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A rule for a joint of three boundary lines in phase diagrams

 a, b
a Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation
b National University of Science and Technology ‘MISIS’, Leninskii prosp. 4, Moscow, 119049, Russian Federation

The rule governing the mutual position of three boundary lines meeting at one point in a two-dimensional phase diagram is derived in a new way using the fact that a boundary line can be extended into the metastable region beyond its intersection point with another line. An improved formulation of the rule is proposed which makes it independent of the diagram axes chosen and suitable for the analysis of two-dimensional sections of phase diagrams of heterogeneous systems with any given number of components. Conditions for and some aspects of the application of the rule are considered using phase diagrams of one-, two- and three-component systems as examples.

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Fulltext is also available at DOI: 10.3367/UFNe.0183.201304d.0417
PACS: 05.70.Fh, 64.75.−g (all)
DOI: 10.3367/UFNe.0183.201304d.0417
URL: https://ufn.ru/en/articles/2013/4/c/
000321510400003
2013PhyU...56..395A
Citation: Antonov V E "A rule for a joint of three boundary lines in phase diagrams" Phys. Usp. 56 395–400 (2013)
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Received: 3rd, May 2012, revised: 8th, June 2012, 28th, June 2012

Оригинал: Антонов В Е «Правило стыка трёх граничных линий на фазовых диаграммах» УФН 183 417–422 (2013); DOI: 10.3367/UFNr.0183.201304d.0417

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  2. Ya.M. Blanter, M.I. Kaganov, D.V. Posvyanskii “De Haas-van Alphen effect as a first-order electronic topological transitionPhys. Usp. 38 203–209 (1995)
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  4. F.Ya. Khalili “Zero-point oscillations, zero-point fluctuations, and fluctuations of zero-point oscillationsPhys. Usp. 46 293–307 (2003)
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  8. V.N. Tutubalin “Probability, computers, and the processing of experimental dataPhys. Usp. 36 (7) 628–641 (1993)
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