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Vapor Pressure of Supercooled Water

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A Correction to this article was published on 26 December 2022

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Abstract

Murphy and Koop's 2005 equation is used as a standard for vapor pressure in supercooled water. Recently, however, new measurements of molar heat capacity of supercooled water have emerged that both show a more rapid increase in isobaric heat capacity in the supercooled region and penetrate well below the homogeneous nucleation limit. These new data lead to the need to recalculate the saturation vapor pressure in the supercooled region. An equation describing the temperature dependence of the saturation vapor pressure in the temperature interval from 150 K to 273.16 K is presented.

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References

  1. General meteorological standards and recommended practices, appendix A. Technical Regulations, WMO-No. 49. World Meteorological Organization, Geneva (1988)

  2. General meteorological standards and recommended practices. Corrigendum to 1988 edition. WMO-No. 49, World Meteorological Organization, Geneva (2000)

  3. T. Koop, B. Luo, A. Tsias, T. Peter, Nature 406, 550 (2000)

    Article  Google Scholar 

  4. R.J. Speedy, C.A. Angell, J. Chem. Phys. 65, 851 (1976)

    Article  ADS  Google Scholar 

  5. M.A. Anisimov, A.V. Voronel, N.S. Zaugol’nikova, G.I. Ovodov, JETP Lett. 15, 317 (1972)

    ADS  Google Scholar 

  6. C.A. Angell, J. Shuppert, J.C. Tucker, J. Phys. Chem. 77, 3092 (1973)

    Article  Google Scholar 

  7. P.G. Debenedetti, Metastable Liquids. Concepts and Principles (Princeton University Press, Princeton, 1996)

    Google Scholar 

  8. P.H. Poole, F. Sciortino, U. Essmann, H.E. Stanley, Nature (London) 360, 324 (1992)

    Article  ADS  Google Scholar 

  9. C.A. Jeffery, P.H. Austin, J. Chem. Phys. 110, 484 (1999)

    Article  ADS  Google Scholar 

  10. S.B. Kiselev, J.F. Ely, J. Chem. Phys. 116, 5657 (2002)

    Article  ADS  Google Scholar 

  11. D. A. Fuentevilla, M. A. Anisimov, Phys. Rev. Lett. 97, 195792 (2006); Erratum ibid. 98, 149904 (2007)

  12. J. Kalová, R. Mareš, Int. J. Thermophys. 31, 756 (2010)

    Article  ADS  Google Scholar 

  13. J. Kalová, R. Mareš, AIP Conf. Proc. (2017). https://doi.org/10.1063/1.5004350

    Article  Google Scholar 

  14. C.E. Bertrand, M.A. Anisimov, J. Phys. Chem. B 115, 14099 (2011)

    Article  Google Scholar 

  15. V. Holten, C.E. Bertrand, M.A. Anisimov, J.V. Sengers, J. Chem. Phys. 136, 094507 (2012)

    Article  ADS  Google Scholar 

  16. V. Holten, M.A. Anisimov, Sci. Rep. 2, 713 (2012)

    Article  ADS  Google Scholar 

  17. V. Holten, D.T. Limmer, V. Molinero, M.A. Anisimov, J. Chem. Phys. 138, 174501 (2013)

    Article  ADS  Google Scholar 

  18. V. Holten, J.C. Palmer, P.H. Poole, P.G. Debenedetti, M.A. Anisimov, J. Chem. Phys. 140, 104502 (2014)

    Article  ADS  Google Scholar 

  19. V. Holten, J.V. Sengers, M.A. Anisimov, J. Phys. Chem. Ref. Data 43, 043101 (2014)

    Article  ADS  Google Scholar 

  20. P. Gallo, K. Amann-Winkel, C.A. Angell, M.A. Anisimov, F. Caupin, C. Chakravarty, E. Lascaris, T. Loerting, A.Y. Panagiotopoulos, R.J. Sellberg, H.E. Stanley, H. Tanaka, C. Vega, L. Xu, G.M. Pettersson, Chem. Rev. 116, 7463 (2016)

    Article  Google Scholar 

  21. F. Caupin, J. Non Cryst. Sol. 407, 441 (2015)

    Article  ADS  Google Scholar 

  22. D.M. Murphy, T. Koop, Q.J.R. Meteorol, QJR Meteorol. Soc. 131, 1539 (2005)

    Article  ADS  Google Scholar 

  23. C.J. Gibbins, Ann. Geophys. 8, 859 (1990)

    Google Scholar 

  24. O. Mishima, H.E. Stanley, Nature 396, 329 (1998)

    Article  ADS  Google Scholar 

  25. H.R. Pruppacher, J.D. Klett, Microphysics of Clouds and Precipitation, second revised and expanded edition (Springer, Berlin, 2010)

    Book  Google Scholar 

  26. Guideline on the Use of Fundamental Physical Constants and Basic Constants of Water, http://iapws.org/relguide/fundam.pdf

  27. L.A. Guildner, D.P. Johnson, F.E. Jones, J. Res. NBS 80A, 505 (1976)

    Article  Google Scholar 

  28. D.G. Archer, R.W. Carter, J. Phys. Chem. B 104, 8563 (2000)

    Article  Google Scholar 

  29. D.H. Rasmussen, P. MacKenzie, C.A. Angell, J.C. Tucker, Science 181, 342 (1973)

    Article  ADS  Google Scholar 

  30. C.A. Angell, M. Oguni, W.J. Sichina, J. Phys. Chem. 86, 998 (1982)

    Article  Google Scholar 

  31. V.P. Voronov, V.E. Podnek, M.A. Anisimov, J. Phys.: Conf. Ser. 1385, 012008 (2019)

    Google Scholar 

  32. E. Tombari, C. Ferrare, G. Salvetti, Chem. Phys. Lett. 300, 749 (1999)

    Article  ADS  Google Scholar 

  33. H. Pathak, A. Späh, N. Esmaeildoost, J.A. Sellberg, K.K. Kim, F. Perakis, K. Aman-Winkel, M. Ladd-Parada, J. Koliyadu, T.J. Lane, Ch. Yang, H.T. Lemke, A.R. Oggenfuss, P.J.M. Johnson, Y. Deng, S. Zerdane, R. Mankowsky, P. Beaud, A. Nilsson, Proc. Natl. Acad. Sci. 118, e2018379118 (2021)

    Article  Google Scholar 

  34. F.W. Starr, C.A. Angell, H.E. Stanley, Physica A 323, 51 (2003)

    Article  ADS  Google Scholar 

  35. R.J. Speedy, J. Phys. Chem. 91, 3354 (1987)

    Article  Google Scholar 

  36. W.F. Giauque, J.W. Stout, J. Am. Chem. Soc. 58, 1144 (1936)

    Article  ADS  Google Scholar 

  37. G. Beltramino, L. Rosso, R. Cuccaro, S. Tabandeh, D. Smorgon, V. Fernicola, J. Chem. Thermodyn. 141, 105944 (2020)

    Article  Google Scholar 

  38. G.F. Kraus, S.C. Greer, J. Phys. Chem. 88, 4781 (1984)

    Article  Google Scholar 

  39. G.A. Bottomley, Aust. J. Chem. 31, 1177 (1978)

    Article  Google Scholar 

  40. G. Beltramino, L. Rosso, D. Smorgon, V. Fernicola, J. Chem. Thermodyn. 105, 159 (2017)

    Article  Google Scholar 

  41. N. Fukuta, C.M. Gramada, J. Atmos. Sci. 60, 1871 (2003)

    Article  ADS  Google Scholar 

  42. W. Cantrell, A. Kostinski, A. Szedlak, A. Johnson, J. Phys. Chem. A 115, 5729 (2011)

    Article  Google Scholar 

  43. J.F. Davies, R.E.H. Miles, A.E. Haddrell, J.P. Reid, J. Geophys. Res. Atmos. 119, 10.931 (2014)

    Article  Google Scholar 

  44. Guideline on Thermodynamic Properties of Supercooled Water, http://www.iapws.org/relguide/Supercooled.pdf

  45. V. Holten, J. Kalová, M.A. Anisimov, J.V. Sengers, Int. J. Thermophys. 33, 758 (2012)

    Article  ADS  Google Scholar 

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  1. Department of Mathematics, Faculty of Science, University of South Bohemia in České Budějovice, Branišovská 1760, 370 05, České Budějovice, Czech Republic

    Jana Kalová

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Jana Kalová wrote the manuscript and prepared all figures and tables.

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Kalová, J. Vapor Pressure of Supercooled Water. Int J Thermophys 43, 165 (2022). https://doi.org/10.1007/s10765-022-03095-w

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