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Lubrication forces in air and accommodation coefficient measured by a thermal damping method using an atomic force
Christopher D F Honig1, John E Sader, Paul Mulvaney
1Department of Chemical Engineering, Virginia Tech, Blacksburg 24061, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
Atomic force microscopy measured gas damping forces between a sphere and plate. Researchers determined gas-surface interactions, finding a combined slip length of 250 nm for methylated glass in air.
Area of Science:
- Physics
- Materials Science
- Surface Science
Background:
- Understanding gas-surface interactions is crucial for micro/nanoscale devices.
- Atomic Force Microscopy (AFM) offers high-resolution force measurements.
- Characterizing gas flow regimes (slip, transition, molecular) is essential for modeling.
Purpose of the Study:
- To measure damping and static forces on a sphere near a flat plate using AFM.
- To determine gas-surface interaction parameters like slip length and momentum accommodation coefficient.
- To investigate gas flow regimes from slip to molecular flow at a single pressure.
Main Methods:
- Utilized thermally driven oscillations of an Atomic Force Microscope (AFM) cantilever.
- Varied the proximity between a sphere and a flat plate to alter the Knudsen number (Kn).
- Analyzed damping and static forces in different gas flow regimes.
Main Results:
- Measured a combined slip length of 250 nm ± 100 nm for methylated glass in ambient air at 1 atm.
- Determined the tangential momentum accommodation coefficient (σ) to be 0.77 ± 0.24.
- Observed deviations from linearity in inverse damping at small separations (Kn > 0.4), agreeing with the Vinogradova formula.
Conclusions:
- AFM is effective for characterizing gas-surface interactions across multiple flow regimes.
- Quantified slip length and momentum accommodation for specific methylated glass surfaces.
- Validated theoretical models for gas flow in the transition and molecular regimes.
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