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  2. Phase diagram - Wikipedia

    en.wikipedia.org/wiki/Phase_diagram

    The phase diagram shows, in pressure–temperature space, the lines of equilibrium or phase boundaries between the three phases of solid, liquid, and gas. The curves on the phase diagram show the points where the free energy (and other derived properties) becomes non-analytic: their derivatives with respect to the coordinates (temperature and ...

  3. CALPHAD - Wikipedia

    en.wikipedia.org/wiki/CALPHAD

    CALPHAD stands for Computer Coupling of Phase Diagrams and Thermochemistry, a methodology introduced in 1970 by Larry Kaufman, originally known as CALculation of PHAse Diagrams. [1] [2] [3] An equilibrium phase diagram is usually a diagram with axes for temperature and composition of a chemical system. It shows the regions where substances or ...

  4. Phase (matter) - Wikipedia

    en.wikipedia.org/wiki/Phase_(matter)

    An unusual feature of the water phase diagram is that the solid–liquid phase line (illustrated by the dotted green line) has a negative slope. For most substances, the slope is positive as exemplified by the dark green line. This unusual feature of water is related to ice having a lower density than liquid water.

  5. Phase space - Wikipedia

    en.wikipedia.org/wiki/Phase_space

    The phase space can also refer to the space that is parameterized by the macroscopic states of the system, such as pressure, temperature, etc. For instance, one may view the pressure–volume diagram or temperature–entropy diagram as describing part of this phase space. A point in this phase space is correspondingly called a macrostate.

  6. Critical point (thermodynamics) - Wikipedia

    en.wikipedia.org/wiki/Critical_point...

    A plot of typical polymer solution phase behavior including two critical points: a LCST and an UCST. The liquid–liquid critical point of a solution, which occurs at the critical solution temperature, occurs at the limit of the two-phase region of the phase diagram. In other words, it is the point at which an infinitesimal change in some ...

  7. Lever rule - Wikipedia

    en.wikipedia.org/wiki/Lever_rule

    In chemistry, the lever rule is a formula used to determine the mole fraction (x i) or the mass fraction (w i) of each phase of a binary equilibrium phase diagram.It can be used to determine the fraction of liquid and solid phases for a given binary composition and temperature that is between the liquidus and solidus line.

  8. Allotropes of iron - Wikipedia

    en.wikipedia.org/wiki/Allotropes_of_iron

    Low-pressure phase diagram of pure iron. BCC is body centered cubic and FCC is face-centered cubic. Iron-carbon eutectic phase diagram, showing various forms of Fe x C y substances. Iron allotropes, showing the differences in structure. The alpha iron (α-Fe) is a body-centered cubic (BCC) and the gamma iron (γ-Fe) is a face-centered cubic (FCC).

  9. Phase portrait - Wikipedia

    en.wikipedia.org/wiki/Phase_portrait

    Phase portrait of damped oscillator, with increasing damping strength. The equation of motion is x ¨ + 2 γ x ˙ + ω 2 x = 0. {\displaystyle {\ddot {x}}+2\gamma {\dot {x}}+\omega ^{2}x=0.} In mathematics , a phase portrait is a geometric representation of the orbits of a dynamical system in the phase plane .