Phase transition pressure, effect

Jones, O.E. and Graham, R.A., Shear Strength Effects on Phase Transition Pressures Determined from Shock Compression Experiments, in Accurate Characterization of the High Pressure Environment (edited by Lloyd, E.C., National Bureau of Standards Special Publication 326, US Government Printing Office, Washington, DC, 1971, pp. 229-242. 

Very little is known about the motions of lipid bilayers at elevated pressures. Of particular interest would be the effect of pressure on lateral diffusion, which is related to biological functions such as electron transport and some hormone-receptor interactions. Pressure effects on lateral diffusion of pme lipid molecules and of other membrane components have yet to be carefully studied, however. Figure 9 shows the pressure effects on the lateral self diffusion coefficient of sonicated DPPC and POPC vesicles [86]. The lateral diffusion coefficient of DPPC in the liquid-crystalline (LC) phase decreases, almost exponentially, with increasing pressure from 1 to 300 bar at 50 °C. A sharp decrease in the D-value occurs at the LC to GI phase transition pressure. From 500 bar to 800 bar in the GI phase, the values of the lateral diffusion coefficient ( IT0 cm s ) are approximately constant. There is another sharp decrease in the value of the lateral diffusion coefficient at the GI-Gi phase transition pressure. In the Gi phase, the values of the lateral diffusion coefficient ( 1-10"" cm s ) are again approximately constant. 

The present paper focuses on the application of the electron gas model to the calculation of mineral properties, particularly crystal structures, cohesive energies, electron densities, compressibilities, and pressure-induced phase transitions. The effects of partial covalent bonding, or equivalently the non-spherical distortions of the ions, on these properties are addressed. 

SCF processing is no different. In fact, a phase behaviour analysis is vital as it provides an estimation of the operating pressitfes required and also indicates whether separation fi om other components will be possible. This section will focus on the phase behavioiu of palmitic acid, methyl palmitate, ethyl pahnitate and tripalmitin in SC CO2, ethane and propane and concentrate on the data available and trends observed therein. In addition, the three solvents will be eompared and the effect of co-solvents, often used to decrease the operating pressiu e, will be eonsidered. In particular this section will focus on the phase transition pressures of the systems studied. The phase transition pressure indieates the pressitfe required for total solubility at the said temperature and composition. For the type of systems studied here, a higher phase transition pressure leads to a lower solubility, therefore lower phase transition pressures indieate improved solubility. 

All four systems behave in a generally similar manner. For VLE an increase in temperature leads to an increase in phase transition pressure, resulting in a decrease in solubility. For the VSE the C02/pahnitic acid system showed the opposite temperature effect while insufficient data are available to comment on the temperature dependence of solid tripalmitin in SC CO2. However, both the C02/palmitic acid and C02/tripalmitin systems showed that the solid solubility is approximately an order of magnitude less than that of the liquid. 

The heat released from a sample during a process flows into the calorimeter and would cause a temperature change of the latter as a measuring effect this thermal effect is continuously suppressed by compensating the respective heat flow. The methods of compensation include the use of latent heat caused by a phase transition, thermoelectric effects, heats of chemical reactions, a change in the pressure of an ideal gas (Ter Minassian and Million, 1983), and heat exchange with a liquid (Regenass, 1977). Because the last three methods are confined to special cases, only the compensation by a physical heat of transition and by electric effects are briefly discussed here. 

Finally, the use of the constant pressure minimization algorithm allows searching for phenomena that can be considered as precursors of pressure-induced transitions. For example, the predicted behaviour of the anatase cell constants as a function of pressure shows that the a(P) and c(P) plots are only linear for P<4 GPa, the value that is close to both the theoretical and experimental transition pressures. At higher pressures the a constant starts to grow under compression, indicating inherent structural instability. In the case of ratile there is a different precursor effect, nami y at 11 GPa the distances between the titanium atom and the two different oxygens, axial and equatorial, become equal. Once again, the pressure corresponds closely to the phase transition point. 

It has been shown that ab initio total energy DFT approach is a suitable tool for studies of phase equilibria at low temperatures and high pressures even when small energy differences of the order of 0.01 eV/mol are involved. The constant pressure optimization algorithm that has been developed here allows for the calculation of the equation of state for complex structures and for the study of precursor effects related to phase transitions. 

Ruckenstein and Li proposed a relatively simple surface pressure-area equation of state for phospholipid monolayers at a water-oil interface [39]. The equation accounted for the clustering of the surfactant molecules, and led to second-order phase transitions. The monolayer was described as a 2D regular solution with three components singly dispersed phospholipid molecules, clusters of these molecules, and sites occupied by water and oil molecules. The effect of clusterng on the theoretical surface pressure-area isotherm was found to be crucial for the prediction of phase transitions. The model calculations fitted surprisingly well to the data of Taylor et al. [19] in the whole range of surface areas and the temperatures (Fig. 3). The number of molecules in a cluster was taken to be 150 due to an excellent agreement with an isotherm of DSPC when this... 

Allegre CJ, Dupre B, Lewin E (1986) Thorium/uranium ratio of the Earth. Chem Geol 56 217-227 Allegre CJ, Turcotte D (1986) Implications of a two-component marble-cake mantle. Nature 323 123-127 Asimow PD, Hirschmann MM, Ghiorso MS, O Hara MJ Stolper EM (1995) The effect of pressure-induced solid-solid phase transitions on decompression melting of the mantle. Geochim Cosmochim Acta 59 4489-4506... 

Figures 46 and 47 show the effect of successive incorporation of meso-diastereomer on the phase transition characteristic of the ( )-isomer as the concentration of meso-isomer increases, the phase transition surface pressure IT occurs at higher n. The same result was found (Arnett et al., 1988b) for mixtures of ( )- and meso-C-15 6,6 and C-15 9,9, which are not shown here. According to the surface phase rule, this is indicative of...

Figure 8. (A) Schematic representation of the shape of the function f(rt). The arrows represent the first order like phase transition effect. The two straight lines are f(tt) = 17.5tt + 20.0 and f(n) = O.Olrc, respectively. (B) Schematic representation of the relationship between the surface pressure (ji) and the effective concentration of surfactant at the air/water interface (T f). The solid and dashed lines represent the expected and ideal relationships, respectively.

The effects of pressure on the phase transition of liquid water to ice (and within the ice phase itself) are complicated by the formation of several pressure-dependent ice polymorphs (Chaplin, 2004 Franks, 1984, 2000 Kalichevsky et al., 1995 Ludwig, 2001). Thirteen crystalline forms of ice have been reported to date Ih (hexagonal or normal or regular ice), Ic (cubic... 

To summarize, in the present scenario pure hadronic stars having a central pressure larger than the static transition pressure for the formation of the Q -phase are metastable to the decay (conversion) to a more compact stellar configuration in which deconfined quark matter is present (i. e., HyS or SS). These metastable HS have a mean-life time which is related to the nucleation time to form the first critical-size drop of deconfined matter in their interior (the actual mean-life time of the HS will depend on the mass accretion or on the spin-down rate which modifies the nucleation time via an explicit time dependence of the stellar central pressure). We define as critical mass Mcr of the metastable HS, the value of the gravitational mass for which the nucleation time is equal to one year Mcr = Miis t = lyr). Pure hadronic stars with Mh > Mcr are very unlikely to be observed. Mcr plays the role of an effective maximum mass for the hadronic branch of compact stars. While the Oppenheimer-Volkov maximum mass Mhs,max (Oppenheimer Volkov 1939) is determined by the overall stiffness of the EOS for hadronic matter, the value of Mcr will depend in addition on the bulk properties of the EOS for quark matter and on the properties at the interface between the confined and deconfined phases of matter (e.g., the surface tension a). 

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