Comparison of Lattice-Fluid Binary Parameters For Mixtures and Block Copolymers

The aim of this report is to discuss the method of determination of lattice-fluid binary interaction parameters by comparing well characterized immiscible blends and block copolymers of poly(methyl methacrylate) (PMMA) and poly(ϵ−caprolactone) (PCL). Experimental pressure-volume-temperature (PVT) data in the liquid state were correlated with the Sanchez—Lacombe (SL) equation of state with the scaling parameters for mixtures and copolymers obtained through combination rules of the characteristic parameters for the pure homopolymers. The lattice-fluid binary parameters for energy and volume were higher than those of block copolymers implying that the copolymers were more compatible due to the chemical links between the blocks. Therefore, a common parameter cannot account for both homopolymer blend and block copolymer phase behaviors based on current theory. As we were able to adjust all data of the mixtures with a single set of lattice-binary parameters and all data of the block copolymers with another single set we can conclude that both parameters did not depend on the composition for this system. This characteristic, plus the fact that the additivity law of specific volumes can be suitably applied for this system, allowed us to model the behavior of the immiscible blend with the SL equation of state. In addition, a discussion on the relationship between lattice-fluid binary parameters and the Flory–Huggins interaction parameter obtained from Leibler's theory is presented.

The other architecture: From natural caves to excavated housing

Excavated towns are an attractive example of underground urbanism that managed to solve, in a very interesting way, thermal problems thanks to natural ground inertia or transition spaces. The aim of this paper is to show the typological evolution of excavated dwellings worldwide, as an architectural proposal and urban solution. The proposed methodology provides an analysis of underground architectures from natural caves to excavated housing, focusing on the study of global constructive solutions to specific problems. Thus, architectures as a natural geography correction (horizontal excavation), buried underground architectures (vertical excavation), subtractive architectures (shallow excavation) and combined architectures (mixed excavation) are studied. In conclusion, there are many examples of typological combinations since troglodyte architects tried to adapt the most elementary constructive rules to get greatly enriched results. These proposals of different underground structures deal with each territory and its geographical features, and obtain urban and architectural solutions transferable to current configurations.