In this work, we developed a mathematical model to quantify the translation of soluble contaminants from bulk liquid chemicals to the surface of wafers during spin coating. We tested various kinds of liquids, including those used in application of photo-resist as well as wafer cleaning and surface preparation. To validate the model, dilute polymer solutions with different concentrations were deposited onto spinning wafers, where they flowed outward and then evaporated. We used ellipsometry to determine the mass of contaminant left behind on the wafers. The levels of deposited contaminants increased with concentration in the bulk liquid and decreased with spin speed. The model well predicted the experimental data and thus allows for estimation of contaminant translation during spin coating.As the quest for smaller, faster and less expensive electronic devices marches on, circuitry in those devices is also shrinking and becoming more sensitive to particles, metals and other forms of contamination. While the semiconductor industry generally has done an excellent job of understanding the purity of the materials and chemicals used in fabricating electronic devices, how impurities translate from equipment, components and chemicals through fabrication processes and onto wafers is less clear.Spin coating is a common process that brings liquid chemicals into direct contact with wafers. It is used to apply photo-resist, to clean, etch and dry wafers, as well as to evaluate the cleanliness of liquid filters, fluid handling components and systems. Application of photoresist by spin coating has been carefully studied. 1-17 Previous work describes experiments and modeling of relatively concentrated polymer solutions where the solvent is an organic liquid with low surface tension and high boiling point. 2-7,10,11 However, liquids with a much broader range of properties are used in semiconductor processes and contaminants in those liquids are typically present at very low levels. Therefore, the aim of this work is to develop a mathematical model for quantifying the translation of low levels of soluble contaminants from liquids to wafers during spin coating and validate with experiments.
TheoryTo quantify the translation of more dilute concentrations of soluble contaminants from bulk chemicals to the surface of wafers, a working model is needed. Consider the following scenario. A volatile liquid containing soluble, non-volatile contaminant is dispensed onto a wafer that is spinning at a constant rotational velocity of ω. Excess liquid is immediately flung from the spinning wafer. The remaining liquid layer flows outward under centrifugal force. We assume the contaminants simply move along with the liquid. Once outward flow of the spinning liquid layer slows and evaporation takes over, the contaminant is deposited onto the surface of the wafer.To construct our working equation, we begin with the classic analysis of liquid on a spinning disk by Emslie, Bonner and Peck. 1 Assume that the process is isothermal, the liquid is Newtonia...