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Du Noüy–Padday method : ウィキペディア英語版
Du Noüy–Padday method

The Du Noüy–Padday method is a minimized version of the Du Noüy method replacing the large platinum ring with a thin rod that is used to measure equilibrium surface tension or dynamic surface tension at an air–liquid interface. In this method, the rod is oriented perpendicular to the interface, and the force exerted on it is measured. Based on the work of Padday,〔Padday, J. F., Pitt, A. R., Pashley, R. M.,1974, "Menisci at a free liquid surface: surface tension from the maximum pull on a rod",J. Chem. Soc., Far. Trans. I, 71(10), 1919–1931 (1974)〕 this method finds wide use in the preparation and monitoring of Langmuir–Blodgett films, ink & coating development, pharmaceutical screening, and academic research.
==Detailed description==
The Du Noüy Padday rod consists of a rod usually on the order of a few millimeters square making a small ring. The rod is often made from a composite metal material that may be roughened to ensure complete wetting at the interface. The rod is cleaned with water, alcohol and a flame or with strong acid to ensure complete removal of surfactants. The rod is attached to a scale or balance via a thin metal hook. The Padday method uses the maximum pull force method, i.e. the maximum force due to the surface tension is recorded as the probe is first immersed ca. one mm into the solution and then slowly withdrawn from the interface. The main forces acting on a probe are the buoyancy (due to the volume of liquid displaced by the probe) and the mass of the meniscus adhering to the probe. This is an old, reliable, and well-documented technique.〔〔Fischer, H., Gottschlich, R., Seelig, A., "Blood-Brain Barrier Permeation: Molecular Parameters Governing Passive Diffusion" J.Membrane Biol. 165, 201–211 (1998)〕〔Christian, S. D., Slage, A. R., Tucker, E. E., and Scamehorn, J. F., "Inverted Vertical Pull Surface Tension Method", Langmuir, 14(X), 3126–3128 (1998)〕〔Harkins, W. D., and Jordan H. F., "A method for the determination of surface and interfacial tension from the maximum pull on a ring", J. Am. Chem. Soc., 52(5), 1751–1772 (1930)〕〔Freud, B. B., and Freud H. Z., "A theory of the ring method for the determination of surface tension", J. Am. Chem. Soc., 52(5), 1772–1782 (1930)〕
An important advantage of the maximum pull force technique is that the receding contact angle on the probe is effectively zero. The maximum pull force is obtained when the buoyancy force reaches its minimum,
The surface tension measurement used in the Padday devices based on the Du Noüy ring/maximum pull force method is explained further here:
The force acting on the probe can be divided into two components:
: i) Buoyancy stemming from the volume displaced by the probe, and
: ii) the mass of the meniscus of the liquid adhering to the probe.
The latter is in equilibrium with the surface tension force, i.e.
::2 \pi \tau_p \gamma \cos \theta = m_m g
where
:
* \tau_p is the perimeter of the probe,
:
* m_m is the surface tension and the weight of the meniscus under the probe. In the situation considered here the volume displaced by the probe is included in the meniscus.
:
* \theta is the contact angle between the probe and the solution that is measured, and is negligible for the majority of solutions with Kibron’s probes.
Thus, the force measured by the balance is given by
::F_p = m_m g + F_ = 2\tau_p + F_
where
:
* F_p is the force acting on the probe and
:
* F_ is the force due to buoyancy.
At the point of detachment the volume of the probe immersed in the solution vanishes, and thus, also the buoyancy term. This is observed as a maximum in the force curve, which relates to the surface tension through
::\gamma = \frac
The above derivation holds for ideal conditions. Non-idealities, e.g. from defect probe shape, are partly compensated in the calibration routine using a solution with known surface tension.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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