DOI: 10.1063/1.476649. Thermodynamics of water-cubic ice and other liquid-solid coexistence in nanometer-size particles

Thermodynamics of water-cubic ice and other liquid-solid coexistence in nanometer-size particles

10.1063/1.476649

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

When contributions from the interfacial energy become significant and comparable to the bulk energy, liquid and crystalline phases can coexist at a temperature much lower than the usual melting point. A formalism for this coexistence is given, and thermodynamic conditions for the melting of nanometer-size cubic ice crystals are derived when both the ice and water are at an equilibrium vapor pressure. By using the approximate values of surface energy and the enthalpy and entropy of melting, it is shown that nanometer-size water droplets can coexist with cubic ice particles of about the same size at temperatures in the 150–180 K range. The unusually large decrease in the temperature of a liquid-solid phase equilibrium is expected to be a general phenomenon in the nanometer-size films, clusters, and particles of materials.

Bibliography

Johari, G. P. (1998). Thermodynamics of water-cubic ice and other liquid-solid coexistence in nanometer-size particles. The Journal of Chemical Physics, 109(3), 1070â1073.

Authors 1

G. P. Johari (first)

References 29 Referenced 20

10.1038/220350a0 / Nature (London) (1968)
{'key': '2024021016515735800_r2'}
10.1063/1.466286 / J. Chem. Phys. (1994)
10.1016/0040-6031(95)02341-0 / Thermochim. Acta (1995)
10.1063/1.469548 / J. Chem. Phys. (1995)
{'key': '2024021016515735800_r6'}
10.1063/1.475322 / J. Chem. Phys. (1997)
10.1021/j100045a010 / J. Phys. Chem. (1995)
{'key': '2024021016515735800_r8a', 'first-page': '6098', 'volume': '101', 'year': '1997', 'journal-title': 'J. Phys. Chem.'} / J. Phys. Chem. (1997)
10.1021/j100045a010 / J. Phys. Chem. (1995)
10.1021/jp952193w / J. Phys. Chem. (1996)
{'key': '2024021016515735800_r10a', 'first-page': '10079', 'volume': '100', 'year': '1996', 'journal-title': 'J. Phys. Chem.'} / J. Phys. Chem. (1996)
10.1063/1.474728 / J. Chem. Phys. (1997)
10.1063/1.445803 / J. Chem. Phys. (1983)
{'key': '2024021016515735800_r13', 'first-page': '245', 'volume': '14', 'year': '1989', 'journal-title': 'Ann. Phys. (Paris)'} / Ann. Phys. (Paris) (1989)
10.1021/j100012a010 / J. Phys. Chem. (1995)
10.1063/1.474468 / J. Chem. Phys. (1997)
{'key': '2024021016515735800_r16'}
{'key': '2024021016515735800_r17', 'first-page': '354', 'volume': '104', 'year': '1923', 'journal-title': 'Z. Phys. Chem., Stoechiom. Verwandtschaftsl.'} / Z. Phys. Chem., Stoechiom. Verwandtschaftsl. (1923)
{'key': '2024021016515735800_r18', 'first-page': '1', 'volume': '65', 'year': '1909-10', 'journal-title': 'Z. Phys. Chem., Stoechiom. Verwandtschaftsl.'} / Z. Phys. Chem., Stoechiom. Verwandtschaftsl. (1909-10)
{'key': '2024021016515735800_r18a', 'first-page': '545', 'volume': '65', 'year': '1909', 'journal-title': 'Z. Phys. Chem., Stoechiom. Verwandtschaftsl.'} / Z. Phys. Chem., Stoechiom. Verwandtschaftsl. (1909)
10.1007/BF01340711 / Z. Phys. (1960)
10.1038/325601a0 / Nature (London) (1987)
10.1021/j100082a011 / J. Phys. Chem. (1994)
10.1063/1.1680718 / J. Chem. Phys. (1973)
{'key': '2024021016515735800_r23', 'first-page': '935', 'volume': '41', 'year': '1987', 'journal-title': 'J. Phys. Chem. Solids'} / J. Phys. Chem. Solids (1987)
10.1143/JPSJ.9.359 / J. Phys. Soc. Jpn. (1954)
10.1080/14786436908228641 / Philos. Mag. (1969)
10.1021/j100068a038 / J. Phys. Chem. (1994)

Dates

Type	When
Created	23 years ago (July 26, 2002, 8:10 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 12:42 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 1:10 p.m.)
Issued	27 years, 1 month ago (July 15, 1998)
Published	27 years, 1 month ago (July 15, 1998)
Published Print	27 years, 1 month ago (July 15, 1998)

Funders 0

None

BibTeX

@article{Johari_1998, title={Thermodynamics of water-cubic ice and other liquid-solid coexistence in nanometer-size particles}, volume={109}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.476649}, DOI={10.1063/1.476649}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Johari, G. P.}, year={1998}, month=jul, pages={1070–1073} }

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