1. This project has received funding from the European Union’s Horizon 2020
research and innovation programme under grant agreement No 869993.
Phase diagrams
2. Phase diagrams of single substance
• Phase diagrams have the lines of equilibrium,
where multiple phases can coexist.
• The simplest phase diagrams present the
phases of a single substance in
different temperature and pressure
conditions.
• From the phase diagram, you can read the
phase of the substance in specific conditions.
• The blue line marks the boiling point and the
solid green line marks the melting point in
particular pressure-temperature conditions.
• The dotted green line shows the special
behaviour of water.
Picture: Brews ohare CC BY-SA 3.0
3. Triple point and critical point
• The red line points the conditions where
sublimation and desublimation may occur.
• In the triple point the lines of equilibrium
intersect. All three phases may occur
simultaneously in those conditions.
• At the end of the phase equilibrium curve is
a critical point. In those conditions liquid
and vapor phases become
indistinguishable.
• Critical point is defined by critical
temperature Tc and critical pressure Pc. At
higher temperatures, gas cannot be
liquefied by pressure.
Picture: Brews ohare CC BY-SA 3.0
4. Phase diagram of water
• Pressure increases the
boiling point of water. That
is typical for most of the
substances.
• Pressure decreases the
melting point of water,
which makes water an
unusual substance.
• Triple point of water:
273.16 K and 611.657 Pa
• Critical point of water:
647 K and 20.064 MPa
Picture: Cmglee CC BY-SA 3.0
5. Binary phase diagrams
• In a binary system there are three
variables that can affect the phase
equilibrium: temperature, pressure
and concentration.
• There are many kinds of binary
phase diagrams. Here is a simple
example.
• Pressure is usually atmospheric in
crystallization processes, so the
phase changes can be represented
on a temperature-concentration
diagram.
Picture: Kati Jordan CC BY-SA 4.0
6. Simple example
• x-axis: composition of two subtances
• If concentration is 10
%, it means that there is 10 %
of the substance B and 90 %
of substance A.
• y-axis: temperature
• From the diagram, you can read
present phases as a function of
concentration and temperature.
• Above the liquidus line, substance
is in liquid phase. Below the solidus
line, substance is in solid phase.
Picture: Kati Jordan CC BY-SA 4.0
7. This project has received funding from the European Union’s Horizon 2020
research and innovation programme under grant agreement No 869993.
References
Beckmann, W (ed.) 2013. Crystallization: Basic Concepts and Industrial Applications. Weinheim:
Wiley‐VCH Verlag GmbH & Co. KGaA. Pp. 36-38.
Mullin, J. W. 2001. Crystallization. Oxford: Elsevier Science & Technology, pp. 135-141.
Videos:
• Binary phase diagrams explained: https://youtu.be/7Ym-QyLpsiE
• Basic information about phase changes: https://youtu.be/oc0ypeDELb0