Triple point

In thermodynamics, the triple point of a substance is the temperature and pressure at which the three phases (gas, liquid, and solid) of that substance coexist in thermodynamic equilibrium. For example, the triple point of mercury occurs at a temperature of −38.83440 °C and a pressure of 0.2 mPa.

In addition to the triple point for solid, liquid, and gas phases, a triple point may involve more than one solid phase, for substances with multiple polymorphs. Helium-4 is a special case that presents a triple point involving two different fluid phases (lambda point).

The triple point of water is used to define the kelvin, the base unit of thermodynamic temperature in the International System of Units (SI). The value of the triple point of water is fixed by definition, rather than measured. The triple points of several substances are used to define points in the ITS-90 international temperature scale, ranging from the triple point of hydrogen (13.8033 K) to the triple point of water (273.16 K, 0.01 °C, or 32.018 °F).

The term "triple point" was coined in 1873 by James Thomson, brother of Lord Kelvin.

    Triple point of water

    Gas–liquid–solid triple point

    A typical phase diagram. The solid green line applies to most substances; the dotted green line gives the anomalous behavior of water

    The single combination of pressure and temperature at which liquid water, solid ice, and water vapor can coexist in a stable equilibrium occurs at exactly 273.16 K (0.01 °C; 32.02 °F) and a partial vapor pressure of 611.73 pascals (6.1173 mbar; 0.0060373 atm). At that point, it is possible to change all of the substance to ice, water, or vapor by making arbitrarily small changes in pressure and temperature. Even if the total pressure of a system is well above triple point of water, provided the partial pressure of the water vapor is 611.73 pascals then the system can still be brought to the triple point of water. Strictly speaking, the surfaces separating the different phases should also be perfectly flat, to negate the effects of surface tensions.

    The gas–liquid–solid triple point of water corresponds to the minimum pressure at which liquid water can exist. At pressures below the triple point (as in outer space), solid ice when heated at constant pressure is converted directly into water vapor in a process known as sublimation. Above the triple point, solid ice when heated at constant pressure first melts to form liquid water, and then evaporates or boils to form vapor at a higher temperature.

    For most substances the gas–liquid–solid triple point is also the minimum temperature at which the liquid can exist. For water, however, this is not true because the melting point of ordinary ice decreases as a function of pressure, as shown by the dotted green line in the phase diagram. At temperatures just below the triple point, compression at constant temperature transforms water vapor first to solid and then to liquid (water ice has lower density than liquid water, so increasing pressure leads to a liquefaction).

    The triple point pressure of water was used during the Mariner 9 mission to Mars as a reference point to define "sea level". More recent missions use laser altimetry and gravity measurements instead of pressure to define elevation on Mars.

    High pressure phases

    At high pressures, water has a complex phase diagram with 15 known phases of ice and several triple points including ten whose coordinates are shown in the diagram. For example, the triple point at 251 K (−22 °C) and 210 MPa (2070 atm) corresponds to the conditions for the coexistence of ice Ih (ordinary ice), ice III and liquid water, all at equilibrium. There are also triple points for the coexistence of three solid phases, for example ice II, ice V and ice VI at 218 K (−55 °C) and 620 MPa (6120 atm).

    For those high-pressure forms of ice which can exist in equilibrium with liquid, the diagram shows that melting points increase with pressure. At temperatures above 273 K (0 °C), increasing the pressure on water vapor results first in liquid water and then a high-pressure form of ice. In the range 251–273 K, ice I is formed first, followed by liquid water and then ice III or ice V, followed by other still denser high-pressure forms.

    Phase diagram of water including high-pressure forms ice II, ice III, etc. The pressure axis is logarithmic. For detailed descriptions of these phases, see Ice#Phases.

    Triple point cells

    Triple point cells are used in the calibration of thermometers. For exacting work, triple point cells are typically filled with a highly pure chemical substance such as hydrogen, argon, mercury, or water (depending on the desired temperature). The purity of these substances can be such that only one part in a million is a contaminant, called "six nines" because it is 99.9999% pure. When it is a water-based cell, a special isotopic composition called VSMOW is used because it is very pure and produces temperatures that are more comparable from lab to lab. Triple point cells are so effective at achieving highly precise, reproducible temperatures, an international calibration standard for thermometers called ITS–90 relies upon triple point cells of hydrogen, neon, oxygen, argon, mercury, and water for delineating six of its defined temperature points.

    Table of triple points

    This table lists the gas–liquid–solid triple points of several substances. Unless otherwise noted, the data comes from the U.S. National Bureau of Standards (now NIST, National Institute of Standards and Technology).

    Substance T [K] (°C) p [kPa]* (atm)
    Acetylene 0192.4 !192.4 K (−80.7 °C) 7002120000000000000♠ 120 kPa (1.2 atm)
    Ammonia 0195.40 !195.40 K (−77.75 °C) 7000607590000000000♠ 6.076 kPa (0.05997 atm)
    Argon 0083.81 !83.81 K (−189.34 °C) 7001689000000000000♠ 68.9 kPa (0.680 atm)
    Arsenic 1090 !1,090 K (820 °C) 7003362800000000000♠ 3,628 kPa (35.81 atm)
    Butane 0134.6 !134.6 K (−138.6 °C) 6996700000000000000♠ 7× 10−4 kPa
    Carbon (graphite) 4765 !4,765 K (4,492 °C) 7004101320000000000♠ 10,132 kPa (100.00 atm)
    Carbon dioxide 0216.55 !216.55 K (−56.60 °C) 7002517000000000000♠ 517 kPa (5.10 atm)
    Carbon monoxide 0068.10 !68.10 K (−205.05 °C) 7001153700000000000♠ 15.37 kPa (0.1517 atm)
    Chloroform 0175.43 !175.43 K (−97.72 °C) 6999870000000000000♠ 0.870 kPa (0.00859 atm)
    Deuterium 0018.63 !18.63 K (−254.52 °C) 7001171000000000000♠ 17.1 kPa (0.169 atm)
    Ethane 0089.89 !89.89 K (−183.26 °C) 6996800000000000000♠ 8 × 10−4 kPa
    Ethanol 0150 !150 K (−123 °C) 6993429990000099999♠ 4.3 × 10−7 kPa
    Ethylene 0104.0 !104.0 K (−169.2 °C) 6999120000000000000♠ 0.12 kPa (0.0012 atm)
    Formic acid 0281.40 !281.40 K (8.25 °C) 7000220000000000000♠ 2.2 kPa (0.022 atm)
    Helium-4 (lambda point) 0002.19 !2.19 K (−270.96 °C) 7000510000000099999♠ 5.1 kPa (0.050 atm)
    Hexafluoroethane 0173.08 !173.08 K (−100.07 °C) 7001266000000000000♠ 26.60 kPa (0.2625 atm)
    Hydrogen 0013.84 !13.84 K (−259.31 °C) 7000704000000000000♠ 7.04 kPa (0.0695 atm)
    Hydrogen chloride 0158.96 !158.96 K (−114.19 °C) 7001139000000000000♠ 13.9 kPa (0.137 atm)
    Iodine 0386.65 !386.65 K (113.50 °C) 7001120700000000000♠ 12.07 kPa (0.1191 atm)
    Isobutane 0113.55 !113.55 K (−159.60 °C) 6995194810000000000♠ 1.9481 × 10−5 kPa
    Krypton 0115.76 !115.76 K (−157.39 °C) 7001741200000000000♠ 74.12 kPa (0.7315 atm)
    Mercury 0234.2 !234.2 K (−39.0 °C) 6993165009999999999♠ 1.65 × 10−7 kPa
    Methane 0090.68 !90.68 K (−182.47 °C) 7001117000000000000♠ 11.7 kPa (0.115 atm)
    Neon 0024.57 !24.57 K (−248.58 °C) 7001432000000000000♠ 43.2 kPa (0.426 atm)
    Nitric oxide 0109.50 !109.50 K (−163.65 °C) 7001219200000000000♠ 21.92 kPa (0.2163 atm)
    Nitrogen 0063.18 !63.18 K (−209.97 °C) 7001126000000000000♠ 12.6 kPa (0.124 atm)
    Nitrous oxide 0182.34 !182.34 K (−90.81 °C) 7001878500000000000♠ 87.85 kPa (0.8670 atm)
    Oxygen 0054.36 !54.36 K (−218.79 °C) 6999152000000000000♠ 0.152 kPa (0.00150 atm)
    Palladium 1825 !1,825 K (1,552 °C) 6997350000000000000♠ 3.5 × 10−3 kPa
    Platinum 2045 !2,045 K (1,772 °C) 6996200000000000000♠ 2.0 × 10−4 kPa
    Radon 202 !202 K (−71 °C) 7001700000000000000♠ 70 kPa (0.69 atm)
    Sulfur dioxide 0197.69 !197.69 K (−75.46 °C) 7000167000000000000♠ 1.67 kPa (0.0165 atm)
    Titanium 1941 !1,941 K (1,668 °C) 6997530000000000000♠ 5.3 × 10−3 kPa
    Uranium hexafluoride 0337.17 !337.17 K (64.02 °C) 7002151690000000000♠ 151.7 kPa (1.497 atm)
    Water 0273.16 !273.16 K (0.01 °C) 6999611700000000000♠ 0.6117 kPa (0.006037 atm)
    Xenon 0161.3 !161.3 K (−111.8 °C) 7001815000000000000♠ 81.5 kPa (0.804 atm)
    Zinc 0692.65 !692.65 K (419.50 °C) 6998650000000000000♠ 0.065 kPa (0.00064 atm)

    * Note: for comparison, typical atmospheric pressure is 101.325 kPa (1 atm).

    See also

    • Critical point (thermodynamics)
    • Gibbs' phase rule