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Title: A Partial Equilibrium Theory for Drops and Capillary Liquids

Abstract

The two-century old theory of Young and Laplace retains apowerful influence on surface and interface studies because itquantitatively predicts the height of rise of capillary liquids from thecontact angles of drops. But the classical theory does not acknowledgethat equilibrium requires separate minimization of partial free energiesof one-component liquids bonded to immiscible solids. We generalize atheorem of Gibbs and Curie to obtain a partial equilibrium (PE) theorythat does so and that also predicts the height of capillary rise fromcontact angles of drops. Published observations and our own measurementsof contact angles of water bonded to glass and Teflon surfaces supportthe conclusion of PE theory that contact angles of meniscuses and ofdrops are different dependent variables. PE theory provides thermodynamicand kinetic guidance to nanoscale processes that the classical theoryobscures, as illustrated by examples in our concludingsection.

Authors:
; ;
Publication Date:
Research Org.:
Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
Sponsoring Org.:
USDOE Director, Office of Science. Office of Basic EnergySciences
OSTI Identifier:
902449
Report Number(s):
LBNL-61861
R&D Project: 50002; BnR: YN0100000; TRN: US0702938
DOE Contract Number:
DE-AC02-05CH11231
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
36; GLASS; KINETICS; MINIMIZATION; TEFLON; THERMODYNAMICS; WATER

Citation Formats

Searcy, Alan W., Beruto, Dario T., and Barberis, Fabrizio. A Partial Equilibrium Theory for Drops and Capillary Liquids. United States: N. p., 2006. Web. doi:10.2172/902449.
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Searcy, Alan W., Beruto, Dario T., & Barberis, Fabrizio. A Partial Equilibrium Theory for Drops and Capillary Liquids. United States. doi:10.2172/902449.
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Searcy, Alan W., Beruto, Dario T., and Barberis, Fabrizio. Thu . "A Partial Equilibrium Theory for Drops and Capillary Liquids". United States. doi:10.2172/902449. https://www.osti.gov/servlets/purl/902449.
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@article{osti_902449,
title = {A Partial Equilibrium Theory for Drops and Capillary Liquids},
author = {Searcy, Alan W. and Beruto, Dario T. and Barberis, Fabrizio},
abstractNote = {The two-century old theory of Young and Laplace retains apowerful influence on surface and interface studies because itquantitatively predicts the height of rise of capillary liquids from thecontact angles of drops. But the classical theory does not acknowledgethat equilibrium requires separate minimization of partial free energiesof one-component liquids bonded to immiscible solids. We generalize atheorem of Gibbs and Curie to obtain a partial equilibrium (PE) theorythat does so and that also predicts the height of capillary rise fromcontact angles of drops. Published observations and our own measurementsof contact angles of water bonded to glass and Teflon surfaces supportthe conclusion of PE theory that contact angles of meniscuses and ofdrops are different dependent variables. PE theory provides thermodynamicand kinetic guidance to nanoscale processes that the classical theoryobscures, as illustrated by examples in our concludingsection.},
doi = {10.2172/902449},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Oct 26 00:00:00 EDT 2006},
month = {Thu Oct 26 00:00:00 EDT 2006}
}
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Technical Report:
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DOI:  10.2172/902449
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