SINTERFACE
Surface & Interfacial Tension · Chapter 06

MeasurementPrinciples

Experimental approaches for determining surface and interfacial tension from forces, pressures, interface shapes and detachment conditions.

Chapter contents
09
Scientific topics
Chapter Overview

No single tensiometric method is universally valid.

Surface and interfacial tension can be determined from forces, pressures, interface shapes or detachment conditions. These observables describe the same interfacial thermodynamics, but the experimental assumptions differ between methods.

Method selection must therefore begin with the experimental question. Relevant factors include interfacial age, phase combination, expected tension range, density difference, sample volume, temperature, viscosity and susceptibility to contamination.

Measurement Library

Explore experimental routes to interfacial tension.

Shape-, pressure-, force- and detachment-based approaches each provide access to different experimental conditions and time windows.

01
Method selection

How to Select a Tensiometric Method

Method selection begins with the experimental question and must consider interfacial age, phase combination, expected tension range, density difference, sample volume, temperature, viscosity and susceptibility to contamination.

Method selectionInterfacial ageExperimental conditions
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02
Shape-based method

Profile Analysis Tensiometry

Profile analysis determines surface or interfacial tension from the shape of an axisymmetric pendant or sessile drop or from an attached bubble by fitting the measured contour to the Young–Laplace equation.

Drop shape analysisYoung–Laplace equationProfile fitting
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03
Drop geometry

Pendant Drops at Liquid–Gas & Liquid–Liquid Interfaces

Pendant-drop profile analysis can be applied to liquid–gas and liquid–liquid interfaces, with the density difference between the phases entering directly into the evaluation.

Pendant dropLiquid–liquid interfaceDensity difference
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04
Oscillatory method

Oscillating Drops & Dilational Response

Periodic variation of drop volume changes interfacial area and produces an oscillatory tension response that can be used to characterize dilational elasticity and viscosity of adsorption layers.

Oscillating dropDilational elasticityDilational viscosity
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05
Pressure-based method

Maximum Bubble Pressure Tensiometry

Maximum bubble pressure tensiometry determines dynamic surface tension at short surface ages from the pressure evolution of a growing bubble at a submerged capillary.

Bubble pressureDynamic surface tensionShort surface age
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06
Force method

Wilhelmy Plate Tensiometry

The Wilhelmy method measures the vertical force acting on a thin plate intersecting the interface, with the interfacial contribution depending on wetted perimeter and contact angle.

Wilhelmy plateForce measurementContact angle
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07
Force method

Du Noüy Ring Method

The Du Noüy ring method measures a force maximum while a ring is drawn through an interface, with correction factors required because the meniscus geometry changes during withdrawal.

Du Noüy ringForce maximumCorrection factors
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08
Detachment method

Drop Volume & Drop Weight

Drop-volume methods infer interfacial tension from drop detachment at a capillary and can access time windows between rapid bubble-pressure measurements and long-time static methods.

Drop volumeDrop weightDetachment
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09
Pressure method

Capillary Pressure Methods

Pressure-based approaches determine interfacial tension from known or simultaneously observed interface curvature and are particularly useful when density differences are too small for strong gravitational deformation.

Capillary pressureInterface curvatureLow density difference
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Measurement Families

Different observables, one interfacial quantity.

Tension can be determined from interface shape, pressure, force or detachment. Each route has its own experimental assumptions and operating range.

01
Shape
Profile analysis of drops and bubbles
02
Pressure
Bubble pressure and capillary pressure
03
Force
Wilhelmy plate and Du Noüy ring
04
Detachment
Drop volume and drop weight methods