13 research outputs found

    Online Appendix for Splitting Operator

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    Online-only appendix describing the mathematical details of the splitting operator and how to generate rate matrices

    Python Script for Comparing Non-Clocklike Triplets to Convergence-Divergence Models

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    The attached text file is intended to run in Python. Data is simulated from a 3-taxon non-clocklike tree and tested to see whether it is consistent with a 3-taxon convergence-divergence model. Similarly, data is simulated from a 3-taxon convergence-divergence model and tested to see whether it is consistent with a 3-taxon non-clocklike tree

    characterCompat

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    R script compiled for compatibility tes

    Hydrogen Bonding Network Disruption in Mesoporous Catalyst Supports Probed by PFG-NMR Diffusometry and NMR Relaxometry

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    The pulsed-field gradient (PFG)-NMR technique has been applied to study molecular diffusion of organic liquids within mesoporous materials used in heterogeneous catalysis, in order to assess the effect of chemical functionalities on the effective self-diffusivity of the probe molecule within the pore space. True tortuosity values of the porous matrix can be calculated from the ratio of the unrestricted free self-diffusivity to the self-diffusivity within the pore space only when the small liquid-phase probe molecules do not have any chemical functionality that interacts within the solid phase (e.g., alkanes). The use of molecules with reactive chemical functionalities gives values heavily dependent on the physical and chemical interactions within the porous medium; hence, these values cannot be defined as tortuosity. Polyols showed an interesting behavior of enhanced rate of self-diffusion within the confined pore space, and this is attributed to the ability of the porous medium to disrupt the extensive intermolecular hydrogen bonding network of polyols

    Hydrogen Bonding Network Disruption in Mesoporous Catalyst Supports Probed by PFG-NMR Diffusometry and NMR Relaxometry

    No full text
    The pulsed-field gradient (PFG)-NMR technique has been applied to study molecular diffusion of organic liquids within mesoporous materials used in heterogeneous catalysis, in order to assess the effect of chemical functionalities on the effective self-diffusivity of the probe molecule within the pore space. True tortuosity values of the porous matrix can be calculated from the ratio of the unrestricted free self-diffusivity to the self-diffusivity within the pore space only when the small liquid-phase probe molecules do not have any chemical functionality that interacts within the solid phase (e.g., alkanes). The use of molecules with reactive chemical functionalities gives values heavily dependent on the physical and chemical interactions within the porous medium; hence, these values cannot be defined as tortuosity. Polyols showed an interesting behavior of enhanced rate of self-diffusion within the confined pore space, and this is attributed to the ability of the porous medium to disrupt the extensive intermolecular hydrogen bonding network of polyols

    Hydrogen Bonding Network Disruption in Mesoporous Catalyst Supports Probed by PFG-NMR Diffusometry and NMR Relaxometry

    No full text
    The pulsed-field gradient (PFG)-NMR technique has been applied to study molecular diffusion of organic liquids within mesoporous materials used in heterogeneous catalysis, in order to assess the effect of chemical functionalities on the effective self-diffusivity of the probe molecule within the pore space. True tortuosity values of the porous matrix can be calculated from the ratio of the unrestricted free self-diffusivity to the self-diffusivity within the pore space only when the small liquid-phase probe molecules do not have any chemical functionality that interacts within the solid phase (e.g., alkanes). The use of molecules with reactive chemical functionalities gives values heavily dependent on the physical and chemical interactions within the porous medium; hence, these values cannot be defined as tortuosity. Polyols showed an interesting behavior of enhanced rate of self-diffusion within the confined pore space, and this is attributed to the ability of the porous medium to disrupt the extensive intermolecular hydrogen bonding network of polyols

    Exploring Surface Interactions in Catalysts Using Low-Field Nuclear Magnetic Resonance

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    Fast field cycling (FFC) nuclear magnetic resonance (NMR) is applied to probe the slow dynamics of liquid molecules imbibed in porous catalysts. The FFC measurements are used to determine surface diffusion correlation and residence times that provide information on the molecular dynamics of surface adsorbed species. The longitudinal relaxation time <i>T</i><sub>1</sub> dispersion curves reveal biphasic diffusion of adsorbed water that we attribute to the presence of “strongly bound” and “weakly bound” molecules. FFC measurements of organic liquids (2-butanone, 2-propanol) do not show such behavior. These observations agree with molecular dynamics simulations. The frequency dependence of the relaxation time ratio <i>T</i><sub>1</sub>/<i>T</i><sub>2</sub> is also considered; it is demonstrated that <i>T</i><sub>1</sub>/<i>T</i><sub>2</sub> remains a valid indicator of adsorption energy regardless of the field strength at which the measurement is taken in the range <i>B</i><sub>0</sub> = 0.1 mT to 0.23 T
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