[1] A simple formalism is presented to model chemical interactions between aerosols and reactive trace gases over a wide range of conditions. The model takes into account gas phase diffusion, mass accommodation, bulk phase chemical reactions, surface reactions and particle phase reactant diffusion from the aerosol interior toward the surface. While previous models have focused on the heterogeneous uptake of trace gases by atmospheric droplets and particles, this model focuses on the reactive transformation of condensed phase species. In limiting cases, the model leads to simple analytical expressions for the condensed phase species depletion as a function of aerosol/gas interaction time.

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Advanced research on structural steels has recently focused on the improvement of properties through the control of grain size. Grain refinement increases strength via the Hall-Petch relation, lowers the ductilebrittle transition by increasing resistance to transgranular cleavage, and reduces hydrogen embrittlement by minimizing interfacial fracture along grain or lath boundaries. However, given their different mechanisms, these properties require slightly different measures of the effective grain size. When the grains are smooth and random, all measures of the effective grain size are roughly equivalent. However, transformations in steel are often crystallographically coherent, producing a martensitic, bainitic or ferritic product that has either a Kurdumov-Sachs (KS) or a Nishiyama-Wasserman (NW) relation to the parent austenite. The 24 KS variants and 12 NW variants divide into three sets of eight, corresponding to the three Bain variants of the fcc→bcc transformation. Grain, packet or block boundaries that separate different Bain variants have significant misorientations of the {100} cleavage planes, but may have only slight misorientations of the {110} slip planes. It follows that grain refinement through coherent transformation is very effective in improving resistance to cleavage fracture and, if the boundary facets are small, to hydrogen embrittlement, but is often relatively ineffective in increasing strength. For this reason, grain refinement for increased strength is best done with incoherent transformations (such as the strain-induced ferrite transformation) while grain refinement for low-temperature toughness or hydrogen resistance is best done with coherent transformations that refine the effective grain size without overstrengthening to unacceptably low ductility.KEY WORDS: grain refinement; coherent transformations; strength; ductile-brittle transition; hydrogen embrittlement.and ductile-brittle transition temperature of structural steels obey relations of the Hall-Petch form. The yield strength is given by the classic Hall-Petch relation: (3) where K B is the appropriate Hall-Petch coefficient. While the same parameter, the grain size, d, appears in each of these equations, it is important to recognize that "grain size" has a different meaning for each of the properties of interest. The Effective Grain Size for StrengthAs we have discussed elsewhere, 5) several different theories have been advanced to explain the Hall-Petch relation for strength. Without taking a firm position with respect to these, they have the common feature that grain size limits the distance over which free slip can occur. In Fe, the primary slip planes are the {110} planes, so slip is limited by the dimension of the {110} planes within a grain. Hence the appropriate measure of grain size would appear to be the coherence length along {110}.The dependence of the Hall-Petch coefficient, K y , on the properties of the steel are also at least qualitatively common to the various theories. (4) where we have approximated the yie...

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The inherent brittle mode in dislocated lath martensitic steel is cleavage on {100} planes in the microstructure. The transition to {100} cleavage fracture on cooling determines the minimum value of the ductiule-brittle transition temperature. A half-century of research on the microstructure and toughness of lath martensitic steels has produced a semi-quantitative understanding of the brittle transition to cleavage. The results identify the crystallographic "block" of lath martensite as the effective grain size that controls cleavage, and clarify why the internal structure of a block has the microstructure it adopts. The ductilebrittle transition temperature is strongly affected by the block size. Several effective metallurgical processes are now available to refine the block size without excessive strengthening, leading to martensitic structural steels that combine high strength with good low-temperature toughness.