Capillary and Coulombic effects on the gas phase structure of electrosprayed concanavalin A ions and its clusters C(n)(+z) (n = 1-6).

Ion mobility spectrometry (IMS) coupled to mass spectrometry (MS) is used to study the gas phase collision cross section Ω(z, n) in CO(2) of multimers C(n) (n = 1-4, 6) of concanavalin A, whose tetramer C(4) has a crystal structure resembling four tetrahedrically arranged globules. C(n)(+z) ions electrosprayed from aqueous solutions of triethylammonium formate (Et(3)AF) are moderately charged (up to z = 6 and 17 for n = 1 and 6) and produce narrow mobility peaks. Charge states down to z = 1 obtained with a charge-reducing radioactive (63)Ni source are studied for the dimer and the tetramer via pure IMS (no MS). The mobilities are independent of pH in the range 6-8, controlled by addition of triethylamine to the Et(3)AF. The measured compactness group Ω(z, n)/n(2/3) is practically independent of n and z, whereas mobility calculations with clusters of touching spheres show that it should vary with n by 20-30% for a variety of scattering models. This contrast suggests that, irrespective of ambiguities on the scattering model, all multimers adopt globular shapes, precluding in particular a tetrahedral tetramer. Acetic acid solutions (87 mM aqueous) yield ions with substantially higher z, mostly with broad mobility distributions. Exceptionally high z tetramers (z = 25-29) and trimers have narrowly defined mobilities with compact but nonspherical shapes. Addition of 2-4 mM Et(3)AF to the 87 mM aqueous acetic acid solution yields narrowly defined mobilities almost identical at all z values to those from the Et(3)AF buffer, although with higher charge states showing also a transition to nonspherical shapes. We conclude that all gas phase clusters charged below a Rayleigh-like charge, z(R), are globular without regard to solution conditions, some undergoing a sharp shape transition at a critical z = z(R). We confirm that gas phase protein cross sections differ from those expected from the crystal structure, with a trend to compact probably driven by their high surface energy (and opposed by Coulombic stresses). The Rayleigh-like shape transitions seen are similar to those arising in linear homopolymers, although not as sharply defined. They yield a surface energy for protein matter almost as high as the surface tension of water. This quantitative conclusion is corroborated by prior data on cytochrome c and apomyoglobin (also showing a critical shape transition) as well as measurements of the maximum charge versus mass in aggregates of dipeptides.

Layering instability in a confined suspension flow.

We show [J. Fluid Mech. 592, 447 (2007)] that swapping (reversing) trajectories in confined suspension flows prevent collisions between particles approaching each other in adjacent streamlines. Here we demonstrate that by inducing layering this hydrodynamic mechanism changes the microstructure of suspensions in a confined Couette flow. Layers occur either in the near-wall regions or span the whole channel width, depending on the strength of the swapping-trajectory effect. While our theory focuses on dilute suspensions, we postulate that this new hydrodynamic mechanism controls the formation of a layered microstructure in a wide range of densities.

Aggregate size distribution evolution for Brownian coagulation-sensitivity to an improved rate constant.

Brownian motion causes small aggregates to encounter one another and grow in gaseous environments, often under conditions in which the coalescence rate (say, spheroidization by "sintering") cannot compete. The polydisperse nature of the aerosol population formed by this mechanism is typically accounted for by formulating an evolution equation for the joint PDF of the state variables needed for describing individual particles. In the simple case of fractal-like aggregates (prescribed morphology and state, characterized just by the number of aggregated spherules, or total aggregate volume), we use the quadrature method of moments and Monte Carlo simulations to show that recent improvements in the laws governing free molecule regime coagulation frequency (rate "constant") of these aggregates cause systematic changes in the shape of the asymptotic aggregate size distribution, with significant implications for the light-scattering power and inertial impaction behavior of such aggregate populations.

Effective diameters for collisions of fractal-like aggregates: recommendations for improved aerosol coagulation frequency predictions.

Fractal-like aggregate (FA-) drag has been previously calculated/correlated/reported, but "mobility diameter" information is not sufficient to make rational calculations of Brownian coagulation rates (for, say, population-balance modeling). Indeed, until now, only conjectures about gyration-radius scaling behavior have been used to predict FA-FA collision cross sections! But such "scaling relations" are untrustworthy even for FA momentum-, energy-, and mass-transfer purposes, and improved FA-collision rate constants (appearing as "kernels" in the coagulation balance integro-PDE) are overdue. Our premise is that FA collision rates in the free-molecule regime can be predicted using a gas-kinetic type formulation. If (a) carrier gas mean free path and FA persistence length are much larger than any characteristic FA size, (b) FA number density is low, (c) FA velocity and position are uncorrelated, and (d) there is a "hard-sphere" interaction between primary particles of different FAs, such a theory is developed/applied here. We introduce an effective collision diameter, , depending on the geometries of the two participating FAs. Quasi-MC calculations are reported for large ensembles of pairs of FAs, each computer-generated using a tunable cluster-cluster (CC)-algorithm. Our results differ from frequently used theoretical estimates based only on FA gyration (or mobility) radii and D(f). They also confirm that, if the size disparity of the colliding FAs is large, obtained by simply assigning individual diameters to each FA are significantly overestimated. Modified collision rate expressions for FA-coagulation modeling are suggested.