Decoupling of Light Scattering and Absorption Contributions to Extinction in Pickering Emulsions
Diego M. Jiménez, Mavis L. Montero, William E. Vargas
Download Paper
Base Information
Volume
V56 - N1 / 2023 Ordinario
Reference
51112
DOI
http://dx.doi.org/10.7149/OPA.56.1.51112
Language
English
Keywords
Pickering emulsions, diffusing materials, scattering coefficient, absorption coefficient, numerical optimization, optical properties, Dodecane, Nile Red.
Abstract
Direct transmittance spectra of Dodecane based Pickering emulsions are inverted to obtain the spectral behavior of their intrinsic scattering and absorption coefficients per unit length, µsca and µabs respectively. The spectral range includes ultraviolet, visible, and near infrared wavelengths. Dynamic light scattering has been used to characterize the bimodal lognormal size distribution of the ensemble of particles or micelles. Lorentz-Mie theory is applied to show how the morphology and composition of the particles influence the scattering and absorption cross sections. A spectral projected gradient method is applied to carry out the inversion of transmittance spectra. Three light scattering and absorbing particles in water are considered: those consisting of submicron-sized Dodecane micelles, Dodecane particles capped with self-assembled nano-sized anatase (TiO2) particles, and similar ones anatase capped Dodecane micelles with dissolved Nile Red dye.
References
Y. Yang, Z. Fang, X. Chen, W. Zhang, Y. Xie, Y. Chen, Z. Liu, W. Yuan, “An overview of Pickering emulsions: solid-particle materials, classification, morphology, and applications”, Frontiers in Pharmacology 8, 00287 (2017).
A. M. Bago Rodriguez, B. P. Binks, “Catalysis in Pickering emulsions”, Soft Matter 16, 10221–10243 (2020).
M. Pera-Titus, L. Leclercq, J. M. Clacens, F. De Campo, V. Nardello-Rataj, “Pickering interfacial catalysis for biphasic systems: from emulsion design to green reactions”, Angew. Chem. Int. Ed. Engl. 54, 2006– 2021 (2015).
C. Wang, E. Bu, Y. Chen, Z. Cheng, J. Zhang, R. Shu, Q. Song, “Enhanced photoreforming hydrogen production: Pickering interfacial catalysis from a bio-derived biphasic system”, Renewable Energy 134, 113–124 (2019).
N. Fessi, M. F. Nsib, Y. Chevalier, C. Guillard, F. Dappozze, A. Houas, L. Palmisano, F. Parrino, “Photocatalytic degradation enhancement in Pickering emulsions stabilized by solid particles of bare TiO ”, Langmuir 35, 2129–2136 (2019).
N. Ghobadi, “Band gap determination using absorption spectrum fitting procedure”, Int. Nano Lett. 3, 2 (2013).
M. Ono, Y. Nonomura, H. Gonome, “Optical properties of Pickering emulsions and foams”, Langmuir 38, 1440-1447 (2022).
G. S. Kell, “Density, thermal expansivity, and compressibility of liquid water from 0 to 150 oC: correlations and tables for atmospheric pressure and saturation reviewed and expressed on 1968 temperature scale”, J. Chem. Eng. Data 20, 97-105 (1975).
D. A. H. Hanaor, C. C. Sorrell, “Review of the anatase to rutile phase transformation”, J. Mater. Sci. 46, 855-874 (2011).
B. J. Berne, R. Pecora Dynamic Light Scattering with Applications to Chemistry, Biology, and Physics, Dover, New York (2000).
L. B. Kiss, J. Söderlund, G. A. Niklasson, C. G. Granqvist, “New approach to the origin of lognormal size distributions of nanoparticles”, Nanotechnology 10, 25-28 (1999).
L. B. Kiss, J. Söderlund, G. A. Niklasson, C. G. Granqvist, “The real origin of lognormal size distributions of nanoparticle in vapor growth processes”, Nano Structured Materials 12, 327-332 (1999).
C. G. Granqvist, O. Hunderi, “Optical properties of ultrafine gold particles”, Phys. Rev. B 16, 3513-3534 (1977).
C. Zong, “Packing, covering and tiling in two-dimensional spaces”, Expo. Math. 32, 297-464 (2014).
D. M. Jiménez, M. L. Montero, W. E. Vargas, “Optical analysis based on standard spectrophotometric transmittance measurements through liquid samples with application to dodecane oil and dissolved Nile Red”, Ópt. Pura Apl. 55, 51110 (2022).
I. H. Malitson, “Interspecimen comparison of the refractive index of fused silica”, J. Opt. Soc. Am. 55, 1205-1209 (1965).
C. Z. Tan, “Determination of refractive index of silica glass for infrared wavelengths by IR spectroscopy”, J. Non-Cryst. Solids 223, 158-163 (1998).
M. I. Aralaguppi, C. V. Jadar, T. M. Aminabhavi, “Density, refractive index, viscosity, and speed of sound in binary mixtures of cyclohexanone with hexane, heptane, octane, nonane, decane, dodecane, and 2,2,4-trimethylpentane”, J. Chem. Eng. Data 44, 435-440 (1999).
K. K. Gorai, A. Shastri, P. J. Singh, S. N. Jha, “Experimental and theoretical studies on the absorption spectra of n-dodecane in the IR and VUV regions”, J. Quant. Spec. & Rad. Transfer 236, 106582 (2019).
T. Siefke, S. Kroker, K. Pfeiffer, O. Puffky, K. Dietrich, D. Franta, I. Ohlidal, A. Szeghalmi, “Materials pushing the application limits of wire grid polarizers further into the deep ultraviolet spectral range”, Advanced Optical Materials 4, 1780-1786 (2016).
G. M. Hale, M. R. Querry, “Optical constants of water in the 200-nm to 200-µm wavelength region”, Appl. Opt. 12, 555-563 (1973).
S. C. Pillai, P. Periyat, R. George, D. E. McCormack, M. K. Seery, H. Hayden, J. Colreavy, D. Corr, S. J. Hinder, “Synthesis of high-temperature stable anatase TiO photocatalyst”, J. Phys. Chem. C 111, 1605-1611 (2007).
M. Dressel, G. Grüner, Electrodynamics of Solids: Optical Properties of Electrons in Matter, Cambridge University Press, New York (2002).
G. Mie, “Beiträge zur Optik trüber Medien, Speziell Kolloidaler Metallösungen”, Ann. Phys. 25, 376-445 (1908).
H. C. van de Hulst, Light Scattering by Small Particles, Dover, New York (1981).
U. Kreibig, M. Vollmer, Optical Properties of Metal Clusters, Springer, Berlin (1995).
G. Arfken, Mathematical Methods for Physicist, Academic Press, San Diego (1985).
W. J. Wiscombe, “Improved Mie scattering algorithms”, Appl. Opt. 19, 1505-1509 (1980).
A. L. Aden, M. Kerker, “Scattering of electromagnetic waves from two concentric spheres”, J. Appl. Phys. 22, 1242-1246 (1951).
J. Sinzig, M. Quinten, “Scattering and absorption by spherical multilayer particles”, Appl. Phys. A 58, 157-162 (1994).
H. P. Myers, Introductory Solid State Physics, Taylor & Francis, London (1990).
M. Rubin, “Solar optical properties of windows”, Energy Research 6, 123-133 (1982).
P. Pfrommer, K. J. Lomas, C. Seale, C. Kupke, “The radiation transfer through coated and tinted glazing”, Solar Energy 54, 287-299 (1995).
W. E. Vargas, J. Wang, G. A. Niklasson, “Scattering and absorption cross sections of light diffusing materials retrieved from reflectance and transmittance spectra of collimated radiation”, J. Mod. Opt. 67, 974-991 (2020).
M. Raydan, “The Barzilai and Borwein gradient method for the large-scale unconstrained minimization problem”, SIAM J. Optim. 7, 26-33 (1997).
E. G. Birgin, J. M. Martínez, M. Raydan, “Nonmonotone spectral projected gradient methods on convex sets”, SIAM J. Optim. 10, 1196-1211 (2000).
W. E. Vargas, D. E. Azofeifa, N. Clark, “Retrieved optical properties of thin films on absorbing substrates from transmittance measurements by application of a spectral projected gradient method”, Thin Solid Films 425, 1-8 (2003).
A. Ramírez-Porras, W. E. Vargas-Castro, “Transmission of visible light through oxidized copper films: feasibility of using a spectral projected gradient method”, Appl. Opt. 43, 1508-1514 (2004).
A. B. Murphy, “Optical properties of an optically rough coating from inversion of diffuse reflectance measurements”, Appl. Opt. 46, 3133-3143 (2007).
E. G. Birgin, J. M. Martínez, M. Raydan, “Spectral projected gradient methods”, in C. A. Floudas and P. M. Pardalos editors, Encyclopedia of Optimization, Springer, Boston, MA, pp. 32-36 (2008).
E. G. Birgin, J. M. Martínez, M. Raydan, “Spectral projected gradient methods: review and perspectives”, J. Stat. Soft. 60, 1-21 (2014).
E. G. Birgin, J. M. Martínez, Practical Augmented Lagrangian Methods for Constrained Optimization, SIAM, Philadelphia (2014).
J. Barzilai, J. M. Borwein, “Two-point step size gradient methods”, IMA J. Num. Anal. 8, 141-148 (1988).
O. B. Toon, T. P. Ackerman, “Algorithms for the calculation of the scattering by stratified spheres”, Appl. Opt. 20, 3657-3660 (1981).
W. E. Vargas, D. M. Jiménez, M. L. Montero, “Model to subtract contributions of scattered radiation from measured direct transmittance and specular reflectance by light diffusing materials”, Appl. Opt. 61, 10197-10206 (2022).
O. S. Heavens, Optical Properties of Thin Solid Films, Dover, New York (1991).
S. Quirós-Achí, W. E. Vargas-Castro, “Scattering and absorption coefficients of biological chlorophyll pigmented grains in aqueous suspension”, Chromatogr. Spectrosc. Tech. 4, 48-60 (2021).