A mathematical model for crystal growth by aggregation of precursor metastable nanoparticles

Article Abstract:

A mathematical model is developed to describe aggregative crystal growth, including oriented aggregation, from evolving pre-existing primary nanoparticles with composition and structure that are different from that of the final crystalline aggregate. The model is simple and able to capture the qualitative features of crystal size distribution evolution that is obtained from crystal growth experiments in hematite, which is a system that is believed to undergo oriented aggregation.

Mathematical models, Crystals, Crystal growth

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Assembly of disperse red 1 molecules in the channels of AlPO(sub 4)-5 single crystals for second-harmonic generation

Article Abstract:

Disperse red 1 (DR1) molecules are incorporated into the one-dimensional channels of AlPO(sub 4)-5 single crystals by using vapor-phase diffusion and the nonlinear optical properties of host-guest nanostructured composites are analyzed. Polarization-dependent experiments have shown that the second-harmonic generation (SHG) processes that occurred in the DR1-loaded AlPO(sub 4)-5 crystals are different from the bulk materials that have 6mm symmetry.

Science & research, Research, Molecular structure, Optical properties

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Quantitative characterization of changes in dynamical behavior of single-particle tracking studies

Article Abstract:

An effective and statistically robust procedure for the extraction of diffusion coefficients and the changes in them from single-particle or single-molecular tracking experiments are presented. It is demonstrated that diffusion coefficients determined using the commonly practiced binning procedure gravely depends on the bin size.

Diffusion, Diffusion (Physics), Properties, Gaussian processes

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