MICROSCOPIC MEASUREMENT OF THE LINEAR COMPRESSIBILITIES OF 2-DIMENSIONAL FATTY-ACID MESOPHASES

The linear compressibility of two-dimensional fatty acid mesophases ha s been determined by grazing incidence X-ray diffraction. The unit cel l parameters of the L-2, L-2', L-2'', S and CS phases of behenic acid CH3-(CH2)(20)-COOH and of the L-2 phase of myristic acid CH3-(CH2)(12) -COOH were determined as a function of surface pressure and temperatur e. Surface pressure versus molecular area isotherms were reconstructed from these measurements, and the linear compressibility (relative dis tortion along a given direction for a two-dimensional isotropic applie d stress) was determined both in the sample plane and in a plane norma l to the aliphatic chain director (transverse plane). The linear compr essibilities range over two orders of magnitude from 0.1 to 10 m/N and are distributed depending on their magnitude in 4 different sets whic h we are able to associate with different molecular mechanisms. The la rgest compressibilities (10 m/N) are observed in the tilted phases. Th ey are apparently independent on the chain length and could be related to the reorganization of the headgroup hydrogen-bounded network, whos e role should be revalued. Intermediate compressibilities are observed in phases with quasi long-range order (directions normal to the molec ular tilt in the L-2 or L-2' phases, S phase, and could be related to the ordering of these phases. The lowest compressibilities are observe d in the solid untilted CS phase and for one direction of the S and L- 2'' phases. They are similar to the compressibility of crystalline pol ymers and correspond to the interactions between methyl groups in the crystal. Finally, negative compressibilities are observed in the trans verse plane for the L-2' and L-2'' phases and can be traced to subtle reorganizations upon untilting.