Computational study of uniaxial deformations in silica aerogel using a coarse-grained model

Simulations of a flexible coarse-grained model are used to study silica aerogels. This model, introduced in a previous study (J. Phys. Chem. C 2007, 111, 15792), consists of spherical particles which interact through weak nonbonded forces and strong interparticle bonds that may form and break during the simulations. Small-deformation simulations are used to determine the elastic moduli of a wide range of material models, and large-deformation simulations are used to probe structural evolution and plastic deformation. Uniaxial deformation at constant transverse pressure is simulated using two methods: a hybrid Monte Carlo approach combining molecular dynamics for the motion of individual particles and stochastic moves for transverse stress equilibration, and isothermal molecular dynamics simulations at fixed Poisson ratio. Reasonable agreement on elastic moduli is obtained except at very low densities. The model aerogels exhibit Poisson ratios between 0.17 and 0.24, with higher-density gels clustered around 0.20, and Young's moduli that vary with aerogel density according to a power-law dependence with an exponent near 3.0. These results are in agreement with reported experimental values. The models are shown to satisfy the expected homogeneous isotropic linear-elastic relationship between bulk and Young's moduli at higher densities, but there are systematic deviations at the lowest densities. Simulations of large compressive and tensile strains indicate that these materials display a ductile-to-brittle transition as the density is increased, and that the tensile strength varies with density according to a power law, with an exponent in reasonable agreement with experiment. Auxetic behavior is observed at large tensile strains in some models. Finally, at maximum tensile stress very few broken bonds are found in the materials, in accord with the theory that only a small fraction of the material structure is actually load-bearing

Grand-canonical Monte Carlo adsorption studies on SBA-2 periodic mesoporous silicas

SBA-2 and STAC-1 are periodic mesoporous silicas with slightly different structures whose pore networks consist of spherical cavities interconnected by windows. This feature makes them attractive for adsorptive separation processes where the selectivity originates from molecular sieving. Recently, we were able to obtain realistic atomistic models for these materials by means of a kinetic Monte Carlo (kMC) method. In this paper, we evaluate the ability of the model to predict adsorption of both nonpolar (methane and ethane) and polar (carbon dioxide) adsorptives. Predictions are in good agreement with experimental data, demonstrating the potential of these kMC-based models for use in the design of adsorption processes and the materials used in them. In particular, we show that surface roughness is a key feature for predicting adsorption in SBA-2 materials at low pressures; this is especially relevant in prospective applications such as carbon dioxide capture. (Chemical Equation Presented)

A transferable model for adsorption in MOFs with unsaturated metal sites

The number of newly discovered Metal-Organic Frameworks is growing exponentially. Molecular simulation is becoming increasingly important to screen large databases of structures and identify potential candidates for challenging gas separations, but such efforts rely on the availability of accurate molecular models that can predict adsorption in a wide range of different MOFs. MOFs with co-ordinatively unsaturated sites (CUS) pose particular problems because standard force fields are unable to describe their specific interactions with certain adsorbates. In this paper, we demonstrate that our previous approach to describe adsorption in open metal sites, based on a combination of classical Monte Carlo simulations and quantum-mechanical Density Functional Theory calculations, is transferable to several Cu-containing MOFs. By fitting the parameters of our model to match adsorption energies of ethylene on HKUST-1 and transferring them to the Cu-paddlewheel units of other MOFs, we have obtained predictions in good agreement with experimental adsorption measurements. Where agreement is not as satisfactory, we show that this can be explained by limited accessibility or diffusion through the pore network. For one particular MOF, UMCM-150, we show that separate parameters need to be used for the Cu-trimer unit, for which the interaction energies with ethylene are much lower than in the Cu-paddlewheel. Overall, our approach demonstrates that the specific CUS interactions in MOFs can be parameterised separately from other interaction types, such as van der Waals, thus opening the way for the development of an accurate and fully transferable force field for this class of materials

Kinetic Monte Carlo Simulation of the Synthesis of Periodic Mesoporous Silicas SBA-2 and STAC-1: Generation of Realistic Atomistic Models

SBA-2 and STAC-1 are two related periodic mesoporous silicas (PMSs) that have regular networks of spherical, interconnected pores; the pores are similar in the two materials but the networks differ in their symmetry. The nature of the interconnected network of pores in these materials gives rise to interesting properties related to their potential use in separation processes. In this work, we extend a kinetic Monte Carlo (kMC) technique, originally derived for MCM-41, a simpler PMS, and apply it to mimic the condensation, aggregation, deformation, and calcination stages of the synthesis of SBA-2 and STAC-1. Our simulated synthesis results suggest that the pores are connected through windows formed during micelle aggregation because of the close packing of the spherical micelles and the presence of water molecules at the silica micelle interface. The simulated materials were validated by comparing properties such as unit cell size, pore size, pore shape, and wall density to results from experimental X-ray diffraction (XRD), transmission electron microscopy (TEM), density measurements, and Si-29 NMR Quantitative agreement between simulated and experimental nitrogen isotherms was achieved demonstrating the realism of the pore models obtained by the kMC simulations. Our results highlight the importance of a realistic, rough pore surface for the prediction of adsorption at low pressures in these materials.</p

Kinetic Monte Carlo Simulation of the Synthesis of Periodic Mesoporous Silicas SBA‑2 and STAC-1: Generation of Realistic Atomistic Models

SBA-2 and STAC-1 are two related periodic mesoporous silicas (PMSs) that have regular networks of spherical, interconnected pores; the pores are similar in the two materials but the networks differ in their symmetry. The nature of the interconnected network of pores in these materials gives rise to interesting properties related to their potential use in separation processes. In this work, we extend a kinetic Monte Carlo (kMC) technique, originally derived for MCM-41, a simpler PMS, and apply it to mimic the condensation, aggregation, deformation, and calcination stages of the synthesis of SBA-2 and STAC-1. Our simulated synthesis results suggest that the pores are connected through windows formed during micelle aggregation because of the close packing of the spherical micelles and the presence of water molecules at the silica–micelle interface. The simulated materials were validated by comparing properties such as unit cell size, pore size, pore shape, and wall density to results from experimental X-ray diffraction (XRD), transmission electron microscopy (TEM), density measurements, and ²⁹Si NMR. Quantitative agreement between simulated and experimental nitrogen isotherms was achieved demonstrating the realism of the pore models obtained by the kMC simulations. Our results highlight the importance of a realistic, rough pore surface for the prediction of adsorption at low pressures in these materials

Kinetic Monte Carlo Simulation of the Synthesis of Periodic Mesoporous Silicas SBA‑2 and STAC-1: Generation of Realistic Atomistic Models

SBA-2 and STAC-1 are two related periodic mesoporous silicas (PMSs) that have regular networks of spherical, interconnected pores; the pores are similar in the two materials but the networks differ in their symmetry. The nature of the interconnected network of pores in these materials gives rise to interesting properties related to their potential use in separation processes. In this work, we extend a kinetic Monte Carlo (kMC) technique, originally derived for MCM-41, a simpler PMS, and apply it to mimic the condensation, aggregation, deformation, and calcination stages of the synthesis of SBA-2 and STAC-1. Our simulated synthesis results suggest that the pores are connected through windows formed during micelle aggregation because of the close packing of the spherical micelles and the presence of water molecules at the silica–micelle interface. The simulated materials were validated by comparing properties such as unit cell size, pore size, pore shape, and wall density to results from experimental X-ray diffraction (XRD), transmission electron microscopy (TEM), density measurements, and ²⁹Si NMR. Quantitative agreement between simulated and experimental nitrogen isotherms was achieved demonstrating the realism of the pore models obtained by the kMC simulations. Our results highlight the importance of a realistic, rough pore surface for the prediction of adsorption at low pressures in these materials

Kinetic Monte Carlo Simulation of the Synthesis of Periodic Mesoporous Silicas SBA‑2 and STAC-1: Generation of Realistic Atomistic Models

SBA-2 and STAC-1 are two related periodic mesoporous silicas (PMSs) that have regular networks of spherical, interconnected pores; the pores are similar in the two materials but the networks differ in their symmetry. The nature of the interconnected network of pores in these materials gives rise to interesting properties related to their potential use in separation processes. In this work, we extend a kinetic Monte Carlo (kMC) technique, originally derived for MCM-41, a simpler PMS, and apply it to mimic the condensation, aggregation, deformation, and calcination stages of the synthesis of SBA-2 and STAC-1. Our simulated synthesis results suggest that the pores are connected through windows formed during micelle aggregation because of the close packing of the spherical micelles and the presence of water molecules at the silica–micelle interface. The simulated materials were validated by comparing properties such as unit cell size, pore size, pore shape, and wall density to results from experimental X-ray diffraction (XRD), transmission electron microscopy (TEM), density measurements, and ²⁹Si NMR. Quantitative agreement between simulated and experimental nitrogen isotherms was achieved demonstrating the realism of the pore models obtained by the kMC simulations. Our results highlight the importance of a realistic, rough pore surface for the prediction of adsorption at low pressures in these materials

Pore-network connectivity and molecular sieving of normal and isoalkanes in the mesoporous silica SBA-2

We have studied the adsorption of n-butane and isobutane in the mesoporous silica SBA-2. Our work has two purposes: (i) to better understand the structure of the material, and in particular the impact of calcination on the evolution of the pore network, and (ii) to investigate our ability to tune the structure of SBA-2 to separate normal and isoalkanes by molecular sieving. By a combination of experimental adsorption measurements, molecular simulation, and percolation analysis, we determined the evolution of the sizes of the pores and the connectivity of the pore network as the calcination temperature increases. For a certain range of calcination temperatures, the pore network drops below its percolation threshold for isobutane, while allowing the percolation of n-butane, giving an extremely high selectivity for n-butane over isobutane. This suggests that tuning the window size of SBA-2 and other structured mesoporous materials of this general type has the potential to generate optimized adsorbents for particular applications

Pore-Network Connectivity and Molecular Sieving of Normal and Isoalkanes in the Mesoporous Silica SBA‑2

We have studied the adsorption of <i>n</i>-butane and isobutane in the mesoporous silica SBA-2. Our work has two purposes: (i) to better understand the structure of the material, and in particular the impact of calcination on the evolution of the pore network, and (ii) to investigate our ability to tune the structure of SBA-2 to separate normal and isoalkanes by molecular sieving. By a combination of experimental adsorption measurements, molecular simulation, and percolation analysis, we determined the evolution of the sizes of the pores and the connectivity of the pore network as the calcination temperature increases. For a certain range of calcination temperatures, the pore network drops below its percolation threshold for isobutane, while allowing the percolation of <i>n</i>-butane, giving an extremely high selectivity for <i>n</i>-butane over isobutane. This suggests that tuning the window size of SBA-2 and other structured mesoporous materials of this general type has the potential to generate optimized adsorbents for particular applications