R-phase

Null, H. R., "Phase Equilibrium in Process Design," John Wiley, New York (19 70). ... 

Nrnnber Components Fraction (K) E/R R Phase E Phase tions... 

Outside the two-phase region, ELIPS yields a value of 0 for E/F on the R-phase side and 1 for E/F on the E-phase side. Con-, vergence to these values again requires about eight or fewer iterations, except near the plait-point region where convergence is somewhat slower. 

We shall now assume that it is possible to have a system in equilibrium composed of the various phases at a specified temperature and total pressure. This will be characterised by certain definite relations between the compositions of the phases (for example, a solid salt, saturated solution, vapour of the solvent). Let 77, T = total pressure, and temperature, of the system. n = number of components (cf. 84). r = phases ... 

For each pair of phases there must be some condition (the exact nature of which is immaterial) satisfied for each component, such that this component does not pass from one phase to the other. The r phases may now be arranged in (r —1) pairs, viz., (1, 2), (2, 3), (3, 4). . . ( —1), r, and there will be therefore r — 1 conditions to be satisfied for each component in all the phases, that is, (/ — 1) equations defining the state of equilibrium. It is evident that such pairs as (1, 3), (2, 4),. . . need not be considered, since if phase (1) is in equilibrium with phase (2), and phase (2) with phase (3), then (1) will also be in equilibrium with (3), by the law of Mutual Compatibility of Phases. 

We shall first establish some relations which apply generally c to systems of n components in r phases. Let... 

A surface of separation between two phases is called a specific surface of separation, and in considering the statesof such systems it is evident that every specific surface constitutes a new independent variable. If there are n components in r phases with x specific surfaces, the Phase Rule will therefore read ... 

Kitamaru, R, Phase Structure of Polyethylene and Other Crystalline Polymers by Solid-State l3C/MNR.VoL 137, pp 41-102. 

Azema, A. Jain, K. Twieg, R. "Phase Matching Properties of Nitropyridines," Optical Society of America Annual Meeting, October 18-22, 1982 Tuscon, AZ. 

The Hume-Rothery types listed in Table 4.6 include structures of different complexity ranging from the simple close-packed (fee and hep) and bcc structures to the more complex Mn-type and 7-brass type structures. As for the hexagonal hep structures, notice that for this type several variations are known three branches of this structure are generally considered. The (-hep corresponds to the true closest packing with the value of the axial ratio da close to the ideal one ((8/3) = 1.6329. .. (see 3.7.4 and Fig. 3.16). The e-hex corresponds to da ranging around 1.55 to 1.58 and the r/ phase to c/a values of about 1.77 to 1.88. As observed by Lee and Hoistad (1995), the various hexagonal types can be considered genuinely different. 

Figure lOJ Calculated a + phase boundary for Fe-V with experimetrtal boundaries superimposed. 

Rosenthal DI, Lee JH, Sinard R. Phase I study of paclitaxel given by seven-week continuous infusion concurrent with radiation therapy for locally advanced squamous cell carcinoma of the head and neck. J Clin Oncol 2001 19 1363-1373. 

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