Methods of determining the shape of a sessile drop
AssigneeThe University of North Carolina at Charlotte
InventorsStuart T. Smith, Jacob W. Chesna, Tsing-Hua Her
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Abstract
In one aspect, methods of determining the shape of a sessile drop are described herein. In some embodiments, a method described herein comprises measuring a first shape parameter of a sessile drop to obtain a first shape parameter value, measuring a second shape parameter of the drop to obtain a second shape parameter value, and using the first and second shape parameter values to calculate a third shape parameter value of a third shape parameter of the drop.
Claims25
A method of determining the shape of a sessile drop comprising:
- measuring, with a microscope, a first shape parameter of the drop to obtain a first shape parameter value, wherein the first shape parameter is drop radius of curvature;
- measuring, with the microscope, a second shape parameter of the drop to obtain a second shape parameter value, wherein the second shape parameter is drop height;
- and
- using the first and second shape parameter values to calculate a third shape parameter value of a third shape parameter of the drop,
- wherein the third shape parameter is drop wetting contact angle and is calculated according to Equation (1):
- α
- =
- cos
- -
- 1
-
- (
- 1
- -
- h
- R
- )
- ,
- (
- 1
- )
- wherein α is drop wetting contact angle, h is drop height, and R is drop radius of curvature.
A method of measuring the wettability of a surface comprising:
- disposing a sessile drop on the surface;
- measuring, with a microscope, a first shape parameter of the drop to obtain a first shape parameter value;
- measuring, with the microscope, a second shape parameter of the drop to obtain a second shape parameter value;
- and
- using the first and second shape parameter values to calculate a wetting contact angle of the drop on the surface,
- wherein the third shape parameter is drop wetting contact angle and is calculated according to Equation (1):
- α
- =
- cos
- -
- 1
-
- (
- 1
- -
- h
- R
- )
- ,
- (
- 1
- )
- wherein α is drop wetting contact angle, h is drop height, and R is drop radius of curvature.
A method of determining the shape of a sessile drop comprising:
- measuring, with a microscope., one or more first shape parameters to obtain a geometric model of the drop;
- measuring, with the microscope, one or more second shape parameters to obtain one or more second shape parameter values;
- and
- using the one or more second shape parameter values to calculate one or more third shape parameter values of one or more third shape parameters,
- wherein the first, second and third shape parameters comprise all of the shape parameters of the drop, and
- wherein measuring the one or more second shape parameters comprises measuring the minimum number of second shape parameters necessary to calculate the one or more third shape parameters.
A method of determining the shape of a sessile drop comprising:
- measuring, with a confocal microscope, a first shape parameter of the drop to obtain a first shape parameter value, wherein the first shape parameter is drop radius of curvature that is measured by radius bench confocal microscopy;
- moving the confocal microscope laterally a distance greater than the drop radius of curvature;
- measuring, with the confocal microscope, a second shape parameter of the drop to obtain a second shape parameter value, wherein the second shape parameter is drop height;
- and
- using the first and second shape parameter values to calculate a third shape parameter value of a third shape parameter of the drop.
A method of determining the shape of a sessile drop comprising:
- measuring, with a microscope, a first shape parameter of the drop to obtain a first shape parameter value, wherein the first shape parameter is drop resonance frequency;
- measuring, with the microscope, a second shape parameter of the drop to obtain a second shape parameter value, wherein the second shape parameter is drop optical interference pattern;
- and
- using the first and second shape parameter values to calculate a third shape parameter value of a third shape parameter of the drop.
A method of determining the shape of a sessile drop comprising:
- measuring, with a microscope, a first shape parameter of the drop to obtain a first shape parameter value, wherein the first shape parameter is drop radius of curvature;
- measuring, with the microscope, a second shape parameter of the drop to obtain a second shape parameter value, wherein the second shape parameter is drop resonance frequency;
- and
- using the first and second shape parameter values to calculate a third shape parameter value of a third shape parameter of the drop.
A method of measuring the wettability of a surface comprising:
- disposing a sessile drop on the surface;
- measuring, with a confocal microscope, a first shape parameter of the drop to obtain a first shape parameter value, wherein the first shape parameter is drop radius of curvature, and wherein the drop radius of curvature is measured by radius bench confocal microscopy;
- moving the confocal microscope laterally a distance greater than the drop radius of curvature;
- measuring, with the confocal microscope, a second shape parameter of the drop to obtain a second shape parameter value, wherein the second shape parameter is drop height;
- and
- using the first and second shape parameter values to calculate a wetting contact angle of the drop on the surface.
Dependencies are inferred from the claim text.