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ÁREA DE FISICOQUÍMICA DE SUPERFICIES SUPERFICIES On Modeling Mercury Intrusion Effects in Pores of Axial Symmetry and Attenuated Cross-Section The Original Ideas of this Work are those of the Late Professor Vicente Mayagoitia: Physical Chemistry of Surfaces Area, Department of Chemistry, Universidad Autónoma Metropolitana,-Iztapalapa, Mexico Isaac Kornhauser, Carlos Felipe, Marcos Esparza, Armando Domínguez, Fernando Rojas Departamento de Química Universidad Autónoma Metropolitana- Iztapalapa, México Centro Interdisciplinario Sobre Medio Ambiente y Desarrollo, Instituto Politécnico Nacional, México

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Área de Fisicoquímica de Superficies Superficies Main goals of this study are: Main goals of this study are: 1)The influence of the pore wall angle of inclination on the intrusion pressure and radius of curvature of the liquid-vapor interface 2) The occurrence of jump-like Hg Penetration in circular pores of attenuated cross-section 2) The occurrence of jump-like Hg Penetration in circular pores of attenuated cross-section (3) The existence of a snap-off mechanism during Hg intrusion depending on the kind of structure Mayan Observatory Chichen Itzá, Yucatán, México

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Simulation of Hg intrusion. Canthotaxis effect Washburn equation: Cebeci equation: Fisicoquímica de Superficies Snap-off is assumed to happen in the smallest bonds if the two extremes of these throats are connected through continuous liquid paths to the external Hg supply

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The pore wall angle of inclination,, is given in terms of the slope of the line tangent to the pore wall (i.e. R/ X) at point X as: The Washburn equation taking into account the inclination of the pore wall can be written as:

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Circular Pore Shapes with Attenuated Cross-Section R=R 0 exp(BX)[1+cos 2 (NX)]/(1+A) Axial Pore Modeling

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Fisicoquímica de Superficies The Laplace stability condition can be written as: StructureR 0 × /nmAB ×10 3 /nm -1 N ×10 2 /nm Parameters of Circular Functions with Attenuated Cross-section for the Simulation of Axially Symmetric Pore Entities

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Área de Fisicoquímica de Superficies Atlanteans of Tula México Simulation of Hg intrusion in Structure 1 Advancing meniscus labeled after the abcissa value Jump 1 Jump 2

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Mercury intrusion in Structure 2 The Castle, Chichén Itza,Yucatan ÁREA DE FISICOQUÍMICA DE SUPERFICIES SUPERFICIES

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Fisicoquímica de Superficies Mercury intrusion in Structure 3

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Hg intrusion in Structure 4 Snap-off

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Conclusions Hg is introduced into a sequence of bulges and necks in a jump-wise fashion, similar to that that has been observed during imbibition experiments.. The threshold intrusion pressure in this kind of structures is seldom defined by the narrowest radius of a given pore throat; something similar is expected to be obtained for retraction curves (i.e. the widest section of a bulge cavity will not be defining the extrusion pressure) Meniscus snap-off leading to Hg retention can arise during intrusion. Fisicoquímica de Superficies

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Adsorption Science & Technology 2006 Volume 24 Number 8, Mechanistic and Experimental Aspects of the Structural Characterization of Some Model and Real Systems by Nitrogen Sorption and Mercury Porosimetry Carlos Felipe, Fernando Rojas, Isaac Kornhauser, Matthias Thommes and Giorgio Zgrablich Some more information about Hg porosimetry Particle &Particle Systems. Charact. 23 (2006) 48–60 Domain Complexion DiagramsRelated to Mercury Intrusion-Extrusion inMonte Carlo-Simulated PorousNetworks Carlos Felipe*, SalomónCordero*, IsaacKornhauser*, GiorgioZgrablich**, Raul López**, FernandoRojas*

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Thank you for your kind attention Glimpses of 4 great scientists and better persons! Dr. Mike Haynes Prof. Douglas H. Everett Profs. Vicente Mayagoitia & Giorgio Zgrablich

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