Relationship between pore connectivity and mean pore size in modulated mesoporous vanado-phosphoro-aluminates and some similarities with the branching of trees
dc.contributor.author | Pomonis, P. J. | en |
dc.contributor.author | Kolonia, K. M. | en |
dc.contributor.author | Armatas, G. S. | en |
dc.date.accessioned | 2015-11-24T16:46:19Z | |
dc.date.available | 2015-11-24T16:46:19Z | |
dc.identifier.issn | 0743-7463 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/9060 | |
dc.rights | Default Licence | - |
dc.subject | nitrogen sorption measurements | en |
dc.subject | fractal catalyst pore | en |
dc.subject | porous solids | en |
dc.subject | capillary condensation | en |
dc.subject | adsorption-isotherm | en |
dc.subject | surface | en |
dc.subject | diffusion | en |
dc.subject | dimension | en |
dc.subject | scattering | en |
dc.title | Relationship between pore connectivity and mean pore size in modulated mesoporous vanado-phosphoro-aluminates and some similarities with the branching of trees | en |
heal.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 N-2 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 (m(2) g(-1)), specific pore volumes (cm(3) g(-1)), the mean hydraulic pore diameter d(p) (4V(p)/S-p) (nm), the maximum of the pore size distribution (psd) d(max) (nm), and the full width at half-maximum (fwhm) (nm) of the psd. The pore connectivity c was also determined and the dimensionality D-cc of adsorption was estimated in the pressure range where capillary condensation of N-2 in the pores takes place. The dimensionality D-cc was found to be related to the d(max), reduced over the fwhm, via the relation D-cc approximate to 3.7(d(max)/fwhm). The two parameters, dimensionality D-cc and connectivity c, are also related to each other via the simple relation log proportional to -1.83 log D-cc, which in turn results in the relation log c proportional to -1.83 log(d(max)/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 d(k), on the other. Using allometric relations already established for such hierarchically developed natural systems, that is, trees, we reach a relation between b and d(k) of the form log b proportional to -2.34 log(d(k,max)/2d(mean)) where d(k,max) is the average diameter of the higher order (thinner) branches in a typical tree and d(mean) is the arithmetic mean diameter of all branches of that tree. The reasons for these similarities are discussed. | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.identifier.primary | Doi 10.1021/La011126s | - |
heal.identifier.secondary | <Go to ISI>://000172956200069 | - |
heal.identifier.secondary | http://pubs.acs.org/doi/pdfplus/10.1021/la011126s | - |
heal.journalName | Langmuir | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 2001 | - |
heal.publisher | American Chemical Society | en |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας | el |
heal.type | journalArticle | - |
heal.type.el | Άρθρο Περιοδικού | el |
heal.type.en | Journal article | en |
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