Mathematical Modeling in Industry-A Workshop for Graduate
Students
Modeling crystal growth
Tutor: David Misemer, 3M
Growing a population of small crystals from
solution is an important process for several
industries, particularly those engaged in the
production of photographic, agricultural and
pharmaceutical chemicals. The properties that
need to be controlled range from the shape and type
of individual crystals to the distribution of
sizes in the final population. All of the
properties are determined, at least in part,
by the availability of the crystal constituents
in the surrounding solution.
In this activity, we will concentrate on the
distribution of crystal sizes in the population.
Two processes are important in determining the
distribution: nucleation, the creation of
new crystals, and growth, the addition of
material to existing crystals.
We will developing numerical simulations that
predict the evolution of the crystal population.
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