Improved Horvath—Kawazoe equations including spherical pore models for calculating micropore size distribution

Cheng, Linda S.; T, Yang Ralph

doi:10.1016/0009-2509(94)e0054-t

Cited by 163 publications

(96 citation statements)

References 20 publications

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“…Thus, a more accurate model that takes into account localized adsorption phenomena was adopted. Data analysis was done using the equations proposed by Chen and Yang 22 in the form of a Fortran 77 code to model the adsorption of gases in spherical pores by a modified HorvathKawazoe 23 approach. A coverage-dependent term, as proposed by Chen and Yang, 22 was incorporated into the modeling of spherical cavities.…”

Section: Methodsmentioning

confidence: 99%

“…Data analysis was done using the equations proposed by Chen and Yang 22 in the form of a Fortran 77 code to model the adsorption of gases in spherical pores by a modified HorvathKawazoe 23 approach. A coverage-dependent term, as proposed by Chen and Yang, 22 was incorporated into the modeling of spherical cavities. Polarizability and magnetic susceptibility data for both Ar and the oxide ion were taken from the literature.…”

Section: Methodsmentioning

confidence: 99%

“…Polarizability and magnetic susceptibility data for both Ar and the oxide ion were taken from the literature. 22 In our data analysis procedure, the only parameter that was slightly changed was the Ar polarizability (from 1.63 × 10 −24 to 1.0 × 10 −24 cm 3 ) to reproduce accurate pore sizes of zeolite reference samples such as 5A and Y.…”

Section: Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Facile Sol-gel Synthesis of Porous Silicas Using Poly(propylene)imine Dendrimers as Templates

Larsen¹,

Lotero

Márquez

2000

J. Mater. Res.

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Commercially available poly(propylene)imine (DAB-Am-32 and DAB-Am-64) dendrimers were used as single-molecule templates to tailor the porosity of silicas via a nonacidic sol-gel method. X-ray diffraction on both the as-prepared (oven-dried at 373 K) and the calcined (833 K) materials revealed that modest contraction took place on template removal and that the cavities created did not achieve three-dimensional ordering under the current synthesis conditions. Transmission electron microscopy of "Pt-stained" samples supported this picture. A modified Horvath-Kawazoe analysis of the argon adsorption isotherms indicated that DAB-Am-64 is a much more effective template than DAB-Am-32. Pyrolysis and oxidation protocols for template removal are also presented.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Facile Sol-gel Synthesis of Porous Silicas Using Poly(propylene)imine Dendrimers as Templates

Larsen¹,

Lotero

Márquez

2000

J. Mater. Res.

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“…Here we applied the classical Horvath-Kawazoe (HK) method which gives a brief feature of the pore size distribution [45,46]. Table 3.…”

Section: Pore Size Distribution From Horvath-kawazoe Methodsmentioning

confidence: 99%

Comparative pore structure analysis of highly porous graphene monoliths treated at different temperatures with adsorption of N2 at 77.4 K and of Ar at 87.3 K and 77.4 K

Wang

Minami

Kaneko

2015

Microporous and Mesoporous Materials

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Abstract:We prepared nanoporous graphene monolith of different porosity by high temperature treatment up to 2073 K in Ar. The porosity is comparatively evaluated with N2 adsorption isotherms at 77.4 K and Ar adsorption isotherms at 87.3 K and 77.4 K. N2 adsorption at 77.4 K shows an excess adsorption amount below 3 × 10 -3 of the relative pressure which is caused by the quadrupole moment of an N2 molecule. This effect doesn't give significant influence on the determination of the total surface area from subtracting pore effect (SPE) method, the micropore volume from Dubinin-Radushkevich (DR) method and the total pore volumes from the Gurvitch rule.However, the peak of the micropore size distribution determined by Horvath-Kawazoe (HK) method from N2 adsorption at 77.4 K shifts to a smaller size than that from Ar adsorption at 87.3 K by 0.05 to 0.09 nm.

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“…The original HK model was developed for slit pores with a linear Henry's law isotherm assumption. Saito and Foley proposed HKtype equations for cylindrical pores [10]; Cheng and Yang presented the first modified HK model based on the Langmuir isotherm and also included spherical pore equations in their analyses [11]. Rege and Yang (R-Y) addressed the incorrect estimation of adsorbateadsorbate interactions energy in the original HK model which had caused the model to underpredict the PSD for micropore widths exceeding two adsorbate molecular diameters.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty in pore size distribution derived from adsorption isotherms: I. Classical methods

Madani

Badalyan

Biggs

et al. 2015

Microporous and Mesoporous Materials

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Procedures for propagation of uncertainty in pore size distribution calculation based on classical methods for both micro and mesoporous materials are described. Uncertainty in experimental adsorption isotherm data and uncertainty in temperature are introduced as the main sources for uncertainty in height and position of peaks of PSD determined via classical mesopore size distribution determination method. Uncertainty in PSD derived from classical micropore size distribution methods mainly arises from uncertainty in experimental isotherm data. Calculation step size is shown to have some effects on magnitude of uncertainty in micropore calculation. Micropore size distribution calculations are also highly sensitive to the adsorptive molecular diameter.

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Improved Horvath—Kawazoe equations including spherical pore models for calculating micropore size distribution

Cited by 163 publications

References 20 publications

Facile Sol-gel Synthesis of Porous Silicas Using Poly(propylene)imine Dendrimers as Templates

Facile Sol-gel Synthesis of Porous Silicas Using Poly(propylene)imine Dendrimers as Templates

Comparative pore structure analysis of highly porous graphene monoliths treated at different temperatures with adsorption of N2 at 77.4 K and of Ar at 87.3 K and 77.4 K

Uncertainty in pore size distribution derived from adsorption isotherms: I. Classical methods

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