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Science 12 March 1999:
Vol. 283. no. 5408, pp. 1730 - 1733
DOI: 10.1126/science.283.5408.1730

Reports

Adaptation of Bulk Constitutive Equations to Insoluble Monolayer Collapse at the Air-Water Interface

J. Patrick Kampf, 1 Curtis W. Frank, 1* Eva E. Malmström, 2 Craig J. Hawker 2*

A constitutive equation based on stress-strain models of bulk solids was adapted to relate the surface pressure, compression rate, and temperature of an insoluble monolayer of monodendrons during collapse at the air-water interface. A power law relation between compression rate and surface pressure and an Arrhenius temperature dependence of the steady-state creep rate were observed in data from compression rate and creep experiments in the collapse region. These relations were combined into a single constitutive equation to calculate the temperature dependence of the collapse pressure with a maximum error of 5 percent for temperatures ranging from 10° to 25°C.

1 Department of Chemical Engineering, Stanford University, Stanford, CA 94305-5025, USA.
2 IBM Almaden Research Center, San Jose, CA 95120-6099, USA.
*   To whom correspondence should be addressed.


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Science. ISSN 0036-8075 (print), 1095-9203 (online)