Generalized phase diagram

KUMZING, G. E RuHATCU, N. D., ZalI ASH, A. and Myler, C. A. Powder Technol. 51 (1987) 135. Pneumatic transport — a review (Generalized phase diagram approach to pneumatic transport). 

Figure 5.10. The generalized phase diagram, at atmospheric pressure, for trivalent (not Eu and Yb) intra-lanthanide alloys. The so-called systematization number is shown according to Gschneidner and Calderwood (1986). Notice that, in principle, the same behaviour should be expected for every mixture of any two trivalent lanthanides as long as the same (averaged) systematization number is calculated (see the text).

The applications and the limits (for instance in the case of cerium and in some cases regarding the formation of the 6 phase) of these concepts have been discussed by Gschneidner and Calderwood (1986) and high-pressure generalized phase diagrams have also been presented. 

Fig. 13 Generalized phase diagram for the (TMTSF)2X and (TMTTF)2X by Jerome [195]. CL, SP, SDW, and SC refer to charge-localized (which corresponds to charge-ordered state), sprn-Peierls, spin density wave, and superconducting states, respectively, (a) (TlVrrTF)2PF6, (b) (TMTTF>2Br, (c) (TMTSF)2PF6, (d) (TMTSF)2C104...

GENERAL PHASE DIAGRAM (FROM MANY GROUPS)... 

Fig. 63 Generalized phase diagram of the metal-insulator transition in V203 as a function of doping with Cr or Ti and as a function of pressure, showing the critical point...

III - GENERAL PHASE DIAGRAMS FOR ALUMINOUS CLAY MINERAL ASSEMBLAGES... 

Fig. 2.7. Generalized phase diagram for the TM2A salts. The different states mean charge localized (CL), spin-Peierls (SP), spin density wave (SDW), eind superconducting (SC). The arrows indicate the ambient pressure location of some compounds described in the text. Prom [62]...

Figure 10 General phase diagram for the DCNQI-Cu salts.

This general phase diagram was originally suggested to us by N. Katoh. 

Shaw, J.M. Towards common generalized phase diagrams for asphaltene containing hydrocarbon fluids. ACS, Petrol. Div. Prepr. 2002, 47 (4), 338-342. 

The fluorescence and isotherm measurements are consistent with the generalized phase diagram for fatty acids shown schematically in Fig. 12. Presumably the G-LE coexistence region ends in a critical point but none of the measurements that have been carried out can fix and define the asymptotic shape of the coexistence curve with any precision. The measurements show a clear narrowing of the range of LE-LC coexistence, which suggests that this may end at some sort of critical point as well, but here again experiments do not yet provide much direct information. 

Note added in proof Recent x-ray studies of docosanoic acid monolayers demonstrate the existence of three condensed phases (H. Mdhwald, private communication). Fluorescence measurements on esters (K. Stine and C. M. Knobler, unpublished) show evidence of a phase transitions between two LC phases. Thus, the generalized phase diagram discussed in Section VI is clearly oversimplified. 

Fig. 4.28 Generalized phase diagram. Only a supercritical fluid exists above the critical temperature (T ) and critical pressure (p ), which has properties intermediate between liquid and gas. (Note water is unusual in having a negative slope for the solid-liquid phase equilibrium line.)...

Deviations from the general trend exist within this group. Fibrous sulfur does not have the A8 structure of selenium and tellurium, and the helical sulfur molecule ( 83) is different from the helical selenium molecule ( Si). Also tellurium rings have not been observed, and metallic sulfur does not have properties similar to metallic tellurium or polonium. Thus, any generalized phase diagram will have serious limitations. 

Figure 1 Generalized phase diagram for a pure substance showing the locations of the supercritical and near-critical regions.

Fig. 14. (a) General phase diagram for the submonolayer Al/Si(100) system as determined by LEED-AES [8913]. (b) Refined phase diagram for the low-temperature range [95Y3],... 

---