Mathematics Seminar: Molecular Cages

Monday, December 3, 2018 12:00pm to 1:00pm

Gunnison, CO 81230

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Molecular Cages

Taylor Allen

Under certain conditions water forms ice cages that trap gaseous molecules such as methane. These cages are then stacked to make repeating lattices called clathrate hydrates which have a variety of interesting properties. Not only are these structures of interest to climate scientists and geologists, but they have also been considered from a mathematical perspective. Specifically, a clathrate hydrate has been proposed as a solution to the Kelvin Problem. We will explore the composition of clathrates from a chemical and mathematical point of view, Kelvin’s conjecture on foams, and why a clathrate structure is an appropriate solution to the Kelvin Problem.



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