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Thermodynamic Procedures for Treating the Monoclinic/Triclinic Inversion as a High-Order Phase Transition in Equations of State for Binary Analbite-Sanidine Feldspars

  • G. A. Merkel
  • J. G. Blencoe
Part of the Advances in Physical Geochemistry book series (PHYSICAL GEOCHE, volume 2)

Abstract

Many solid-state phase transitions (transformations) can be classified thermo-dynamically according to their order (Ehrenfest, 1933): an wth-order phase transition is characterized by discontinuities in the nth and all higher-order derivatives of G with respect to an intensive variable—e.g., pressure, temperature, or composition—while lower-order derivatives are continuous.1 Therefore, a first-order phase transition produces discontinuities in V, H, and μ i , because these properties are related to the first derivatives ∂G/∂P, ∂G/∂T, and ∂G/∂X i , respectively, and properties related to higher-order derivatives of G—e.g., C p=-T(∂2 G/∂T 2), α= (1/V)(2 G/∂PT), and β=-(1/V) (∂2 G/∂P 2)—also exhibit discontinuities. On the other hand, for a second-order phase transition, V, H, and μ i , are all continuous at the point of phase change, so Δ V and ΔH of transition are zero, but, C p α, and β are discontinuous. Finally, at a third-order phase transition all properties related to the first and second derivatives of G are continuous, and only third- and higher-order derivatives of G are discontinuous. In this chapter, transitions that fit into this classification scheme and whose order is greater than one will be referred to as high-order transitions.

Keywords

Phase Relation Alkali Feldspar Tricritical Point Thermal Maximum Metastable Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • G. A. Merkel
  • J. G. Blencoe

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