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Triple point

From Wikipedia, the free encyclopedia
Thermodynamic point where three matter phases exist
For other uses, seeTripoint andTripoint (disambiguation).
A typicalphase diagram. The solid green line applies to most substances; the dashed green line gives the anomalous behavior of water

Inthermodynamics, thetriple point of a substance is thetemperature andpressure at which the threephases (gas,liquid, andsolid) of that substance coexist inthermodynamic equilibrium.[1] It is that temperature and pressure at which thesublimation,fusion, andvapourisation curves meet. For example, the triple point ofmercury occurs at a temperature of −38.8 °C (−37.8 °F) and a pressure of 0.165mPa.

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 multiplepolymorphs.Helium-4 is unusual in that it has no sublimation/deposition curve and therefore no triple points where its solid phase meets its gas phase. Instead, it has a vapor-liquid-superfluid point, a solid-liquid-superfluid point, a solid-solid-liquid point, and a solid-solid-superfluid point. None of these should be confused with thelambda point, which is not any kind of triple point.

The first mention of the term "triple point" was on August 3, 1871 byJames Thomson, brother ofLord Kelvin.[2] The triple points of several substances are used to define points in theITS-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).

Before 2019, the triple point ofwater was used to define thekelvin, thebase unit of thermodynamic temperature in theInternational System of Units (SI).[3] The kelvin was defined so that the triple point of water is exactly 273.16 K, but that changed with the2019 revision of the SI, where the kelvin was redefined so that theBoltzmann constant is exactly1.380649×10−23 J⋅K−1, and the triple point of water became an experimentally measured constant.

Triple point of water

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Gas–liquid–solid triple point

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See also:Properties of water § Triple point
Water boiling at 0°C using a vacuum pump.

Following the 2019 revision of the SI, the value of the triple point of water is no longer used as a defining point. However, its empirical value remains important: the unique combination of pressure and temperature at which liquidwater, solidice, andwater vapour coexist in a stable equilibrium is approximately273.16±0.0001 K[4] and a vapour pressure of 611.657 pascals (6.11657 mbar; 0.00603659 atm).[5][6]

Liquid water can only exist at pressures equal to or greater than the triple point. Below this, in the vacuum ofouter space, solid icesublimates, transitioning directly into water vapor when heated at a constant pressure. Conversely, at pressure above the triple point, solid ice upon heating first melts into liquid water at constant temperature, then evaporates or boils to form vapor at a higher temperature.

For most substances, the gas–liquid–solid triple point is the minimum temperature where the liquid can exist. For water, this is not the case. The melting point of ordinary ice decreases with pressure, as shown by thephase diagram's dashed green line. Just below the triple point, compression at a constant temperature transforms water vapor first to solid and then to liquid.

Historically, during theMariner 9 mission toMars, the triple point pressure of water was used to define "sea level". Now,laser altimetry and gravitational measurements are preferred to define Martian elevation.[7]

High-pressure phases

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At high pressures, water has a complexphase diagram with 15 knownphases of ice and several triple points, including 10 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 ofice Ih (ordinary ice),ice III and liquid water, all at equilibrium. There are also triple points for the coexistence of three solid phases, for exampleice 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 range251–273 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, seeIce.
The various triple points of water
Phases in stable equilibriumPressureTemperature
liquid water,ice Ih, and water vapor611.657 Pa[8]273.16 K (0.0001 °C)[4]
liquid water, ice Ih, andice III209.9 MPa251 K (−22 °C)
liquid water, ice III, andice V350.1 MPa−17.0 °C
liquid water, ice V, andice VI632.4 MPa0.16 °C
ice Ih,Ice II, and ice III213 MPa−35 °C
ice II, ice III, and ice V344 MPa−24 °C
ice II, ice V, and ice VI626 MPa−70 °C

Triple-point cells

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Triple-point cells are used in thecalibration ofthermometers. 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. A specificisotopic composition (for water,VSMOW) is used because variations in isotopic composition cause small changes in the triple point. Triple-point cells are so effective at achieving highly precise, reproducible temperatures, that an international calibration standard for thermometers calledITS–90 relies upon triple-point cells ofhydrogen,neon,oxygen,argon,mercury, andwater for delineating six of its defined temperature points.

Table of triple points

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This table lists the gas–liquid–solid triple points of several substances. Unless otherwise noted, the data come from the U.S.National Bureau of Standards (nowNIST, National Institute of Standards and Technology).[9]

SubstanceT [K] (°C)p [kPa]* (atm)
Acetylene192.4 K (−80.7 °C)120 kPa (1.2 atm)
Ammonia195.40 K (−77.75 °C)6.060 kPa (0.05981 atm)
Argon83.8058 K (−189.3442 °C)68.9 kPa (0.680 atm)
Arsenic1,090 K (820 °C)3,628 kPa (35.81 atm)
Butane[10]134.6 K (−138.6 °C)7×10−4 kPa (6.9×10−6 atm)
Carbon (graphite)4,765 K (4,492 °C)10,132 kPa (100.00 atm)
Carbon dioxide216.55 K (−56.60 °C)517 kPa (5.10 atm)
Carbon monoxide68.10 K (−205.05 °C)15.37 kPa (0.1517 atm)
Chloroform[11][12]209.61 K (−63.54 °C)?
Deuterium18.63 K (−254.52 °C)17.1 kPa (0.169 atm)
Ethane89.89 K (−183.26 °C)1.1×10−3 kPa (1.1×10−5 atm)
Ethanol[13]150 K (−123 °C)4.3×10−7 kPa (4.2×10−9 atm)
Ethylene104.0 K (−169.2 °C)0.12 kPa (0.0012 atm)
Formic acid[14]281.40 K (8.25 °C)2.2 kPa (0.022 atm)
Helium-4 (vapor−He-I−He-II)[15]2.1768 K (−270.9732 °C)5.048 kPa (0.04982 atm)
Helium-4 (hcpbcc−He-II)[16]1.463 K (−271.687 °C)26.036 kPa (0.25696 atm)
Helium-4 (bcc−He-I−He-II)[16]1.762 K (−271.388 °C)29.725 kPa (0.29336 atm)
Helium-4 (hcp−bcc−He-I)[16]1.772 K (−271.378 °C)30.016 kPa (0.29623 atm)
Hexafluoroethane[17]173.08 K (−100.07 °C)26.60 kPa (0.2625 atm)
Hydrogen13.8033 K (−259.3467 °C)7.04 kPa (0.0695 atm)
Hydrogen-1 (Protium)[18]13.96 K (−259.19 °C)7.18 kPa (0.0709 atm)
Hydrogen chloride158.96 K (−114.19 °C)13.9 kPa (0.137 atm)
Iodine[19]386.65 K (113.50 °C)12.07 kPa (0.1191 atm)
Isobutane[20]113.55 K (−159.60 °C)1.9481×10−5 kPa (1.9226×10−7 atm)
Krypton115.76 K (−157.39 °C)74.12 kPa (0.7315 atm)
Mercury234.3156 K (−38.8344 °C)1.65×10−7 kPa (1.63×10−9 atm)
Methane90.68 K (−182.47 °C)11.7 kPa (0.115 atm)
Neon24.5561 K (−248.5939 °C)43.332 kPa (0.42765 atm)
Nitric oxide109.50 K (−163.65 °C)21.92 kPa (0.2163 atm)
Nitrogen63.18 K (−209.97 °C)12.6 kPa (0.124 atm)
Nitrous oxide182.34 K (−90.81 °C)87.85 kPa (0.8670 atm)
Oxygen54.3584 K (−218.7916 °C)0.14625 kPa (0.0014434 atm)
Palladium1,825 K (1,552 °C)3.5×10−3 kPa (3.5×10−5 atm)
Platinum2,045 K (1,772 °C)2×10−4 kPa (2.0×10−6 atm)
Radon202 K (−71 °C)70 kPa (0.69 atm)
(mono)Silane[21]88.48 K (−184.67 °C)0.019644 kPa (0.00019387 atm)
Sulfur dioxide197.69 K (−75.46 °C)1.67 kPa (0.0165 atm)
Titanium1,941 K (1,668 °C)5.3×10−3 kPa (5.2×10−5 atm)
Uranium hexafluoride337.17 K (64.02 °C)151.7 kPa (1.497 atm)
Water[5][6]273.16 K (0.01 °C)0.611657 kPa (0.00603659 atm)
Xenon161.3 K (−111.8 °C)81.5 kPa (0.804 atm)
Zinc692.65 K (419.50 °C)0.065 kPa (0.00064 atm)

Notes:

  • For comparison, typical atmospheric pressure is 101.325 kPa (1 atm).
  • Before the new definition of SI units, water's triple point, 273.16 K, was an exact number.

See also

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References

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  1. ^IUPAC,Compendium of Chemical Terminology, 5th ed. (the "Gold Book") (2025). Online version: (1994) "Triple point".doi:10.1351/goldbook.T06502.
  2. ^James Thomson (1871)"Speculations on the Continuity of the Fluid State of Matter, and on Relations between the Gaseous, the Liquid, and the Solid States.",The British Association Meeting at Edinburgh .Nature4, 288–298 (1871). From Section A on page 291: "This point of pressure and temperaturehe designates asthe triple point; and he shows how this point belongs to the three important curves, as being their intersection."
  3. ^Definition of the kelvin at BIPM.
  4. ^ab"SI Brochure: The International System of Units (SI) – 9th edition". BIPM. Retrieved21 February 2022.
  5. ^abInternational Equations for the Pressure along the Melting and along the Sublimation Curve of Ordinary Water Substance. W. Wagner, A. Saul and A. Pruss (1994), J. Phys. Chem. Ref. Data,23, 515.
  6. ^abMurphy, D. M. (2005)."Review of the vapour pressures of ice and supercooled water for atmospheric applications".Quarterly Journal of the Royal Meteorological Society.131 (608):1539–1565.Bibcode:2005QJRMS.131.1539M.doi:10.1256/qj.04.94.S2CID 122365938.
  7. ^Carr, Michael H. (2007).The Surface of Mars. Cambridge University Press. p. 5.ISBN 978-0-521-87201-0.
  8. ^Murphy, D. M. (2005)."Review of the vapour pressures of ice and supercooled water for atmospheric applications".Quarterly Journal of the Royal Meteorological Society.131 (608):1539–1565.Bibcode:2005QJRMS.131.1539M.doi:10.1256/qj.04.94.S2CID 122365938.
  9. ^Cengel, Yunus A.; Turner, Robert H. (2004).Fundamentals of thermal-fluid sciences. Boston: McGraw-Hill. p. 78.ISBN 0-07-297675-6.
  10. ^SeeButane (data page)
  11. ^SeeChloroform (data page)
  12. ^"Trichloromethane".NIST Chemistry WebBook, SRD 69. NIST (National Institute of Science and Technology). Retrieved11 May 2024.
  13. ^SeeEthanol (data page)
  14. ^SeeFormic acid (data page)
  15. ^Donnelly, Russell J.; Barenghi, Carlo F. (1998). "The Observed Properties of Liquid Helium at the Saturated Vapor Pressure".Journal of Physical and Chemical Reference Data.27 (6):1217–1274.Bibcode:1998JPCRD..27.1217D.doi:10.1063/1.556028.
  16. ^abcHoffer, J. K.; Gardner, W. R.; Waterfield, C. G.; Phillips, N. E. (April 1976). "Thermodynamic properties of4He. II. The bcc phase and the P-T and VT phase diagrams below 2 K".Journal of Low Temperature Physics.23 (1):63–102.Bibcode:1976JLTP...23...63H.doi:10.1007/BF00117245.S2CID 120473493.
  17. ^SeeHexafluoroethane (data page)
  18. ^"Protium | isotope | Britannica". 27 January 2024.
  19. ^Walas, S. M. (1990).Chemical Process Equipment – Selection and Design. Amsterdam: Elsevier. p. 639.ISBN 0-7506-7510-1.
  20. ^SeeIsobutane (data page)
  21. ^"Silane-Gas Encyclopedia".Gas Encyclopedia. Air Liquide.

External links

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