equivalent to a partit
ion coefficient. These ideas were applied to a large variety of data a
vailable in the literature. The partition coefficient was found to dis
play wide variations, remarkably correlated with the chemical and the
physical parameters of the system, suggesting that the segregation of
the hydrocarbon chains away from the polar headgroups is not as sharp
as it is commonly assumed. The notion of a variable polar/apolar parti
tion is a novelty in the field; moreover, this partition coefficient m
ay well turn into an interesting thermodynamic parameter. As to the si
gnificance of the epitaxial relationships, a search through the litera
ture shows that its very existence has many exceptions. In order to ex
plain these observations the conjecture is put forward that the epitax
ial coincidences have a kinetic effect on the phase transitions. In pa
rticular, it is suggested that any transition involving epitaxially re
lated phases is unlikely to display metastable states. The possibility
is also evoked that a selective advantage (be it technological, biolo
gical or experimental) may be associated with the existence of epitaxi
al relationships. This conjecture is illustrated by several examples d
rawn from the literature.