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Thin, binary liquid droplets, containing polymer: an investigation of the parameters controlling film shape

Published online by Cambridge University Press:  30 March 2016

A. D. Eales
Affiliation:
Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge CB2 3RA, UK
N. Dartnell
Affiliation:
Cambridge Display Technology Ltd (Company Number 02672530), Godmanchester PE29 2XG, UK
S. Goddard
Affiliation:
Cambridge Display Technology Ltd (Company Number 02672530), Godmanchester PE29 2XG, UK
A. F. Routh*
Affiliation:
Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge CB2 3RA, UK
*
Email address for correspondence: [email protected]

Abstract

For the fabrication of P-OLED displays, using inkjet printing, it is important to control the final shape resulting from evaporation of droplets containing polymer. Due to peripheral pinning and consequent outward capillary flow, a ring-like final shape is typically observed. This is often undesirable, with a spatially uniform film usually required. Several experimental studies have shown that binary liquid inks can prevent ring formation. There is no consensus of opinion on the mechanism behind this improvement. We have developed a model for the drying of thin, binary liquid droplets, based on thin-film lubrication theory, and we solve the governing equations to predict the final shape. White-light interferometry experiments are conducted to verify the findings. In addition, we present the results of a linear stability analysis that identifies the onset of an instability driven by a difference in surface tension. If the more volatile liquid is more abundant, an instability becomes increasingly likely.

Type
Papers
Copyright
© 2016 Cambridge University Press 

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References

Ahn, B. Y., Duoss, E. B., Motala, M. J., Guo, X., Park, S. I., Xiong, Y., Yoon, J., Nuzzo, R. G., Rogers, J. A. & Lewis, J. A. 2009 Omnidirectional printing of flexible, stretchable, and spanning silver microelectrodes. Science 323 (5921), 15901593.Google Scholar
Angenendt, P. 2005 Progress in protein and antibody microarray technology. Drug Discovery Today 10 (7), 503511.Google Scholar
Babatunde, P. O., Hong, W. J., Makaso, K. & Fukai, J. 2013 Effect of solute and solvent derived Marangoni flows on the shape of polymer films formed from drying droplets. AIChE J. 59 (3), 699702.Google Scholar
Basi, D., Hunsche, M. & Noga, G. 2013 Effects of surfactants and the kinetic energy of monodroplets on the deposit structure of glyphosate at the micro-scale and their relevance to herbicide bio-efficacy on selected weed species. Weed Res. 53 (1), 111.Google Scholar
Bhardwaj, R., Fang, X., Somasundaran, P. & Attinger, D. 2010 Self-assembly of colloidal particles from evaporating droplets: role of DLVO interactions and proposition of a phase diagram. Langmuir 26 (11), 78337842.Google Scholar
Bright, C. J., Carter, J., Cacheiro, M. & Lyon, P.2010 Ink jet deposition; comprises electroluminescent material deposited on substrate dissolved in solvent system comprising first high boiling solvent which exhibits low solubility of material to be deposited, and second low boiling solvent which exhibits high solubility of material to be deposited. priority date Feb 27, 2001. filing date Oct 9, 2008. Tech. Rep. Cambridge Display Technology Ltd.Google Scholar
Brutin, D., Sobac, B., Loquet, B. & Sampol, J. 2011 Pattern formation in drying drops of blood. J. Fluid Mech 667, 8595.Google Scholar
Chow, E., Herrmann, J., Barton, C. S., Raguse, B. & Wieczorek, L. 2009 Inkjet-printed gold nanoparticle chemiresistors: influence of film morpholgy and ionic strength on the detection of organics dissolved in aqueous solution. Anal. Chim. Acta 632, 135142.Google Scholar
Dahaeck, S., Rednikov, A. & Colinet, P. 2014 Vapour based interferometric measurement of local evaporation rate and interfacial temperature of evaporating droplets. Langmuir 30 (8), 20022008.Google Scholar
van Dam, D. B. & Kuerten, J. G. M. 2008 Modelling the drying of inkjet printed structures and experimental verification. Langmuir 24 (2), 582589.Google Scholar
Deegan, R. D. 2000 Pattern formation in drying drops. Phys. Rev. E 61 (1), 475485.Google Scholar
Deegan, R. D., Bakajin, O., Dupont, T. F., Huber, G., Nagel, S. R. & Witten, T. A. 1997 Capillary flow as the cause of ring stains from dried liquid drops. Nature 389, 827829.Google Scholar
Deegan, R. D., Bakajin, O., Dupont, T. F., Huber, G., Nagel, S. R. & Witten, T. A. 2000 Contact line deposits in an evaporating drop. Phys. Rev. E 62 (1), 756765.Google Scholar
Deng, Y., Zhu, X. Y., Kienlen, T. & Guo, A. 2006 Transport at the air/water interface is the reason for rings in protein microarrays. J. Am. Chem. Soc. 128 (9), 27682769.Google Scholar
Dijskman, J. F., Duineveld, P. C., Hack, M. J. J., Pierik, A., Rensen, J., Rubingh, J. E., Schram, I. & Vernhout, M. M. 2007 Precision ink jet printing of polymer light emitting displays. J. Mater. Chem. 17, 511522.Google Scholar
Dijskman, J. F. & Pierik, A. 2008 Fluid dynamical analysis of the distribution of ink jet printed biomolecules in microarray substrates for genotyping applications. Biomicrofluidics 2, 044101.Google Scholar
Dugyala, V. R. & Basavaraj, M. G. 2014 Control over coffee-ring formation in evaporating liquid drops containing ellipsoids. Langmuir 30 (29), 86808686.Google Scholar
Eales, A. D.2015 P-OLED displays, evaporating droplets and coffee-ring formation: an investigation of the parameters controlling the film shape resulting from drying of droplets containing polymer. PhD thesis, University of Cambridge.Google Scholar
Eales, A. D., Dartnell, N., Goddard, S. & Routh, A. F. 2015a Evaporation of pinned droplets containing polymer – an examination of the important groups controlling final shape. AIChE J. 61 (5), 17591767.Google Scholar
Eales, A. D., Dartnell, N., Goddard, S. & Routh, A. F. 2015b The impact of trough geometry on film shape. a theoretical study of droplets containing polymer, for p-oled display applications. J. Colloid Interface Sci. 458, 5361.Google Scholar
Eales, A. D. & Routh, A. F. 2016 The elimination of coffee-ring formation by humidity cycling – a numerical study. Langmuir 32 (2), 505511.CrossRefGoogle ScholarPubMed
Eral, H. B., Mampallil Augustine, D., Duits, M. H. G. & Mugele, F. 2011 Suppressing the coffee stain effect: how to control colloidal self-assembly in evaporating drops using electrowetting. Soft Matt. 7, 49544958.Google Scholar
Escobedo, J. & Ali Mansoori, G. 1998 Surface tension prediction for liquid mixtures. AIChE J. 44 (10), 23242332.Google Scholar
Fischer, B. J. 2002 Particle convection in an evaporating colloidal droplet. Langmuir 18 (1), 6067.Google Scholar
Garcia, B., Miranda, M. J., Leal, J. M., Ortega, J. & Matos, J. S. 1991 Densities and viscosities of mixing for the binary system of methyl benzoate with n-nonane at different temperatures. Thermochim. Acta 186, 285292.Google Scholar
Gelderblom, H.2013 Fluid flow in drying droplets. PhD thesis, University of Twente.Google Scholar
Goldmann, T. & Gonzalez, J. S. 2000 DNA-printing: utilization of a standard inkjet printer for the transfer of nucleic acids to solid supports. J. Biochem. Biophys. Methods 42, 105110.CrossRefGoogle ScholarPubMed
de Gans, B. J., Duineveld, P. C. & Schubert, U. S. 2004 Inkjet printing of polymers: state of the art and future developments. Adv. Mater. 16 (3), 203213.CrossRefGoogle Scholar
de Gans, B. J. & Schubert, U. S. 2004 Inkjet printing of well-defined polymer dots and arrays. Langmuir 20 (18), 77897793.CrossRefGoogle ScholarPubMed
Heim, T., Preuss, S., Gerstmayer, B., Bosio, A. & Blossey, R. 2005 Deposition from a drop: morphologies of unspecifically bound DNA. J. Phys.: Condens. Matter 17 (9), S703S715.Google Scholar
Hildebrand, J. H. & Scott, R. L. 1964 The Solubility of Non-electrolytes. Dover.Google Scholar
Hu, H. & Larson, R. G. 2002 Evaporation of a sessile droplet on a substrate. J. Phys. Chem. B 106, 13341344.Google Scholar
Hu, H. & Larson, R. G. 2005a Analysis of the effects of Marangoni Stresss on the microflow in an evaporating sessile droplet. Langmuir 21, 39723980.Google Scholar
Hu, H. & Larson, R. G. 2005b Analysis of the microfluid flow in an evaporating sessile droplet. Langmuir 21, 39633971.Google Scholar
Hu, H. & Larson, R. G. 2006 Marangoni effect reverses coffee-ring depositions. J. Phys. Chem. B 110, 70907094.Google Scholar
Jasper, J. J. 1972 The surface tension of pure liquid components. J. Phys. Chem. Ref. Data 1 (4), 8411009.CrossRefGoogle Scholar
Kaneda, M., Hyakuta, K., Takao, Y., Ishizuka, H. & Fukai, J. 2008 Internal flow in polymer solution droplets depsoited on a lyophobic surface during a receding process. Langmuir 24, 91029109.Google Scholar
Karabasheva, S., Baluschev, S. & Graf, K. 2006 Microstructures on soluble polymer surfaces via drop deposition of solvent mixtures. Appl. Phys. Lett. 89, 031110.Google Scholar
Kim, D., Jeong, S., Park, B. & Moon, J. 2006 Direct writing of silver conductive patterns: improvement of film morphology and conductance by controlling solvent compositions. Appl. Phys. Lett. 89, 264101.Google Scholar
Kölpin, N., Wegeneer, M., Teuber, E., Polster, S., Frey, L. & Roosen, A. 2013 Conceptional design of nano-particulate ITO inks for inkjet printing of electron devices. J. Mater. Sci. 48 (4), 16231631.CrossRefGoogle Scholar
Krieger, I. M. & Dougherty, T. J. 1959 A mechanism for non-Newtonian flow in suspensions of rigid spheres. Trans. Soc. Rheol. 3, 137152.Google Scholar
Larson, R. G. 2014 Transport and deposition patterns in drying sessile droplets. AIChE J. 60 (5), 15381571.Google Scholar
Naqshbandi, M., Canning, J., Gibson, B. C., Nash, M. M. & Crossley, M. J. 2012 Room temperature self-assembly of mixed nanoparticles into photonic structures. Nature Commun. 3, 1188.Google Scholar
Ozawa, K., Nishitani, E. & Doi, M. 2005 Modeling of the drying process of liquid droplet to form thin film. Japan. J. Appl. Phys. 44 (6A), 42294234.Google Scholar
Park, J. & Moon, J. 2006 Control of colloidal particle deposit patterns within picoliter droplets ejected by ink-jet printing. Langmuir 22, 35063513.Google Scholar
Pierik, A., Boamfa, M., van Zelst, M., Clout, D., Stapert, H., Dijskman, F., Broer, D. & Wimberger-Friedl, R. 2012 Real time quantitative amplification detection on a microarray: towards high multiplex quantitative PCR. Lab on a Chip 12, 18971902.CrossRefGoogle ScholarPubMed
Routh, A. F. 2013 Drying of thin colloidal films. Rep. Prog. Phys. 76 (4), 046603.Google Scholar
Routh, A. F. & Russel, W. B. 1998 Horizontal drying fronts during solvent evaporation from latex films. AIChE J. 44 (9), 20882098.Google Scholar
Salamanca, J. M., Ciampi, E., Faux, D. A., Glover, P. M., Mcdonald, P. J., Routh, A. F., Peters, A. C. I. A., Satguru, R. & Keddie, J. L. 2001 Lateral drying in thick films of waterborne colloidal particles. Langmuir 17, 32023207.Google Scholar
Schmidt, R. L., Randall, J. C. & Clever, H. L. 1966 The surface tension and density of binary hydrocarbon mixtures: benzene-n-hexane and benzene-n-dodecane. J. Phys. Chem. Ref. Data 70, 39123916.Google Scholar
Sefiane, K., David, S. & Shanahan, M. E. R. 2008 Wetting and evaporation of ninary mixture drops. J. Phys. Chem. B 112, 1131711323.Google Scholar
Sekitani, T., Noguchi, Y., Zschieschang, U., Klauk, H. & Someya, T. 2008 Organic transistors manufactured using inkjet technology with subfemtoliter accuracy. Proc. Natl Acad. Sci. USA 105 (13), 49764980.Google Scholar
Sirringhaus, H., Kawase, T., Friend, R. H., Shimoda, T., Inbasekaran, M., Wu, W. & Woo, E. P. 2000 High-resolution inkjet printing of all-polymer transistor circuits. Science 290 (5499), 21232126.Google Scholar
Suri, S. K. & Ramakrishna, V. 1968 Surface tension of some binary liquid mixtures. J. Phys. Chem. 72 (9), 30733079.Google Scholar
Talbot, E. L., Berson, A. & Bain, C. D.2012 Drying and deposition of picolitre droplets of colloidal suspensions in binary solvent mixtures. NIP28: 28th International Conference on Digital Printing Technologies and Digital Fabrication, Quebec City, Canada, Sept. 9–13 2012. Tech. Rep. The Society for Imaging Science and Technology.Google Scholar
Tarasevich, Y. Y., Vodolazskaya, I. V. & Bondarenko, O. P. 2013 Modeling of spatial-temporal distribution of the components in the drying sessile droplet of biological fluid. Colloids Surf. A 432, 99103.Google Scholar
Teichler, A., Perelaer, J. & Schubert, U. S. 2013 Screening of film formation qualities of various solvent systems for ${\rm\pi}$ conjugated polymers via combinatorial inkjet printing. Macromol. Chem. Phys. 214 (5), 547555.Google Scholar
Tekin, E., de Gans, B. J. & Schubert, U. S. 2004 Inkjet printing of polymers: from single dots to thin film libraries. J. Mater. Chem. 14, 26272632.Google Scholar
Vermant, J. 2011 Fluid mechanics: when shape matters. Nature 476, 286287.Google Scholar
Wohlfarth, C. 2008 Surface Tension of the Mixture (1) Ethanol; (2) Methyl Benzoate. In Supplement to iv/16, Landolt-Bornstein – Group IV Physical Chemistry (ed. Lechner, M. D.), vol. 24, pp. 439441. Dover.Google Scholar
Wray, A. W., Papageorgiou, D. T., Craster, R. V., Sefiane, K. & Matar, O. K. 2014 Electrostatic suppression of the coffee-stain effect. Langmuir 30 (20), 58495858.Google Scholar
Wu, Y., Eliyahu, J., Liu, P. & Hu, N. X.2012 Solvent-based inks comprising silver nanoparticles. priority date Mar 7, 2011. filing date Mar 7, 2011. Tech. Rep. Xerox Corporation.Google Scholar
Yamaue, T., Jung, Y. & Doi, M.2006 The modeling and simulation of dot formation kinetics in the drying process of polymer solution drop. Symposium 8: multiscale simulation approaches for static and dynamic properties of macromolecular materials, Freiburg, Germany, Sept. 18–22, 2006. Tech. Rep. The Proceedings of the Third International Conference Multiscale Materials Modeling.Google Scholar
Yang, W., Liu, C., Zhang, Z., Liu, Y. & Nie, S. 2012 One step synthesis of uniform organic silver ink drawing directly on paper substrates. J. Mater. Chem. 22, 2301223016.Google Scholar
Yeo, L. Y., Craster, R. V. & Matar, O. K. 2003 Marangoni instability of a thin liquid film resting on a locally heated horizontal wall. Phys. Rev. E 67, 056315.Google Scholar
Yunker, P. J., Still, T., Lohr, M. A. & Yodh, A. G. 2011 Suppression of the coffee-ring effect by shape-dependent capillary interactions. Nature 476, 308311.Google Scholar
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