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• W1978754785 abstract "Sixteen mesoporous vanado-phosphoro-aluminate solids, of the general formula Al100PXVY (X, Y = 0, 5, 10, 20), have been prepared and characterized by their N2 adsorption/desorption isotherms. The materials were truly mesoporous, and the addition of P and/or V affects in a very precise and profound way the corresponding specific surface areas Sp (m2 g-1), specific pore volumes (cm3 g-1), the mean hydraulic pore diameter dp (4Vp/Sp) (nm), the maximum of the pore size distribution (psd) dmax (nm), and the full width at half-maximum (fwhm) (nm) of the psd. The pore connectivity c was also determined and the dimensionality Dcc of adsorption was estimated in the pressure range where capillary condensation of N2 in the pores takes place. The dimensionality Dcc was found to be related to the dmax, reduced over the fwhm, via the relation Dcc ≈ 3.7(dmax/fwhm). The two parameters, dimensionality Dcc and connectivity c, are also related to each other via the simple relation log c ∝ −1.83 log Dcc, which in turn results in the relation log c ∝ −1.83 log(dmax/fwhm). A parallelism is drawn between the connectivity of pores in solids and its relation to the pore size, on one hand, and the degree of branching b of trees and its relation with the branch diameter dk, on the other. Using allometric relations already established for such hierarchically developed natural systems, that is, trees, we reach a relation between b and dk of the form log b ∝ −2.34 log(dk,max/2dmean) where dk,max is the average diameter of the higher order (thinner) branches in a typical tree and dmean is the arithmetic mean diameter of all branches of that tree. The reasons for these similarities are discussed." @default.
• W1978754785 created "2016-06-24" @default.
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• W1978754785 date "2001-11-30" @default.
• W1978754785 modified "2023-09-27" @default.
• W1978754785 title "Relationship between Pore Connectivity and Mean Pore Size in Modulated Mesoporous Vanado-Phosphoro-Aluminates and Some Similarities with the Branching of Trees" @default.
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• W1978754785 doi "https://doi.org/10.1021/la011126s" @default.
• W1978754785 hasPublicationYear "2001" @default.
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