The Phase Rule

Fink, Johannes Karl

doi:10.1007/978-3-642-01014-9_7

Cited by 1 publication

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“…Its basic mathematical expression is P + F = C + 2, where C is the number of components, P is the number of stable phases in the system, and F is the number of independent variables (also called degrees of freedom). The deduction of the phase rule and its applications can be found in many textbooks. ,,− In this equation, C + 2 represents the maximum number of phases that can coexist in equilibrium, since F can never be less than zero . Moreover, to define the state of a phase in a three-component system, no more than four variables need to be specified (temperature, pressure, and two compositions).…”

Section: The Phase Rule and Phase Diagram Interpretationmentioning

confidence: 99%

Phase Relations in Ternary Systems in the Subsolidus Region: Methods To Formulate Solid Solution Equations and To Find Particular Compositions

et al. 2017

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A good understanding of ternary phase diagrams is required to advance and/or to reproduce experimental research in solid-state and materials chemistry. The aim of this paper is to describe the solutions to problems that appear when studying or determining ternary phase diagrams. A brief description of the principal features shown in phase diagrams of ternary systems in the subsolidus region is included. We present a systematic procedure to obtain specific compositions of particular interest as well as to calculate binary and ternary ratios of compounds inside the Gibbs triangle and a step-by-step methodology to formulate solid solution equations in binary, ternary, or higher-composition compounds. Specific problems and their solutions are presented as a practical guide, linking the learned concepts with their applications in ceramics and solid-state chemistry research. In addition, ready-to-go exercises with worked-out solutions are included for practice. The procedures described herein may be helpful to those interested in phase diagram interpretation, preparation, and analysis.

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Section: The Phase Rule and Phase Diagram Interpretationmentioning

confidence: 99%