Principal component analysis and multicomponent surface free energy theories |
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Authors: | C Della Volpe S Siboni |
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Institution: | (1) Department of Materials Engineering and Industrial Technologies, University of Trento, Mesiano di Povo, 38050 Povo, Trento, Italy |
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Abstract: | The same underlying mathematical structure characterizes some of the most popular multicomponent models for the prediction
of surface free energies and adhesion works. After a brief illustration of the general methods for the computation of liquid
and solid components in typical multicomponent theories, it is shown that both model definition and component estimate may
take great advantage from application of Principal Component Analysis techniques, owing to the very peculiar structure of
adhesion work equations. It is also put into evidence that a problem of scale multiplicity arises as a consequence of the
symmetries involved in the model equations for adhesion work and surface free energy. A special discussion is devoted to the
specific cases of van Oss–Chaudhury–Good acid–base theory, Qin–Chang model and extended Drago theory, which constitute the
most common multicomponent models usually applied in the analysis of adhesion phenomena.
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Keywords: | multicomponent acid-base theories van Oss– Chaudhury– Good theory Principal Component Analysis (PCA) |
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