2014
DOI: 10.1021/jp412588f
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Quantum Mechanical Basis for Kinetic Diameters of Small Gaseous Molecules

Abstract: Kinetic diameters are often invoked in discussing gas adsorption and permeation in porous and polymeric materials. However, how these empirical kinetic diameters relate to the size and shape of the molecules as manifested by their "electron cloud" is unclear. In this paper, we obtain the quantum mechanical (QM) diameters of several common gaseous molecules by determining the cross-sectional sizes of their iso-electronic density surfaces at a predetermined small value. We show that the QM diameters are in good … Show more

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Cited by 239 publications
(177 citation statements)
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“…The difference in drying with air or hydrogen is pronounced only for 5Ni/13X probably due to the bigger pores of this support, which allows easier diffusion and release of the air and water molecules. In the drying step, kinetic diameters of the molecules involved reach 3.6 A for nitrogen and 3.5 A for oxygen, respectively [25]. Although this is small enough to enter the 5 A pores of the 5A structure, it is clear that the 9 A pores of the 13X structure allow for a faster transport of these molecules.…”
Section: Resultsmentioning
confidence: 97%
“…The difference in drying with air or hydrogen is pronounced only for 5Ni/13X probably due to the bigger pores of this support, which allows easier diffusion and release of the air and water molecules. In the drying step, kinetic diameters of the molecules involved reach 3.6 A for nitrogen and 3.5 A for oxygen, respectively [25]. Although this is small enough to enter the 5 A pores of the 5A structure, it is clear that the 9 A pores of the 13X structure allow for a faster transport of these molecules.…”
Section: Resultsmentioning
confidence: 97%
“…As only the pore areas contribute to hydrogen transmission, we defined a fractional parameter in the permeance calculations , where  Å is the kinetic diameter of H 2 or D 2 molecule 35 and a is the lattice constant of the strained C 2 N- h 2D. Therefore, the D 2 permeance is where p ( T ) is the thermally-weighted transmission that has to be numerically evaluated via Eq.…”
Section: Resultsmentioning
confidence: 99%
“…To unravel the effects of these limitations, the performances of the Lindlar and NanoSelect TM catalysts have been evaluated in the hydrogenation of acetylenes of varying adsorption length. Particularly, the adsorption length has been obtained from the density isocontour46 and is defined as the size of the hydrocarbon when the triple bond is activated on palladium. In fact, as shown in Figure S9 in the Supporting Information, this length differs from that of the molecule when the CC unsaturation is not activated.…”
Section: Resultsmentioning
confidence: 99%