The effect of hydrogen bonding on the diffusion of water in n-alkanes and n-alcohols measured with a novel single microdroplet method.

While the Stokes-Einstein (SE) equation predicts that the diffusion coefficient of a solute will be inversely proportional to the viscosity of the solvent, this relation is commonly known to fail for solutes, which are the same size or smaller than the solvent. Multiple researchers have reported that for small solutes, the diffusion coefficient is inversely proportional to the viscosity to a fractional power, and that solutes actually diffuse faster than SE predicts. For other solvent systems, attractive solute-solvent interactions, such as hydrogen bonding, are known to retard the diffusion of a solute. Some researchers have interpreted the slower diffusion due to hydrogen bonding as resulting from the effective diffusion of a larger complex of a solute and solvent molecules. We have developed and used a novel micropipette technique, which can form and hold a single microdroplet of water while it dissolves in a diffusion controlled environment into the solvent. This method has been used to examine the diffusion of water in both n-alkanes and n-alcohols. It was found that the polar solute water, diffusing in a solvent with which it cannot hydrogen bond, closely resembles small nonpolar solutes such as xenon and krypton diffusing in n-alkanes, with diffusion coefficients ranging from 12.5x10(-5) cm(2)/s for water in n-pentane to 1.15x10(-5) cm(2)/s for water in hexadecane. Diffusion coefficients were found to be inversely proportional to viscosity to a fractional power, and diffusion coefficients were faster than SE predicts. For water diffusing in a solvent (n-alcohols) with which it can hydrogen bond, diffusion coefficient values ranged from 1.75x10(-5) cm(2)/s in n-methanol to 0.364x10(-5) cm(2)/s in n-octanol, and diffusion was slower than an alkane of corresponding viscosity. We find no evidence for solute-solvent complex diffusion. Rather, it is possible that the small solute water may be retarded by relatively longer residence times (compared to non-H-bonding solvents) as it moves through the liquid.

Institutional change and coproduction of public services: The effect of charter schools on parental involvement

Recent discussions of school choice have revived arguments that the decentralization of governing institutions can enhance the quality of public services by increasing the participation of intended beneficiaries in the production of those services. We use data from the Schools and Staffing Survey to examine the extent to which the decentralization of authority to charter schools induces parents to become more involved in their children's schools. We find that parents are indeed more involved in charter schools than in observationally similar public schools, especially in urban elementary and middle schools. Although we find that this difference is partly attributable to measurable institutional and organizational factors, we also find that charter schools tend to be established in areas with above-average proportions of involved parents, and we find suggestive evidence that, within those areas, it is the more involved parents who tend to select into charter schools. Thus, while the institutional characteristics of charter schools do appear to induce parents to become more involved in their children's schools, such characteristics are only part of the explanation for the greater parental involvement in charter schools than in traditional public schools. © The Author 2005. Published by Oxford University Press. All rights reserved.