Statistical Analysis of the Accuracy of Solid Surface Tensions Calculated from Error-Included Contact Angle and Liquid Surface Tension Data by the Multi-component Approach
- 4 Downloads
Both exclusive and synergetic effects of errors in contact angle (CAEs) and liquid surface tension data (LSTEs) on the accuracy and statistics of solid surface tension components and parameters (SSTCPs)/square roots of SSTCPs (SQSSTCPs) were investigated. The calculations were done by Monte Carlo simulations covering the whole ranges of CAs or SSTCPs that can be determined by the most widely used liquid triplets. The results showed that on most part of valid domains the multi-component approach determined SSTCPs/SQSSTCPs at moderate accuracy even when both input errors were involved. However, the approach should be applied with caution on domains where the relative-root-mean-square errors of SSTCPs were higher than 20 % due to the reduced accuracy and skewed distributions of SSTCPs which made sample mean no longer a preferred measure of central tendency of the distribution. The results revealed the necessity of statistical consideration in evaluation and application of the multi-component approach.
KeywordsContact angle Multi-component approach Statistical analysis Surface tension components and parameters
The author thanks the support from Zhejiang Top Priority Discipline of Textile Science and Engineering (No. 2013YXQN05 and No. 2015YXQN08), National Natural Science Foundation of China (Grant No. 11501513), and Zhejiang Province Public Technology Application Research Project (Grant No. LGF18C160002).
Compliance with Ethical Standards
Conflict of interest
The author declares no conflict of interest.
- 4.R.J. Good, C.J. van Oss, in Modern Approach to Wettability: Theory and Applications, ed. by M.E. Schrader, G. Loeb (Plenum Press, New York, 1995), pp. 1–28Google Scholar
- 16.C. Della Volpe, S. Siboni, in Acid-Base Reactions: Relevance to Adhesion Science and Technology, vol. 2, ed. by K.L. Mittal (Zeist, VSP, 2000), pp. 55–90Google Scholar
- 19.G. Marsaglia, W.W. Tsang, J. Wang, J. Stat. Softw. 8, 1 (2003)Google Scholar